Starter quiz
- Factorise the expression:
- '(x - 3)(x + 2)' ✓
- Factorise the expression:
- '(x + 4)(x + 5)' ✓
- Factorise the expression:
- '(x-2)(x-2)' ✓
- Factorise the expression:
- '(x - 5)(x + 5)' ✓
- Factorise this expression:
- ✓
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- Factorise the expression:
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- ✓
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Exit quiz
- Factorise the expression
- '(2x + 3)(2x - 5)' ✓
- Factorise the expression
- '(3x - 4)(x + 2)' ✓
- Factorise the expression
- '(3x + 2)(2x - 3)' ✓
- Factorise the expression
- '(x + 2)(5x + 3)' ✓
- Factorise the expression
- '(x - 3)(2x + 5)' ✓
- Factorise the expression
- '(x + 7)(7x - 7)' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- For these cases, there are restrictions on how you decompose the x term.
- Using the area model can show why this is.
- By considering the structure, you can deduce how to decompose the x term.
Common misconception
Believing the constants in the binomials must sum to the coefficient of x and multiply to the constant in the quadratic.
Use an area model to show what is happening when the coefficient of x^2 is not 1. Pupils should always check their answers by expanding.
Keywords
Factorise - To factorise is to express a term as the product of its factors.
Quadratic - A quadratic is an equation, graph, or sequence whereby the highest exponent of the variable is 2
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