MATHEMATICS CONTINUUM SHAPE, SPACE AND MEASURE Year 7 Year 13 Accurately measure and Use simple angles rules Use angle rules for Know and use circle Form geometric proofs draw angles polygons and shapes theorems using known angle rules with parallel lines Calculate area and Calculate areas and Calculate volume and Understand the effects Calculate the area of a Solve rates of change perimeter of rectangles perimeters of circles, surface areas of cuboids that enlargements will sector and the length of problems in volume triangles, trapezia and and other prisms have on volume and an arc contexts parallelograms area Use the trapezium rule to approximate definite integrals Use Pythagoras’ Use trigonometry in Use trigonometry in Solve trigonometric Theorem in right-angled right-angled triangles non-right-angled equations in degrees or triangles triangles radians Know different units of Convert between metric Convert between measurement for units of length, mass common metric and length, mass and and capacity imperial units capacity Identify lines of Rotate, reflect, enlarge Identify similar and Calculate missing angles Use a matrix to describe Multiply 2 by 2 matrices Find the inverse of a 2 symmetry and translate 2D shapes congruent shapes and sides in similar a translation and understand the link by 2 matrix shapes by identifying between matrices and the scale factor of transformations enlargement Understand vector Construct vector proofs Work with vectors in 3D Find the angle between notation and represent to find equations of two vectors, distance vectors with diagrams lines between two vectors and solve vector problems
MATHEMATICS CONTINUUM SHAPE, SPACE AND MEASURE Year 7 Year 13 Accurately measure and draw angles Use simple angles rules Use angle rules for polygons and shapes with parallel lines Know and use circle theorems Form geometric proofs using known angle rules Calculate area and perimeter of rectangles Calculate areas and perimeters of circles, triangles, trapezia and parallelograms Calculate volume and surface areas of cuboids and other prisms Understand the effects that enlargements will have on volume and area Calculate the area of a sector and the length of an arc Solve rates of change problems in volume contexts Use the trapezium rule to approximate definite integrals Use Pythagoras’ Theorem in right-angled triangles Use trigonometry in right-angled triangles Use trigonometry in non-right-angled triangles Solve trigonometric equations in degrees or radians Know different units of measurement for length, mass and capacity Convert between metric units of length, mass and capacity Convert between common metric and imperial units Identify lines of symmetry Rotate, reflect, enlarge and translate 2D shapes Identify similar and congruent shapes Calculate missing angles and sides in similar shapes by identifying the scale factor of enlargement Use a matrix to describe a translation Multiply 2 by 2 matrices and understand the link between matrices and transformations Find the inverse of a 2 by 2 matrix Understand vector notation and represent vectors with diagrams Construct vector proofs Work with vectors in 3D to find equations of lines Find the angle between two vectors, distance between two vectors and solve vector problems