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Expressions and equations

Expressions and equations

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Why this why now

This unit is a natural extension of the number work in the previous units. We are now seeking to generalise patterns and behaviours that were first seen in the number units taught before, and pulling in key skills such as factorisation and multiplication of brackets as part of algebraic manipulation.

Prior knowledge requirements

  • Simplify algebraic expressions
  • Solve linear equations and substitute values
  • Rearrange and manipulate formulas

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Why this why now

This unit is a natural extension of the number work in the previous units. We are now seeking to generalise patterns and behaviours that were first seen in the number units taught before, and pulling in key skills such as factorisation and multiplication of brackets as part of algebraic manipulation.

Prior knowledge requirements

  • Simplify algebraic expressions
  • Solve linear equations and substitute values
  • Rearrange and manipulate formulas

Expressions and equations

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

17 lessons in unit

  1. 1

    Checking understanding of expressions and equations

    I can generalise a situation using words to express what is happening.
  2. 2

    Securing understanding of expressions and equations

    I can manipulate a simple equation using a bar model.
  3. 3

    Representing a generalised number

    I can use a letter to represent a generalised number.
  4. 4

    Algebraic notation

    I can use the particular conventions of algebraic notation and understand that following these aids clear communication.
  5. 5

    Algebraic terminology

    I can correctly identify: term, coefficient, factor, product, expression, formula, identity and equation.
  6. 6

    Representing an unknown or variable

    I can recognise that a letter can be used to represent a specific unknown or a variable and know the difference.
  7. 7

    Generalised algebraic statements

    I can use relationships that have been generalised using algebraic statements.
  8. 8

    Substituting particular values

    I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes.
  9. 9

    Like terms

    I can identify like terms in an expression, generalising an understanding of unitising (equality).
  10. 10

    Simplifying by collecting like terms

    I can simplify expressions by collecting like terms.
  11. 11

    Multiplying an expression by a constant

    I can use the distributive law to multiply an expression by a constant.
  12. 12

    Multiplying an expression by a term

    I can use the distributive law to multiply an expression by a term.
  13. 13

    Multiplying and simplifying with multiple expressions

    I can use the distributive law to multiply multiple expressions by their respective terms and then simplify by collecting like terms
  14. 14

    Simplifying before multiplying with multiple expressions

    I can recognise when I can simplify before multiplying expressions by their respective terms.
  15. 15

    Highest common factor with algebraic terms

    I can identify the highest common factor of two (or more) algebraic terms.
  16. 16

    Factorising expressions

    I can use the distributive law to factorise expressions where there is a common factor
  17. 17

    Problem solving with expressions and equations

    I can use my knowledge of expressions and equations to solve problems

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak