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The Australian Curriculum Aligned. Prepared. Ready. Supported by independent evidence-based research and practice. Australian Curriculum ready Powerful reporting Student centred The Australian Curriculum Aligned. Prepared. Ready. Content Australian Curriculum Year F 02 Australian Curriculum Year 8 26 Australian Curriculum Year 1 03 Australian Curriculum Year 9 30 Australian Curriculum Year 2 05 Australian Curriculum Year 10 34 Australian Curriculum Year 3 08 Australian Curriculum Year 10A 38 Australian Curriculum Year 4 11 Essential Mathematics 40 Australian Curriculum Year 5 14 General Mathematics 51 Australian Curriculum Year 6 18 Mathematics Methods 60 Australian Curriculum Year 7 21 The Australian Curriculum Aligned. Prepared. Ready. Mathletics and the Australian Curriculum The education team at Mathletics is committed to providing a resource that is powerful, targeted and most importantly relevant to all students. Mathletics includes well over 1200 individual adaptive practice activities and eBooks available for all year levels. Our team of education publishers have created a course that specifically follows the Australian Curriculum. You can be assured that students have access to relevant and targeted content. Strands, sub-strands and learning outcomes of the curriculum are supported with activities, each with pre and post assessment. What’s more, Mathletics contains an extensive library of eBooks – for use on screen or as a printable resource – that are also mapped to the requirements of the Australian Curriculum. This document outlines this mapping and acts as a useful guide when using Mathletics in your school. Andrew Smith CEO, 3P Learning Australia Engage 1 Target © 3P Learning Diagnose Assess Report Fluency Mobile The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year F Strand Substrand Measurement Using units of and measurement Geometry Measurement Using units of and measurement Geometry Measurement and Shape Geometry Outcome Outcome Description Use direct and indirect comparisons to decide which is longer, heavier or ACMMG006 holds more, and explain reasoning in everyday language Connect days of the week ACMMG007 to familiar events and actions Sort, describe and name familiar two-dimensional ACMMG009 shapes and threedimensional objects in the environment Activities Everyday Length Compare Length Which Holds More? Days of the Week eBooks Kindergarten Measurement ͳͳ Length ͳͳ Mass ͳͳ Volume and Capacity Kindergarten Time, Money and Data ͳͳ Time Collect the Shapes Match the Object Same and Different Sort It Kindergarten Space and Shape ͳͳ 2D Space ͳͳ 3D Space Measurement Location and and ACMMG010 transformation Geometry Describe position and movement Where is it? Kindergarten Space and Shape ͳͳ Position Number and Algebra Number and Place Value ACMNA001 Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point Order Numbers to 10 Ordinal Numbers Order Numbers to 20 Compare Numbers to 20 Kindergarten Numbers and Patterns ͳͳ Numbers to 10 ͳͳ Numbers to 20 ͳͳ Numbers to 30 Number and Algebra Number and Place Value ACMNA002 Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond How Many? Number and Algebra Number and Place Value ACMNA004 Represent practical situations to model addition and sharing Adding to Ten All about Ten Share the Treasure Number and Algebra Number and Place Value ACMNA003 Subitise small collections Count to 5 of objects ACMNA005 Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings ACMNA289 Compare, order and make correspondences Before, After and between collections, initially to 20, and explain Between to 20 reasoning. Number and Algebra Number and Algebra Patterns and Algebra Number and Place Value Simple Patterns Pattern Error Missing it! Hot or Cold? Kindergarten Numbers and Patterns ͳͳ Numbers to 10 ͳͳ Numbers to 20 ͳͳ Numbers to 30 Kindergarten Operations with Number ͳͳ Addition ͳͳ Subtraction ͳͳ Grouping and Sharing Kindergarten Numbers and Patterns ͳͳ Numbers to 10 Kindergarten Numbers and Patterns ͳͳ Patterns Kindergarten Numbers and Patterns ͳͳ Numbers to 10 ͳͳ Numbers to 20 ͳͳ Numbers to 30 ͳͳ Ordinal Numbers © 3P Learning 2 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 1 Strand Substrand Outcome Description ACMSP011 Answer yes/no questions to collect information More or Less? ACMMG019 Measure and compare the lengths and capacities of pairs of objects using uniform informal units How Full? Filling Fast! Everyday Length Compare Length Using units of measurement ACMMG020 Tell the time to the halfhour Hour Times Half Hour Times Using units of measurement ACMMG021 Data Statistics and representation Probability and interpretation Measurement Using units of and measurement Geometry Measurement and Geometry Measurement and Geometry Activities Outcome Measurement and Shape Geometry ACMMG022 Descibe duration using Days of the Week months, weeks, days and Months of the Year hours Collect the Shapes Recognise and classify Match the Object familiar two-dimensional Relate Shapes and shapes and threeSolids dimensional objects Count Sides and using obvious features Corners eBooks Kindergarten Time, Money and Data ͳͳ Data Year 1 Measurement ͳͳ Length ͳͳ Volume and Capacity Year 1 Time and Money ͳͳ Time Year 1 Time and Money ͳͳ Time Year 1 Space and Shape ͳͳ 2D Space ͳͳ 3D Space Measurement Location and and ACMMG023 transformation Geometry Give and follow directions Left or Right? to familiar locations Year 1 Space and Shape ͳͳ Position Number and Algebra Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero Year 1 Numbers ͳͳ Numbers to 20 ͳͳ Numbers to 50 ͳͳ Numbers to 100 ͳͳ Skip counting Number and Place Value ACMNA012 Number and Algebra Number and Place Value ACMNA013 Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line Number and Algebra Number and Place Value ACMNA014 Count collections to 100 by partitioning numbers using place value 3 © 3P Learning Counting Backwards Counting Forwards Going Up Going Down Arranging Numbers 1 to 30 Reading Numbers to 30 Number Line Order 1st to 31st Number Lines Compare Numbers to 100 Making Numbers Count Making Big Numbers Count Year 1 Numbers ͳͳ Ordinal Numbers ͳͳ Numbers to 20 ͳͳ Numbers to 50 ͳͳ Numbers to 100 Year 1 Numbers ͳͳ Place Value to 99 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 1 Strand Number and Algebra Number and Algebra Number and Algebra Number and Algebra Substrand Outcome Outcome Description Activities All about Ten All about Twenty Subtracting from Ten Represent and solve simple Addictive Addition addition and subtraction Simple Subtraction Number and problems using a range ACMNA015 Subtraction Facts to 18 Place Value of strategies including Add and Subtract counting on, partitioning Using Graphs and rearranging parts Model Addition Model Subtraction Addition Facts to 18 Recognise and describe Fractrions and ACMNA016 one-half as one of two Halves and Quarters Decimals equal parts of a whole Money and Recognise, describe and Financial ACMNA017 order Australian coins Everyday Money Mathematics according to their value Patterns and Algebra Simple Patterns Investigate and describe Pattern Error number patterns formed by ACMNA018 Missing it! skip counting and patterns Balancing Act with objects Colour Patterns Represent data with Data objects and drawings where Statistics and representation ACMSP262 one object or drawing Probability and represents one data value. interpretation Describe the displays Represent data with Data objects and drawings where Statistics and representation ACMSP263 one object or drawing Probability and represents one data value. interpretation Describe the displays Identify outcomes of familiar events involving chance and describe them Statistics and Chance ACMSP024 using everyday language Probability such as ‘will happen’, ‘won’t happen’ or ‘might happen’ eBooks Year 1 Operations with Number ͳͳ Addition ͳͳ Subtraction Year 1 Numbers ͳͳ Fractions Year 1 Time and Money ͳͳ Money Year 1 Patterns and Relationships ͳͳ Patterns and Rules ͳͳ Year 1 Numbers ͳͳ Skip counting More or Less? Read Graphs Year 1 Chance and Data ͳͳ Data Who has the Goods? Year 1 Chance and Data ͳͳ Data Most Likely and Least Likely Year 1 Chance and Data ͳͳ Chance © 3P Learning 4 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 2 Strand Substrand Measurement Using units of and measurement Geometry Measurement and Geometry Measurement and Geometry Measurement and Geometry Using units of measurement Using units of measurement Using units of measurement Measurement Using units of and measurement Geometry Measurement and Shape Geometry Measurement and Shape Geometry Measurement Location and and transformation Geometry Measurement Location and and transformation Geometry Outcome Outcome Description Compare and order several shapes and objects based on length, ACMMG037 area, volume and capacity using appropriate uniform informal units Compare masses of ACMMG038 objects using balance scales Tell time to the quarterACMMG039 hour, using the language of 'past' and 'to'. ACMMG040 Name and order months and seasons Use a calendar to identify the date and determine the number of days in each mont Describe and draw twodimensional shapes, ACMMG042 with and without digital technologies ACMMG041 ACMMG046 Number and Algebra Recognise, model, ACMNA027 represent and order numbers to at least 1000 5 © 3P Learning How Full? Comparing Length Equal Areas Comparing Volume Everyday Mass Hour Times Tell Time to the Half Hour Months of the Year Identify and describe half and quarter turns eBooks Year 2 Measurement ͳͳ Length ͳͳ Volume and Capacity Year 2 Measurement ͳͳ Mass Year 2 Time and Money ͳͳ Time Year 2 Time and Money ͳͳ Time Using a Calendar Year 2 Time and Money ͳͳ Time Collect More Shapes Shapes Year 2 Space and Shape ͳͳ 2D Space Collect the Objects Collect the Objects 1 Describe the features of How many Edges? ACMMG043 three-dimensional objects How many Corners? Relate Shapes and Solids Interpret simple maps of familiar locations Left or Right? ACMMG044 and identify the relative positions of key features Investigate the effect of one-step slides and flips Flip, Slide, Turn ACMMG045 with and without digital technologie Measurement Location and and transformation Geometry Number and Place Value Activities Flip, Slide, Turn Model Numbers Ascending Order Descending Order Which is Bigger? Year 2 Space and Shape ͳͳ 3D Space Year 2 Space and Shape ͳͳ Position Year 2 Space and Shape ͳͳ 2D Space Year 2 Space and Shape ͳͳ 2D Space Year 2 Numbers ͳͳ Numbers to 999 ͳͳ Ordinal Numbers The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 2 Strand Substrand Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Algebra Outcome Outcome Description Activities Addictive Addition Simple Subtraction Magic Mental Addition Magic Mental Solve simple addition and Subtraction subtraction problems using ACMNA030 Columns that Add a range of efficient mental Column Addition 1 and written strategies Column Subtraction Columns that Subtract Problems: Add and Subtract Groups of Two Groups of Five Groups of Ten Groups of Three Recognise and represent Groups of Four ACMNA031 multiplication as repeated addition, groups and arrays Groups of Six Groups of Seven Groups of Eight Groups of Nine Multiplication Arrays Dividing Twos Dividing Fives Dividing Tens Dividing Threes Recognise and represent Dividing Fours division as grouping into ACMNA032 equal sets and solve simple Dividing Sixes problems using these Dividing Sevens representations Dividing Eights Dividing Nines Share the Treasure Fill the Jars eBooks Year 2 Operations with Number ͳͳ Addition ͳͳ Subtraction ͳͳ Australian Curriculum Mathletics Activities Mathletics Workbooks Year 2 Operations with Number ͳͳ Multiplication Year 2 Operations with Number ͳͳ Division Number and Place Value Investigate number sequences, initially those increasing and decreasing Counting by Twos Counting by Fives ACMNA026 by twos, threes, fives and ten from any starting Counting by Tens point, then moving to other sequences Year 2 Numbers ͳͳ Skip Counting Year 2 Patterns and Relationships ͳͳ Patterns and Rules Number and Place Value Group, partition and rearrange collections up ACMNA028 to 1 000 in hundreds, tens and ones to facilitate more efficient counting Year 2 Numbers ͳͳ Place Value to 999 Model Numbers © 3P Learning 6 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 2 Strand Substrand Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Place Value Statistics and Chance Probability Data Statistics and representation Probability and interpretation Data Statistics and representation and Probability interpretation 7 © 3P Learning Outcome Outcome Description Activities eBooks Year 2 All about Ten Operations with Add to 18 Number Addition Facts to 18 ͳͳ Addition Subtraction Facts to 18 ͳͳ Subtraction Year 2 Investigate number Numbers sequences, initially those ͳͳ Skip Counting increasing and decreasing Counting by Twos ACMNA026 by twos, threes, fives and Counting by Fives Year 2 Patterns and ten from any starting Relationships Counting by Tens point, then moving to other ͳͳ Patterns and sequences. Rules Year 2 Patterns and Problems: Add and Relationships Solve problems by using Subtract ͳͳ Number ACMNA036 number sentences for Problems: Multiply and Relationships addition or subtraction Divide ͳͳ Addition ͳͳ Subtraction Identify practical activities and everyday events that Year 2 involve chance. Describe Chance and Data ACMSP047 outcomes as ‘likely’ or Will it Happen? ‘unlikely’ and identify ͳͳ Chance some events as ‘certain’ or ‘impossible’ Explore the connection ACMNA029 between addition and subtraction ACMSP049 Collect, check and classify Tallies data Create displays of data using lists, table and ACMSP050 picture graphs and interpret them Column Graphs Year 2 Chance and Data ͳͳ Chance Year 2 Chance and Data ͳͳ Chance The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 3 Strand Substrand Outcome Outcome Description Measure, order and compare objects using familiar metric units of length, mass and capacity Activities Using a Litre How Long is That? How Heavy? Measurement Using units of and Measurement Geometry ACMMG061 Measurement Using units of and measurement Geometry Tell time to the minute and ACMMG062 investigate the relationship between units of time What is the Time? Five Minute Times Make models of threeACMMG063 dimensional objects and describe key features How many Faces? How many Edges? How many Corners? What Pyramid am I? What Prism am I? Prisms and Pyramids Faces, Edges and Vertices Measurement and Shape Geometry eBooks Year 3 Measurement ͳͳ Units of Length ͳͳ Volume and capacity ͳͳ Mass Year 3 Time ͳͳ Telling time ͳͳ Measuring time Year 3 Space, Shape and Position ͳͳ Investigating 3D shapes Year 3 Space, Shape and Equal Angles Position Comparing Angles ͳͳ Lines and Angles Following Directions Year 3 Measurement Create and interpret simple Location and Coordinate Meeting Space, Shape and and ACMMG065 grid maps to show position Position transformation Place Geometry and pathways ͳͳ Position Map Coordinates Year 3 Space, Shape and Measurement Location and Identify symmetry in the Position ACMMG066 Symmetry and transformation environment Geometry ͳͳ Investigating 2D shapes Year 3 Reading and Recognise, model, represent Expanding Numbers Understanding Number and Number and ACMNA052 and order numbers to at least Algebra Place Value Whole Numbers Which is Bigger? 10 000 ͳͳ Place value of whole numbers Magic Mental Addition Year 3 Apply place value to partition, Magic Mental Reading and Subtraction rearrange and regroup Understanding Number and Number and Columns that Add ACMNA053 numbers to at least 10 000 Algebra Place Value Whole Numbers to assist calculations and Column Addition 1 ͳ ͳ Place value of solve problems Column Subtraction whole numbers Columns that Subtract Measurement Geometric and Reasoning Geometry Identify angles as measures ACMMG064 of turn and compare angle sizes in everyday situations © 3P Learning 8 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 3 Strand Substrand Outcome Number and Algebra Number and Place Value ACMNA054 Number and Algebra Number and Place Value ACMNA055 Number and Algebra Number and Place Value ACMNA056 Number and Algebra Number and Place Value ACMNA051 Number and Algebra Number and Place Value ACMNA057 Number and Algebra Fractions and Decimals ACMNA058 Number and Algebra Money and Financial Mathematics ACMNA059 9 © 3P Learning Outcome Description Activities eBooks Year 3 Addition and Fact Families: Add and Recognise and explain Subtraction Subtract the connection between ͳ ͳ Subtraction addition and subtraction Related Facts 1 mental strategies Magic Mental Addition Year 3 Recall addition facts for Place Value to Addition and single-digit numbers and Thousands Subtraction related subtraction facts Complements to 50 to develop increasingly ͳͳ Subtraction and 100 efficient mental strategies mental Add Three 1-Digit for computation strategies Numbers Groups of Two Year 3 Groups of Five Multiplication and Groups of Ten Division Groups of Three Recall multiplication facts ͳͳ Introducing of two, three, five and ten Dividing Twos Multiplication and related division facts Dividing Fives ͳͳ Multiplication Dividing Tens Facts Dividing Threes ͳͳ Division Multiplication Arrays Year 3 Reading and Investigate the conditions Understanding required for a number to Odd and Even be odd or even and identify Numbers 1 Whole Numbers odd and even numbers ͳͳ Looking at whole numbers Year 3 Represent and solve Multiplication and problems involving Problems: Times and Division multiplication using efficient mental and written Divide ͳͳ Mental strategies and appropriate Multiplication digital technologies Strategies Halves and Quarters Year 3 Model and represent unit Fractions fractions including 1/2, 1/4, Thirds and Sixths 1/3, 1/5 and their multiples What Fraction is ͳͳ Introducing to a complete whole Fractions Shaded? Represent money values in Year 3 multiple ways and count the How much Change? Addition and change required for simple Subtraction Money transactions to the nearest ͳ ͳ Money five cents The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 3 Strand Number and Algebra Substrand Patterns and Algebra Outcome Outcome Description Describe, continue, and create number patterns ACMNA060 resulting from performing addition or subtraction Conduct chance experiments, identify and Statistics and Chance ACMSP067 describe possible outcomes Probability and recognise variation in results Collect data, organise into categories and create Data displays using lists, tables, Statistics and representation ACMSP069 picture graphs and simple Probability and column graphs, with and interpretation without the use of digital technologies Data Statistics and representation Interpret and compare data ACMSP070 Probability and displays interpretation Activities eBooks Counting by Twos Counting by Tens Increasing Patterns Decreasing Patterns Count Forward Patterns Count Backward Patterns Year 3 Patterns and Algebra ͳͳ Patterns and Functions Fair Games Year 3 Chance and Data ͳͳ Chance Tallies Caroll Diagram Year 3 Chance and Data ͳͳ Data Sorting Data Sorting Data Picture Graphs Pictographs Column Graphs Reading from a Column Graph Year 3 Chance and Data ͳͳ Data © 3P Learning 10 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 4 Strand Substrand Outcome Description Using units of measurement Use am and pm notation ACMMG086 and solve simple time problems Using Timetables Elapsed Time Year 4 Time ͳͳ Measuring time Using units of measurement ACMMG085 Hours and Minutes Year 4 Time ͳͳ Measuring time Convert between units of time Compare angles and classify them as equal to, ACMMG089 greater than or less than a right angle Use simple scales, legends Measurement Location and and directions to interpret and ACMMG090 transformation information contained in Geometry basic maps Create symmetrical Measurement Location and patterns, pictures and and ACMMG091 transformation shapes with and without Geometry digital technologies Measurement Using units of and measurement Geometry Number and Algebra 11 eBooks Use scaled instruments How Heavy? to measure and compare ACMMG084 How Heavy? lengths, masses, capacities Measuring Length and temperature Measurement Geometric and Reasoning Geometry Number and Algebra Activities Year 4 Length, Perimeter and Area ͳͳ Units of length Year 4 Volume, Capacity and Mass ͳͳ Volume and capacity ͳͳ Mass Measurement Using units of and measurement Geometry Measurement and Geometry Measurement and Geometry Outcome Number and Place Value Number and Place Value © 3P Learning Equal Angles What Type of Angle? Comparing Angles Right Angle Relation What Time Will it Be? What Direction was That? Using a Key More Directions! Symmetry Compare objects using Area of Shapes ACMMG290 familiar metric units of area How many Blocks? and volume Year 4 Space, Shape and Position ͳͳ Lines, angles and shapes Year 4 Space, Shape and Position ͳͳ Position Year 4 Space, Shape and Position ͳͳ Lines, angles and shapes Year 4 Length, Perimeter and Area ͳͳ Area Year 4 Volume, Capacity and Mass ͳͳ Volume and capacity ACMNA072 Recognise, represent and order numbers to at least tens of thousands Numbers in Words Place Value to Thousands Greater Than or Less Than? Expanded Notation Year 4 Reading and Understanding Whole Numbers ͳͳ Looking at whole numbers ACMNA073 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems Adding Colossal Columns Subtracting Colossal Columns Year 4 Reading and Understanding Whole Numbers ͳͳ Place value of whole numbers The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 4 Strand Number and Algebra Number and Algebra Number and Algebra Number and Algebra Substrand Number and Place Value Number and Place Value Number and Place Value Number and Place Value Outcome Outcome Description Activities eBooks Year 4 Multiplication and Division ͳͳ Multiplication facts ͳͳ Division ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts Multiplication Facts Division Facts Related Facts 2 Times Tables ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder Year 4 Remainders by Arrays Multiplication and Division Halve it! ͳͳ Mental Contracted multiplication Multiplication strategies ACMNA071 ACMNA074 Number and Algebra Number and Place Value ACMNA079 Number and Algebra Fractions and Decimals ACMNA077 Number and Algebra Fractions and Decimals ACMNA078 Number and Algebra Money and Financial Mathematics ACMNA080 Investigate and use the properties of odd and even numbers. Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems" Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation. Investigate equivalent fractions used in contexts Odd and Even Numbers 1 Year 4 Reading and Understanding Whole Numbers ͳͳ Looking at whole numbers Expanded Notation Year 4 Multiplication and Division ͳͳ Using known facts Decimals from Words to Digits 1 Decimal Place Value Nearest Whole Number Year 4 Fractions ͳͳ Fractions, decimals and percentages Shading Equivalent Fractions Year 4 Fractions ͳͳ Types of fractions Count by quarters halves and thirds, including with mixed numerals. Locate Thirds and Sixths and represent these fractions on a number line Solve problems involving purchases and the How much Change? calculation of change to the nearest five cents with and Money without digital technologies Year 4 Fractions ͳͳ Working with fractions Year 4 Addition and Subtraction ͳͳ Money © 3P Learning 12 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 4 Strand Substrand Outcome Number and Algebra Number and Place Value Explore and describe number patterns ACMNA081 resulting from performing multiplication Number and Algebra Number and Place Value ACMNA082 Number and Algebra Patterns and Algebra ACMNA083 Statistics and Chance Probability ACMSP092 Statistics and Chance Probability ACMSP093 Statistics and Chance Probability ACMSP094 Data Statistics and representation Probability and interpretation ACMSP096 Data Statistics and representation and Probability interpretation ACMSP095 13 © 3P Learning Outcome Description Activities eBooks Multiplying by 10, 100, Year 4 Patterns and 1000 Algebra Skip Counting ͳͳ Patterns and Functions Multiply Multiples of 10 Year 4 Solve word problems by Problems: Times and Multiplication and using number sentences Division involving multiplication or Divide division where there is no Mass Word Problems ͳͳ Patterns and remainder Functions Missing Values Use equivalent number Year 4 Patterns and Complements to 50 sentences involving Algebra and 100 addition and subtraction ͳͳ Division Complements to 10, to find unknown quantities 20, 50 Describe possible everyday What are the Chances? Year 4 Chance and Data events and order their What are the Chances? chances of occurring ͳͳ Chance Year 4 Chance and Identify everyday events Data where one cannot happen Probability Scale if the other happens ͳͳ Chance Identify events where the Year 4 Chance and chance of one will not be Data Probability Scale affected by the occurrence ͳ ͳ Chance of the other Construct suitable data displays, with and without the use of digital Making Graphs Year 4 Chance and technologies, from given Interpreting Tables Data or collected data. Include Reading from a tables, column graphs ͳͳ Data and picture graphs where Column Graph one picture can represent many data values Select and trial methods Year 4 Chance and Tallies for data collection, Data including survey questions Interpreting Tables ͳ ͳ Data and recording sheets The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 5 Strand Substrand Outcome Measurement Location and and ACMMG114 transformation Geometry Activities Outcome Description Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries Transformations Measurement Using units of and measurement Geometry Choose appropriate units of ACMMG108 measurement for length, area, How many Blocks? volume, capacity and mass Measurement Using units of and Measurement Geometry Calculate the perimeter and ACMMG109 area of rectangles using familiar metric unit Measurement Using units of and Measurement Geometry ACMMG110 Measurement Using units of and Measurement Geometry ACMMG111 Measurement Geometric and Reasoning Geometry ACMMG112 Measurement Location and ACMMG113 and transformation Geometry Measurement Location and ACMMG114 and transformation Geometry Measurement Location and and ACMMG115 transformation Geometry Compare 12- and 24-hour time systems and convert between them Connect three-dimensional objects with their nets and other two-dimensional representations Estimate, measure and compare angles using degrees. Construct angles using a protractor Use a grid reference system to describe locations. Describe routes using landmarks and directional language Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries Apply the enlargement transformation to familiar two-dimensional shapes and explore the properties of the resulting image compared with the original eBooks Year 5 Geometry ͳͳ Transformation, tessellation and symmetry Year 5 Length, Perimeter and Area ͳͳ Units of length Year 5 Volume, Capacity and Mass ͳͳ Volume and capacity ͳͳ Mass Area: Squares and Rectangles Perimeter of Shapes Perimeter: Squares and Rectangles Year 5 Length, Perimeter and Area ͳͳ Perimeter 24 Hour Time Year 5 Time ͳͳ Measuring time Nets Year 5 Geometry ͳͳ 3D Shapes Angles in a Revolution Classifying Angles Estimating Angles Labelling Angles Measuring Angles Year 5 Geometry More Directions! Year 5 Position ͳͳ Coordinates Year 5 Geometry Symmetry or Not? ͳͳ Transformation, Rotational Symmetry tessellation and ͳͳ symmetry Transformations Year 5 Geometry ͳͳ Transformation, tessellation and ͳͳ symmetry © 3P Learning 14 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 5 Strand Substrand Outcome Outcome Description Number and Place Value Use estimation and rounding to check the ACMNA099 reasonableness of answers to calculations Number and Algebra Number and Place Value Solve problems involving multiplication of large numbers by one- or ACMNA100 two-digit numbers using efficient mental, written strategies and appropriate digital technologies Number and Algebra Number and Place Value ACMNA101 Number and Algebra Number and Place Value Identify and describe factors and multiples of ACMNA098 whole numbers and use them to solve problems Number and Algebra Investigate strategies to solve problems involving Fractions and ACMNA103 addition and subtraction Decimals of fractions with the same denominator Number and Algebra Number and Algebra Number and Algebra Number and Algebra 15 Solve problems involving division by a one digit number, including those that result in a remainder Activities Estimation: Add and Subtract Nearest 10? Nearest 100? Nearest 1000? Rounding Numbers Year 5 Reading and Understanding Whole Numbers ͳͳ Round and estimate Year 5 Multiplication and Division ͳͳ Mental multiplication strategies ͳͳ Written methods Mental Methods Year 5 Division 1 Multiplication and Remainders by Tables Division ͳͳ Written methods Short Division Year 5 Multiples Multiplication and Division Divisibility Tests Multiply More Multiples ͳͳ Mental multiplication of 10 strat Contracted Multiplication Long Multiplication Mental Methods Multiplication 1 Add: Common Denominator Subtract: Common Denominator Multiply Decimals: 10, 100, 1000 Recognise that the number Fractions and Multiply decimals 10, ACMNA104 system can be extended Decimals 100, 1000 beyond hundredths Divide Decimals: 10, 100, 1000 Comparing Decimals Comparing Decimals 1 Decimal Order Fractions and Compare, order and ACMNA105 Decimals on a Number Decimals represent decimals Line Decimals on the Number Line Describe, continue and create patterns with Describing Patterns fractions, decimals and Patterns and Pick the Next Number ACMNA107 whole numbers resulting Algebra Table of Values from addition and subtraction © 3P Learning eBooks Year 5 Fractions, Decimals and Percentages ͳͳ Calculating Year 5 Fractions, Decimals and Percentages ͳͳ Fractions, decimals and percentages Year 5 Fractions, Decimals and Percentages ͳͳ Fractions, decimals and percentages Year 5 Patterns and Algebra ͳͳ Patterns and Functions The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 5 Strand Number and Algebra Substrand Patterns and Algebra Number and Algebra Number and Place Value Number and Algebra Fractions and Decimals Statistics and Chance Probability Outcome Outcome Description Activities Use equivalent number Find the Missing Number 1 sentences involving ACMNA121 multiplication and Find the Missing Number 2 division to find unknown Missing Values: Decimals quantities Adding Colossal Columns Bump Add and Subtract Compensation - Add Compensation - Subtract Decimal Complements Dividing by 10, 100, 1000 Jump Add and Subtract Mental Methods Division Mental Methods Division 2 Mental Methods Division 3 Use efficient mental Mental Methods and written strategies ACMNA291 and apply appropriate Multiplication 2 digital technologies to Mental Methods Multiplication 3 solve problems Multiply More Multiples of 10 Multiply Multiples of 10 Multiplying by 10, 100, 1000 Place Value to Millions Problems: Times and Divide Split Add and Subtract Subtracting Colossal Columns Compare and order common unit fractions Shading Equivalent Fractions ACMNA102 and locate and represent them on a Comparing Fractions 1 number line List outcomes of chance experiments involving equally How many Combinations? ACMSP116 likely outcomes and represent probabilities of those outcomes using fractions eBooks Year 5 Patterns and Algebra ͳͳ Equations and Equivalence Year 5 Multiplication and Division ͳͳ Mental multiplication strategies ͳͳ Mental division strategies ͳͳ Written methods Year 5 Addition and Subtraction ͳͳ Mental multiplication strategies Year 5 Fractions, Decimals and Percentages ͳͳ Fractions Year 5 Chance and Probability ͳͳ Chance and probability © 3P Learning 16 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 5 Strand Substrand Outcome Statistics and Chance Probability ACMSP117 Data Statistics and representation and Probability interpretation ACMSP119 Data Statistics and representation Probability and interpretation 17 © 3P Learning ACMSP120 Outcome Description List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies Recognise that probabilities range from 0 to 1 Activities eBooks Find the Probability Year 5 Chance and Probability ͳͳ Chance and probability Dot Plots Interpreting Tables Step Graphs Year 5 Data Representation ͳͳ Topics 1 to 3 Find the Probability Year 5 Data Representation ͳͳ Collecting and analysing data The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 6 Strand Substrand Outcome Outcome Description Activities Grams and Kilograms Millilitres and Litres Centimetres and Metres Converting cm and mm Kilogram Conversions Litre Conversions Kilometre Conversions Metres and Kilometres Converting Units of Length Capacity Addition Converting Units of Mass Mass Addition Converting Units of Area Converting Volume Capacity Word Problems Measurement Using units of and measurement Geometry Convert between common metric units ACMMG136 of length, mass and capacity Measurement Using units of and measurement Geometry Solve problems involving the ACMMG137 comparison of lengths and areas using appropriate units Measurement Using units of and Measurement Geometry Connect volume and Volume: Rectangular ACMMG138 capacity and their units Prisms 1 of measurement Measurement Using units of and Measurement Geometry ACMMG139 Measurement Using units of and Measurement Geometry Connect decimal ACMMG135 representations to the metric system Interpret and use timetables Investigate, with and without digital technologies, angles on Measurement a straight line, angles Geometric ACMMG141 and at a point and vertically Reasoning Geometry opposite angles. Use results to find unknown angles Investigate combinations of Measurement translations, reflections Location and ACMMG142 and transformation and rotations, with Geometry and without the use of digital technologies Scale Time Zones eBooks Year 6 Length, Perimeter and Area ͳͳ Units of length Year 6 Volume, Capacity and Mass ͳͳ Volume and capacity Year 6 Length, Perimeter and Area ͳͳ Units of length Topic 3 - Area Year 6 Volume, Capacity and Mass ͳͳ Volume and capacity Year 6 Time ͳͳ Telling time Year 6 Length, Perimeter and Converting Units of Length Area ͳͳ Units of length Measuring Angles Estimating Angles Year 6 Geometry ͳͳ Lines and angles Transformations: Coordinate Plane Year 6 Geometry ͳͳ Transformation, tessellation and symmetry © 3P Learning 18 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 6 Strand Substrand Outcome Outcome Description Activities Measurement Introduce the Cartesian Location and and ACMMG143 coordinate system using Ordered Pairs transformation Geometry all four quadrants Measurement Construct simple prisms and Shape ACMMG140 Prisms and Pyramids and pyramids Geometry Line Graphs: Interpretation Interpret and compare a Line Graphs: Data range of data displays, Interpretation Statistics and representation ACMSP147 including side-by-side Sector Graphs Probability and column graphs for two interpretation Divided Bar Graphs categorical variables Step Graphs Dot Plots Data Statistics and representation and Probability interpretation Statistics and Chance Probability Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra 19 Fractions and Decimals © 3P Learning ACMSP148 Interpret secondary data presented in digital Data Terms media and elsewhere Conduct chance experiments with both small and large ACMSP145 numbers of trials using appropriate digital technologies Identify and describe factors and multiples of ACMNA099 whole numbers and use them to solve problems Identify and describe properties of prime, ACMNA122 composite, square and triangular numbers Select and apply efficient mental and written strategies and appropriate digital ACMNA123 technologies to solve problems involving all four operations with whole numbers Investigate everyday situations that use ACMNA124 integers. Locate and represent these numbers on a number line Solve problems involving addition and ACMNA126 subtraction of fractions with the same or related denominators Dice and Coins eBooks Year 7 ͳͳ The Number Plane Year 6 Geometry ͳͳ 3D shapes Year 6 Chance and Probability ͳͳ Chance and probability Year 6 Data Representation ͳͳ Types of graphs 3 Year 6 Data Representation ͳͳ Collecting and analysing data ͳͳ Data investigations Year 6 Chance and Probability ͳͳ Chance and probability Year 5 Reading and Understanding Whole Multiples Numbers ͳͳ Round and estimate Year 6 Multiplication and Division Prime or Composite? ͳͳ Mental division strategies Estimation: Multiply and Divide Order of Operations 1 Year 6 Multiplication and Division Year 6 Addition and Subtraction Negative or Positive? Temperature Year 6 Reading and Understanding Whole Numbers ͳͳ Types of numbers One take Fraction Subtract: Common Denominator Fraction Word Problems Year 6 Fractions, Decimals and Percentages ͳͳ Calculating The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 6 Strand Substrand Number and Algebra Fractions and Decimals Number and Algebra Fractions and Decimals Number and Algebra Fractions and Decimals Number and Algebra Fractions and Decimals Number and Algebra Fractions and Decimals Number and Algebra Fractions and Decimals Number and Algebra Patterns and Algebra Number and Algebra Patterns and Algebra Outcome Outcome Description Activities eBooks Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies Year 6 Fractions, Fractions of a Collection Decimals and ACMNA127 Unit Fractions Percentages ͳͳ Fractions of an Hours and Minutes amount Nearest Whole Number Adding Decimals Subtracting Decimals Add and subtract decimals, with and without Capacity Addition Year 6 Fractions, digital technologies, Mass Addition Decimals and ACMNA128 and use estimation and Adding and Subtracting Percentages rounding to check the ͳͳ Calculating Decimals reasonableness of answers Rounding Decimals Capacity Word Problems Decimal Complements Multiply decimals by whole numbers and perform Year 6 Fractions, divisions by non-zero Decimal by Whole Decimals and ACMNA129 whole numbers where the Number Percentages results are terminating ͳͳ Calculating decimals, with and without digital technologies Multiply Decimals: 10, Year 6 Fractions, 100, 1000 Multiply and divide Decimals and ACMNA130 decimals by powers of 10 Divide Decimals: 10, 100, Percentages ͳͳ Calculating 1000 Fractions to Decimals Decimals to Fractions 1 Year 6 Fractions, Make connections Decimal to Percentage Decimals and between equivalent ACMNA131 Percentages fractions, decimals and Decimals to Fractions 2 ͳͳ Decimal percentage Percentage to Fraction fractions Modelling Percentages Investigate and calculate Year 6 Fractions, percentage discounts Calculating Percentages Decimals and of 10%, 25% and 50% Percentages ACMNA132 on sale items, with Percent of a Number ͳͳ Fractions of an and without digital amount technologies Continue and create Year 6 Patterns sequences involving whole Pick the Next Number and Algebra numbers, fractions and Describing Patterns ACMNA133 ͳͳ Patterns and decimals. Describe the Pattern Rules and Tables functions rule used to create the sequence Year 6 Patterns Explore the use of and Algebra brackets and order of Order of Operations 1 ACMNA134 ͳͳ Properties of operations to write number sentences arithmetic © 3P Learning 20 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 7 Strand Substrand Outcome Activities Outcome Description Measurement Using units of and Measurement Geometry Area: Squares and Rectangles Area: Triangles Establish the formulas for areas of rectangles, triangles Area: Right Angled ACMMG159 and parallelograms and use Triangles these in problem solving. Surface Area: Rectangular Prisms Area: Quadrilaterals Measurement Using units of and Measurement Geometry ACMMG160 Measurement Using units of and Measurement Geometry ACMMG161 Measurement Geometric and Reasoning Geometry Measurement Geometric and Reasoning Geometry Calculate volumes of rectangular prisms. Draw different views of prisms and solids formed from combinations of prisms. Identify corresponding, alternate and co-interior ACMMG163 angles when two parallel straight lines are crossed by a transversal. Investigate conditions for two lines to be parallel and solve ACMMG164 simple numerical problems using reasoning. Nets Year 7 ͳͳ Solids Parallel Lines Equal, Complement or Supplement? Year 7 ͳͳ Angles Angles and Parallel Lines Year 7 ͳͳ Angles Classify triangles according to their side and angle ACMMG165 properties and describe quadrilaterals. Triangle Tasters Triangles: Acute, Right, Obtuse Measurement Geometric and Reasoning Geometry Demonstrate that the angle sum of a triangle is 180° ACMMG166 and use this to find the angle sum of a quadrilateral. Angle Sum of a Triangle Angle Sum of a Quadrilateral Measurement Location and and ACMMG181 transformation Geometry 21 © 3P Learning Year 7 ͳͳ Perimeter and Area Year 8 ͳͳ Surface Area and Volume* Year 8 ͳͳ Expanding and Factorising Year 8 ͳͳ Equations Volume: Rectangular Year 7 ͳͳ Solids Prisms 1 Measurement Geometric and Reasoning Geometry Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries. eBooks Year 7 ͳͳ Polygons Year 7 ͳͳ Angles and Polygons Year 7 ͳͳ Angles and Polygons Year 8 ͳͳ Equations Transformations Symmetry or Not? Rotational Symmetry Year 7 Transformations: ͳͳ Polygons Coordinate Plane Rotations: Coordinate Plane The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 7 Strand Substrand Measurement Using units of and Measurement Geometry Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Place Value Number and Algebra Number and Algebra Outcome Outcome Description Activities Perimeter: Squares and Rectangles Find perimeters and ACMMG196 areas of parallelograms, Perimeter: Composite rhombuses and kites. Shapes Perimeter eBooks Year 7 ͳͳ Perimeter and Area Year 8 ͳͳ Simplifying Algebra ͳͳ Surface Area and Volume* Year 9 ͳͳ Perimeter and Area Investigate index notation and represent whole numbers as products of powers of prime numbers Prime or Composite? Highest Common Factor Year 7 Index Notation ͳͳ Whole Numbers Lowest Common Multiple Product of Prime Factors Investigate and use ACMNA150 square roots of perfect square numbers Apply the associative, commutative and ACMNA151 distributive laws to aid mental and written computation Estimating Square Roots Year 7 Square Roots ͳͳ Whole Numbers ACMNA149 Real Numbers ACMNA152 Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line Real Numbers ACMNA153 Solve problems involving addition and subtraction of fractions, including those with unrelated denominators Multiplication Properties Arithmetic Laws Addition Properties Equivalent Fractions Simplifying Fractions Mixed to Improper Converting Mixed and Improper Ordering Fractions Comparing Fractions 1 Comparing Fractions with Signs Comparing Fractions 2 One take Fraction Add: Common Denominator Subtract: Common Denominator Subtract: No Common Denominator Mixed Numerals Add Unlike Mixed Numbers Subtract Mixed Numbers: Renaming Add Like Mixed Numbers Subtract Unlike Mixed Numbers Year 7 ͳͳ Whole Numbers Year 7 ͳͳ Fractions ͳͳ Decimals Year 7 ͳͳ Fractions © 3P Learning 22 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 7 Strand Number and Algebra Number and Algebra Number and Algebra Number and Algebra Number and Algebra Substrand Real Numbers Outcome Multiply and divide fractions and decimals ACMNA154 using efficient written strategies and digital technologies Activities Fraction by Whole Number Multiply Decimals: 10, 100, 1000 Divide Decimals: 10, 100, 1000 Decimal by Whole Number Decimal by Decimal Multiplying Fractions Dividing Fractions Multiply Mixed Numbers Divide Mixed Numbers Operations with Fractions ACMNA155 Express one quantity as Fraction Word Problems a fraction of another, Fraction of an Amount with and without the use More Fraction Problems of digital technologies ACMNA156 Round decimals to a specified number of decimal places Real Numbers ACMNA157 Connect fractions, decimals and percentages and carry out simple conversions Real Numbers Find percentages of quantities and express one quantity as a ACMNA158 percentage of another, with and without digital technologies Real Numbers Real Numbers Number and Algebra Real Numbers Number and Algebra Money and Financial Mathematics ACMNA174 Number and Algebra Patterns and Algebra ACMNA175 23 Outcome Description © 3P Learning ACMNA173 Recognise and solve problems involving simple ratios. Investigate and calculate 'best buys', with and without digital technologies Introduce the concept of variables as a way of representing numbers using letters. Nearest Whole Number Rounding Decimals Fractions to Decimals Decimals to Fractions 1 Decimal by Decimal 1 Decimals to Fractions 2 Percentage to Fraction Percentage Composition Calculating Percentages Calculating Percentages 1 Percentage of a Quantity Percentage Word Problems Solve Percent Equations Ratio Equivalent Ratios Best Buy Writing Algebraic Expressions eBooks Year 7 ͳͳ Fractions ͳͳ Decimals ͳͳ Converting Units Year 7 ͳͳ Fractions Year 7 ͳͳ Decimals Year 9 ͳͳ Decimals Year 7 ͳͳ Decimals ͳͳ Percentage Basics Year 8 ͳͳ Percentage Calculations Year 7 ͳͳ Percentage Basics Year 8 ͳͳ Percentage Calculations Year 8 ͳͳ Rates and Ratios* Year 9 ͳͳ Decimals Year 7 ͳͳ Rates and Ratios* Year 8 ͳͳ Financial Maths Year 7 ͳͳ Algebra Basics The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 7 Strand Substrand Number and Algebra Patterns and Algebra Number and Algebra Patterns and Algebra Number and Algebra Linear and non-linear Relationships Number and Algebra Number and Algebra Number and Algebra Linear and non-linear Relationships Linear and non-linear Relationships Number and Place Value Outcome Outcome Description Activities eBooks Year 7 ͳͳ Algebra Basics Year 8 ͳͳ Simplifying Algebra Year 8 ͳͳ Expanding and Factorising Year 7 ͳͳ Algebra Basics Year 8 ͳͳ Simplifying Algebra Year 8 ͳͳ Equations Year 7 ͳͳ The Number Plane Year 7 ͳͳ Polygons Year 8 ͳͳ Coordinate Geometry ACMNA176 Create algebraic expressions and evaluate them by substituting a given value for each variable. Simple Substitution Simple Substitution 1 Complex Substitution Simple Substitution 3 ACMNA177 Extend and apply the laws and properties of arithmetic to algebraic terms and expressions. Using the Distributive Property ACMNA178 Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point. Number Plane Ordered Pairs Coordinate Graphs Horizontal and Vertical Change Solve simple linear equations. Find the Missing Number Find the Missing Number 2 Missing Values: Decimals I am Thinking of a Number! Solving Simple Equations Solve Two-Step Equations Simple Interest Solve Equations: Add, Subtract 2 Solve Equations: Multiply, Divide 1 Solve Equations: Multiply, Divide 2 Year 7 ͳͳ Algebra Basics Year 8 ͳͳ Equations Line Graphs: Interpretation Travel Graphs Conversion Graphs Year 7 ͳͳ Tables and Graphs* Year 7 ͳͳ The Number Plane Year 8 ͳͳ Straight Lines ACMNA179 Investigate, interpret ACMNA180 and analyse graphs from authentic data . ACMNA280 Compare, order, add and subtract integers Integers: Add and Subtract Negative or Positive? Year 7 Ordering Integers ͳͳ Whole Numbers ͳͳ Directed Comparing Integers Numbers More with Integers Directed Numbers © 3P Learning 24 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 7 Strand Substrand Outcome Outcome Description Activities Possible Outcomes What are the Chances? Most Likely and Least Likely Simple Probability Find the Probability Statistics and Chance Probability Construct sample spaces for single-step ACMSP167 experiments with equally likely outcomes. Data Statistics and representation Probability and interpretation Identify and investigate issues involving continuous or large count ACMSP169 Under review data collected from primary and secondary sources. Data Statistics and representation Probability and interpretation Construct and compare a range of data displays ACMSP170 including stem-and-leaf plots and dot plots. Finding the Average Mean Median Mode Mean from Frequency Table Mode from Frequency Calculate mean, median, Table mode and range for sets Median from Frequency of data. Interpret these statistics in the context of Median from Stem and Leaf Plot data. Mode from Stem and Leaf Plot Median and Cumulative Frequency Data Terms Data Extremes and Range Data Statistics and representation Probability and interpretation ACMSP171 Data Statistics and representation and Probability interpretation Describe and interpret data displays using ACMSP172 median, mean and range. 25 © 3P Learning Stem and Leaf Introduction Stem-and-Leaf Plots Dot Plots Data Terms Mean Median Mode eBooks Year 7 ͳͳ Chance Year 7 ͳͳ Data for Statistics* Year 7 ͳͳ Data for Statistics* Year 8 ͳͳ Statistical Graphs* Year 7 ͳͳ Data for Statistics* Year 9 ͳͳ Data Year 7 ͳͳ Data for Statistics* Year 8 ͳͳ Statistical Graphs* The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 8 Strand Substrand Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Geometric and Reasoning Geometry Measurement Geometric and Reasoning Geometry Outcome Outcome Description Activities eBooks Year 7 ͳͳ Converting Units Choose appropriate units of Converting Units of Year 8 measurement for area and Area ACMMG195 ͳͳ Surface Area and volume and convert from Volume* Converting Volume one unit to another. ͳͳ Circles and Cylinders Year 7 ͳͳ Perimeter and Area Year 8 Find perimeters and ͳͳ Simplifying Algebra ACMMG196 areas of parallelograms, Perimeter: Triangles ͳͳ Surface Area and rhombuses and kites. Volume* Year 9 ͳͳ Perimeter and Area Investigate the relationship between features of circles Circumference: Year 8 ͳͳ Circles and such as circumference, Circles ACMMG197 area, radius and diameter. Cylinders* Area: Circles 1 Use formulas to solve Year 9 Labelling Circles ͳͳ Perimeter and Area problems involving circumference and area. Volume: Rectangular Prisms Develop the formulas for 1 volumes of rectangular Volume: Triangular Year 8 and triangular prisms and ͳͳ Surface Area and ACMMG198 Prisms prisms in general. Use Volume* formulas to solve problems Right and Oblique involving volume. Objects Volume: Prisms Time Mentals Elapsed Time Solve problems involving Year 7 duration, including using 12- 24 Hour Time ACMMG199 ͳͳ Time Calculations and 24-hour time within a Australian Time ͳͳ Converting Units single time zone. Zones Time Zones Congruent Figures Year 8 Define congruence of ACMMG200 plane shapes using Congruent Figures: ͳͳ Similarity and transformations. Congruence* Find Values Year 8 ͳͳ Reasoning in Geometry* Develop the conditions for ͳͳ Similarity and ACMMG201 Congruent Triangles congruence of triangles. Congruence* Year 9 ͳͳ Similarity and Congruence © 3P Learning 26 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 8 Strand Substrand Outcome Outcome Description Activities eBooks Year 7 ͳͳ Polygons Year 8 ͳͳ Reasoning in Geometry* Year 9 ͳͳ Polygons and Angles Measurement Geometric and Reasoning Geometry Establish properties of quadrilaterals using congruent triangles and Plane Figure ACMMG202 angle properties, and Theorems solve related numerical problems using reasoning. Number and Algebra Number and Place Value Use index notation with numbers to establish the ACMNA182 index laws with positive integral indices and the zero index Index Form to Numbers The Zero Index Simplifying with Index Laws 1 Properties of Exponents Year 7 ͳͳ Whole Numbers Number and Algebra Number and Place Value Carry out the four operations with integers, using efficient mental ACMNA183 and written strategies and appropriate digital technologies Order of Operations 1 Integers: Multiply and Divide Integers: Order of Operations Year 7 ͳͳ Directed Number Number and Algebra Real Numbers ACMNA184 Number and Algebra Real Numbers Investigate the concept ACMNA186 of irrational numbers, including. Number and Algebra Number and Algebra 27 Investigate terminating and recurring decimals. Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies. Fraction to Terminating Year 7 Decimal ͳͳ Decimals Recurring Decimals ͳͳ Percentage Basics Year 7 ͳͳ Whole Numbers Estimating Cube ͳͳ Directed Number Roots Year 8 ͳͳ Circles and Cylinders* Percentage Increase and Decrease GST Real Numbers ACMNA187 Real Numbers Time Taken Average Speed Distance Travelled Dividing a Quantity in Solve a range of problems a Ratio involving rates and ratios, Rate Word Problems ACMNA188 with and without digital Ratio Word Problems technologies. Converting Rates Rates Calculations Unitary Method Ratio and Proportion © 3P Learning Year 7 ͳͳ Percentage Basics Year 8 ͳͳ Percentage Calculations Year 8 ͳͳ Rates and Ratio* Year 9 ͳͳ Decimals The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 8 Number and Algebra Money and Financial ACMNA189 Mathematics Solve problems Profit and Loss involving profit and loss, Purchase Options with and without digital Successive Discounts technologies Number and Algebra Patterns and Algebra ACMNA190 Extend and apply the distributive law to the expansion of algebraic expressions. Expanding with Negatives Expanding Brackets Using the Distributive Property Number and Algebra Patterns and Algebra ACMNA191 Factorise algebraic expressions by identifying numerical factors. Highest Common Factor Divisibility Tests Factorising Year 8 ͳͳ Expanding and Factorising Simplify algebraic expressions involving the four operations. Recognising Like Terms Like Terms: Add and Subtract Algebraic Multiplication Dividing Expressions Simplifying Expressions Year 8 ͳͳ Simplifying Algebra ͳͳ Expanding and Factorising Year 9 ͳͳ Simplifying Algebra Number and Algebra Patterns and Algebra ACMNA192 Linear and non-linear ACMNA193 Relationships Outcome Description eBooks Substrand Number and Algebra Outcome Activities Strand Find the Pattern Rule Pattern Rules and Tables Function Rules and Tables Graphing from a Table of Values Plot linear relationships Graphing from a Table of on the Cartesian Values 2 plane with and without Reading Values from a the use of digital Line technologies. Determining a Rule for a Line General Form of a Line Horizontal and Vertical Lines Year 8 ͳͳ Percentage Calculations Year 9 ͳͳ Earning Money Year 8 ͳͳ Equations ͳͳ Expanding and Factorising Year 9 ͳͳ Simplifying Algebra Year 7 ͳͳ The Number Plane Year 8 ͳͳ Straight Lines ͳͳ Linear Relationships Year 10 ͳͳ Straight Lines © 3P Learning 28 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 8 Strand Number and Algebra Substrand Linear and non-linear Relationships Statistics and Chance Probability Statistics and Chance Probability Data Statistics and representation Probability and interpretation Data Statistics and representation Probability and interpretation Data Statistics and representation and Probability interpretation Statistics and Chance Probability Data Statistics and representation and Probability interpretation 29 © 3P Learning Outcome ACMNA194 Outcome Description Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution. Identify complementary events and use the sum ACMSP204 of probabilities to solve problems. Describe events using language of 'at least', exclusive 'or' (A or B ACMSP205 but not both), inclusive 'or' (A or B or both) and 'and'. Explore the practicalities and implications of ACMSP206 obtaining representative data using a variety of investigative processes. ACMSP207 Investigate the effect of individual data values, including outliers, on the mean and median. Investigate techniques for collecting data, ACMSP284 including census, sampling and observation. Represent such events in two-way tables and Venn ACMSP292 diagrams and solve related problems. Explore the variation of means and proportions ACMSP293 of random samples drawn from the same population. Activities eBooks Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Writing Equations Find the Mistake Checking Solutions Solve Systems by Graphing Write an Equation: Word Problems Year 8 ͳͳ Equations ͳͳ Inequalities ͳͳ Linear Relationships ͳͳ Straight Lines Probability Scale Complementary Events Year 8 ͳͳ Probability Probability Tables Year 8 ͳͳ Probability Under review Year 7 ͳͳ Data for Statistics* Data Terms Mean Median Mode Year 8 ͳͳ Analysing Statistical Data* Under review Year 7 ͳͳ Data for Statistics* Venn Diagrams Two-way Table Probability Venn Diagram1 Year 8 ͳͳ Probability Under review Year 8 ͳͳ Analysing Statistical Data* The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 9 Strand Substrand Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Using units of and Measurement Geometry Measurement Geometric and Reasoning Geometry Measurement Geometric and Reasoning Geometry Measurement Pythagoras' Theorem and and Trigonometry Geometry Measurement Pythagoras' Theorem and and Trigonometry Geometry Outcome Outcome Description Activities eBooks Year 7 ͳͳ Perimeter and Area Year 8 Area: Composite ͳͳ Surface area Calculate the areas of Shapes ACMMG216 and Volume* composite shapes. ͳͳ Circles and Area: Annulus Cylinders* Year 9 ͳͳ Perimeter and Are Year 8 Volume: Cylinders Calculate the surface area ͳͳ Circles and ACMMG217 and volume of cylinders and Surface Area: Cylinders Cylinders* solve related problems. Year 9 Nets ͳͳ Measuring Solids Year 8 ͳͳ Surface Area Solve problems involving the Volume: Rectangular ACMMG218 surface area and volume of and Volume* Prisms 2 Year 9 right prisms. ͳͳ Measuring Solids Year 7 Investigate very small and ͳͳ Converting Units ACMMG219 very large time scales and Scientific Notation Year 9 intervals. ͳͳ indices Similar Figures Using Similar Triangles Year 8 Use the enlargement ͳͳ Similarity and 1 transformation to explain Congruence* ACMMG220 similarity and develop the Scale Year 9 conditions for triangles to be MeasurementSimilar ͳͳ Similarity and similar. Figures 1 Congruence Scale Factor Year 8 ͳͳ Similarity and Solve problems using ratio Similar Areas and Congruence* ACMMG221 and scale factors in similar Volumes Year 9 figures. ͳͳ Similarity and Congruence Investigate Pythagoras’ Pythagorean Triads Year 8 Theorem and its application Pythagoras' Theorem ACMMG222 to solving simple problems ͳͳ Pythagoras’ Hypotenuse of a Right involving right angled Theorem Triangle triangles. Use similarity to investigate the constancy of the sine, Year 9 Using Similar Triangles ACMMG223 cosine and tangent ratios ͳͳ Trigonometry for a given angle in rightangled triangles. © 3P Learning 30 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 9 Strand Substrand Measurement Pythagoras' and Theorem and Geometry Trigonometry Outcome ACMMG224 Number and Algebra Real Numbers ACMNA208 Number and Algebra Real Numbers ACMNA209 Number and Algebra Real Numbers ACMNA210 Number and Algebra Money and Financial Mathematics ACMNA211 Number and Algebra Patterns and Algebra ACMNA212 Number and Algebra Patterns and Algebra ACMNA213 Number and Algebra Linear and non-linear Relationships ACMNA214 31 © 3P Learning Outcome Description Activities Hypotenuse, Adjacent, Opposite Sin A Apply trigonometry Cos A to solve right-angled Tan A triangle problems. Find Unknown Angles Find Unknown Sides Exact Trigonometric Ratios Rates Word Problems Solve problems Converting Rates involving direct Rates proportion. Explore the Solve Proportions relationship between Rates Calculations graphs and equations corresponding to simple Direct Variation Indirect Variation rate problems. Ratio and Proportion Apply index laws to Index Notation numerical expressions Index Form to Numbers with integer indices. Scientific Notation 2 Express numbers in Scientific Notation scientific notation. Scientific Notation 1 Solve problems involving simple Simple Interest interest. Algebraic Multiplication Dividing Expressions Extend and apply the index laws to variables, Index Notation and Algebra using positive integral indices and the zero Multiplication with Indices index. Index Laws with Brackets Zero Index and Algebra eBooks Year 9 ͳͳ Trigonometry Year 7 ͳͳ The Number Plane Year 8 ͳͳ Rates and Ratios* Year 9 ͳͳ Decimals Year 9 ͳͳ Indices Year 9 ͳͳ Indices Year 10 ͳͳ Interest Year 8 ͳͳ Simplifying Algebra Year 9 ͳͳ Simplifying Algebra ͳͳ Indices Year 8 Apply the distributive law to the expansion of Expanding with Negatives ͳͳ Expanding and Factorising algebraic expressions, Expanding Brackets including binomials, Year 9 Expand then Simplify and collect like terms ͳͳ Simplifying where appropriate. Algebra Find the distance Distance Between Two between two points Year 9 located on a Cartesian Points ͳ ͳ Coordinate plane using a range Coordinate Methods in Geometry of strategies, including Geometry graphing software. The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 9 Strand Number and Algebra Number and Algebra Substrand Linear and non-linear Relationships Linear and non-linear Relationships Statistics and Chance Probability Outcome ACMNA215 ACMNA294 ACMSP225 Statistics and Chance Probability ACMSP226 Statistics and Chance Probability ACMSP227 Data Statistics and representation ACMSP228 and Probability interpretation Outcome Description Activities Determining a Rule for a Line Which Straight Line? Equation of a Line 1 Sketch linear graphs using the coordinates Horizontal and Vertical of two points and solve Lines linear equations. Equation from Point and Gradient Equation from Two Points Midpoint by Formula Find the midpoint Gradient and gradient of a line Slope of a Line segment (interval) on the Gradients for Real Cartesian plane using y=ax a range of strategies, Graphing Parabolas including graphing Graphing Circles software. Centre and Radius 1 List all outcomes for twostep chance experiments, Probability With both with and without Replacement replacement using tree Probability Without diagrams or arrays. Replacement Assign probabilities to outcomes and determine Tree Diagrams probabilities for events. Calculate relative frequencies from given Relative Frequency or collected data to estimate probabilities of Two-way Table Probability events involving 'and' or 'or'. Investigate reports of surveys in digital media and elsewhere for information on how data Under review were obtained to estimate population means and medians. Identify everyday questions and issues involving at least one Under review numerical and at least one categorical variable, and collect data directly from secondary sources. eBooks Year 9 ͳͳ Linear Relationships Year 10 ͳͳ Straight Lines Year 8 ͳͳ Straight Lines ͳͳ Linear Relationships Year 9 ͳͳ Coordinate Geometry Year 7 ͳͳ Chance Year 8 ͳͳ Probability Year 9 ͳͳ Probability Year 8 ͳͳ Probability Year 9 ͳͳ Probability Under review Year 8 ͳͳ Analysing Statistical Data* © 3P Learning 32 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 9 Strand Substrand Outcome Outcome Description Activities eBooks Data Statistics and representation Probability and interpretation Construct back-toback stem-and-leaf plots and histograms ACMSP282 and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ . Frequency Histograms Cumulative Frequency Table Histogram or Polygon? Data Terms Cumulative Frequency Histogram Double Stem and Leaf Plots Year 8 ͳͳ Statistical Graphs* Data Statistics and representation Probability and interpretation Compare data displays using mean, median and range to describe ACMSP283 and interpret numerical data sets in terms of location (centre) and spread. Data Terms Mean Median Mode Year 9 ͳͳ Data Year 10 ͳͳ Interpreting Data 33 © 3P Learning The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10 Strand Substrand Outcome Outcome Description Solve problems involving surface area and volume ACMMG242 for a range of prisms, cylinders and composite solids. Measurement Formulate proofs involving Location and and ACMMG243 congruent triangles and transformation Geometry angle properties. Apply logical reasoning, including the use of Measurement Geometric congruence and similarity, and ACMMG244 Reasoning to proofs and numerical Geometry exercises involving plane shapes. Measurement Using units of and Measurement Geometry Measurement Pythagoras' and Theorem and Geometry Trigonometry Solve right-angled triangle problems ACMMG245 including those involving direction and angles of elevation and depression. Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies. Money and Financial Mathematics ACMNA229 Number and Algebra Patterns and Algebra Factorise algebraic expressions by taking ACMNA230 out a common algebraic factor. Number and Algebra Patterns and Algebra ACMNA231 Number and Algebra Number and Algebra Patterns and Algebra ACMNA232 Activities eBooks Surface Area: Triangular Prisms Year 9 Volume: Composite ͳͳ Measuring Solids Figures Year 9 Angle Sum of a Triangle ͳͳ Similarity and Congruence Congruent Figures: Find Year 9 Values ͳͳ Similarity and Similarity Proofs Congruence Elevation and Depression True and Compass Bearings Year 8 ͳͳ Pythagoras’ Theorem Year 9 ͳͳ Trigonometry Compound Interest Compound Interest by Formula Year 10 ͳͳ Interest Factorising Expressions Factorising with Indices Highest Common Algebraic Factor Expanding with Negatives Simplify algebraic products and quotients using index laws. Simplifying with Index Laws 2 Apply the four operations to simple algebraic fractions with numerical denominators. Algebraic Fractions 1 Algebraic Fractions 2 Special Binomial Products Factorising Quadratics 1 Grouping in Pairs Completing the Square Simplifying Binomial Expressions Year 8 ͳͳ Expanding and Factorising Year 9 ͳͳ Simplifying Algebra Year 8 ͳͳ Simplifying Algebra Year 9 ͳͳ Simplifying Algebra Year 10 ͳͳ Factorising © 3P Learning 34 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10 Strand Substrand Outcome Outcome Description Activities Changing the Subject Real Formulae Rearranging the Equation More Substitution in Formulae Number and Algebra Patterns and Algebra Substitute values into ACMNA234 formulas to determine an unknown. Number and Algebra Linear and non-linear Relationships Solve problems involving General Form of a Line linear equations, ACMNA235 Changing the Subject including those derived Constructing Formulae from formulas. Number and Algebra Linear and non-linear Relationships Number and Algebra Linear and non-linear Relationships Number and Algebra Linear and non-linear Relationships 35 © 3P Learning Solve Two-Step Equations Solving Inequalities 1 Graphing Inequalities 1 Solve linear inequalities Solve One-Step Inequalities 1 and graph their ACMNA236 solutions on a number Solve One-Step line. Inequalities 2 Solving Inequalities 2 Linear Regions Solving Inequalities 3 Graphing Inequalities 3 Intersecting Linear Regions Simultaneous Equations 1 Solve linear simultaneous equations, Simultaneous Equations 2 using algebraic and ACMNA237 graphical techniques Simultaneous Linear including using digital Equations technology. Breakeven Point Expanding Binomial Surds Equation of a Line 2 Are they Parallel? Solve problems ACMNA238 involving parallel and Are they Perpendicular? perpendicular lines. Equation of a Line 3 eBooks Year 8 ͳͳ Equations Year 9 ͳͳ Equations and Inequalities Year 10 ͳͳ Depreciation ͳͳ Interest ͳͳ Non Right-angled Triangles Year 8 ͳͳ Equations Year 9 ͳͳ Equations and Inequalities Year 8 ͳͳ Equations Year 9 ͳͳ Equations and Inequalities Year 8 ͳͳ Linear Relationship ͳͳ Inequalities Year 9 ͳͳ Equations and Inequalities ͳͳ Linear Relationships Year 9 ͳͳ Linear Relationships The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10 Strand Number and Algebra Substrand Linear and non-linear Relationships Number and Algebra Linear and non-linear Relationships Number and Algebra Linear and non-linear Relationships Statistics and Chance Probability Statistics and Chance Probability Data Statistics and representation and Probability interpretation Data Statistics and representation and Probability interpretation Outcome Outcome Description Activities Vertex of a Parabola Graphing Parabolas Graphing Exponentials Parabolas and ACMNA239 Marbles Parabolas and Rectangles Centre and Radius 2 Equations with Fractions Equations with Square Solve linear equations Roots ACMNA240 involving simple algebraic Equations with Cube fractions. Roots Equations with Fractions 2 Quadratic Equations 1 Quadratic Formula Solve simple quadratic ACMNA241 equations using a range Simultaneous of strategies. Equations 3 Quadratic Equations 2 Describe the results of two- and three-step chance experiments, Probability With both with and without Replacement replacements, assign ACMSP246 Dice and Coins probabilities to outcomes and determine Probability Without Replacement probabilities of events. Investigate the concept of independence. Use the language of ‘if .... then, ‘given’, ‘of’, ‘knowing Venn Diagrams that’ to investigate Tree Diagrams ACMSP247 conditional statements Two-way Table and identify common Probability mistakes in interpreting such language. Calculating Interquartile Range Determine quartiles and ACMSP248 interquartile range. Data Extremes and Range Box-and-Whisker Plots 2 Construct and interpret Box-and-Whisker ACMSP249 box plots and use them to Plots 1 compare data sets. Double Stem and Leaf Plots Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate. eBooks Year 10 ͳͳ Circle Graphs ͳͳ Simple Non Linear Graphs ͳͳ Parabolas ͳͳ Exponential and Power Graphs ͳͳ Functions Year 8 ͳͳ Equations ͳͳ Inequalities Year 9 ͳͳ Equations and Inequalities Year 10 ͳͳ Quadratic Equations Year 8 ͳͳ Probability Year 9 ͳͳ Probability Year 8 ͳͳ Probability Year 9 ͳͳ Probability Year 10 ͳͳ Interpreting Data Year 10 ͳͳ Interpreting Data © 3P Learning 36 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10 Strand Substrand Data Statistics and representation Probability and interpretation Data Statistics and representation Probability and interpretation Data Statistics and representation Probability and interpretation Data Statistics and representation Probability and interpretation 37 © 3P Learning Outcome Outcome Description Activities eBooks Box-and-Whisker Plots 2 Compare shapes of box Box-and-Whisker Plots 1 plots to corresponding Cumulative Frequency ACMSP250 Under histograms and dot Histogram plots. Frequency Histograms Dot Plots Use scatter plots to investigate ACMSP251 and comment on Scatter Plots Under relationships between two continuous variables Investigate and describe bivariate numerical data ACMSP252 Under review Under where the independent variable is time. Evaluate statistical reports in the media and other places ACMSP253 Under review Under by linking claims to displays, statistics and representative data. review review review review The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10A Strand Substrand Measurement Using units of and Measurement Geometry Measurement Geometric and Reasoning Geometry Measurement Pythagoras' and Theorem and Geometry Trigonometry Measurement Pythagoras' and Theorem and Geometry Trigonometry Outcome Outcome Description Activities eBooks Surface Area: Square Pyramids Surface Area: Spheres Solve problems involving Surface Area: Cones surface area and volume Volume: Pyramids Year 9 ACMMG271 of right pyramids, right Volume: Cones ͳͳ Measuring Solids cones, spheres and Volume: Spheres related composite solids. Surface Area: Rearrange Formula Surface Area: Rectangular Pyramids Year 10 Circle Theorem Prove and apply angle ͳͳ Geometry of the ACMMG272 and chord properties of Perimeter and Circles Circle: circles. Arc Length ͳͳ Chords and Angles Period and Amplitude Use the unit circle to Trigonometric define trigonometric Year 10 Relationships functions, and graph ACMMG274 them with and without Sine and Cosine Curves ͳͳ Trigonometric Relationships the use of digital Sign of the Angle technologies . Which Quadrant? ACMMG275 Trig Equations 1 Solve simple trigonometric equations.. Trig Equations 2 Apply Pythagoras’ theorem and Measurement Pythagoras' trigonometry to solving and Theorem and ACMMG276 Under review three-dimensional Geometry Trigonometry problems in right-angled triangles. Simplifying Surds Adding and Subtracting Surds Multiplying Surds Expanding Surd Define rational and Expressions irrational numbers and Number and Real Numbers ACMNA264 perform operations with Rationalising the Algebra surds and fractional Denominator indices. Surd Form to Index Form Fractional Indices Dividing Surds Expanding Binomial Surds Use the definition of a Log Base 'e' Number and logarithm to establish Log Laws Real Numbers ACMNA265 Algebra and apply the laws of Change of Base logarithms. Under review Under review Year 9 ͳͳ Indices Year 10 ͳͳ Surds and Indices Year 10 ͳͳ Logarithms © 3P Learning 38 The Australian Curriculum Aligned. Prepared. Ready. Australian Curriculum Year 10A Strand Substrand Outcome Outcome Description Patterns and Algebra Investigate the concept of a polynomial and ACMNA266 apply the factor and remainder theorems to solve problems. Activities eBooks Polynomial Long Division Year 10 ͳͳ Polynomials Linear and non-linear Relationships Describe, interpret and sketch parabolas, hyperbolas, circles ACMNA267 and exponential functions and their transformations. Identifying Graphs Graphing Hyperbolas Non Linear Graphs Year 10 ͳͳ Circle Graphs ͳͳ Simple Non Linear Graphs ͳͳ Exponential and Power Graphs ͳͳ Functions ͳͳ Parabolas Number and Algebra Linear and non-linear Relationships Factorise monic and non-monic quadratic expressions and solve a ACMNA269 wide range of quadratic equations derived from a variety of contexts. Factorising Quadratics 1 Year 10 Factorising Quadratics 2 ͳͳ Quadratic Rearranging the Equation Equations Factorising and Fractions 1 Number and Algebra Linear and non-linear Relationships ACMNA270 Number and Algebra Number and Algebra Data Statistics and representation Probability and interpretation ACMSP278 Data Statistics and representation Probability and interpretation ACMSP279 39 © 3P Learning Solve simple exponential Exponential Equations equations. Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation. Under review Calculating Standard Deviation Interpreting Standard Deviation Year 10 ͳͳ Interpreting Data Correlation Under review The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Substrand Calculations Calculations Calculations Calculations Calculations Calculations Calculations Outcome Outcome Description Activities eBooks Common Denominator No Common Denominator Multiplying Fractions Dividing Fractions Divide Whole Number by Fraction Fraction by Whole Number Adding and Subtracting Decimals Decimal by Decimal Divide Decimal by Whole Number Divide Decimal by Decimal Integers: Add and Subtract More with Integers Integers: Multiply and Divide Calculations.1 solve practical problems requiring basic number operations Calculations.2 Integers: Order of Operations apply arithmetic Order of Operations 1 operations according to Order of Operations 2 their correct order (PEDMAS) Calculations.3 reasonableness of answers to arithmetic calculations Compatible Numbers Estimation: Multiply and Divide Estimation: Add and Subtract Estimate Products Estimate Quotients Compatible Numbers Estimation: Multiply and Divide Estimation: Add and Subtract Estimate Products Estimate Quotients Compatible Numbers Estimation: Multiply and Divide Estimation: Add and Subtract Estimate Products Estimate Quotients Calculations.4 use leading-digit approximation Calculations.5 check results of calculations for accuracy Calculations.6 Decimal Place Value significance of place value after the decimal Comparing Decimals 1 point Comparing Decimals 2 Calculations.7 evaluate decimal fractions to the required number of decimal places Rounding Decimals Year 7 Whole Numbers Decimals Fractions Year 7 Whole Numbers Directed Numbers Year 7 Whole Numbers Directed Numbers Year 7 Whole Numbers Directed Numbers Year 7 Whole Numbers Directed Numbers Year 8 Decimals Year 9 Decimals Year 8 Decimals Year 9 Decimals © 3P Learning 40 The Australian Curriculum Aligned. 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Essential Mathematics Strand Substrand Outcome Description Calculations.8 round up or round down numbers to the required Rounding Decimals number of decimal Rounding Decimals 2 places Topic 1: Calculations, Percentages and Rates Calculations Topic 1: Calculations, Percentages and Rates Percentages Percentages.1 Topic 1: Calculations, Percentages and Rates Percentages Percentages.2 Topic 1: Calculations, Percentages and Rates Percentages Percentages.3 Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates Topic 1: Calculations, Percentages and Rates eBooks Year 8 Decimals Year 9 Decimals Year 7 Percentage Basics calculate a percentage Calculating Percentages Year 8 of a given amount Percentage Calculations Year 7 Percentage Basics determine one amount Percent of a Number expressed as a Year 8 Percentage Composition percentage of another Percentage Calculations Year 7 Percentage Increase Percentage Basics apply percentage and Decrease increases and decreases Year 8 Percentage Word in situations Percentage Problems Calculations Rates Rates.1 identify common usage of rates Rates Year 9 Decimals Rates Rates.2 convert units of rates occurring in practical situations Converting Rates Year 9 Decimals Rates.3 use rates to make comparisons; for example, using unit prices to compare best buys Best Buy Purchase Options Under review Rates Topic 2: Linear Measurement Measure Linear Measure.1 use metric units of length Topic 2: Linear Measurement Measure Linear Measure.2 convert between metric units of length Linear Measure.3 calculate perimeters of familiar shapes, including triangles, squares, rectangles, and composites of these Topic 2: Linear Measurement Measure 41 Activities Outcome © 3P Learning Centimetres and Metres Converting cm and mm Metres and Kilometres Converting Units of Length Operations with Length Centimetres and Metres Converting cm and mm Metres and Kilometres Converting Units of Length Operations with Length Perimeter: Squares and Rectangles Perimeter: Triangles Perimeter: Composite Shapes Year 7 Converting Units Year 7 Converting Units Year 7 Area and Perimeter Year 9 Perimeter and Area The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Substrand Topic 2: Area Measurement measure Topic 2: Area Measurement measure Topic 2: Area Measurement measure Topic 2: Mass Measurement Topic 2: Mass Measurement Topic 2: Volume and Measurement capacity Topic 2: Volume and Measurement capacity Topic 2: Volume and Measurement capacity Topic 3: Algebra Single Substitution Topic 3: Algebra General Substitution Outcome Outcome Description Activities eBooks Year 7 Area and Perimeter Area.1 use metric units of area Converting Units of Area Year 9 Perimeter and Area Year 7 Area and Perimeter convert between metric Area.2 Converting Units of Area units of area Year 9 Perimeter and Area Year 7 Area and Area: Squares and Rectangles Perimeter calculate areas of Area.3 rectangles and triangles Area: Triangles Year 9 Area: Right Angled Triangles Perimeter and Area Mass Word Problems Converting Units of Mass Year 7 Mass.1 use metric units of mass Kilogram Conversions Converting Units Grams and Kilograms Grams and Milligrams Mass Word Problems Converting Units of Mass Year 7 conversions between Mass.2 Kilogram Conversions Converting them Units Grams and Kilograms Grams and Milligrams use metric units of Volume.1 Converting Volume Under review volume understand the Volume.2 relationship between Converting Volume Under review volume and capacity calculate the volume of Volume: Rectangular Prisms 1 Volume: Rectangular Prisms 2 Year 9 objects, such as cubes Volume.3 Measuring and rectangular and Volume: Triangular Prisms Solids triangular prisms Volume: Cylinders Year 7 Algebra Basics substitute numerical Simple Substitution Substitution.1 values into algebraic Year 8 Substitution with Fractions expressions Simplifying Algebra substitute given Year 7 Simple Substitution values for the other Algebra Basics Complex Substitution pronumerals in a Substitution.2 Year 8 mathematical formula More Substitution in Formulae Simplifying to find the value of the Solving Simple Equations Algebra subject of the formula © 3P Learning 42 The Australian Curriculum Aligned. 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Essential Mathematics Strand Substrand Reading and Topic 4: Graphs interpreting graphs Reading and Topic 4: Graphs interpreting graphs Topic 1: Data Representing Presentation and comparing and data Interpretation Topic 1: Representing and comparing data Data Presentation and Interpretation Topic 1: Representing and comparing data Topic 1: Representing and comparing data Summarising and interpreting data Summarising and interpreting data Topic 1: Representing and comparing data Summarising and interpreting data Topic 1: Representing and comparing data Summarising and interpreting data Topic 1: Representing and comparing data Summarising and interpreting data Topic 1: Representing and comparing data Comparing data sets 43 © 3P Learning Outcome Outcome Description Activities eBooks Graphs.1 interpret information presented in graphs, such as conversion graphs, line graphs, step graphs, column graphs and picture graphs Sector Graphs Histograms Divided Bar Graphs Line Graphs: Interpretation Step Graphs Year 9 Data Year 10 Interpreting Data Graphs.2 two-way tables Two-way Table Probability Year 9 Probability Data.1 display categorical data in tables and column graphs Histogram or Polygon? Cumulative Frequency Histogram Year 9 Data Year 10 Interpreting Data Data.2 Cumulative Frequency Table display numerical Dot Plots data as frequency Stem and Leaf distributions, dot plots, Introduction stem and leaf plots, and Stem-and-Leaf Plots histograms Double Stem and Leaf Plots Year 9 Data Year 10 Interpreting Data Data.3 identify the mode Mode Mode from Frequency Table Data.4 mean Mean Mean from Frequency Table Data.5 median Median Median from Frequency Median and Cumulative Frequency Year 9 Data Year 10 Interpreting Data Year 9 Data Year 10 Interpreting Data Year 9 Data Year 10 Interpreting Data Data.6 quartiles, deciles and percentiles Calculating Interquartile Range Year 10 Interpreting Data Data.7 range and standard deviation Data Extremes and Range Calculating Standard Year 10 Deviation Interpreting Data Interpreting Standard Deviation Data.8 back-to-back stem plots Double Stem and Leaf Plots Under review The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Topic 1: Representing and comparing data Topic 1: Representing and comparing data Topic 1: Representing and comparing data Activities eBooks Substrand Outcome Outcome Description Comparing data sets Data.9 five number summary Calculating Interquartile Range Comparing data sets Data.10 box plots Box-and-Whisker Plots 1 Year 10 Box-and-Whisker Plots 2 Interpreting Data Under review compare the characteristics of the Box-and-Whisker Plots 1 Year 10 shape of histograms Box-and-Whisker Plots 2 Interpreting Data using symmetry, skewness and bimodality Year 7 Percentage Basics calculating a percentage Percentage of a Year 8 of a given amount Quantity Percentage Calculations Year 7 Percentage Basics one amount expressed as a percentage of Solve Percent Equations Year 8 another Percentage Calculations calculate simple interest Year 10 for different rates and Simple Interest Interest periods Ratio express a ratio in Year 9 Unitary Method simplest form Decimals Equivalent Ratios Ratio and Proportion find the ratio of two Year 9 Solve Proportions quantities Decimals Ratio Word Problems Comparing data sets Data.11 Topic 2: Percentages Percentage Calculations Percent.1 Topic 2: Percentages Percentage Calculations Percent.2 Topic 2: Percentages Applications of Percent.3 percentages Topic 3: Rates and ratios Ratios Ratios.1 Ratios Ratios.2 Ratios Ratios.3 divide a quantity in a given ratio Dividing a Quantity in a Ratio Year 9 Decimals Rates Rates.1 common usage of rates such as km/h Average Speed Under review Rates Rates.2 convert between units for rates Average Speed Under review Topic 3: Rates and ratios Topic 3: Rates and ratios Topic 3: Rates and ratios Topic 3: Rates and ratios © 3P Learning 44 The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Substrand Activities eBooks Outcome Outcome Description Year 9 Decimals Topic 3: Rates and ratios Rates Rates.3 complete calculations with rates, including solving Rates Word Problems problems involving direct proportion in terms of rate Topic 4: Time and Motion Time Time.1 represent time using 12hour and 24-hour clocks 24 Hour Time Year 7 Time Calculations Topic 4: Time and Motion Time Time.2 calculate time intervals, such as time between, time ahead, time behind Time Differences Elapsed Time What Time Will it Be? Year 7 Time Calculations Topic 4: Time and Motion Time Time.3 interpret complex timetables Using Timetables Year 7 Time Calculations Topic 4: Time and Motion Distance Distance.1 Scale Under review Topic 4: Time and Motion Speed Speed.1 Distance Travelled Time Taken Under review Topic 4: Time and Motion Speed Speed.2 Under review Under review Compare Length Measuring Length Year 7 Converting Units Perimeter: Triangles 1 Perimeter: Triangles 2 Perimeter: Composite Shapes Year 7 Area and Perimeter Year 9 Perimeter and Area Area of Shapes Area: Quadrilaterals Area: Parallelograms Area: Compound Figures Area: Sectors Area: Annulus Area: Circles 1 Year 7 Area and Perimeter Year 9 Perimeter and Area Topic 1: Measurement Topic 1: Measurement Topic 1: Measurement 45 Linear Measure Linear Measure Linear Measure.4 Linear Measure.5 Area measure Area.4 © 3P Learning use scales to find distances, such as on maps calculate speed, distance or time using the formula speed = distance/time interpret distance-versustime graphs review metric units of length, their abbreviations, conversions between them, estimation of lengths, and appropriate choices of units calculate perimeters of familiar shapes, including triangles, squares, rectangles, polygons, circles, arc lengths, and composites of these. use formulas to calculate areas of regular shapes, including triangles, squares, rectangles, parallelograms, trapeziums, circles and sectors The Australian Curriculum Aligned. 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Essential Mathematics Strand Substrand Outcome Outcome Description Activities eBooks Topic 1: Area measure Area.5 Measurement Area of Shapes Area: Quadrilaterals Area: Parallelograms Area: Compound Conversion of area units Figures Area: Sectors Area: Annulus Area: Circles 1 Year 7 Area and Perimeter Year 9 Perimeter and Area Topic 1: Area measure Area.6 Measurement find the area of irregular figures by decomposition Area: Compound Figures Year 7 Area and Perimeter Year 9 Perimeter and Area Topic 1: Area measure Area.7 Measurement surface area of familiar solids, including cubes, rectangular and triangular prisms, spheres and cylinders Surface Area: Rectangular Prisms Surface Area: Cylinders Year 9 Measuring Solids Topic 1: Area measure Area.8 Measurement surface area of pyramids, such as rectangular- and triangular-based pyramids Topic 1: Mass Measurement Mass.1 review metric units of mass (and weight), their abbreviations, conversions between them, and appropriate choices of units Topic 1: Mass Measurement Mass.2 convert between grams and milligrams Topic 1: Volume and Measurement capacity Volume.4 Topic 1: Volume and Measurement capacity Volume.5 review metric units of volume, their abbreviations, conversions between them, and appropriate choices of units recognise relations between volume and capacity, recognising that 1cm3=1mL and 1m3=1kL Surface Area: Rectangular Pyramids Surface Area: Square Pyramids Surface Area: Spheres Surface Area: Rearrange Formula Mass Word Problems Converting Units of Mass Kilogram Conversions Grams and Kilograms Grams and Milligrams Mass Word Problems Converting Units of Mass Kilogram Conversions Grams and Kilograms Grams and Milligrams Year 9 Measuring Solids Year 7 Converting Units Year 7 Converting Units Volume: Prisms Year 9 Measuring Solids Volume: Prisms Year 9 Measuring Solids © 3P Learning 46 The Australian Curriculum Aligned. 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Essential Mathematics Strand Substrand Outcome Outcome Description Activities Volume: Prisms Year 9 Measuring Solids eBooks Topic 1: Measurement Volume and capacity Volume.6 volume and capacity of regular objects such as cubes, rectangular and triangular prisms and cylinders Topic 1: Measurement Volume and capacity Volume.7 find the volume of pyramids and spheres Volume: Prisms Year 9 Measuring Solids Geometry.1 recognise the properties of common twodimensional geometric shapes and threedimensional solids Plane Figure Theorems Nets Year 9 Polygons and Angles Topic 2: Scales, plans and models Geometry Nets Relate Shapes and Solids Right and Oblique Objects Properties of Solids Pythagoras' Theorem Hypotenuse of a Right Triangle Pythagorean Triads Topic 2: Scales, plans and models Geometry Geometry.2 different forms of two-dimensional representations of threedimensional objects, including nets and perspective diagrams Topic 2: Scales, plans and models Right-angled triangles Trigonometry.1 apply Pythagoras’ theorem to solve problems Topic 2: Scales, plans and models Right-angled triangles apply the tangent ratio Tan A to find unknown angles Trigonometry.2 Find Unknown Sides and sides in right-angled Find Unknown Angles triangles Topic 2: Scales, plans and models Right-angled triangles Trigonometry.3 angle of elevation and angle of depression Topic 2: Scales, plans and models Right-angled triangles Trigonometry.4 cosine and sine ratios Sin A to find unknown angles and sides in right-angled Cos A triangles Grade 9 Trigonometry Topic 2: Scales, plans and models Right-angled triangles Trigonometry.5 solve problems involving bearings Bearings Grade 9 Trigonometry Topic 3: Graphs Cartesian plane Graphs.1 plotting points on the Cartesian plane Ordered Pairs Year 7 Coordinate Graphs: 1st The Number Plane Quadrant 47 © 3P Learning Elevation and Depression Year 9 Measuring Solids Year 8 Pythagoras’ Theorem Grade 9 Trigonometry Grade 9 Trigonometry The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Topic 3: Graphs Topic 3: Graphs Substrand Cartesian plane Cartesian plane Outcome Graphs.2 Graphs.3 Topic 3: Graphs Using graphs Graphs.4 Topic 4: Data collection Bivariate scatterplots Data.3 Topic 4: Data collection Bivariate scatterplots Data.4 Outcome Description Activities Table of Values Function Rules and Tables Find the Function generate tables of values for Rule linear functions, including for Graphing from a negative values of x Table of Values Graphing from a Table of Values 2 Reading Values from a Line y=ax Which Straight Line? Equation of a Line 1 Equation of a Line 2 graph linear functions for all Equation of a Line 3 Determining a Rule values of x for a Line Intercepts Gradient Horizontal and Vertical Lines interpret the point of intersection and other important features of given graphs of two linear Simultaneous Linear functions drawn from Equations practical contexts; for example, the ‘break-even’ point describe the patterns and Scatter Plots features of bivariate data describe the association between two numerical variables in terms of direction (positive/negative), Correlation form (linear/non-linear) and strength (strong/moderate/ weak) eBooks Year 7 The Number Plane Year 8 Linear Relationships Year 9 Linear Relationships Year 7 The Number Plane Year 8 Linear Relationships Year 9 Linear Relationships Year 9 Equations and Inequalities Under review Under review © 3P Learning 48 The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Substrand Topic 1: Probability and relative frequencies Describing and interpreting patterns in Probability.1 time series data interpret commonly used probability statements, including ‘possible’, ‘probable’, ‘likely’, ‘certain Probability Scale Topic 1: Probability and relative frequencies Describing and interpreting patterns in Probability.2 time series data describe ways of expressing probabilities formally using fractions, decimals, ratios, and percentages What are the Chances? Simple Probability Find the Probability Topic 1: Probability and relative frequencies Simulations perform simulations of experiments using technology Dice and Coins Probability.4 construct a sample space for an experiment Probability Tables Possible Outcomes Probability Without Replacement Probability With Replacement Tree Diagrams Topic 1: Probability and relative frequencies Simple probabilities Outcome Probability.3 Outcome Description Activities Strand Topic 1: Probability and relative frequencies Simple probabilities Probability.5 use arrays or tree diagrams to determine the outcomes and the probabilities for experiments Topic 1: Probability and relative frequencies Probability applications Probability.6 probabilities associated Dice and Coins with simple games Topic 2: Earth geometry and Location time zones Topic 2: Earth geometry and Time time zones Topic 2: Earth geometry and Time time zones 49 © 3P Learning eBooks Year 7 Chance Year 8 Probability Year 9 Probability Year 7 Chance Year 8 Probability Year 9 Probability Year 7 Chance Year 8 Probability Year 9 Probability Year 7 Chance Year 8 Probability Year 9 Probability Year 7 Chance Year 8 Probability Year 9 Probability Year 7 Chance Year 8 Probability Year 9 Probability find distances between two places on Earth on Great Circle Distances Under review the same longitude understand the link Latitude and Under review Earth Geometry.2 between longitude and Longitude time Earth Geometry.1 Earth Geometry.3 time zones Australian Time Zones Under review Time Zones The Australian Curriculum Aligned. Prepared. Ready. Essential Mathematics Strand Topic 3: Loans and compound interest Topic 3: Loans and compound interest Topic 3: Loans and compound interest Activities eBooks Substrand Outcome Outcome Description Compound interest Finance.1 simple interest Simple Interest Year 10 Interest Compound interest Finance.2 compound interest as a recurrence relation Compound Interest Compound Interest by Formula Year 10 Interest Finance.3 investigate the effect of the interest rate and Comparing Loans repayment amount on the time taken to repay a loan Reducing balance loans Year 10 Interest © 3P Learning 50 The Australian Curriculum Aligned. Prepared. Ready. General Mathematics Strand Topic 1: Consumer Arithmetic Substrand Applications of rates and percentages Outcome Percentage.1 Outcome Description review rates and percentages calculate weekly or monthly wage from an annual salary, wages from an hourly rate including situations involving overtime and other allowances and earnings based on commission or piecework calculate payments based on government allowances and pensions prepare a personal budget for a given income taking into account fixed and discretionary spending compare prices and values using the unit cost method Topic 1: Consumer Arithmetic Applications of rates and percentages Percentage.2 Topic 1: Consumer Arithmetic Applications of rates and percentages Percentage.3 Topic 1: Consumer Arithmetic Applications of rates and percentages Percentage.4 Topic 1: Consumer Arithmetic Applications of rates and percentages Percentage.5 Topic 1: Consumer Arithmetic Applications of rates and percentages apply percentage Percentage.6 increase or decrease in various contexts Topic 1: Consumer Arithmetic Applications of rates and percentages Percentage.7 51 © 3P Learning currency exchange rates Activities eBooks Rates Word Problems Rates Converting Rates Rates Calculations Profit and Loss Calculating Percentages Percentage of a Quantity Calculating Percentages Percentage Increase and Decrease Percentage Increase and Decrease Percentage Composition Percentage Word Problems Solve Percent Equations Year 7 Percentage Basics Year 8 Calculating Percentages Wages and Salaries Commission Working Overtime Year 9 Earning Money Wages and Salaries Commission Working Overtime Year 9 Earning Money Budgeting Year 9 Earning Money Best Buy Year 9 Earning Money Percentage Increase and Decrease Year 7 Percentage Basics Year 8 Calculating Percentages Percentage Increase and Decrease Under review The Australian Curriculum Aligned. 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General Mathematics Strand Topic 2: Algebra and Matrices Substrand Linear and non-linear expressions Outcome Outcome Description Activities Simple Substitution 1 Simple Substitution 2 Simple Substitution 3 Complex Substitution More Substitution in Formulae Real Formulae Substitution with Fractions Expressions.1 substitute numerical values into linear algebraic and simple non-linear algebraic expressions find the value of the Rearranging the subject of the formula, Equation given the values of the other pronumerals in the Changing the Subject formula Topic 2: Algebra and Matrices Linear and non-linear expressions Expressions.2 Topic 2: Algebra and Matrices Matrices and matrix arithmetic Matrices.1 Topic 2: Algebra and Matrices Matrices and matrix arithmetic Matrices.2 Topic 2: Algebra and Matrices Matrices and matrix arithmetic Matrices.3 Topic 3: Pythagoras’ Shape and Theorem Measurement Topic 3: Pythagoras’ Shape and Theorem Measurement different types of matrices (row, column, square, zero, identity) matrix addition, subtraction, multiplication by a scalar, and matrix multiplication eBooks Year 7 Algebra Basics Year 8 Simplifying Algebra Year 9 Simplifying Algebra Year 8 Equations Inequalities Year 9 Equations and Inequalities Under review Under review Under review Under review model and solve problems Under review Under review Pythagoras.1 Pythagoras’ Theorem and use it to solve practical problems in two dimensions Pythagoras' Theorem Hypotenuse of a Right Triangle Year 8 Pythagoras’ Theorem Pythagoras.2 simple applications in three dimensions Under review Under review © 3P Learning 52 The Australian Curriculum Aligned. Prepared. Ready. General Mathematics Strand Substrand Outcome Outcome Description perimeters and areas of circles, sectors of circles, triangles, rectangles, parallelograms and composites Topic 3: Shape and Measurement Mensuration Mensuration.1 Topic 3: Shape and Measurement Mensuration calculate the volumes Mensuration.2 of standard threedimensional objects Topic 3: Shape and Measurement Topic 3: Shape and Measurement Similar figures and scale Similarity.1 factors Similar figures and scale Similarity.2 factors 53 © 3P Learning similarity of twodimensional figures Activities Perimeter: Squares and Rectangles Perimeter: Triangles Perimeter: Composite Shapes Circumference: Circles Perimeter and Circles Arc Length Area: Squares and Rectangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Parallelograms Area: Composite Shapes Area: Circles 1 Area: Sectors Area: Annulus Area: Ellipse Volume: Rectangular Prisms 1 Volume: Rectangular Prisms 2 Volume: Triangular Prisms Volume: Cylinders Volume: Pyramids Volume: Cones Volume: Spheres Volume: Rearrange Formula Similar Figures Similarity Proofs scale factor for two Using Similar Triangles similar figures to solve linear scaling problems Scale Factor eBooks Year 8 Area and Perimeter Year 9 Perimeter and Area Year 9 Measuring Solids Year 9 Similarity and Congruence Year 9 Similarity and Congruence The Australian Curriculum Aligned. 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General Mathematics Strand Substrand Topic 3: Similar figures Shape and and scale Measurement factors Topic 1: Univariate data analysis and statistical investigation Making sense of data relating to a single statistical variable Outcome Similarity.3 Data.1 Topic 1: Univariate data analysis and statistical investigation Making sense of data relating to a single statistical variable Topic 1: Univariate data analysis and statistical investigation Making sense of data relating to a single statistical variable Topic 1: Univariate data analysis and statistical investigation Topic 1: Univariate data analysis and statistical investigation Comparing data for a numerical variable across Data.4 two or more groups Comparing data for a numerical Data.5 variable across two or more groups Data.2 Data.3 Outcome Description calculation of surface areas classify a numerical variable as discrete dot plot, stem plot, bar chart or histogram mean and standard deviation Activities Surface Area: Formula Surface Area: Prisms Surface Area: Surface Area: Pyramids Surface Area: Pyramids Surface Area: Surface Area: Formula eBooks Rearrange Rectangular Cylinders Square Year 9 Measuring Solids Rectangular Spheres Rearrange Under review Under review Dot Plots Stem and Leaf Introduction Stem-and-Leaf Plots Double Stem and Leaf Plots Median from Stem and Leaf Plot Mode from Stem and Leaf Plot Histogram or Polygon? Frequency Histograms Cumulative Frequency Histogram Mean Median Mode Mean from Frequency Table Mode from Frequency Table Median from Frequency Median and Cumulative Frequency parallel box plots Box-and-Whisker Plots 1 Box-and-Whisker Plots 2 IQR and range Calculating Interquartile Range Year 9 Data Year 10 Interpreting Data Year 9 Data Year 10 Interpreting Data Year 9 Data Year 10 Interpreting Data Year 9 Data Year 10 Interpreting Data © 3P Learning 54 The Australian Curriculum Aligned. Prepared. Ready. General Mathematics Strand Topic 1: Univariate data analysis and statistical investigation Topic 1: Univariate data analysis and statistical investigation Topic 1: Univariate data analysis and statistical investigation Substrand Outcome Comparing data for a numerical Data.6 variable across two or more groups Comparing data for a numerical Data.7 variable across two or more groups Comparing data for a numerical Data.8 variable across two or more groups Topic 2: Applications of trigonometry Applications of Trigonometry.1 trigonometry Topic 2: Applications of trigonometry Applications of Trigonometry.2 trigonometry Topic 2: Applications of trigonometry Applications of Trigonometry.3 trigonometry Topic 2: Applications of trigonometry Applications of Trigonometry.4 trigonometry Topic 3: Linear equations and their graphs Linear equations: 55 © 3P Learning Equations.1 Outcome Description median range standard deviation Activities eBooks Calculating Interquartile Range Year 9 Data Year 10 Interpreting Data Data Extremes and Range Year 9 Data Year 10 Interpreting Data Data Extremes and Range Year 9 Data Year 10 Interpreting Data Sin A Cos A Tan A Year 9 Trigonometry Find Unknown Angles Find Unknown Sides Elevation and Depression Year 10 Area Rule 1 Non Right Area rule Area Rule 2 Angled Area Problems Triangles Year 10 Sine Rule 1 Non Right sine rule Angled Sine Rule 2 Triangles Year 10 Cosine Rule 1 Non Right cosine rule Angled Cosine Rule 2 Triangles Solve Equations: Add, Subtract 1 Solve Equations: Multiply, Divide 1 Solving Simple Equations Year 8 Solve Two-Step Equations Equations Inequalities identify and solve linear Solving More Equations equations Year 9 Solve Multi-Step Equations Equations and Equations with Decimals Inequalities Equations: Variables, Both Sides Equations with Fractions Equations with Fractions 2 trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle The Australian Curriculum Aligned. 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General Mathematics Strand Substrand Outcome Outcome Description Topic 3: Linear equations and their graphs Linear equations: Equations.2 develop a linear formula from a word description Topic 3: Linear equations and their graphs Straightline graphs and their applications Line Graphs.1 construct straight-line graphs Topic 3: Linear equations and their graphs Straightline graphs and their applications Line Graphs.2 determine the slope and intercepts of a straight-line graph Topic 3: Linear equations and their graphs Simultaneous linear equations and their applications: Simultaneous.1 solve a pair of simultaneous linear equations Topic 3: Linear equations and their graphs Topic 3: Linear equations and their graphs Simultaneous linear equations and their applications: solve practical problems that involve Simultaneous.2 finding the point of intersection of two straight-line graphs Piece-wise linear graphs and step graphs Line Graphs.3 Identifying and describing Topic 1: associations Bivariate.1 Bivariate data between two analysis categorical variables Activities eBooks Year 8 Equations Write an Equation: Word Inequalities Problems Year 9 Writing Equations Equations and Inequalities Year 8 Graphing from a Table of Linear Values Relationships Reading Values from a Line Year 9 y=ax Linear Relationships Determining a Rule for a Coordinate Line Geometry Slope of a Line Year 10 Which Straight Line? Straight Lines Year 8 Linear Are they Parallel? Relationships Are they Perpendicular? Year 9 Equation of a Line 1 Linear Equation of a Line 2 Relationships Equation of a Line 3 Coordinate General Form of a Line Geometry Equation from Two Points Year 10 Straight Lines Simultaneous Linear Equations Year 9 Breakeven Point Equations and Inequalitties Simultaneous Equations 1 Simultaneous Equations 2 Breakeven Point Year 9 Equations and Inequalitties sketch piece-wise linear graphs and step graphs Under review Under review construct two-way frequency tables Cumulative Frequency Table Year 9 Data © 3P Learning 56 The Australian Curriculum Aligned. Prepared. Ready. General Mathematics Strand Substrand Outcome Outcome Description Activities eBooks Identifying and describing Topic 1: Bivariate associations Bivariate.2 data analysis between two numerical variables scatterplot Identifying and describing Topic 1: Bivariate associations Bivariate.3 data analysis between two numerical variables describe an association between two numerical variables in terms of direction (positive/ Correlation negative), form (linear/ non-linear) and strength (strong/ moderate/weak) Under review Bivariate.4 correlation coefficient (r) Correlation Under review Bivariate.5 least-squares line Under review Under review Bivariate.6 interpret the intercept and slope of the fitted line Under review Under review Under review Under review Topic 1: Bivariate data analysis Topic 1: Bivariate data analysis Topic 1: Bivariate data analysis Topic 1: Bivariate data analysis Topic 2: Growth and decay in sequences Topic 2: Growth and decay in sequences Identifying and describing associations between two numerical variables Fitting a linear model to numerical data Fitting a linear model to numerical data Fitting a linear model to numerical data Bivariate.7 The arithmetic Sequence.1 sequence The arithmetic Sequence.2 sequence Topic 2: Growth and decay in sequences The geometric Sequence.3 sequence Topic 2: Growth and decay in sequences The geometric Sequence.4 sequence Topic 3: Graphs Planar graphs Networks.1 and networks 57 © 3P Learning coefficient of determination to assess the strength of a linear association use recursion to generate an arithmetic sequence deduce a rule for the nth term of a particular arithmetic sequence Scatter Plots Terms: Arithmetic Progressions Under review Terms: Geometric recursion to generate a Progressions 1 geometric sequence Terms: Geometric Progressions 2 Terms: Geometric deduce a rule for the Progressions 1 nth term of a particular Terms: Geometric geometric sequence Progressions 2 Euler’s formula, v + f Euler's Formula e=2 Under review Year 11 Sequence and Series: Arithmetic Year 11 Sequence and Series: Arithmetic Year 11 Sequence and Series: Arithmetic Year 11 Sequence and Series: Arithmetic Under review The Australian Curriculum Aligned. 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General Mathematics Strand Substrand Outcome Topic 3: Graphs and networks Paths and cycles Networks.2 Topic 3: Graphs and networks Paths and cycles Networks.3 Topic 3: Graphs and networks Paths and cycles Networks.4 Describing and interpreting patterns in Time series.1 time series data Describing and Topic 1: interpreting Time series patterns in Time series.2 analysis time series data Topic 2: Compound Loans, interest Finance.1 investments loans and and annuities investments Topic 1: Time series analysis Topic 2: Loans, investments and annuities Topic 2: Loans, investments and annuities Topic 2: Loans, investments and annuities Outcome Description walk, trail, path, closed walk, closed trail, cycle, connected graph, and bridge Eulerian graph, Eulerian trail, semi-Eulerian graph, semi-Eulerian trail and the conditions for their existence Activities eBooks Under review Under review Under review Under review Under review Under review construct time series plots Under review Under review time series plots Under review Hamiltonian graph and semi-Hamiltonian graph Under review use a recurrence relation Compound Interest to model a compound Compound Interest interest loan or investment by Formula Year 10 Interest Compound interest loans and investments Finance.2 calculate the effective annual rate of interest and use the results to compare investment returns and Year 10 Effective Interest Rate cost of loans when interest Interest is paid or charged daily, monthly, quarterly or sixmonthly Reducing balance loans Finance.3 use a recurrence relation to model a reducing balance loan Comparing Loans Comparing Home Loans Under review Finance.4 use a recurrence relation to model an annuity Future Value of an Annuity Present Value of an Annuity Under review Annuities and perpetuities © 3P Learning 58 The Australian Curriculum Aligned. 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General Mathematics Strand Substrand Outcome Outcome Description Topic 3: Networks and decision mathematics Trees and minimum connector problems Networks.5 terms tree and spanning tree Topic 3: Networks and decision mathematics Trees and minimum connector problems Networks.6 Topic 3: Networks and decision mathematics Project planning and scheduling using critical path analysis Networks.7 Topic 3: Networks and decision mathematics Topic 3: Networks and decision mathematics Topic 3: Networks and decision mathematics Topic 3: Networks and decision mathematics Topic 3: Networks and decision mathematics Topic 3: Networks and decision mathematics 59 Project planning and scheduling using critical path analysis Project planning and scheduling using critical path analysis Project planning and scheduling using critical path analysis Activities Under review identify a minimum spanning tree in a weighted connected graph either Under review by inspection or by using Prim’s algorithm construct a network to represent the durations and interdependencies Under review of activities that must be completed during the project eBooks Under review Under review Under review Networks.8 starting time (EST) and latest starting times (LST) Under review Under review Networks.9 use the critical path to determine the minimum time for a project to be completed Under review Under review Networks.10 calculate float times for non-critical activities Under review Under review Flow networks Networks.11 solve small-scale network flow problems Under review Under review Assignment problems Networks.12 use a bipartite graph and/ or its tabular or matrix Under review Under review Assignment problems Networks.13 Hungarian algorithm Under review Under review © 3P Learning The Australian Curriculum Aligned. 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Mathematics Methods Strand Substrand Outcome Topic 1: Functions and Graphs Lines and Linear Relationships Linear.1 Topic 1: Functions and Graphs Lines and Linear Relationships Linear.2 Topic 1: Functions and Graphs Lines and Linear Relationships Linear.3 Topic 1: Functions and Graphs Lines and Linear Relationships Linear.4 Topic 1: Functions and Graphs Lines and Linear Relationships Linear.5 Outcome Description Activities eBooks Midpoint by Formula Year 9 Distance Between Two Points Coordinate Coordinate Methods in Geometry Geometry Year 8 Linear Relationships Year 9 direct proportion and Linear y=ax linearly related variables Relationships Coordinate Geometry Year 10 Straight Lines Year 8 Linear Relationships recognise features of Intercepts Year 9 the graph of y = mx + Gradient Linear c, including its linear Relationships Gradients for Real nature, its intercepts and Coordinate Gradient and Tan its slope or gradient Geometry Year 10 Straight Lines Year 8 Linear Gradient and Tan Relationships Equation of a Line 1 Year 9 Equation of a Line 2 find the equation of a Linear Equation of a Line 3 straight line Relationships Equation from Point and Coordinate Gradient Geometry Equation from Two Points Year 10 Straight Lines Year 8 Linear Relationships Year 9 Are they Parallel? Linear parallel and Relationships perpendicular lines Are they Perpendicular? Coordinate Geometry Year 10 Straight Lines determine the coordinates of the midpoint of two points © 3P Learning 60 The Australian Curriculum Aligned. Prepared. Ready. Mathematics Methods Strand Substrand Outcome Outcome Description Topic 1: Functions and Graphs Lines and Linear Relationships Linear.6 solve linear equations Topic 1: Functions and Graphs Review of quadratic relationships Quadratic.1 examples of quadratically related variables Topic 1: Functions and Graphs Review of quadratic relationships Topic 1: Functions and Graphs Review of quadratic relationships Topic 1: Functions and Graphs Review of quadratic relationships Topic 1: Functions and Graphs Review of quadratic relationships Topic 1: Functions and Graphs Review of quadratic relationships Topic 1: Functions and Graphs Review of quadratic relationships 61 © 3P Learning Quadratic.2 quadratic graphs Quadratic.3 solve quadratic equations using the quadratic formula and by completing the square Activities Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations: Variables, Both Sides Equations with Fractions 2 Absolute Value Equations Simultaneous Equations 1 Simultaneous Equations 2 Solve Systems by Graphing Simultaneous Linear Equations Factorising Quadratics 1 Factorising Quadratics 2 Quadratic Equations 1 Quadratic Equations 2 Equations Reducible ton Quadratics eBooks Year 8 Equations Inequalities Year 9 Equations and Inequalities Year 10 Quadratic Equations Vertex of a Parabola Graphing Parabolas Year 10 Quadratic Equations Parabolas Completing the Square Completing the Square 2 Quadratic Formula Year 10 Quadratic Equations Parabolas Year 10 Quadratic Quadratic.4 Under review Equations Parabolas Year 10 Graphing Parabolas find turning points and Quadratic Quadratic.5 Parabolas and Marbles zeros of quadratics Equations Parabolas and Rectangles Parabolas Year 10 Roots of the Quadratic Quadratic Quadratic.6 discriminant Equations The Discriminant Parabolas Year 10 recognise features Roots of the Quadratic Quadratic Quadratic.7 of the graph of the Equations The Discriminant general quadratic Parabolas find the equation of a quadratic The Australian Curriculum Aligned. 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Mathematics Methods Activities eBooks Strand Substrand Outcome Outcome Description Topic 1: Functions and Graphs Inverse proportion Hyperbola.1 examine examples of inverse proportion Hyperbola.2 recognise features of Graphing Hyperbolas the graphs including their hyperbolic shapes, Non Linear Graphs and their asymptotes Year 10 Simple Nonlinear Graphs Exponential and Power Graphs Under review Year 10 Exponential and Power Graphs Under review Under review Under review Topic 1: Functions and Graphs Inverse proportion Topic 1: Functions and Graphs Powers and polynomials Polynomials.1 recognise features of the graphs of y = x^n where n is natural numbers, -1 and 1/2 Powers and polynomials Polynomials.2 behavior at infinity Powers and polynomials Polynomials.3 coefficients and the Under review degree of a polynomial Topic 1: Functions and Graphs Topic 1: Functions and Graphs Expand then Simplify expand quadratic and Special Binomial cubic polynomials from Products factors Simplifying Binomial Expressions Expand then Simplify Special Binomial Cubic Graphs Products Simplifying Binomial Expressions Under review Year 10 Polynomials Topic 1: Functions and Graphs Powers and polynomials Polynomials.4 Topic 1: Functions and Graphs Powers and polynomials Polynomials.5 and Powers and polynomials Polynomials.6 factorise cubic polynomials Sum and Difference of Cubes Under review and Powers and polynomials Polynomials.7 solve cubic equations Under review Year 10 Factorising Polynomials and Graphs of relations Graphing.1 Graphs of cirles at (0, 0) and (a, b) Graphing Circles Centre and Radius 1 Centre and Radius 2 Year 10 Graphing Circles and Graphs of relations Graphing.2 graphs of y^2 = x Inverse functions Year 10 Functions function notation Function Notation 1 Function Notation 2 Year 10 Function Notation 3 Functions Odd and Even Functions Piecemeal Functions Topic 1: Functions Graphs Topic 1: Functions Graphs Topic 1: Functions Graphs Topic 1: Functions Graphs Topic 1: Functions and Graphs Functions Graphing.3 Year 9 Simplifying Algebra Year 9 Simplifying Algebra © 3P Learning 62 The Australian Curriculum Aligned. 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Mathematics Methods Strand Topic 1: Functions and Graphs Topic 1: Functions and Graphs Topic 1: Functions and Graphs Topic 1: Functions and Graphs Topic 1: Functions and Graphs eBooks Outcome Outcome Description Functions Graphing.4 domain and range Domain Year 10 Functions Functions Graphing.5 understand the concept of Domain the graph of a function Year 10 Functions Functions Graphing.6 vertical and horizontal translations Under review Year 10 Functions Functions Graphing.7 dilations Under review Year 10 Functions Graphing.8 recognise the distinction between functions and relations, and the vertical line test Under review Year 10 Functions Trigonometry.1 understand the unit circle definition of sin, cos and tan and periodicity using degrees Sin A Cos A Tan A Sine and Cosine Curves Period and Amplitude Unit Circle Reductions Year 9 Trigonometry Trigonometric Relationships Functions Topic 2: Cosine and Trigonometric sine rules functions Topic 2: Cosine and Trigonometric sine rules functions Trigonometry.2 examine the relationship between the angle of inclination of a line and the gradient of that line Topic 2: Cosine and Trigonometric sine rules functions Trigonometry.3 sine rule Topic 2: Cosine and Trigonometric sine rules functions Trigonometry.4 cosine rule Topic 2: Cosine and Trigonometric sine rules functions Trigonometry.5 area rule 63 Activities Substrand © 3P Learning Year 9 Trigonometry Gradient and Tan Linear Slope of a Line Relationships Find Unknown Angles Coordinate Find Unknown Sides Geometry Elevation and Depression Year 10 Straight Lines Year 10 Sine Rule 1 Non Right Sine Rule 2 Angled Triangles Year 10 Cosine Rule 1 Non Right Cosine Rule 2 Angled Triangles Year 10 Area Rule 1 Non Right Area Rule 2 Angled Area Problems Triangles The Australian Curriculum Aligned. 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Mathematics Methods Outcome Outcome Description Activities Circular measure and radian measure Trigonometry.6 define and use radian measure and understand its relationship with degree measure Converting Radians and Degrees Length of an Arc Area of a Sector Under review Circular measure and radian measure Trigonometry.7 calculate lengths of arcs and areas of sectors in circles Length of an Arc Area of a Sector Under review Strand Substrand Topic 2: Trigonometric functions Topic 2: Trigonometric functions eBooks Year 9 Trigonometry Exact values in degrees Exact Trigonometric Year 10 and radians Ratios Trigonometric Relationships Sine and Cosine Year 9 Curves Trigonometry y = sin, cos, tan graphs Trig Graphs in Radians Year 10 Trigonometric Trigonometric Relationships Intercepts Year 9 Trigonometry examine amplitude Period and Amplitude Year 10 changes Trigonometric Relationships Topic 2: Trigonometric functions Trigonometric functions Trigonometry.8 Topic 2: Trigonometric functions Trigonometric functions Trigonometry.9 Topic 2: Trigonometric functions Trigonometric functions Trigonometry.10 Trigonometric functions Trigonometry.11 examine period changes Under review Under review Trigonometric functions Trigonometry.12 examine phase changes Under review Under review Trigonometric functions Trigonometry.13 prove and apply the angle sum and difference identities Under review Under review Trigonometry.14 solve equations involving trigonometric functions Trig Trig Trig Trig combination Counting Techniques 1 Under review Counting Techniques 2 Topic 2: Trigonometric functions Topic 2: Trigonometric functions Topic 2: Trigonometric functions Topic 2: Trigonometric functions Topic 3: Counting and probability Topic 3: Counting and probability Topic 3: Counting and probability Trigonometric functions Combinations Combinations.1 Combinations Combinations.2 binomial theorem Combinations Combinations.3 use Pascal’s triangle and its properties Equations Equations Equations Equations Under review Under review 1 2 3 4 Year 9 Trigonometry Year 10 Trigonometric Relationships Year 12 The Binomial Theorem Year 12 Binomials and Pascal’s Triangle © 3P Learning 64 The Australian Curriculum Aligned. 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Mathematics Methods Strand Substrand Topic 3: Counting and probability Topic 3: Counting and probability Language of events and sets Language of events and sets Topic 3: Review of the Counting and fundamentals probability of probability Topic 3: Counting and probability Topic 3: Counting and probability Topic 3: Counting and probability Review of the fundamentals of probability Review of the fundamentals of probability Review of the fundamentals of probability Topic 3: Review of the Counting and fundamentals probability of probability Topic 3: Counting and probability Topic 3: Counting and probability Topic 3: Counting and probability Topic 1: Exponential functions 65 eBooks Outcome Description Probability.1 outcomes, sample spaces and events as sets of outcomes Possible Outcomes Dice and Coins Year 9 Probability Probability.2 set language and notation Venn Diagrams Year 9 Probability Probability.3 Probability Scale Simple Probability Complementary Events probability as a measure Probability With of ‘the likelihood of Replacement occurrence’ of an event Probability Without Replacement Probability Tables Two-way Table Probability Year 9 Probability Probability.4 probability scale Probability Scale Year 9 Probability Probability.5 complimentary probability Under review Year 9 Probability Probability.6 And and or in probability Under review Year 9 Probability Probability.7 relative frequencies obtained from data as point estimates of probabilities Relative Frequency Year 9 Probability Data conditional probability Under review Under review notation Under review Under review understand the notion of independence of an event P(A|B)=P(A) Under review Under review indices (including fractional indices) and the index laws Index Notation Index Form to Numbers Index Laws with Brackets Surd Form to Index Form Integer Exponents The Zero Index Fractional Indices Simplifying with Index Laws 1 Properties of Exponents Year 9 Indices Conditional probability and Probability.8 independence Conditional probability and Probability.9 independence Conditional probability and Probability.10 independence Indices and Exponential.1 the index laws © 3P Learning Activities Outcome The Australian Curriculum Aligned. 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Mathematics Methods Strand Topic 1: Exponential functions Topic 1: Exponential functions Substrand Outcome Outcome Description Activities eBooks Indices and Exponential.2 the index laws radicals and convert to and from fractional indices Year 9 Indices Surd Form to Index Form Year 10 Surds and Indices Indices and Exponential.3 the index laws scientific notation and significant figures Scientific Notation 1 Scientific Notation 2 Year 9 Indices Year 10 Simple Nonlinear Graphs Exponential and Power Graphs Year 10 Simple Nonlinear Graphs Exponential and Power Graphs Topic 1: Exponential functions Exponential functions Exponential.4 algebraic properties of exponential functions Under review Topic 1: Exponential functions Exponential functions Exponential.5 graph exponential functions Graphing Exponentials Exponential functions Exponential.6 solve equations involving exponential functions Exponential Equations Sequences.1 recognise and use the Terms: Arithmetic recursive definition of Progressions an arithmetic sequence Year 11 Sequence and Series: Arithmetic Year 11 Sequence and Series: Arithmetic Topic 1: Exponential functions Topic 2 Arithmetic and geometric sequences and series Topic 2 Arithmetic and geometric sequences and series Topic 2 Arithmetic and geometric sequences and series Topic 2 Arithmetic and geometric sequences and series Topic 2 Arithmetic and geometric sequences and series Arithmetic sequences Arithmetic sequences Arithmetic sequences Geometric sequences Geometric sequences Year 10 Logarithms Sequences.2 linear growth or decay Terms: Arithmetic Progressions Sequences.3 establish and use the formula for the sum of the first n terms of an arithmetic sequence Sum: Arithmetic Progressions Sigma Notation 1 Year 11 Sequence and Series: Arithmetic Sequences.4 Terms: Geometric recursive definition of a Progressions 1 geometric sequence Terms: Geometric Progressions 2 Year 11 Sequence and Series: Arithmetic n tends toward infinity Year 11 Sequence and Series: Arithmetic Sequences.5 Limiting Sum © 3P Learning 66 The Australian Curriculum Aligned. 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Mathematics Methods Strand Topic 2 Arithmetic and geometric sequences and series Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus 67 Substrand Activities eBooks Outcome Outcome Description Geometric sequences Sequences.6 Sum of a geometric sequence Sum: Geometric Progressions Sigma Notation 2 Year 11 Sequence and Series: Arithmetic Rates of change Differentiation.1 Average rate of change Rates of Change Year 11 Introduction to Differentiation The concept of Define derivative (first Differentiation.2 the derivative principles) Under review Year 11 Introduction to Differentiation The concept of instantaneous rate of Differentiation.3 the derivative change Under review Year 11 Introduction to Differentiation Under review Year 11 Introduction to Differentiation Under review Year 11 Introduction to Differentiation The concept of Differentiation.4 the derivative interpret the derivative as the slope or gradient of a tangent line of the graph of y = f(x) Computation of derivatives estimate numerically the Differentiation.5 value of a derivative, for simple power functions Computation of derivatives Differentiation.6 examine examples of variable rates of change of Under review non-linear functions Year 11 Introduction to Differentiation Properties of derivatives Differentiation.7 recognise and use linearity Differentiation 1 properties of the derivative Differentiation 2 Year 11 Introduction to Differentiation Properties of derivatives calculate derivatives of polynomials and other Differentiation.8 linear combinations of power functions Applications of Differentiation.9 derivatives Differentiation 1 Differentiation 2 Gradients of Tangents find instantaneous rates of Equations of Tangents change Equations of Normals Year 11 Introduction to Differentiation Year 11 Introduction to Differentiation find the slope of a tangent Applications of Differentiation.10 and the equation of the Under review derivatives tangent Year 11 Introduction to Differentiation construct and interpret Applications of position-time graphs, with Under review Differentiation.11 derivatives velocity as the slope of the tangent Under review © 3P Learning The Australian Curriculum Aligned. 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Mathematics Methods Strand Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 3: Introduction to differential calculus Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Activities eBooks Substrand Outcome Outcome Description Applications of derivatives Differentiation.12 sketch curves associated with simple polynomials Under review Under review Applications of derivatives Differentiation.13 find stationary points Stationary Points Under review Applications of derivatives Differentiation.14 local and global maxima and minima Stationary Points Under review Applications of derivatives Differentiation.15 examine behaviour of derivatives as x tends toward infinity Stationary Points Under review Applications of derivatives Differentiation.16 solve optimisation problems Stationary Points Under review Antiderivatives Integration.1 Indefinite Integral 1 calculate antiderivatives of polynomial Indefinite Integral 2 functions Indefinite Integral 3 Under review Antiderivatives Integration.2 apply to solving simple problems involving Under review motion in a straight line Under review Exponential functions Exponential.7 define e Under review Under review Exponential functions Exponential.8 derivative of the expontntial Derivative of the Exponential Under review Exponential.9 use exponential functions and their derivatives to solve practical problems Derivative of the Exponential Under review Exponential functions Trigonometric functions Differentiation.17 Trigonometric functions Differentiation.18 Differentiate: Trig Functions 1 derivative of sin and cos Differentiate: Trig Functions 2 Differentiate: Trig use trigonometric Functions 1 functions and their derivatives to solve Differentiate: Trig practical problems Functions 2 Under review Under review © 3P Learning 68 The Australian Curriculum Aligned. 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Mathematics Methods Strand Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications Topic 1: Further differentiation and applications 69 Activities eBooks Substrand Outcome Outcome Description Differentiation rules Differentiation.19 product and quotient rules Product Rule Quotient Rule Chain Rule Year 11 Introduction to Differentiation Differentiation rules Differentiation.20 Product Rule composition of functions Quotient Rule Chain Rule Year 11 Introduction to Differentiation Differentiation rules Differentiation.21 chain rule Chain Rule Year 11 Introduction to Differentiation Differentiation rules Differentiation.22 apply the product, quotient and chain rule Chain Rule to differentiate functions Year 11 Introduction to Differentiation Differentiation.23 understand the concept of the second derivative as the rate of change of the first derivative function Second Derivative Year 11 Introduction to Differentiation The second derivative and applications of differentiation Differentiation.24 recognise acceleration as the second derivative of position with respect to time Velocity 1 Velocity 2 Acceleration 1 Acceleration 2 Under review The second derivative and applications of differentiation Differentiation.25 concavity Concavity Under review The second derivative and applications of differentiation Differentiation.26 points of inflection Points of Inflexion Under review The second derivative and applications of differentiation Differentiation.27 second derivative test for finding local maxima Points of Inflexion and minima Under review Differentiation.28 sketch the graph of a function using first and second derivatives to locate stationary points and points of inflection Under review The second derivative and applications of differentiation The second derivative and applications of differentiation © 3P Learning Points of Inflexion The Australian Curriculum Aligned. 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Mathematics Methods Strand Substrand Topic 1: Further differentiation and applications The second derivative and solve optimisation Differentiation.29 applications of problems differentiation recognise antiAntiIntegration.3 differentiation as the differentiation reverse of differentiation Topic 2: Integrals Outcome Topic 2: Integrals Antidifferentiation Integration.4 Topic 2: Integrals Antidifferentiation Integration.5 Topic 2: Integrals Antidifferentiation Integration.6 Topic 2: Integrals Antidifferentiation Integration.7 Topic 2: Integrals Antidifferentiation Integration.8 Topic 2: Integrals Antidifferentiation Integration.9 Topic 2: Integrals Definite integrals Integration.10 Topic 2: Integrals Definite integrals Integration.11 Topic 2: Integrals Topic 2: Integrals Fundamental theorem Fundamental theorem Topic 2: Integrals Applications of integration Outcome Description Activities eBooks Points of Inflexion Under review Primitive Functions Under review Indefinite Integral 1 Indefinite Integral 2 Indefinite Integral 3 Indefinite Integral 1 Indefinite Integral 2 indefinite integrals Indefinite Integral 3 Integrate: Exponential (Indefinite) Integrate: Trig Functions 1 sin and cos Integrate: Trig Functions 2 Integrate: Trig identify families of curves Functions 1 with the same derivative Integrate: Trig function Functions 2 Integrate: Trig find f(x) from f'(x) and an Functions 1 initial condition f(a)=b Integrate: Trig Functions 2 determine displacement given velocity in linear Under review motion problems Definite Integral area under the curve Area by Integration 1 Area by Integration 2 Definite Integral Reimann sum Area by Integration 1 Area by Integration 2 notations Under review Under review Under review Under review Under review Under review Under review Under review Integration.12 signed area function Under review Under review Integration.13 calculate definite integrals Under review Under review Integration.14 calculate the area under a curve Area by Integration 1 Area by Integration 2 Area by Integration (y-axis) Under review © 3P Learning 70 The Australian Curriculum Aligned. 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Mathematics Methods Strand Substrand Topic 2: Integrals Activities eBooks Outcome Outcome Description Applications of integration Integration.15 calculate total change by integrating instantaneous or marginal rate of change Area by Integration 1 Area by Integration 2 Under review Area by Integration (y-axis) Topic 2: Integrals Applications of integration Integration.16 area between curves Area Between Curves Under review Topic 2: Integrals Applications of integration Topic 3: Discrete random variables General discrete random Random Variable.1 variables Topic 3: Discrete random variables Topic 3: Discrete random variables Topic 3: Discrete random variables Topic 3: Discrete random variables Topic 3: Discrete random variables Topic 3: Discrete random variables Topic 3: Discrete random variables 71 Integration.17 General discrete random Random Variable.2 variables General discrete random Random Variable.3 variables General discrete random Random Variable.4 variables determine positions given acceleration and Under review initial values of position and velocity understand the concepts of a discrete random variable and its Under review associated probability function, and their use in modelling data uniform discrete random Under review variables examine simple examples of nonUnder review uniform discrete random variables recognise the mean or expected value of a discrete random variable Under review as a measurement of centre, and evaluate it in simple cases Under review Under review Under review Under review Under review General discrete random Random Variable.5 variables variance and standard deviation Under review Under review General discrete random Random Variable.6 variables use discrete random variables and associated Under review probabilities to solve practical problems Under review Bernoulli distributions Random Variable.7 use a Bernoulli random variable as a model for two-outcome situations Under review Under review Random Variable.8 recognise the mean p and variance p(1−p) of Under review the Bernoulli distribution with parameter p Under review Bernoulli distributions © 3P Learning The Australian Curriculum Aligned. 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Mathematics Methods Strand Substrand Outcome Topic 3: Discrete Bernoulli random distributions variables Random Variable.9 Topic 3: Discrete Binomial random distributions variables Random Variable.10 Topic 3: Discrete Binomial random distributions variables Random Variable.11 Topic 1: The logarithmic function Topic 1: The logarithmic function Topic 1: The logarithmic function Topic 1: The logarithmic function Topic 1: The logarithmic function Topic 1: The logarithmic function Outcome Description Activities eBooks use Bernoulli random variables and associated probabilities to model Under review data and solve practical problems determine and use the probabilities associated with the binomial distribution with Under review parameters n and p ; note the mean np and variance np(1−p) of a binomial distribution binomial distributions and associated Under review probabilities to solve practical problems Under review Under review Under review Logarithmic functions Logarithms.1 define logarithms Log Laws Change of Base Year 10 Logarithms Logarithmic functions Logarithms.2 algebraic properties of logarithms Log Laws Year 10 Logarithms Logarithmic functions Logarithms.3 recognise the inverse relationship between logarithms and exponentials Equations with Logs Exponential Growth and Decay Year 10 Logarithms Logarithmic functions Logarithms.4 solve equations involving indices using logarithms Equations with Logs Year 10 Logarithms Logarithmic functions Logarithms.5 recognise the qualitative features of the graphs Logarithmic functions Logarithms.6 asymptotes, and of its translations Logarithms.7 solve simple equations involving logarithmic functions algebraically and graphically Equations with Logs Year 10 Logarithms Logarithms.8 define the natural logarithm Log Base 'e' Year 10 Logarithms Logarithms.9 derivative of ln(x) Under review Under review Topic 1: The logarithmic function Logarithmic functions Topic 1: The logarithmic function Topic 1: The logarithmic function Calculus of logarithmic functions Calculus of logarithmic functions Exponential or Log Graph? Graphing Exponentials Exponential or Log Graph? Graphing Exponentials Year 10 Logarithms Year 10 Logarithms © 3P Learning 72 The Australian Curriculum Aligned. Prepared. Ready. Mathematics Methods eBooks Substrand Outcome Topic 1: The logarithmic function Topic 2: Continuous random variables and the normal distribution Topic 2: Continuous random variables and the normal distribution Topic 2: Continuous random variables and the normal distribution Topic 2: Continuous random variables and the normal distribution Topic 2: Continuous random variables and the normal distribution Calculus of logarithmic functions Logarithms.10 General continuous random variables Random Variable.12 General continuous random variables Random Variable.13 probability density function Under review Under review General continuous random variables Random Variable.14 cumulative distribution function Under review Under review General continuous random variables Random Variable.15 probabilities associated with a continuous random Under review variable given by integrals Under review General continuous random variables Random Variable.16 Topic 2: Continuous Normal random variables and distributions the normal distribution Random Variable.17 Topic 2: Continuous random Normal variables and distributions the normal distribution Random Variable.18 73 © 3P Learning Outcome Description Activities Strand use logarithmic functions and their derivatives to Under review solve practical problems relative frequencies and histograms obtained from data to estimate Under review probabilities associated with a continuous random variable recognise the expected value, variance and standard deviation of Under review a continuous random variable and evaluate them in simple cases recognise features of the graph of the probability density function of the normal distribution with Under review mean µ and standard deviation and the use of the standard normal distribution calculate probabilities and quantiles associated with a given normal distribution Under review using technology, and use these to solve practical problems Under review Under review Under review Under review Under review The Australian Curriculum Aligned. Prepared. Ready. Mathematics Methods Strand Topic 3: Interval estimates for proportions Substrand Random sampling Outcome Outcome Description Random Variable.19 use graphical displays of simulated data to investigate the variability of random samples from various types of distributions, including uniform, normal and Bernoulli Activities Under review eBooks Under review © 3P Learning 74 Notes powered by 3P Learning Australia Pty Ltd Level 2, 124 Walker Street North Sydney, NSW Tel: 1300 850 331 [email protected] www.3plearning.com
