Confident arithmetic
Order of operations: multiplication and division share a level
Understand brackets, multiplication, division, addition and subtraction with worked examples that avoid common BODMAS mistakes.
Read and practise →Maths learning pathway
Pre-algebra
Move from arithmetic to unknown numbers, expressions and equations.
Start with the first unfamiliar idea. Each guide has a worked example and a short practice check.
Before signed-number algebra
Negative numbers on a number line
Compare negative numbers and understand addition and subtraction as movement along a number line.
Read and practise →After arithmetic and unknown numbers
One-step equations: keep both sides equal
Solve one-step equations using inverse operations and check the answer by substituting it into the original equation.
Read and practise →From arithmetic to algebra
Number patterns: explain the rule
Describe number patterns, distinguish term position from term value and test a proposed rule against every given term.
Read and practise →More ways to practise
Grade-specific notes and practice
More ways to practise
Grade-specific guides from our course
- Grade 3 Missing Number Equations and the Equals Sign
- Grade 5 Writing Algebraic Expressions from Words
- Grade 5 Coordinates in the First Quadrant
- Grade 8 Substitution in Algebraic Expressions
- Grade 8 Expanding Brackets and Collecting Like Terms
- Grade 8 Algebraic Identities with Area Models
- Grade 8 Factorising Expressions: Common Factors and Identities
- Grade 8 Gradient from Two Points: Rise over Run
- Grade 8 Straight-Line Graphs: y = mx + c
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