Mathematics KS3 at Brighouse High School Year 7 and 8 Foundation Curriculum Overview Foundation, term by term schedule Year 7 E1 E2 E3 Year 8 E4 I1 I2 Year 9 I3 I4 A1 E1.1 Multiply and divide by 10, 100 and 1000. E1.2 Long multiplication. E1.3 Short division, 4 digits by 1 digit (including remainder). E1.4 Short division, 4 digit by 2 digit. E1.5 Convert between mixed numbers and improper fractions. E1.6 Recognise mixed numbers and improper fractions. E1.7 Read and write decimal numbers as fractions. E1.9a Simplify fractions and write fractions with the same denominator. E1.9b Multiply proper and improper fractions by an integer. E1.10 Solve problems involving fractions of amounts. E1.11 Round a number with 2dp to a whole number and 1 dp. E1.12 Read, write, order and compare numbers up to 3 dp. E1.13 Recognise and use square and cube notation. E1.14 Work with coordinates in all four quadrants. E1.15 Express one quantity as a fraction of another.
E2.1 Add and subtract fractions with simple denominators. E2.2 Compare and order fractions with simple denominators. E2.3 Recognise and draw diagrams of common equivalent fractions. E2.4 Identify multiples, factors and common factors. E2.5 Calculate using positive powers. E2.6 Write expressions in words. E2.7 Understand, use and simplify algebraic notation. E2.8 Substitute positive numbers into expressions and formulae. E2.9 Use order of operations including brackets and powers. E2.10 Estimate and compare acute, obtuse and reflex angles. E2.11 Draw and measure angles in degrees. E3.1 Round to an appropriate degree of accuracy (d.p. and s.f.) E3.2 Approximate to estimate answers. E3.3 Multiply any two positive integers together. E3.4 Multiply a decimal by an integer. E3.5 Multiply any two decimals. E3.6 Understand and use standard mathematical formulae. E3.7 Find pairs to satisfy an equation with two unknowns. E3.8 Use standard conventions to label sides and angles. E3.9 Understand and use area formulae. E3.10 Understand and use the angle sums in triangles and quadrilaterals. E3.11 Properties of angles at a point, on a line, vertically opposite angles. E3.12 Change between standard units of measurement. E3.13 Use unit pricing to solve problems.
E4.1 Use negative numbers in context and count through 0. E4.2 Use four operations with negative integers. E4.3 Compare and order fractions, including fractions bigger than 1. E4.4 Add/subtract any fraction or mixed number using common denominators. E4.5a Multiply pairs of fractions and simplify. E4.5b Divide a fraction by a whole number. E4.6 Divide a fraction by a fraction. E4.7 Understand the link between fractions and division; change a fraction to a decimal. E4.8 Complete a table of values for a function. E4.10 Substitute any integer into formulae and expressions. E4.11 Calculate and solve problems involving cubes and cuboids. I1.1 Order numbers. I1.2a Find equivalents between Fractions,Decimals and Percentages I1.2b Find percentages of amounts I1.2c Find numbers as a percentage of another number I1.3 Use inequality symbols I1.4 Simplify and collect like terms I1.5 Write an expression or formula for a problem I1.6 Solve simple linear equations and inequalities I1.7 Solve simple linear equations and inequalities I1.8 Recognise linear functions with one variable I1.9 Find link between ratio and fractions I1.10 Find link between ratio and fractions I1.11 Use ratio notation I1.12 Solve direct proportion problems I1.13 Find the percentage change
I2.1 Divide whole numbers and decimals I.2.2Change recurring decimals into fractions and vice versa I2.3 Simplify, expand and factorise I2.4 Find terms of a sequence, find the nth term I2.5 Draw linear graphs eg y = 2x + 1 I2.6 Draw linear graphs and inequalities y 2x + 1 I2.7 Draw linear graphs and inequalities y 2x + 1 I2.8 Solve linear equations with brackets I2.9 Solve linear equations with unknowns on both sides I2.10 Find terms of a sequence, find the nth term KS3 at Brighouse High School I3.1 Standard form I3.2 Working with roots - estimation I3.3 Surds and roots I3.4 Laws of Indices I3.5/6 Expand binomials/factorise quadratics/collect like terms I3.7 Draw and interpret quadratic graphs I3.7 Pythagoras Theorem I3.8 Properties of triangles and quadrilaterals I3.9 Congruency of triangles I4.1 Further linear equations I4.2 Further equations of lines/perpendicular lines I4.3 proportion graphs I4.4 Further congruence and similarity I4.5 Trigonometry in right angled triangles I4.6 Circumference and area of circles I4.7 Trapezia/areas of compound shapes
A1.1 Simultaneous equations (2 linear) A1.2 Graphs of cubic, reciprocal and exponential functions A1.3 Changing the subject of a formula A1.4 Compound measures A1.5 Geometric progressions, including surds/quadratic sequences A1.6 3D shape properties A1.7 Volume and surface area of straight-edged prisms A1.8 Volume and surface area of cylinders A1.9 Growth, decay and compound interest A2.1 HCF, LCM and prime factors A2.2 Scale drawings and bearings A2.3 Constructions A2.4 Angles in parallel lines A2.5 Properties of, and angles in polygons A2.6 Circle properties and Theorems A2.7 Arc length and area of a sector A2.8 Translations, rotations, reflections A2.9 Enlargements, positive and negative
A3.1 Further indices, roots and surds rationalising the denominator A3.2 Further changing the subject variable both sides A3.3 Further quadratic factorisation (a not equal 1), A3.4 Solving quadratics - using the formula and completing the square A3.5 Proportion graphs A3.6 Proportion equations A3.7 Instantaneous and average rates of change A4.1 Graphs from real life contexts A4.2 Distance and velocity time graphs/gradients, areas under graphs A4.3 Exact trigonometric values A4.4 Pythagoras, trigonometry in 3D A4.5 Sine and Cosine rule/area of a triangle with sine rule/sine and cosine graph and transformation of graphs