Solving and Setting Up Equations

Scheme of work: GCSE Foundation: Year 10: Term 4: Solving and Setting Up Equations

Prerequisite Knowledge

  • Use simple formulae
  • generate and describe linear number sequences
  • express missing number problems algebraically
  • find pairs of numbers that satisfy an equation with two unknowns
  • use and interpret algebraic notation
  • simplify and manipulate algebraic expressions by:
    • collecting like terms
    • multiplying a single term over a bracket

Success Criteria

  • Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)
  • Solve two simultaneous equations in two variables algebraically;
  • Find approximate solutions to simultaneous equations in two variables using a graph;
  • Translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution.

Key Concepts

  • To solve an equation is to find the only value (or values) of the unknown that make the mathematical sentence correct.
  • For every unknown an equation is needed.
  • Students need to have a secure understanding of adding and subtracting with negatives when eliminating an unknown.
  • Coefficients need to be equal in magnitude to eliminate an unknown.

Common Misconceptions

  • Students can forget to apply the same operation to both sides of the equation, therefore, leaving it unbalanced.
  • Students often struggle knowing when to add or subtract the equations to eliminate the unknown. Review addition with negatives to address this.
  • Equations need to be aligned so that unknowns can be easily added or subtracted. If equations are not aligned students may add or subtract with non like variables.
  • Students often try to eliminate variables with their coefficients being equal

Solving and Setting Up Equations Resources

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