Year 6 Maths Lesson Plan: Introduction to Algebra
Free Year 6 maths lesson plan introducing algebra: substituting values into expressions and solving simple equations. SATs-style problems and differentiation.
Learning objective
I can substitute values into simple algebraic expressions and solve one-step equations to find an unknown.
Key vocabulary
- expression
- equation
- variable
- substitute
- solve
Curriculum: National Curriculum 2014: Year 6 Mathematics — Algebra
Starter (5-10 minutes)
Show 3a + 5 with a = 4. Pupils calculate the value (17). Repeat with three more (e.g. 2b − 7 with b = 10 → 13). Discuss the meaning of substitute.
Main activity (35-40 minutes)
Introduce the difference between an expression (3a + 5) and an equation (3a + 5 = 17). Model solving 3a + 5 = 17 step by step using inverse operations. Pupils complete a five-question worksheet of one-step and two-step equations. Move to applying — 'I think of a number, multiply it by 4, then add 6, and get 30. What was my number?' Pupils form and solve the equation 4n + 6 = 30. Final task: write an equation for a partner to solve.
Differentiation
Support
Stick to substitution and one-step equations. Use number lines or function machines for visual support.
Core
Substitute and solve one-step and two-step equations. Apply to word-problem contexts.
Stretch
Solve equations with the unknown on both sides (e.g. 3a + 5 = 2a + 11) and word problems requiring forming the equation first.
Plenary (5-10 minutes)
Explain in their own words: what is the difference between an expression and an equation? Take three pupil responses to clarify.
Common misconception to watch for
Pupils sometimes treat letters as objects rather than placeholders for numbers (e.g. interpreting 3a as 'three apples'). Reinforce that 3a means 3 × a, where a is whatever number we are looking for.
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Generate this lesson freeFrequently asked questions
What is the learning objective of this Year 6 maths lesson?
I can substitute values into simple algebraic expressions and solve one-step equations to find an unknown.
How long does this introduction to algebra lesson take?
60 minutes, structured into a starter, main activity, and plenary. Differentiation guidance is included for support, core, and stretch learners.
Is this lesson plan free to download?
Yes. The full plan is free to read and adapt. You can also generate an editable, fully resourced version in TAyumira's free lesson planner — no credit card required.
Does this lesson cover the UK National Curriculum?
Yes. This plan aligns with National Curriculum 2014: Year 6 Mathematics — Algebra.
Can I edit this lesson plan for my class?
Yes. Use this as a template and adapt to your class context. To save typing time, generate a customised version in TAyumira's free planner — your class size, ability range, and lesson length are factored in automatically.