Solving Simultaneous Equations Using Substitution | I Do, We Do, You Do | Year 10 Maths print-free L

Teach simultaneous equations using substitution with a complete Year 10 maths lesson. This 50-slide PowerPoint follows an I Do, We Do, You Do sequence, moving pupils from explicit modelling to supported practice and independent success. It is print-free, so there are no worksheets to prepare, photocopy or collect.

The lesson develops the complete substitution process: identifying an isolated variable, substituting an equivalent expression into the second equation, solving the resulting linear equation, returning to find the other unknown and checking the ordered pair in both original equations. Examples include equations already written as y = ax + b or x = ay + b, systems that need rearranging first, brackets, negative values and fractional or decimal solutions. The mathematical sequence aligns with Sparx U757.

Carefully modelled I Do examples make each algebraic decision visible. The We Do section uses structured prompts and staged solutions so pupils can contribute without losing the thread of the method. You Do practice builds fluency through graduated question sets: 8 Developing, 8 Secure and 5 Greater Depth questions, followed by a substantial Super Challenge. This creates meaningful differentiation within one coherent lesson rather than separate worksheets or disconnected tasks.

Assessment for learning is built into the sequence. Retrieval and prerequisite checks reveal whether pupils can rearrange equations, substitute accurately and handle signs before the main learning begins. Mini-checks, hinge-style questions, staged reveals and opportunities to explain choices help you judge when to model again, continue together or release pupils to independent work. Complete answers support immediate feedback, self-assessment and efficient whole-class review.

Common misconceptions are addressed explicitly. The deck highlights replacing the whole variable term with an expression, using brackets correctly, preserving negative signs, simplifying like terms, solving the one-variable equation accurately and substituting back. Verification in both equations is treated as part of the method, not an optional extra. Pupils also encounter dependent systems and contextual questions, strengthening their understanding of what a solution represents.

Worked solutions use the repeatable stages Identify, Build and calculate, and Interpret and check. Concise text and progressive reveals keep attention on the mathematics. Display the editable PowerPoint and use mini-whiteboards or exercise books: no printing is required.

What is included:
• Editable 50-slide PowerPoint lesson
• I Do, We Do, You Do teaching sequence
• Print-free differentiated practice
• 8 Developing, 8 Secure and 5 Greater Depth questions
• Substantial Super Challenge extension
• AFL checks and misconception prompts
• Fully worked solutions and complete answers
• Sparx U757-aligned progression