Several tasks all based on a WJEC GCSE question about forming and solving a quadratic equation for the area of two rectangles. These tasks are designed to improve students’ mathematical reasoning and were created as part of the Mathematical Reasoning at GCSE project run by Cambridge Maths Hub.
The tasks vary in difficulty, and include forming expressions for various areas and perimeters, expressing proportional relationships, numerical and algebraic ratio tables and identifying reasonable assumptions. They are not intended to be used all together; just pick and choose one or two suitable ones for your class.
Thanks to JustMaths for the collection of exam questions by topic where I found the original question.
A similar set of tasks on a different application of quadratic expressions can be found here: https://www.tes.com/teaching-resource/probability-reasoning-tasks-11839057 and there is a more numerical approach to compound area in these tasks: https://www.tes.com/teaching-resource/compound-area-reasoning-tasks-11838514
All feedback very welcome. I’d be really interested to hear which tasks you chose and how you used them!
Recommended by Mr Barton. Just what I was after, fabulous thanks!
Looks really good - thanks!
Thank you. This will really help my students who are struggling to understand area algebraically
A wonderful resource that will feature in October's Resource of the Week on the TES Maths Blog here https://www.tes.com/teaching-resources/blog/maths. Thanks so much for sharing!
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.