UNIT: TERM 1 YEAR 8 UNIT OVERVIEW: Number ASSESSMENT: MATHS MATE EXAM – Weeks 5 & 9/10 TERM EXAM – Week 8/9 UNIT DETAILS: Number and Value (integers) Real Numbers (terminating and recurring decimals, irrational numbers, percentage increase/decrease) Money (selling price, cost/buying price, profit and loss, discount, GST, mark up) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises NUMBER AND PLACE VALUE out the four operations with integers, using efficient mental and written strategies and appropriate digital technologies ACMNA183 1 Compare and order integers. Dwyer Textbook Ex. 2.1, 2.2, 2.3 Dwyer Textbook Ex. 2.13, 2.14 Chapter Review Ex. 2.16, 2.17 Pearson Mathematics 8 Chapter 1 Maths Quest 1 Chapter 4 2 Calculate addition, subtraction, multiplication and division operations with integers. Dwyer Textbook Ex. 2.4, 2.5, 2.6, 2.7, 2.8 3 Apply efficient mental and written strategies to solve operations. Dwyer Textbook Ex. 2.9 REAL NUMBERS terminating and recurring decimals ACMNA184 the concept of irrational numbers, including ACMNA186 problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies ACMNA188 4 Define rational and irrational numbers. Dwyer Textbook Ex. 6.1, 6.2, 6.3, 6.4. 6.5 Dwyer Textbook Ex. 6.10, 6.11 Chapter Review Ex. 6.13, 6.14 Pearson Mathematics 8 Ex. 2.2 Maths Quest 7 Ch 4 (rational) 5 Represent and compare rational numbers (fractions, decimals and percentages). 6 Classify and represent terminating, recurring and non-terminating decimals. 7 Investigate the concept of the irrational number (pi). Dwyer Textbook Ex. 6.6
MONEY problems involving profit and loss, with and without digital technologies ACMNA189 8 Define financial monetary terms of selling price, cost/buying price, profit and loss, discount, GST, mark up Dwyer Textbook Ex. 11.4, 11.5 Dwyer Textbook Ex. 11.12, 11.13 (relevant topics) Chapter Review Ex. 11.15, 11.16 (relevant topics) Pearson Mathematics 8 Ex. 2.10 Maths Quest 2 Ex. 1C, 1D 9 Apply percentages to solve problems, including those involving mark-ups, discounts, profit, loss and GST. 10 Represent and compare profit and loss as a percentage of cost or selling price. Dwyer Textbook Ex. 11.6 UNIT: TERM 2 YEAR 8 UNIT OVERVIEW: Number and Algebra ASSESSMENT: MATHS MATE EXAM – Weeks 4/5 & 9/10 TERM EXAM – Week 7/8/9 UNIT DETAILS: Number and Place Value (index notation, index laws) Real numbers (write and represent ratio, simplify, find quantities using ratio) Patterns and Algebra (algebraic expressions, substitution, distributive law, factorisation, simplify) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises AND PLACE index notation with numbers to establish the index laws with 1 Apply index law to numerical expressions with positive indices and the zero index.
positive indices and the zero index ACMNA182 Ex. 1.1. 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12 Ex. 1.19, 1.20 Pearson Mathematics 8 Chapter 1 Maths Quest 1 Ex. 1I Maths Quest 2 Ch 3 2 Evaluate numbers expressed as powers of positive integers. 3 Simplify algebraic expressions involving indices. PATTERNS & ALGEBRA Extend and apply the distributive law to the expression of algebraic expressions ACMNA189 Factorise algebraic expressions by identifying numerical factors ACMNA191 Simplify algebraic expressions involving the four operations ACMNA192 4 Simplify algebraic expressions involving the four operations. Dwyer Textbook Ex. 3.1, 3.2, 3.3, 3.4, 3.5, 3.6 Dwyer Textbook Ex. 3.20, 3.21 Chapter Review Ex. 3.23, 3.24 Pearson Mathematics 8 Ex 3.4, 3.5, 3.6, 3.7 Maths Quest 1 Ex. 5G, 5H, 5J Quest 2 Ex. 4A, 4F 5 Apply the distributive law to expand algebraic expressions. Dwyer Textbook Ex. 3.7, 3.8, 3.9, 3.10 6 Factorise algebraic expressions by identifying the highest common factor. Dwyer Textbook Ex. 3.11, 3.12, 3.13, 3.14, 3.15, 3.16 REAL NUMBERS Solve a range of problems involving ratios, with and without digital technologies ACMNA189 7 Write comparisons as a ratio and simplify. Dwyer Textbook Ex. 11.1, 11.2 8 Understand the relationship between ratios, fractions, decimals and percentages. Dwyer Textbook Ex. 11.1
Pearson Mathematics 8 Ex 4.1, 4.2, 4.4 Maths Quest 2 Ex. 2A, 2B, 2D, 2E, 2F 9 Apply ratios to calculate one quantity given the other. Dwyer Textbook Ex. 11.3 UNIT: TERM 3 YEAR 8 UNIT OVERVIEW: Number and Algebra ASSESSMENT: MATHS MATE EXAM – Weeks 4/5 & 8/9 TERM EXAM – Week 7/8/9 UNIT DETAILS: Real Numbers (rates, direct proportion, unitary method) Linear and Non-Linear Relationships (plot linear and non-linear relations, solve algebraically and graphically, verify using substitution) Strand Australian Curriculum Statement No Learning Goal Success Criteria (I know I’ve got it when I can successfully complete the following exercises and teach someone else the concepts) Additional Extension Exercises PATTERNS AND ALGEBRA Solve a range of problems involving rates, with and without digital technologies ACMNA189 problems involving direct proportion ACMNA208 1 Determine whether rates and ratios are in proportion. Dwyer Textbook 9 Ex. 6.4 2 Solve rate problems involving direct proportion. Dwyer Textbook 8 Ex. 11.7 Dwyer Textbook 9 Ex. 6.5, 6.9 3 Solve problems using the unitary method to compare different rates. Dwyer Textbook 8 Ex 11.8
Ex. 6.15, 6.16 Pearson Mathematics 8 Ex. 4.7 Maths Quest 2 Ex 2C 4 Interpret linear graphs of simple rate equations to problems. Dwyer Textbook 9 Ex. 6.6, 6.7 LINEAR RELATIONSHIPS linear equations using algebraic and graphical techniques. Verify solutions by substitution ACMNA194 linear relationships on the Cartesian plane with and without the use of digital technologies ACMNA194 5 Plot given points from a table and locate coordinates on Cartesian axes. Dwyer Textbook Ex. 16.1, 16.2 Textbook Ex. 16.11, 16.12 Chapter Review Ex. 16.13, 16.14 Pearson Mathematics 8 Ex. 6.2, 6.3, 6.4 Maths Quest 2 Ex 6A, 6B, 6C, 6D, 6E 6 Plot linear relationships using tables of values. Dwyer Textbook Ex. 16.3 7 Identify different gradients, the x and y intercepts on a line graph. 8 Derive a rule/linear function for a set of points that lie on a straight line. Dwyer Textbook Ex. 16.4, 12.1, 12,2 Dwyer Textbook Ex. 12.12, 12.13 Chapter Review Ex. 12.15, 12.16 Pearson Mathematics 8 Ex. 7.2, 7.3, 7.4, 7.5 Maths Quest 1 Ch 5 Maths Quest 2 Ex. 5A, 5B, 5C, 5D 9 Plot relationships using linear and non-linear functions. Dwyer Textbook Ex. 16.5, 16.6, 12.3 10 Solve equations with the variables on one side of the equation. Substitute to verify solutions. Dwyer Textbook Ex. 12.4, 12.5 11 equations with the variable on both sides of the equation. Substitute to verify solutions. 12 Examine the relationship between graphs and linear equations. Dwyer Textbook Ex. 12.6 13 Solve linear equations using algebraic and graphical techniques. Substitute to verify solutions. Textbook Ex. 12.7, 12.8 UNIT: TERM 4 YEAR 8 UNIT OVERVIEW: Measurement and Geometry ASSESSMENT: MATHS MATE EXAM – Weeks 4/5 & 8/9 TERM EXAM – Week 7/8/9