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Algebraic manipulation

Algebraic manipulation

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Why this why now

This unit is the foundation for a lot of the generalisation done in this year, and is placed at the start of the year accordingly.

Prior knowledge requirements

  • Collect like terms and use basic algebra
  • Expand and factorise expressions
  • Substitute values into algebraic formulas

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Why this why now

This unit is the foundation for a lot of the generalisation done in this year, and is placed at the start of the year accordingly.

Prior knowledge requirements

  • Collect like terms and use basic algebra
  • Expand and factorise expressions
  • Substitute values into algebraic formulas

Algebraic manipulation

In algebraic manipulation, pupils use apply knowledge of the distributive law to find the product of two binomaials in order to factorise quadratics.

13 lessons in unit

  1. 1

    Checking and securing understanding of simplifying

    I can simplify expressions by collecting like terms.
  2. 2

    Checking and securing understanding of substitution

    I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes.
  3. 3

    Further algebraic terminology

    I can appreciate the difference between an equation, an identity, an expression, a term and a formula.
  4. 4

    Checking and securing understanding of expanding a single bracket

    I can use the distributive law to multiply an expression by a term.
  5. 5

    Checking and securing understanding of factorising

    I can use the distributive law to factorise expressions where there is a common factor.
  6. 6

    Checking and securing understanding of forming linear equations

    I can use a letter to represent a generalised number and form a linear equation from a context.
  7. 7

    Checking and securing understanding of solving and interpreting linear equations

    I can solve complex linear equations involving brackets.
  8. 8

    Checking and securing understanding of changing the subject

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

    Checking and securing understanding of the product of two binomials

    I can use the distributive law to find the product of two binomials.
  10. 10

    Factorising a quadratic expression

    I can factorise quadratics of the form x^2 + bx + c
  11. 11

    Factorising using the difference of two squares

    I can factorise quadratics of the form x^2 + bx + c including using the difference of two squares.
  12. 13

    Solving quadratic equations by factorising

    I can solve quadratic equations algebraically by factorising.
  13. 14

    Problem solving with algebraic manipulation

    I can use my knowledge of algebraic manipulation to solve problems.

Learn how you can make the best use of Oak resources

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Get more out of Oak