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# A starting point

Drag down the slider on the right, answering each question as you go.

# Part 1 – Simplifying expressions involving surds

Teacher resources for Part 1

**Teachers**: log in to access the following:

- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

- Skills drill worksheet 1 – Simplifying surds (15 questions on one side of A4; answers included)
- Skills drill worksheet 2 – Simplifying sums and products of surds (15 questions on one side of A4; answers included)
- Skills drill worksheet 3 – Manipulating surds (15 questions on one side of A4; answers included)

- Random Question Generator: Simplifying surds
- Random Question Generator: Simplifying sums and products of surds
- Random Question Generator: Manipulating surds

- Addition pyramid generator – suitable for use on an interactive whiteboard. Answers available.

Links to past exam and UKMT questions

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#### Geoboard activity

- By creating a square with an area of 2 square units and another square with an area of 8 square units, show that \(\sqrt{8}=2\sqrt{2}\).
- Can you create two squares to help illustrate that \(\sqrt{18}=3\sqrt{2}\)?
- Can you create two squares to help illustrate that \(\sqrt{20}=2\sqrt{5}\)?

# Part 2 – Rationalising denominators

Teacher resources for Part 2

**Teachers**: log in to access the following:

- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

**Teachers**: log in to access these.

In the real world

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