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YEAR 7 MATHEMATICS UNIT: TERM 1 YEAR 7 UNIT OVERVIEW: Number Measurement ASSESSMENT: MATHS MATE EXAM – Weeks 5 & 9/10 UNIT DETAILS: Real Numbers Measurement TERM EXAM – Week 8/9 (fractions, decimals, percentages) (area of rectangles, triangles, parallelograms) Success Criteria Strand Australian Curriculum Statement (I know I’ve got it when I can No Learning Goal successfully complete the following exercises and teach someone else the Additional Extension Exercises MEASUREMENT REAL NUMBERS concepts) Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line. ACMNA152 Connect fractions, decimals and percentages and carry out simple conversions. ACMNA157 Express one quantity as a fraction of another with and without the use of digital technologies. ACMNA155 Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. ACMNA158 Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving. ACMMG159 1 Represent and compare fractions and decimals pictorially and on a number line. Dwyer Textbook Ex. 1.1 2 Classify and convert between types of fractions. Compare and order fractions using equivalence. Dwyer Textbook Ex. 1.2, Investigation 1.3 3 Compare and convert between fractions, decimal and percentages. Dwyer Textbook Ex. 1.6 4 Express one quantity as a fraction or percentage of another. Dwyer Textbook Ex. 1.4 5 Calculate fraction and percentages of a quantity. 6 Determine formulas for areas of rectangles, triangles and parallelograms and apply to problem solving situations. Dwyer Textbook Ex. 1.3, 1.5 Dwyer Textbook Ex. 2.1, 2.2, 2.4. 2.6, 2.7 7 Determine that the area of a triangle is half the area of an appropriate rectangle. Dwyer Textbook Ex. 2.3 8 Apply area formula to calculate areas of composite 2-dimensional shapes. Dwyer Textbook Ex.2.5, 2.7 Dwyer Textbook Ex. 1.12, 1.13 Chapter Review Ex 1.15, 1.16 Investigation 1.3 Pearson Mathematics 7 Ex. 3.1, 3.2, 3.3 Ex. 4.1, 4.3, 4.7 Maths Quest 7 Ex. 6.2, 6.3, Ch 7 Dwyer Textbook Ex. 2.11, 2.12 Chapter Review Ex 2.14, 2.15 Investigation 2.1, 2.2 Pearson Mathematics 7 Ex. 6.2, 6.3, 6.4, 6.5 Maths Quest 7 Ex. 9.5, 9.6 YEAR 7 MATHEMATICS UNIT: TERM 2 YEAR 7 UNIT OVERVIEW: Number and Algebra ASSESSMENT: MATHS MATE EXAM – Weeks 4/5 & 9/10 UNIT DETAILS: Number and Place Value Real Numbers Patterns and Algebra Linear and Non-Linear Relationships TERM EXAM – Week 7/8/9 (laws and properties of arithmetic) (operations involving fractions, equivalence) (variables, algebraic expressions, substitution) (simple linear equations) Success Criteria Strand Australian Curriculum Statement (I know I’ve got it when I can No Learning Goal successfully complete the following exercises and teach someone else the Additional Extension Exercises REAL NUMBERS NUMBER & PLACE VALUE concepts) Apply the associative, commutative and distributive laws to aid mental and written computation. ACMNA150 Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line. ACMNA152 Solve problems involving addition and subtraction of fractions, including those with unrelated denominators. ACMNA154 Multiply and divide fractions and decimals using efficient written strategies and digital technologies. ACMNA154 1 2 3 4 5 6 7 Identify and apply the laws and properties of arithmetic to simplify and solve algebraic expressions (Commutative and Associative Laws). Dwyer Textbook Ex. 7.5, 7.6, 7.7, 7.8 Represent positive and negative fractions and mixed numbers on a number line. Evaluate, compare and order fractions using equivalence. Dwyer Textbook Ex. 6.1 Dwyer Textbook Ex. 6.1, 6.2 Represent the addition and subtraction of fractions using diagrams. Solve problems involving addition and subtraction of fractions, including those with unrelated denominators. Represent the multiplication and division of fractions using diagrams. Solve problems involving the multiplication and division of fractions. Dwyer Textbook Ex. 6.3, 6.4 Pearson Mathematics 7 Ex 1.1 Dwyer Textbook Ex. 6.10, 6.11 Chapter Review Ex 6.13, 6.14 Pearson Mathematics 7 Ex. 1.5, Ch 3 C2C Basic Fraction Quiz Dwyer Textbook Ex. 6.5, 6.6 G:\Coredata\Curriculum\MATHS\Y R 7 MATHS\2015\TERM 1\RESOURCES YEAR 7 MATHEMATICS PATTERNS & ALGEBRA / LINEAR RELATIONSHIPS Introduce the concept of variables as a way of representing numbers using letters. Create algebraic expressions and evaluate them by substituting a given value for each variable. ACMNA175 Extend and apply the laws and properties of arithmetic to algebraic terms and expressions. ACMNA177 Solve simple linear equations. ACMNA179 8 Define and apply the order of operations to determine the value of an algebraic expression. 9 Define the concept of variables to represent numbers using letters. 10 11 Dwyer Textbook Ex. 7.1, 7.2 Dwyer Textbook Ex. 7.12, 7.13 Chapter Review Ex 7.15, 7.16 Dwyer Textbook Ex. 7.3 Pearson Mathematics 7 Ex 5.1 – 5.4, half time review Maths Quest 7 Ex. 8.2, 8.3, 8.4, 8.5 Write algebraic expressions of a word description. Evaluate algebraic expressions by substituting a given value for each variable. Dwyer Textbook Ex.7.4 G:\Coredata\Curriculum\MATHS\Y R 7 MATHS\2015\TERM 2\RESOURCES YEAR 7 MATHEMATICS UNIT: TERM 3 YEAR 7 UNIT OVERVIEW: Number and Algebra ASSESSMENT: MATHS MATE EXAM – Weeks 4/ 5 & 8/9 UNIT DETAILS: Number and Place Value Real Numbers Linear and Non-Linear Relationships TERM EXAM – Week 7/8/9 (index notation, square numbers, integers) (fractions, decimals, percentages) (Cartesian plane coordinates) Success Criteria NUMBER AND PLACE VALUE Strand Australian Curriculum Statement Investigate index notation and represent whole numbers as products of powers of prime numbers. ACMNA149 Investigate and use square roots of perfect square numbers. ACMNA150 Compare, order, add and subtract integers. ACMNA280 No 1 Represent numbers using index notation. 2 Define and compare prime and composite numbers. Dwyer Textbook Ex. 11.1, 11..2, 11.3, Dwyer Textbook Ex. 11.4, 11.5, 11.6, 11.7 3 Represent whole numbers as products of powers of prime numbers. Dwyer Textbook Ex. 11.8, 11.9, 11.10 4 Define and represent square numbers and apply square-root notation. 5 Investigate between which two whole numbers a square root lies. 6 Define the term integer. 7 Evaluate, compare and order integers. 9 LINEAR RELATIO NSHIPS complete the following exercises and Additional Extension Exercises teach someone else the concepts) 8 Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point. ACMNA178 Learning Goal (I know I’ve got it when I can successfully 10 Dwyer Textbook Ex.11.11, 11.12 Dwyer Textbook Ex.9.1 Dwyer Textbook Ex.9.2, 9.3 Represent the addition and subtraction of integers using number lines. Solve problems involving addition and subtraction of integers. Dwyer Textbook Ex.9.4, 9.5, 9.6 Plot given points from a table and locate coordinates on a Cartesian Plane. Dwyer Textbook Ex.9.7, 9.8, 9.9, 9.10 Dwyer Textbook Ex. 11.16, 11.17 Investigation Exercises Chapter Review Ex 11.19, 11.20 Pearson Mathematics Ex 1.2 Ex 2.1, 2.2, 2.3 Maths Quest 7 Ch 3 Dwyer Textbook Ex. 9.11, 9.15, 9.16 Chapter Review Ex 9.18, 9.19 Pearson Mathematics 7 Ex 2.4, 2.5, 2.6, 2.7 Ex 5.7, 5.8 Maths Quest 7 Ex. 2.2, 2.3, 2.6, 12.2, 12.3, 12.4 Ex. 15.3 REAL NUMBERS YEAR 7 MATHEMATICS Compare and order fractions using equivalence. Locate and represent fractions and mixed numerals on a number line. ACMNA152 Connect fractions, decimals and percentages and carry out simple conversions. ACMNA157 Express one quantity as a fraction of another with and without the use of digital technologies. ACMNA155 Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. ACMNA158 11 Compare and order fractions using equivalence. 12 Compare and convert between fractions, decimal and percentages. 13 Dwyer Textbook Ex. 16.12, 16.13 Chapter Review Ex 16.14, 16.15 (relevant questions) Dwyer Textbook Ex.16.4, 16.5 Maths Quest 7 Ch 6, Ch 7 Express one quantity as a fraction or percentage of another. Dwyer Textbook Ex.16.6, 16.7 14 Calculate fraction and percentages of a quantity. Pearson Mathematics 7 Ex 4.7, 4.8 YEAR 7 MATHEMATICS UNIT: TERM 4 YEAR 7 UNIT OVERVIEW: Number and Algebra Measurement and Geometry ASSESSMENT: MATHS MATE EXAM – Weeks 4/5 & 8/9 UNIT DETAILS: Patterns and Algebra Linear and Non-Linear Relationships Measurement Geometric Reasoning TERM EXAM – Week 7/8/9 (variables, algebraic expressions, substitution) (solve simple linear equations) (volume of rectangular and triangular prisms) (classify angles, triangles, quadrilaterals, angle properties) Success Criteria MEASUREMEN T PATTERNS AND ALGEBRA / LINEAR RELATIONSHIPS Strand Australian Curriculum Statement Create algebraic expressions and evaluate them by substituting a given value for each variable. ACMNA175 Extend and apply the laws and properties of arithmetic to algebraic terms and expressions. ACMNA177 Solve simple linear equations. ACMNA179 Calculate volumes of rectangular prisms. ACMMG160 Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to No Learning Goal (I know I’ve got it when I can successfully complete the following exercises and Additional Extension Exercises teach someone else the concepts) Dwyer Textbook Ex.12.1, 12.2, 17.1 1 Write algebraic equations of a word description. 2 Apply the balance method and backtrack to solve Dwyer Textbook Ex. 12.2, 12.3, 17.2, 17.3 for the unknown variable in an algebraic equation. Ex. 125, 12.6 Evaluate algebraic equations by substituting a given value for each variable. Dwyer Textbook Ex. 12.7, 17.7 4 Determine formulas for calculating volumes of rectangular and triangular prisms. Dwyer Textbook Ex.8.1, 8.2 Dwyer Textbook 8 Ex. 17.8 5 Understand, apply and convert between cubic units when calculating volume. Dwyer Textbook Ex. 8.5 3 Dwyer Textbook Ex. 12.11, 12.11 Ex. 17.11, 17.12 Chapter Review Ex. 12.14, 12.15 Ex. 17.14, 17.15 (relevant questions) Pearson Mathematics 7 Chapter 7 Maths Quest 7 Ex. 8.6, 8.7 Ch 13 Dwyer Textbook Ex. 8.9, 8.10 Investigation Exercises 8.1-8.4 Chapter Review Ex 8.12, 8.13 YEAR 7 MATHEMATICS GEOMETRY solve problems involving volume. ACMMG198 Classify triangles according to their side and angle properties and describe quadrilaterals. ACMMB165 Demonstrate that the angle sum of a triangle is 180º and use this to find the angle sum of a quadrilateral. ACMMG166 Dwyer Textbook Ex. 8.3, 8.4 Dwyer Textbook 8 Ex 17.8 6 Apply volume formula to solve problems involving volume of rectangular and triangular prisms. 7 Define, measure, construct and classify angles. 8 Apply angle rules to calculate size of unknown angles. 9 Identify side and angle properties of scalene, isosceles, right-angled and obtuse-angled triangles. Dwyer Textbook Ex. 13.8 Pearson Mathematics 7 Ex 6.6 Maths Quest 7 Ex. 9.7, 9.8 Dwyer Textbook Ex. 13.6, 13.7 Ex. 13.14, 13.15 Investigation 13.4 Chapter Review Ex 13.15, 13.16 Classify quadrilaterals in terms of angle and side properties. Apply the angle sum of a triangle and quadrilateral to calculate unknown angle size. Dwyer Textbook Ex. 13.9 Dwyer Textbook Ex. 13.8, 13.9 Pearson Mathematics 7 Chapter 8 Maths Quest 7 Ch 5 10 11 Dwyer Textbook Ex. 13.1, 13.2, 13.3 13.4, 13.5