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- Squares and square roots (review)
- Identify the hypotenuse of a right-angled triangle
- Determine whether a triangle is right-angled
- Calculate the hypotenuse of a right-angled triangle
- Calculate missing sides in right-angled triangles
- Use Pythagoras' theorem on coordinate axes
- Explore proofs of Pythagoras' theorem

For higher-attaining pupils:

- Use Pythagoras' theorem in 3-D shapes

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

- Pythagoras Basics A drill and practice self marking exercise on the basics of Pythagoras' theorem.
- Pythagoras An online exercise to test your understanding of and ability to apply Pythagoras' Theorem.
- Make Them Right Arrange the measurements next to the sides of the triangles so that each diagram is correct according to Pythagoras' Theorem.
- Pythagoras' Theorem Video The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
- Which Side? Arrange the diagrams in groups depending on whether the arrow is pointing to the opposite, adjacent or hypotenuse.
- 3D Trigonometry Presentation A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.
- Three Dimensional Trigonometry Video When you have mastered trigonometry in two dimensions it is time to practise solving three-dimensional problems.
- Square and Cube Roots Find square roots and cube roots by first calculating the prime factorisation of a number.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

Can you find three square numbers where the third is the sum of the first two?

Arrange the numbers 1-9 to make three 3 digit numbers that add up to 999.

Either estimate the lengths of the red lines or, if you know how, calculate how long they are.

Calculations involving hours and minutes based on the runing times of popular DVDs.

By how much would the area of this triangle increase if its base was enlarged to 8cm?

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.