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Programme Of Study For Key Stage 4 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to simplify and manipulate algebraic ex^{2} + bx + c, including the difference of 2 squares; {factorising quadratic ex^{2} + bx + c} and by simplifying ex

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

- Algebraic Fractions A mixture of algebraic fraction calculations and simplifications.
- Algebraic Notation Simplification using the normal conventions of algebra.
- Collecting Like Terms Practise your algebraic simplification skills with this self marking exercise.
- How old was Diophantus? An ancient riddle which can be answered by solving an equation containing fractions.
- Indices A self marking exercise on indices (powers) including evaluating statements and solving equations.

Here are some exam-style questions on this statement:

- "
*Simplify then find the square root of this expression:*" ... more - "
*Work out the exact value of \(n\).*" ... more - "
*(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)*" ... more - "
*(a) Simplify the following expression.*" ... more - "
*(a) Without using a calculator, show that \(\sqrt{28}=2\sqrt7\)**The point \(X\) is shown on the unit grid below. The point \(Y\) is \(\sqrt17\) units from \(X\) and lies on the intersection of two grid lines. Mark one possible position for \(Y\).*" ... more - "
*Factorise the following expression*" ... more - "
*The expression below can be written as a single fraction in the form \( \frac{a-bx}{x^2-25} \) where \(a\) and \(b\) are integers.*" ... more

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