Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

These are the Transum resources related to the statement: "Pupils should be taught to calculate exactly with fractions, {surds} and multiples of π ; {simplify surd expressions involving squares [for example √12 = √(4 × 3) = √4 × √3 = 2√3] and rationalise denominators}".

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

- Fractionagons Calculate the missing fractions in these partly completed arithmagon puzzles.
- In Terms of Pi Circle related questions requiring the answer to include a multiple of pi rather than an approximation.
- Surds Learn that a surd is an irrational number and how to simplify expressions including surds. This video is to help you do the online exercise.
- Surds A self-marking exercise on calculating, simplifying and manipulating surds (also known as radicals).

Here are some exam-style questions on this statement:

- "
*A circular dart board has radius of 30 cm.*" ... more - "
*(a) Express \( \sqrt{5} + \sqrt{20} \) in the form \( a \sqrt{5} \) where \(a\) is an integer.*" ... more - "
*(a) Write this list of numbers in order, smallest first.*" ... more - "
*The cosine of acute angle \( \alpha \) is \( \frac{1}{ \sqrt 5} \)*" ... more

Here are some Advanced Starters on this statement:

**Seventeen Camels**

Explain the mathematics of the classic ninteenth century fraction sharing story. more**Single Fraction**

Simplify an expression involving fractions, exponents and a square root. more**Test Scores**

Explore the misconception that when adding fractions you add both the numerators and the denominators 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.