Compare ratios and fractions

understand pi as a ratio

understand gradient as a ratio

Explore conversion graphs

Convert between currencies

Explore direct proportion graphs

Explore relationships with similar shapes

Understand scale factors

Draw and interpret scale diagrams

Interpret maps using scale factors

Multiply a fraction by an integer

Find the product of any two fractions

Divide an integer by a fraction

Understand and use the reciprocal

Divide any pair of fractions

Multiply and divide improper and mixed fractions

Multiply and divide algebraic fractions

draw lines parallel to the axes

recognise and use line y = x

recognise and use lines in form y = kx

link y - kx to direct proportion

explore gradient of a line

recognise and use lines in the form y = x + a

explore graphs with negative gradients

link graphs to linear sequences

plot graphs in the form y = mx+ c

explore non linear graphs

find the midpoint of two coordinates

describe linear correlation

draw and use line of best fit

identify non linear correlation

know different types of data

read and interpret ungrouped and grouped tables

represent grouped discrete data

represent continuous data

represent data in two way tables

find probability from sample spaces, two way tables and venn diagrams

use the product rule

use directed number with algebra

multiply out a single bracket

factorise a single bracket

expand multiply single brackets and simplify

expand a pair of binomials

solve equations including those with brackets

understand and solve simple inequalities

form and solve equations and inequalities with unknowns on both sides

identify and use identities, equations, expressions and formulae

generate sequences using simple algebraic rule

generate sequences using complex algebraic rule

find the nth term of a sequence

simplify algebraic expressions by multiplying and dividing indices

use addition and subtraction law for indices

explore power of powers

calculate key  fractions, percentages and decimals without a calculator 

calculate  fractions, percentages and decimals with and without  a calculator

convert between percentages and decimals over 100%

calculate percentage in crease and decrease with a calculator

work with percentage change

work with numbers greater than 1 in standard form

investigate negative powers of 10

work with numbers between 0 and 1 in standard form
compare and order numbers in standard form

mentally calculate numbers in standard form

add and subtract numbers in standard form

multiply and divide numbers in standard form

use a calculator to work with numbers in standard form

understand and use negative and fractional indices

estimate an answer to a calculation

understand and use error intervals

calculate using order of operations

calculate with money

convert metric measures of length, weight and capacity

convert metric units of area and volume

solve problems involving time and the calendar

Understand and use basic angle rules and notation

Investigate angles between parallel lines and the transversal

Identify and calculate with alternate and corresponding angles 

Identify and calculate with co-interior, alternate and corresponding angles

Solve complex problems with parallel line angles

Constructions triangles and special quadrilaterals

Investigate the properties of special quadrilaterals

Identify and calculate with sides and angles in special quadrilaterals

Understand and use the properties of diagonals of quadrilaterals

Understand and use the sum of exterior angles of any polygon

Understand and use the sum of the interior angles in any polygon

Calculate missing interior angles in regular polygons

Prove simple geometric facts