Problem Solving Ks3

Please use the attached curriculum review sheets to access further details of the maths curriculum in KS3.

Each topic is linked to a Mathswatch page, providing a video demonstration of key concepts, and interactive and downloadable questions.

Encourage students to begin by trying specific numbers and recording carefully what they have done.

Encourage them to notice what happens when they change the numbers and to try to explain their findings.

You could conclude the lesson with a plenary in which the students talk about what they have found out.

They may notice patterns to do with odd and even numbers and interesting results, such as that the sum of the square numbers is always twice the sum of the circle numbers.

There is no reason why a good calculator, purchased now, should not last through to the end of GCSE.

Students should also have a geometry set containing pencil, ruler, eraser, pair of compasses and a protractor.

Arithmagons (also known as addagons) are polygons with a circle number placed at each vertex and a square number on each side so that each square number is the sum of the two adjacent circle numbers.

Finding the missing square numbers in a triangular arithmagon when the circle numbers are given just involves addition, but finding the square numbers when the circle numbers are given is much more challenging.

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