Number and place value
- Reading, writing, ordering and comparing numbers to 10,000,000
- Calculating intervals across zero
Calculating
- Multiplying four-digit numbers by two-digit numbers using long multiplication
- Dividing four-digit numbers by two-digit numbers using long division
- Identifying common factors, common multiples and prime numbers
- Solving multi-step problems involving all four operations
Fractions, decimals and percentages
- Simplifying fractions
- Comparing and ordering fractions
- Adding and subtracting fractions with different denominators
- Multiplying pairs of proper fractions, giving the answer in its simplest form
- Dividing proper fractions by whole numbers
- Multiplying and dividing numbers by 10, 100 and 1000
- Multiplying one-digit numbers with up to two decimal places by whole numbers
- Using written division methods in cases where the answer has up to two decimal places
Ratio and propotion
- Finding percentages of amounts
- Solving problems involving shapes and scale factors
Algebra
- Using simple formulae
- Generating and describing linear number sequences
- Express missing number problems algebraically
- Find pairs of numbers that satisfy an equation with two unknowns
Measurement
- Converting between units of measurement, using decimal notation up to three decimal places
- Working out the perimeter and area of shapes (including parallelograms and triangles)
- Working out the volume of cubes and cuboids
Geometry
- Drawing a 2D shape using given dimensions and angles
- Finding unknown angles in any triangle, quadrilateral and regular polygon
- Illustrating and naming parts of circles, including radius, diameter and circumference
- Recognising angles where they meet at a point, are on a straight line or are vertically opposite
- Plotting coordinates on all four quadrants
- Drawing and translating simple shapes on the coordinate plane and reflecting them in the axes
Statistics
- Interpreting and constructing pie charts and line graphs and use these to solve problems
- Calculating and interpreting the mean as an average