Shape and Space

Instant Maths Ideas are aimed at teachers of Key Stage Three but could also be appropriate for use with other age groups. The complete resource contains all 16 subject topics together with appropriate resource materials. Each topic has also been included as a separate resource for ease of use. Each topic contains a number of questions or activities designed as inspiration for starters, extension questions or probing questions, useful to supplement lesson plans. The ideas are accompanied by teachers' notes. Ideas for students to explore include the use of Heron’s formula for finding the area of a triangle, finding the average speed of Phileas Fogg as he travels around the world in 80 days and calculating the number of people that should, in theory, be able to fit inside a telephone box.

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Trigonometry

This resource consists of 15 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, requiring students to plot graphs of the trigonometric functions and explain their properties, explore Snell’s Law, convert gradients into angles, calculate the...

Pythagoras' Theorem

This resource consists of 23 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, asking students to: * investigate the area of tilted squares * explore whether Pythagoras’ theorem works for all triangles * find a proof for Pythagoras’ theorem *...

Loci and Constructions

This resource consists of 12 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, providing students with the opportunity to explore loci and constructions using physical activities, by solving problems such as the goat and the shed problem,...

3D Solids and Nets

This resource consists of 19 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, requiring students to: * name different solids * explore the cross sections of different solids leading to a definition of a prism * investigate polyhedral * draw...

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