Whole number Integers Exponents Numeric and geometric patterns Functions and relationships Algebraic expressions 1 Algebraic equations 1 Term 1: Revision and assessment

Algebraic expressions 2 Algebraic equations 2 Construction of geometric figures The geometry of 2D shapes The geometry of straight lines Term 2: Revision and assessment

Common fractions
Fractions in decimal notation
The theorem of Pythagoras
Perimeter and area of 2D shapes
Surface area and volume of 3D objects
Collect, organise and summarise data
Represent data
Interpret, analyse and report on data

Gr. 8 Rainbow Maths Book 1 Index Doing calculations Multiples and factors Exponents Integers Common fractions Percentages and decimal fractions Input and output Algebraic expressions and equations Graphs Financial mathematics Geometric figures Transformations Geometry Perimeter and area Volume and surface area Data

Natural numbers, whole numbers and integers Commutative, associative and distributive properties Factors, prime factors and factorising Multiples and the lowest common multiple Highest common factor and lowest common multiple of three-digit numbers Finances – profit, loss and discount Finances – Budget Finances – loans and interest Finances – Hire Purchase Finances – exchange rates Sequences that involve integers Calculations with multiple operations Properties of numbers and integers Square numbers, cube numbers and more exponents Square numbers and square roots

Representing square roots Cube numbers and roots Representing cube roots Scientific notation Laws of exponents: xm xn = xmn Law of exponents: xm ÷ xn = xm − n More laws of exponents: (xm)n = xmn Law of exponents: (x°) = 1 Calculations with exponents Calculations with multiple operations (square and cube numbers, square and cube roots) Numeric patterns Input and output values Algebraic vocabulary Like terms: whole numbers Like terms: integers Writing number sentences

Set up algebraic equations Additive inverse and reciprocal Balance an equation Substitution Algebraic equations Solving problems Divide monomials, binomials and trinomials by integers or monomials Simplify algebraic expressions Calculate the square numbers, cube numbers and square roots of single algebraic terms Multiple operations: rational numbers Multiple operations Division operations Constructing geometric figures Construction with a protractor Parallel and perpendicular lines Construct angles and a triangle The sum of the interior angles of any triangle equals 180°

Constructing quadrilaterals Constructing polygons Polygons Similar Triangles Congruent triangles Similar triangles problems Quadrilaterals, triangles & angles Triangles and quadrilaterals Diagonals Quadrilaterals, angles and diagrams Parallel and perpendicular lines Pairs of Angles Gr. 8 Problems Geometric figures puzzle fun