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Topic: Algebraic Manipulation (Foundation - Unit 3)

Specification References: N5.6 N5.6 Derive a formula, substitute numbers into a formula.

Candidates should be able to:

• use formulae from Mathematics and other subjects expressed initially in words and then using letters and symbols; for example formula for area of a triangle, area of a parallelogram, area of a circle, wage earned = hours worked x hourly rate plus bonus, volume of a prism, conversions between measures
• substitute numbers into a formula

Notes

Questions in this unit will include geometrical formulae and questions involving measures.
Questions in Unit 2 will include formulae for generating sequences and formulae in words using a functional context; for example formula for cooking a turkey and formulae out of context; for example substitute positive and negative numbers into expressions such as 3x² + 4 and 2x³

Examples

1. To change a distance given in miles, m to a distance in kilometres, k we use this rule. First multiply by 8 then divide by 5. Write this rule as a formula and use it to change 300 miles into kilometres.

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