Understand place value up to 1000
Make approximations to sums under 1000
Use decimal notation as in money
Use negative numbers as in temperature
Add and subtract 2 digit numbers mentally
Add and subtract 3 digit numbers using written methods
Know the 2, 3, 4, 5 and 10 times tables and use them to do division
Use simple fractions and recognise when two fractions are equivalent

Multiply and divide whole numbers by 10 and 100
Know tables up to 10 times 10 and use them to solve problems
Do short multiplication and short division
Add and subtract decimals to 2 places
Put decimals in order (up to 3 decimal places)
Use approximations to see if an answer is about right
Work out a simple fraction of an amount
Work out a simple percentage of an amount
Recognise and describe number patterns
Understand the meaning of ‘multiple’, ‘factor’ and ‘square’

Multiply and divide decimals by 10, 100 and 1000
Add and subtract negative numbers
Multiply and divide decimals to 2 places
Cancel down fractions to their lowest form
Solve problems using ratio
Use a calculator to work out a fraction of an amount
Use a calculator to work out a percentage of an amount
Multiply a 3 digit number by a 2 digit number without a calculator

Use formulae written in symbols
Make up formulae in symbols using one or two operations
Use brackets to change the order of operations
Remove brackets and collect like terms
Solve simple linear equations by inspection
Plot co-ordinates in all 4 quadrants

Work out one number as a percentage of another
Work out one number as a fraction of another
Convert between fractions, decimals and percentages
Add and subtract fractions

Write the nth term of linear sequence
Solve linear equations with unknowns on one or both sides of the equals
Plot a graph from an algebraic rule
Plot graphs of real life situations

Round numbers to 1 significant figure to estimate answers
Solve problems with numbers involving several steps using a calculator where necessary
Calculate a proportional change

Write the nth term of a quadratic sequence
Multiply together two brackets and simplify the answer
Factorise a linear expression
Solve simultaneous equations algebraically
Solve simultaneous equations graphically
Solve simple inequalities

Substitute fractions, decimals and negative numbers into formulae
Rearrange a formula
Factorise a quadratic expression
Write the difference of two squares as the product of two linear terms
Solve inequalities in 2 variables
Sketch graphs of linear, quadratic, cubic and reciprocal functions

Understand and use rational and irrational numbers
Find lower and upper bounds for answers
Use direct and inverse proportion

Use the rules of indices including negative and fractional values in algebraic expressions
Solve simultaneous equations where one is linear and the other is quadratic
Use y = mx + c to sketch straight line graphs

Describe 2D and 3D shapes using everyday language
Say if things are bigger or smaller than each other

Sort objects

Use mathematical names for common 2D and 3D shapes
Describe the number of sides and corners of these shapes
Understand that angles measure how much something has turned
Recognise a right angle
Use everyday units to measure length and weight

Write information in a list
Draw a table
Draw a block graph

Group together 2D and 3D shapes according to their properties
Understand line symmetry
Understand units of length, capacity, weight (metric and Imperial) and time and use these

Read information from a table or a list
Draw a bar chart
Draw a pictogram
Get information from a bar chart or a pictogram

Make 3D models, as instructed, from multilink cubes
Draw common 2D shapes as instructed
Reflect shapes in a mirror line
Read accurately from a ruler and from other scales
Find the perimeter of a shape
Find the area of a shape by counting squares

Collect data and put it into a frequency table
Work out the mode
Work out the range
Sort data into groups and then show this data as a diagram
Draw line graphs

Use a protractor to measure and draw angles to the nearest degree
Know that the angles in a triangle add up to 180 degrees
Know that the angles on a straight line add up to 180 degrees
Know that the angles at a point add up to 360 degrees
Understand rotational symmetry
Know rough conversions between metric and Imperial units
Convert between metric units
Estimate distances
Work out the area of a rectangle
Work out the area of a triangle

Work out the mean of a set of numbers
Work out the median of a set of numbers
Compare two sets of data using averages and the range
Read information from a graph
Read information from a pie chart
Write probabilities as numbers between 0 and 1 by approximation
Write probabilities as numbers between 0 and 1 by considering equally likely outcomes

Draw 3D objects
Know the different properties of quadrilaterals
Work out angles in polygons
Work out angles in parallel lines
Use LOGO to draw shapes and paths
Use formulae for working out the circumference and area of a circle
Work out the areas of composite shapes
Work out the volumes of cuboids and shapes made from cuboids
Enlarge a shape by a positive whole number

Collect continuous data and group it in a table or a graph
Draw a pie chart calculating the angles
Look at scatter graphs and state the correlation that exists
Draw histograms with equal intervals
List the possible outcomes of two events
Know that the total probability must add up to 1

Use Pythagoras’ theorem
Calculate the volume of a prism
Enlarge a shape by a fractional scale factor
Use similar shapes to calculate lengths
Draw or explain the locus of a point under certain conditions
Give errors in measurements given to the nearest whole number
Use compound measures e.g. speed, density

Write a hypothesis and design a way of testing it
Find the modal group
Work out the mean and the median from a grouped frequency table
Draw frequency polygons
Draw a line of best fit on a scatter diagram
Understand relative frequency as a measure of probability

Use congruence
Use trigonometry to calculate lengths and angles
Use dimensions to determine whether formulae give length, area or volume

Draw cumulative frequency graphs
Use these to find the median and the interquartile range
Calculate the probability of a compound event

Sketch graphs of sine, cosine and tangent for any angle
Solve problems using Pythagoras’ theorem and trigonometry
Calculate the length of an arc and the area of a sector
Calculate the surface area of a cylinder and the volumes of cones and spheres

Draw and interpret histograms with unequal class widths
Calculate probabilities of independent mutually exclusive events

Draw pictures to show what is happening
Spot a pattern

Use mathematical language and symbols
Say why an answer is correct

Try different ways of solving of a problem
Organise my work in a logical order
Make comments about diagrams or tables

Use a strategy to solve a problem
Present information in a clear and organised way
Look for a general solution to a problem

Find all the necessary information to solve a problem
Check results to see if they are sensible
Use words or symbols to describe a general solution

Solve a large problem by making it into several smaller problems
Use different ways to show what I have found (including algebra for an investigation)
Explain what diagrams or rules mean
Start to say why rules work

Choose the best way to present a solution
Simplify any formulas
Explain why the solution has been presented in the way I have chosen
Explain why the solution works

Extend the problem by asking my own questions
(In an investigation) use algebra confidently

Say why the solution works
Present a convincing mathematical argument
Look at areas of maths outside the one given in the original problem