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Expressions and formulae

Expressions and formulae

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Why this why now

This unit builds on solving linear equations from year 7 where pupils learnt to rearrange aan equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula. Pupils are then introduced binomial equations in preparation for trigonometry.

Prior knowledge requirements

  • Simplify algebraic expressions
  • Use substitution in expressions and formulas
  • Rearrange formulas involving one or more steps

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Why this why now

This unit builds on solving linear equations from year 7 where pupils learnt to rearrange aan equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula. Pupils are then introduced binomial equations in preparation for trigonometry.

Prior knowledge requirements

  • Simplify algebraic expressions
  • Use substitution in expressions and formulas
  • Rearrange formulas involving one or more steps

Expressions and formulae

This unit develops pupil understanding of formulae and how to rearrange them. Pupils will learn how to recognise and manipulate binomials and learn to recognise the difference of two squares.

12 lessons in unit

  1. 1

    Checking and securing understanding of the distributive law with algebraic terms

    I can use the distributive law to multiply an expression by a term.
  2. 2

    Checking and securing solving linear equations

    I can solve equations involving brackets.
  3. 3

    The product of two binomials

    I can use the distributive law to find the product of two binomials.
  4. 4

    Difference of two squares

    I can use the special case when the product of two binomials is the difference of two squares.
  5. 5

    More complex binomial products

    I can find more complex binomial products.
  6. 6

    Additive relationships

    I can appreciate that an additive relationship between variables can be written in a number of different ways.
  7. 7

    Multiplicative relationships between terms

    I can appreciate that a multiplicative relationship between variables can be written in a number of different ways.
  8. 8

    Changing the subject with simple formula

    I can apply an understanding of inverse operations to a simple formula in order to make a specific variable the subject.
  9. 9

    Changing the subject with more complex formula

    I can apply an understanding of inverse operations to a complex formula in order to make a specific variable the subject.
  10. 10

    Changing the subject to suit the context

    I can evaluate different problems to ascertain when rearranging a formula is beneficial.
  11. 11

    Evaluating expressions with and without changing the subject

    I can evaluate an expression where the subject has been changed and where it has not.
  12. 12

    Problem solving with expressions and formulae

    I can use my knowledge of expressions and formulae to solve problems.

Learn how you can make the best use of Oak resources

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Get more out of Oak