2D shapes
Identify and name 2D shapes and find angles in kites and parallelograms
3D shapes
Identify 3D shapes and find faces, edges and vertices of prisms
Add and subtract decimals
Add and subtract decimals using the column method
Add and subtract fractions
Add and subtract fractions and mixed numbers including word problems
Addition and subtraction
Add and subtract two and three-digit numbers using the column method including borrowing
Angle facts
Angles on a straight line, on a point and vertically opposite angles
Angles in triangles
Find angles in triangles including right-angled, isosceles and rectangle problems
Angles with algebra
Solve angle problems using algebra in triangles, parallel lines and shapes
Area of compound shapes
Calculate area of compound shapes including rectangles, triangles and missing parts
Area of rectangles and triangles
Calculate area of rectangles, triangles and parallelograms
Area of trapezia
Calculate area of trapezia and find missing sides using the trapezium formula
Averages from a list
Find mean, median, mode and range from a list of numbers
Averages from a stem and leaf diagram
Find mode, median and range from stem and leaf diagrams
Averages from a table
Find mean, median and mode from frequency tables including grouped data
Bar charts
Draw and compare bar charts including composite and comparative
Best buys
Find the cheapest shop and best value item
Change the subject
Rearrange formulae to change the subject of equations
Circle area
Calculate the area of circles from the radius and diameter
Circle circumference
Calculate the circumference of circles from the radius and diameter
Collect like terms
Simplify expressions with including terms with powers and coefficients
Compare with ratios
Convert ratios and fractions including unit ratios and part comparisons
Congruence
Identify congruent shapes and prove congruent triangles
Construction and loci
Construct triangles, bisectors, and loci using ruler and compass methods
Convert fractions, decimals, percentages
Convert between fractions, decimals and percentages
Coordinates
Find and plot coordinates on graphs in all quadrants
Density
Calculate density, mass and volume using the density formula
Direct proportion
Solve direct proportion problems including recipes, exchange rates and exchange rates
Distance-time graphs
Interpret distance-time graphs to find speed, distance and average speed
Division
Divide numbers including powers of 10, short division (bus stop) and long division methods
Enlargements
Enlarge and describe enlargements using positive integer scale factors
Equations of straight-line graphs
Use gradients and y-intercepts to find y = mx + c
Estimate with scatter graphs
Draw and use the line of best fit to estimate values
Estimation
Estimate answers using facts, fractions and square roots in calculations
Expand linear expressions
Expand and simplify brackets
Expand quadratic expressions
Multiply out quadratic brackets then simplify
Experimental probability
Use experimental probability to calculate frequencies and expected outcomes
Exterior angles
Find exterior angles of polygons and use them to determine number of sides
Factorise linear expressions
Factorise common factors including numbers, letters or both
Factorise quadratic expressions
Factorise x^2 + bx + c
Factors and multiples
Find factors, multiples and prime numbers
Fraction of an amount
Find fractions of amounts and solve fraction worded problems
Fractions
Work with fractions including shading, simplifying, comparing and ordering
Frequency tables
Create and interpret frequency tables including grouped data and totals
Function machines
Use function machines including forward and inverse operations with numbers and letters
Gradients
Find gradients of straight-line graphs
HCF and LCM
Find highest common factors and lowest common multiples
HCF and LCM from prime factors
Find HCF and LCM using prime factorisation and Venn diagrams
Increase and decrease by percentage
Use percentages to Increase and decrease values and calculate simple interest
Inequalities on a number line
Show inequalities on number lines and interpret ranges of values
Interior angles
Find the interior angles of polygons and the number of sides
Inverse proportion
Solve inverse proportion problems from worded questions
Laws of indices
Apply laws of indices to simplify, multiply, divide and work with powers
Line charts and histograms
Draw and interpret line graphs and histograms (frequency diagrams)
Multiplication
Multiply numbers using the column method including two-digit numbers
Multiply and divide decimals
Multiply and divide decimals including worded problems and short division methods
Multiply and divide fractions
Multiply and divide fractions including mixed numbers and integers
Negative and fractional enlargements
Enlarge shapes using positive fractions and negative scale factors
Negative and fractional indices
Simplify expressions with negative and fractional powers using index laws
Negative numbers
Add, subtract, multiply and divide directed numbers
Order decimals
Order decimals using a place value grid
Order fractions, decimals, percentages
Convert then order fractions, decimals and percentages
Order of operations
Apply BIDMAS/BODMAS/PEDMAS to calculations
Parallel lines
Alternate, corresponding, interior angles and vertically opposite angles
Patterns and sequences
Find terms and rules in sequences including linear, Fibonacci and exponential patterns
Percentage change and reverse
Percentage increase, decrease, profit and reverse percentages
Percentages
Find and shade percentages of quantities and on square grids
Percentages of amounts
Find percentages using calculator and non-calculator methods
Perimeter
Calculate perimeter of rectangles, triangles, parallelograms and compound shapes
Pictograms
Read, complete and interpret pictograms using keys and scale values
Pie charts
Draw and interpret pie charts to find frequencies and data values
Place value
Understand place value, convert words and digits and form numbers from given digits
Plot non-linear graphs
Plot quadratic, cubic, reciprocal and exponential functions
Plot straight-line graphs
Draw linear graphs using the y-intercept and gradient
Powers and roots
Calculate powers and roots including squares, cubes and cube roots
Pressure
Calculate pressure, force and area using the pressure formula
Probability from events
Find probabilities using mutually exclusive events and frequency trees
Probability from outcomes
List outcomes and use sample space diagrams to calculate probability
Probability scale
Use probability words and show probabilities on a scale
Product of prime factors
Write numbers as a product of prime factors using index form and factor trees
Pythagoras theorem
Use Pythagoras' theorem to find missing sides and recognise triples
Real-life graphs
Interpret real-life graphs including gradients, intercepts and time series data
Reflections
Reflect and describe reflections using a mirror line
Repeated percentage change
Calculate compound interest and depreciation
Rotations
Rotate and describe rotations using direction and turns
Rounding
Round numbers to significant figures, decimal places and nearest power of 10
Rounding error
Find error intervals using rounding to estimate maximum and minimum bounds
Scale
Use scale factors to create scale drawings and find real lengths from maps
Scatter graphs
Plot scatter graphs and identify correlation
Share ratios
Share amounts using ratios including two-part and three-part ratios from totals
Similarity
Use similar triangles to find missing lengths using scale factors
Simplify algebraic products
Simplify algebraic products by multiplying variables, coefficients and negatives
Simplify ratios
Simplify ratios including decimals, different units and 3-part ratios
Simultaneous equations
Solve simultaneous equations using graphs and elimination
Solve 1-step equations
Solve one-step equations including multiplication, division and fractions with x
Solve 2-step equations
Solve two-step equations and inverse function machine problems
Solve 4-part equations
Solve multi-step equations including brackets and four-term expressions
Solve inequalities
Solve inequalities including 3-part and bracketed expressions
Solve quadratic equations
Solve quadratic equations including factorising and algebraic forms
Speed
Calculate speed, distance and time including average speed and unit conversions
Standard form calculations
Multiply, divide, add and subtract standard form
Standard form conversions
Convert to and from standard form
Stem and leaf diagrams
Draw stem and leaf diagrams including decimals and back-to-back displays
Substitution
Substitute values into expressions including positive and negative integers
Surface area of non-prisms
Find the surface area of pyramids, cones and spheres
Surface area of prisms
Calculate surface area of prisms and cylinders including using nets
Symmetry
Identify lines of symmetry and planes of symmetry in 2D and 3D shapes
The nth term
Find nth term rules and use linear sequences to generate or check terms
Translations
Translate and describe translations using vectors
Trigonometry
Use sine, cosine and tangent to find angles and side lengths in triangles
Two-way tables
Complete and interpret 2-way tables, timetables and distance tables
Units of area and volume conversion
Convert units of area and volume including square and cubic measurements
Venn diagrams
Complete Venn diagrams, sort sets, and find probability
Volume of non-prisms
Calculate the volume of pyramids, cones and spheres
Volume of prisms
Calculate the volume of prisms and cylinders
Write formulae
Write and interpret formulae including expressions and relationships between variables