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These are the Transum resources related to the statement: "Pupils should be taught to simplify and manipulate algebraic expressions to maintain equivalence by:

- collecting like terms

- multiplying a single term over a bracket

- taking out common factors

- expanding products of two or more binomials".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Algebraic Perimeters Questions about the perimeters and areas of polygons given as algebraic expressions.
- Algebragons Find the missing expressions in these partly completed algebraic arithmagon puzzles.
- Collecting Like Terms Video If you have forgotten what collecting like terms means watch this video for a quick refresher.
- Collecting Like Terms Practise your algebraic simplification skills with this self marking exercise.
- Brackets Levels 1 and 2 Learn how to remove brackets from simple algebraic expressions. This video is to help you do the online, self-marking exercise.
- Brackets Levels 3 to 5 Learn how to multiply the terms inside a pair of brackets by the term outside. This video is to help you do the online, self-marking exercise.
- Brackets Levels 6 to 8 Expand a pair of brackets using the clown's face method. This video is to help you do the online, self-marking exercise.
- Brackets Levels 9 and 10 The final video showing how algebraic expressions containing brackets can be simplified.
- Brackets Expand algebraic expressions containing brackets and simplify the resulting expression in this self marking exercise.
- Algebraic HCF Exercises providing practice finding the highest common factor of algebraic expressions.
- Algebraic LCM Exercises providing practice finding the lowest common multiple of algebraic expressions.
- Factorising Practise the skills of algebraic factorisation in this structured online self marking exercise.
- Pascal's Triangle Get to know this famous number pattern with some revealing learning activities

Here are some exam-style questions on this statement:

- "
*The diagram shows an isosceles triangle (not drawn to scale).*" ... more - "
*Multiply out and simplify:*" ... more - "
*Two rectangles, not drawn to scale, are shown below. All measurements are in centimetres. Both rectangles have the same areas. Work out the perimeter of the rectangle on the left.*" ... more - "
*(a) Simplify \( \left(\dfrac{3a}{a^3 - 3}\right)^0 \)*" ... more - "
*Expand and simplify the following expression:*" ... more

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

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.