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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 - "
*(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 A and lies on the intersection of two grid lines. Mark one possible position for \(Y\).*" ... more - "
*Factorise the following expression*" ... more

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