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

Teach solving simultaneous equations using elimination with a complete, print-free Year 10 maths lesson built around explicit instruction, careful variation and responsive assessment. This fully editable PowerPoint follows a clear I Do, We Do, You Do sequence, taking pupils from recognising matching coefficients to confidently multiplying equations, eliminating a variable, substituting back and checking both values.

Aligned to Sparx Maths code U760, the lesson covers the full elimination progression: subtracting when equal coefficients have the same sign; adding when coefficients are opposites; multiplying one or both equations; using the lowest common multiple; equations of the form ax − by = c; and systems with negative solutions.

A six-question retrieval starter checks solving equations, substitution, expansion and collecting like terms. Precise vocabulary establishes solution pairs, substitution, elimination, coefficients and verification. A connection slide shows why a valid pair must satisfy both equations.

Three I Do models demonstrate subtraction, addition and multiplication before elimination. Two We Do examples support guided explanation and checking. A six-question board slide uses the established 3-column by 2-row structure: teacher models across the top and matched pupil questions underneath, with generous writing space and complete solutions.

Six mini-whiteboard AFL checks cover choosing an operation, solving, matching coefficients, substitution and verification. Every question has an immediate answer-and-reasoning slide for live diagnosis and correction.

Minimally different practice explores changing constants, switching the sign of a matching term, multiplying one equation and multiplying both equations. Adjacent questions vary one significant feature so pupils notice structure.

Independent practice provides 8 Developing, 8 Secure and 5 Greater Depth questions, plus a substantial Super Challenge. Tasks progress from direct elimination to fractional solutions, construction, dependent systems and proof of uniqueness. Pupils design three systems with the same solution but different elimination methods, then solve, verify and justify them.

Key features:
• 50 fully editable PowerPoint slides
• Print-free whole-class delivery
• I Do, We Do, You Do teaching sequence
• 8 Developing, 8 Secure and 5 Greater Depth questions
• Substantial Super Challenge
• Frequent mini-whiteboard AFL
• Explicit misconception diagnosis and correction
• Complete answers, reasoning and mark guidance
• Sparx Maths U760 alignment

Designed to reduce planning and printing without reducing mathematical depth, this resource gives teachers everything needed to model, question, assess, differentiate and extend elimination in one coherent lesson for confident GCSE work.