Year 8 Level Description The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies. At this year level: Understanding includes describing patterns involving indices and recurring decimals, identifying commonalities between operations with algebra and arithmetic, connecting rules for linear relations with their graphs, explaining the purpose of statistical measures and explaining measurements of perimeter and area Fluency includes calculating accurately with simple decimals, indices and integers; recognising equivalence of common decimals and fractions including recurring decimals; factorising and simplifying basic algebraic expressions and evaluating perimeters and areas of common shapes and volumes of three-dimensional objects Problem-solving includes formulating and modelling practical situations involving ratios, profit and loss, areas and perimeters of common shapes and using two-way tables and Venn diagrams to calculate probabilities Reasoning includes justifying the result of a calculation or estimation as reasonable, deriving probability from its complement, using congruence to deduce properties of triangles, finding estimates of means and proportions of populations. Year 8 Mathematics Course 3 Program Term 1 Week Content Australian Curriculum Content Descriptor Resources Assessments Integers and Indices 1 - 2 Integers Review Integer multiplication and division Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies Ch 3 Unit 1-5 P Recall 1 1.1, 1.2 3 - 4 Combined operations with integers Multiplying and dividing numbers in index form Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies Use index notation with numbers to establish the index laws with positive integral indices and the zero index Excel Ch 3 Unit 6 Excel Ch 4 Unit 1-6 P 1.3 Half-time 1 1.4, 1.5 EPW 1
Week Content Australian Curriculum Content Descriptor Resources Assessments Fractions, decimals and percentages 5 Rounding decimals Converting between fractions and terminating decimals Investigate terminating and recurring decimals Investigate the concept of irrational numbers, including Excel Ch 5 Unit 2 Excel Ch 5 Unit 3 P Recall 2 2.1 6 Recurring decimals Negative fractions and decimals Investigate terminating and recurring decimals Investigate the concept of irrational numbers, including π Excel Ch 5 Unit 4,5 P 2.2, 2.3, 2.4 Test 1 7 Writing fractions and decimals as percentages Writing percentages as fractions and decimals No descriptors for Year 8 Excel Ch 2 Unit 2-5 P 2.5 Half-time 2 2.6 8-9 Finding a percentage of an amount Increasing or decreasing by a given percentage Writing one amount as a percentage of another problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies Excel Ch 2 Unit 6-9 P 2.7, 2.8, 2.9 9-11 Financial application of percentages problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies Solve problems involving profit and loss, with and without digital technologies Excel Ch 2 Unit 11,12 P 2.10 Chapter review 2 Test 2
Term 2 Week Content Australian Curriculum Content Descriptor Resources Assessments Algebra 1 Variables and expressions Substitution for variables Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution Excel Ch 6 Unit 1,2,4 Excel Ch 6 Unit 5,6 P 3.1, 3.2 2 Using formulae Excel Ch 11 Unit 7 P 3.3 3 Collecting like terms Multiplying and dividing simple algebraic terms Simplify algebraic expressions involving the four operations Excel Ch 6 Unit 3,7,8 Excel Ch 6 Unit 9-11 P 3.4 Half-time 3 3.5 EPW 2 4 Expanding brackets Factorising Extend and apply the distributive law to the expansion of algebraic expressions Factorise algebraic expressions by identifying numerical factors Excel Ch 6 Unit 12,13 P 3.6, 3.7 Chapter review 3 Ratio and rate 5 Writing ratios Simplifying ratios Unit ratio and scale factors Solve a range of problems involving rates and ratios, with and without digital technologies Excel Ch 5 Unit 6 Excel Ch 5 Unit 10 P Recall 4 4.1, 4.2, 4.3 6 REVISION Test 3 7 EXAMS EXAM 8 Using ratios to find amounts Sharing amounts in a given ratio Solve a range of problems involving rates and ratios, with and without digital technologies Ch 5 Unit 7 P 4.4 Half-time 4 9 Rates Solve a range of problems involving rates and ratios, with and without digital technologies Ch 5 Unit 8,9,11 P 4.6, 4.7 Measurement 9 Perimeter Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites Excel Ch 7 Unit 6,7 Term 3