Direct Proportion Equations | I Do, We Do, You Do | Year 10 Maths Foundation | Print Free

Teach pupils to use and interpret direct proportion equations with an editable, print-free Year 10 Maths Foundation lesson. Bring clear modelling, mini-whiteboard checks and substantial practice together in one PowerPoint, with answers ready to reveal.

FROM EQUATIONS TO MEANING
Build confidence with equations of the form y = kx, including decimal and fractional multipliers. Pupils find either variable, interpret hourly rates and calculate pay or time worked. Recognition questions mix proportional and non-proportional equations so pupils must consider the structure of each rule, rather than assume that every equation represents direct proportion.

WHAT IS INCLUDED
• One editable 68-slide PowerPoint with answers.
• Six retrieval questions and six prerequisite questions, each with grouped answers.
• Key vocabulary and an explanation of forward and reverse operations.
• A compact I Do / We Do page with three matched pairs and space for teacher working.
• Paired modelling solutions for decimal multipliers, fractional multipliers and rates of pay.
• Twenty individual AFL questions, each immediately followed by its answer.
• A 28-question whole-class practice page covering calculations, pay, fractional multipliers and recognising direct proportion.
• One-page answers for the full practice set.
• Eighteen differentiated questions across Developing, Secure and Greater Depth, plus one Super Challenge on the same slide.
• One-page differentiated answers and a separate worked challenge explanation.
• Two misconception checks with explanations.
• An original seven-mark exam-style question with worked answers.
• Three exit questions, each followed by its answer.

DEPTH THROUGH REASONING
Developing tasks secure forward and reverse calculations with whole-number, decimal and fractional multipliers. Secure tasks apply equations to pay, changes in quantities and recognising proportional rules. Greater Depth asks pupils to test claims, distinguish direct proportion from a squared relationship, examine a discounted price and recover an equation from a change in its variables.

A CHALLENGE THAT REWARDS UNDERSTANDING
If the hourly rate rises by 25% while hours worked fall by 25%, does pay stay the same? Pupils justify their conclusion, then find the reduction in hours that would preserve the original pay. The solution explains why equal percentage increases and decreases do not simply cancel.

PRINT FREE AND READY TO TEACH
Project the lesson and use mini whiteboards or exercise books. All differentiated levels and the challenge remain visible together, with a clear divider separating the challenge. Pupils can work from the screen without copying grids or needing worksheets. The editable format lets you adapt examples and pacing to your class.

Year 10 Unit 17, lesson 1, U640: Interpreting Direct Proportion Equations. For GCSE Foundation teaching and revision. Original questions and suggested exam marks. Created by Beyond Printables.