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All 16 lessons in Formulae

Builds on: A4

  1. 1. Formulae – Vocabulary & Concrete Substitution

    Define key algebraic terms (expression, equation, formula) and evaluate expressions by substituting positive integers using concrete visual models.

  2. 2. Formulae – Substitution with Multi-Terms & BIDMAS

    Substitute positive integers into expressions requiring strict order of operations, including multi-variable terms and brackets.

  3. 3. Substitution

    Substitute positive integers into expressions requiring strict order of operations (BIDMAS).

  4. 4. Substitution with Fractions and Powers

    Evaluate algebraic expressions containing powers (e.g., a² vs (3a)²) and substitute fractional values accurately.

  5. 5. Formulae as General Rules

    Translate worded real-life rules into symbolic formulae and evaluate them.

  6. 6. Algebra - Formulae as General Rules

    Translate worded real-life rules into symbolic formulae and evaluate them.

  7. 7. Writing Geometric Formulae

    Write simplified formulae for the perimeter of regular and irregular polygons, and evaluate them.

  8. 8. Generating Sequences from Formulae

    Use formulae as "function machines" to generate tables of values and identify the common difference.

  9. 9. Algebra - Writing Formulae from Complex Contexts

    Create algebraic formulae for complex real-world scenarios involving multiple variables and averages.

  10. 10. Setting Up & Solving Linear Equations

    Turn a geometric formula into an equation by substituting a known total value, then solve for the unknown variable.

  11. 11. Solving Equations from Real-Life Formulae

    Substitute a known total into a real-life formula to set up an equation, then use inverse operations to solve for the unknown variable.

  12. 12. Algebra - Introduction to Rearranging (Changing the Subject)

    Rearrange simple linear formulae using inverse operations to make a new variable the subject.

  13. 13. Rearranging with Brackets & Fractions

    Change the subject of linear formulae involving large fractions and brackets by peeling away the outer operations first.

  14. 14. Rearranging Non-Linear Formulae

    Change the subject of a formula when the variable is squared or under a square root.

  15. 15. Applied Kinematics

    Substitute into and rearrange physics kinematics formulae, comparing two methods of solving for an unknown variable.

  16. 16. Algebra - Rich Applications & Reasoning (Unit Synthesis)

    Apply unit skills to multi-step problems, including complex geometric perimeters, data-fitting, and analyzing common algebraic misconceptions.

Unit code A5