Solve linear equations with unknowns on both sides Know that area of a circle = Solving equations and inequalities πr² Plot and interpret graphs of linear functions Know that volume of prism = area of cross-section × length Calculating space Apply the formulae for circumference and area of a circle Know to use the midpoints of groups to estimate the mean of a set of grouped Algebraic proficiency: visualising data Calculate theoretical probabilities for single events Understanding risk II Know that probability is measured on a 0-1 scale Know that the sum of all probabilities for a single event is 1 Presentation of data Measuring data Mathematics overview: Stage 7 Unit Mastery indicators Essential knowledge Numbers and the number system Use positive integer powers and associated real roots Know the first 6 cube numbers Apply the four operations with decimal numbers Know the first 12 triangular numbers Counting and comparing Write a quantity as a fraction or percentage of another Know the symbols =, ≠, <, >, ≤, ≥ Calculating Use multiplicative reasoning to interpret percentage change Know the order of operations including brackets Visualising and constructing Add, subtract, multiply and divide with fractions and mixed Know basic algebraic notation Investigating properties of shapes numbers Know that area of a rectangle = l × w Algebraic proficiency: tinkering Check calculations using approximation, estimation or Know that area of a triangle = b × h ÷ 2 Exploring fractions, decimals and inverse operations Know that area of a parallelogram = b × h percentages Simplify and manipulate expressions by collecting like Know that area of a trapezium = ((a + b) ÷ 2) × h Proportional reasoning terms Know that volume of a cuboid = l × w × h Pattern sniffing Simplify and manipulate expressions by multiplying a single term over a bracket Know the meaning of faces, edges and vertices Measuring space Substitute numbers into formulae Know the names of special triangles and quadrilaterals Investigating angles Solve linear equations in one unknown Know how to work out measures of central tendency Calculating fractions, decimals and Understand and use lines parallel to the axes, y = x and y = percentages Know how to calculate the range -x Solving equations and inequalities Calculate surface area of cubes and cuboids Calculating space Understand and use geometric notation for labelling angles, Checking, approximating and estimating lengths, equal lengths and parallel lines Mathematical movement Presentation of data Measuring data Mathematics overview: Stage 6
Solve linear equations with unknowns on both sides Plot and interpret graphs of linear functions Apply the formulae for circumference and area of a circle Calculate theoretical probabilities for single events Know that area of a circle = πr² Know that volume of prism = area of cross-section × length Know to use the midpoints of groups to estimate the mean of a set of grouped data Know that probability is measured on a 0-1 scale Know that the sum of all probabilities for a single event is 1 Solving equations and inequalities Calculating space Algebraic proficiency: visualising Understanding risk II Presentation of data Measuring data Mathematics overview: Stage 7 Unit Mastery indicators Essential knowledge Numbers and the number system Use positive integer powers and associated real roots Apply the four operations with decimal numbers Write a quantity as a fraction or percentage of another Use multiplicative reasoning to interpret percentage change Add, subtract, multiply and divide with fractions and mixed numbers Check calculations using approximation, estimation or inverse operations Simplify and manipulate expressions by collecting like terms Simplify and manipulate expressions by multiplying a single term over a bracket Substitute numbers into formulae Solve linear equations in one unknown Understand and use lines parallel to the axes, y = x and y = -x Calculate surface area of cubes and cuboids Understand and use geometric notation for labelling angles, lengths, equal lengths and parallel lines Know the first 6 cube numbers Know the first 12 triangular numbers Know the symbols =, ≠, <, >, ≤, ≥ Know the order of operations including brackets Know basic algebraic notation Know that area of a rectangle = l × w Know that area of a triangle = b × h ÷ 2 Know that area of a parallelogram = b × h Know that area of a trapezium = ((a + b) ÷ 2) × h Know that volume of a cuboid = l × w × h Know the meaning of faces, edges and vertices Know the names of special triangles and quadrilaterals Know how to work out measures of central tendency Know how to calculate the range Counting and comparing Calculating Visualising and constructing Investigating properties of shapes Algebraic proficiency: tinkering Exploring fractions, decimals and percentages Proportional reasoning Pattern sniffing Measuring space Investigating angles Calculating fractions, decimals and percentages Solving equations and inequalities Calculating space Checking, approximating and estimating Mathematical movement Presentation of data Measuring data Mathematics overview: Stage 6