Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Irene McCormack Catholic College Mathematics Learning Area Year 7 Mathematics Course 2 Program 2017 Resource Materials Year 7 Excel Workbook Mathspace Assessments MATHS MASTERY 10% TESTS (4) 20% EPW (2) 10% EXAM (Semester 1 Content Only) 8% SUB TOTAL 48% SEMESTER TWO MATHS MASTERY 10% TESTS (4) 20% EPW (2) 10% EXAM (Semester 1 & 2 Content) 12% SUB TOTAL 52% YEAR TOTAL 100% Term 1 Week 1 Content Number Revision Australian Curriculum Content Descriptor Whole numbers Place value Expanded Notation The four operations Order of operations Problem solving with whole numbers. RESOURCES Excel 7 Chapter 1 1.1 – 1.9 Each lesson will begin with Maths Mastery. Strategies for addition, subtraction, multiplication and division 2 Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151) Excel 7 Chapter 2 2.10 – 2.12 Special Numbers, Factors and Multiples 3 Special numbers Squares and Square roots Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122) Investigate and use square roots of perfect square numbers (ACMNA150) Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149) 4 TEST 1 Factors and Multiples and Indices Divisibility Factors, HCF and Multiples Index Notation Excel 7 Chapter 2 2.1 , 2.3, 2.4 Excel 7 Chapter 2 2.2, 2.5 – 2.9 Measurement Connect decimal representations to the metric system (ACMMG135) Units of length 5–6 Perimeter Additional resources Conversions Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137) Additional Resources Establish the formulas for areas of rectangles and triangles and use these in problem solving (ACMMG159) EPW 1 Area Solving Problems involving perimeter and area of shapes Excel Chapter 13 13.1 – 13.6 Composite Shapes Calculate volumes of rectangular prism (ACMMG160) 7 Volume Solve multistep problems involving the volume of rectangular prisms. Capacity Excel Chapter 13 13.7 – 13.10 Integers Compare, order, add and subtract integers (ACMNA280) 8 - 10 TEST 2 Integers and operations on Integers Introduction to integers Integers on Number lines Addition and Subtraction of Integers Excel Chapter 11 11.1 – 11.6 Term 2 Week Content Australian Curriculum Content Descriptor 1-2 NAPLAN Preparation Week 1: Review past NAPLAN papers for Non-Calculator 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 the use of digital technologies (ACMNA155) Compare fractions with related denominators and locate and represent them on a number line (ACMNA152) 3-5 TEST 3 W4 Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA153) Excel Chapter 4 4.1 – 4.12 Use technology: Excel Chapter 6 Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154) Use of technology technology Angles and shapes 5-7 TEST 5 W6 7-8 9 – 10 EPW 2 W9 Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163) Angles and lines Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164) Excel Chapter 10 10.1 – 10.9 Exams and Exam revision Geometry and Shapes 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 Chapter 12 12.1 – 12.7 Term 3 Week Content Australian Curriculum Content Descriptor Assessments 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) 1-3 Algebra 4 Test 5 Algebra and the Cartesian Plane Write algebraic expressions Simplifying Algebraic expressions Collecting like terms Algebraic Abbreviations Index notation Substitution Grouping – Connecting laws and properties of numbers to algebra Problem solving with algebra Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176) 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) Excel Chapter 8 8.1 – 8.8 Excel Chapter 11 11.11-11.15 Mathspace Distance Time graphs Decimals, Percentages, Ratios and Rates 5–6 Decimals Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155) Mathspace Rounding Round decimals to a specified number of decimal places (ACMNA156) Excel Chapter 5 5.1 – 5.10 Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154) Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157) 7–9 Test 6 Percentages Decimals Ratios and Rates Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA158) Excel Chapter 7 7.1 – 7.9 Investigate and calculate 'best buys', with and without digital technologies (ACMNA174) Recognise and solve problems involving simple ratios (ACMNA173) Transformations and Visualisation 9– 10 EPW 3 Transformations Describe translations, reflections in an axis, and rotations of multiples of 90 degrees on the Cartesian Plane using coordinates. Identify line and rotational symmetries Excel Chapter 3 3.1 – 3.6 Term 4 Week Content Australian Curriculum Content Descriptor Statistics and probability Assessments 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-andleaf plots and dot plots (ACMSP170) 1 -2 Statistics Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171) Excel Chapter 14 1.1 – 1.13 Describe and interpret data displays using median, mean and range (ACMSP172) 3 Test 7 EPW 4 Probability Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168) Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167) Excel Chapter 14 1.14 – 1.18 Mathspace Linear equations Solve simple linear equations (ACMNA179) 4–6 Test 8 Equations 7 One step equations Collecting like terms in equations Two step equations Problem solving with equations Excel Chapter 9 9.1 – 9.5 EXAM PREP WEEK Transformations and visualisation 8/9 3 D VIEWS Exam 2 Draw different views of prisms and solids formed from combinations of prisms (ACMMG161) Excel Chapter 3 3.7 – 3.10 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.