Setting up and Solving Equations

Scheme of work: Key Stage 3: Year 7: Term 6: Setting up and Solving Equations

Prerequisite Knowledge

  • use and interpret algebraic notation, including:
    • ab in place of a x b
    • 3y in place of y + y + y and 3 x y
    • a2 in place of a x a, a3 in place of a x a x a; a2b in place of a x a x b
    • a/b in place of a x b
    • Coefficients are written as fractions rather than decimals
  • simplify and manipulate algebraic expressions to maintain equivalence by:
    • collecting like terms
    • taking out common factors

Key Concepts

  • Students should use a scale to visualise how it remains balanced when solving equations.
  • A secure understanding of the order of operations and inverse operations is needed to keep an equation balanced.
  • By solving the equation you find the value of the unknown number.
  • When forming equations students often become confused with using brackets.
  • An equation can have a positive or negative solution which could be presented as a simplified fraction rather than a decimal.

Working Mathematically

  • Develop fluency
    • Move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]
    • Develop algebraic and graphical fluency, including understanding linear and simple quadratic functions.
  • Reason mathematically
    • Identify variables and express relations between variables algebraically
    • Make and test conjectures about patterns and relationships; look for proofs or counter-examples
  • Solve problems
    • Begin to model situations mathematically and express the results using a range of formal mathematical representations.

Subject Content

  • Algebra
    • Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
    • Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

Setting up and Solving Equations Resources

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