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

- 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

- 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.

- 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.

- 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

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Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.