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Irene McCormack Catholic College Mathematics Learning Area Year 7 Mathematics Extension Program 2017 Resource Materials Year 7 Excel Extension Workbook Mathspace Assessments SEMESTER ONE TESTS (4) 24% EPW (2) 16% EXAM (Semester 1 Content Only) 8% SUB TOTAL 48% SEMESTER TWO TESTS (4) 24% EPW (2) 16% EXAM (Semester 1 & 2 Content) 12% SUB TOTAL 52% YEAR TOTAL 100% Term 1 Week Content 1 Number Revision 2 Strategies for Addition and subtraction, multiplication and division Australian Curriculum Content Descriptor Whole numbers Place Value, Sequences and Expanded Notation Order of Operations Multi Step Problem Solving with Whole Numbers RESOURCES Excel 7 Ext Chapter 1 1.1 -1.9 Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151) Solve Multi Step Problems Special Numbers, Multiples and Factors 3 4 TEST 1 Special Numbers Squares Square roots Factors and Multiples And Indices Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122) Investigate and use square roots of perfect square numbers (ACMNA150) Square roots of Decimals (additional Resources needed) Divisibilty HCF LCM (additional resources needed) Index Notation Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149) Excel 7 Chapter 2 2.1 2.3 2.4 Excel 7 Ext 1.12 Excel 7 Chapter 2 2.2, 2.5 -2.9 Additional resources for LCM Excel 7 Ext 1.10-1.11 Measurement Units of length 5-6 EPW 1 Perimeter Connect decimal representations to the metric system (ACMMG135) Unit Conversions Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137) Solving Multi Step Problems Area 7 Volume Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159) Solving Multistep Problems Composite Shapes Calculate volumes of rectangular prism (ACMMG160) Solving Multistep problems Capacity Inverse use of formula Additional Resources Additional Resources Excel 7 Ext Chapter 11 11.1-11.7 Excel 7 Ext 11.8-11.12 Integers 8-10 TEST 2 WK 8 Integers and Operations on Integers Weeks 8-10 NAPLAN Compare, order, add and subtract integers (ACMNA280) Multiplication and Division of Integers (Enrichment) Order of operations Multistep Problem Solving One period per week to look at Problem solving style questions from past NAPLAN papers. Excel 7 Ext Chapter 6 6.1-6.10 6.13 Term 2 Week Content Australian Curriculum Content Descriptor 1-2 NAPLAN Preparation Week 1: Review past NAPLAN papers for NonCalculator section and address appropriate strategies for solving these style of questions for Number, Space, Measurement, Chance and Data. Week 2: Review past NAPLAN papers for Calculator section and address appropriate strategies for solving these style of questions for Number, Space, Measurement, Chance and Data. RESOURCES Past NAPLAN papers Resource workbooks Mathspace Fractions Compare fractions with related denominators and locate and represent them on a number line (ACMNA152) Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155) Compare fractions with related denominators and locate and represent them on a number line (ACMNA152) Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA153) Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154) Extract Information from word problems Squares and √ of fractions Use Technology Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163) Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164) 3-5 TEST 3 WK 4 Fractions Excel 7 Ext Chapter 2 2.1-2.16 Use of Technology Chapter 5 5.1-5.7 Angles and shapes Angles 6-7 TEST 4 Wk 6 7-8 Geometry and Shapes EPW 2 Week 9 EXAM Exams and exam revision 9-10 EPW 2 WK 9 Excel 7 Ext Chapter 10 10.1-10.9 Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMMG166) Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165) Excel 7 Ext Chapter 10 10.10-10.17 Term 3 Week Content Australian Curriculum Content Descriptor RESOURCES Algebra Introduce the concept of variables as a way of representing numbers using letters (ACMNA175) Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177) Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176) Writing expressions Simplifying Expressions Substitution Index Law Expanding and Simplifying Solving Problems Algebra 1-3 o o o o o o Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178) Investigate, interpret and analyse graphs from authentic data (ACMNA180) Distance Time tables and graphs Additional Resources Rule from a table Show a linear relationship Additional Resources 4 TEST 5 Algebra and the Cartesian Plane o o o Excel 7 Ext Chapter 7 7.1-7.10 Excel 7 Ext Chapter 6 6.11, 6.12 MATHSPACE Decimals, percentages and ratio and Rates 5-6 Decimals 7-9 TEST 6 Percentage, Decimals, Ratios and Rates Round decimals to a specified number of decimal places (ACMNA156) Additional Resources Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157) Add and Subtract decimals Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154) Multistep Problem Solving Conversions Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA158) Recognise and solve problems involving simple ratios (ACMNA173) Investigate and calculate 'best buys', with and without digital technologies (ACMNA174) Show Full working in Proportional Relationships Excel 7 Ext Chapter 3 3.1 -3.9 MATHSPACE Excel 7 Ext Chapter 4 4.1 -4.10 MATHSPACE Transformations and visualisation 9-10 EPW 3 Transformations Describe Multiple translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries Excel 7 Ext Chapter 9 9.3 -9.7 MATHSPACE Term 4 Week Content Australian Curriculum Content Descriptor Statistics and probability 1-2 Data Statistics 3 Test 7 EPW 4 Data Probability Identify and investigate issues involving continuous or large count data collected from primary and secondary sources (ACMSP169) Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170) Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171) Describe and interpret data displays using median, mean and range (ACMSP172) Compares Data (additional Resources) Justify Changes(additional Resources) Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167) Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168) Devises a single step experiment to determine probability (additional resources) Resources Excel 7 Ext Chapter 12 12.1-12.12 MATHSPACE Excel 7 Ext Chapter 12 12.14-12.18 MATHSPACE Linear equations 4-6 Test 8 Equations 7 Excel 7 Ext Chapter 8 8.1-8.7 MATHSPACE EXAM PREP WEEK Transformations and visualisation 8 -9 EXAM Solve simple linear equations (ACMNA179) Solve Multistep equations with variables on both sides Grouping symbols More than 3 step equations (Additional resources) Validating solutions Shapes and Geometry Draw multiple views of prisms and solids formed from combinations of prisms (ACMMG161) Interprets different views (Additional resources) Excel 7 Ext Chapter 9 9.8-9.12 Year 7 Achievement Standard Number and Algebra By the end of Year 7 students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. They solve problems involving percentages and all four operations with fractions and decimals. They compare the cost of items to make financial decisions. Students represent numbers using variables. They connect the laws and properties for numbers to algebra. They assign ordered pairs to given points on the Cartesian plane. They interpret simple linear representations and model authentic information. They solve simple linear equations and evaluate algebraic expressions after numerical substitution. Measurement and Geometry Students describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They solve simple numerical problems involving angles formed by a transversal crossing two lines. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel lines. Statistics and Probability Students identify issues involving the collection of continuous data. They construct stem-and-leaf plots and dot plots. They describe the relationship between the median and mean in data displays. They calculate mean, mode, median and range for data sets. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes.