Inequalities and Inequations

March 12, 2023

Scheme of work: GCSE Higher: Year 10: Term 2: Inequalities and Inequations

Prerequisite Knowledge

Solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)
Plot graphs of equations that correspond to straight-line graphs in the coordinate plane;
Identify and interpret gradients and intercepts of linear functions graphically and algebraically

Success Criteria

Solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable;
Represent a solution set on a number line, using set notation and on a graph

Key Concepts

When representing inequalities on a grid, it is easier to plot the straight line first and then decide which side to shade.
Students need to have a secure understanding of the <, >, â‰¥, and â‰¤ notation for defining inequalities.
When multiplying or dividing an inequality by -1 the sign changes.
Solid boundary lines do include the value on the line. Dashed boundary lines do not.

Common Misconceptions

Students tend not to interpret the less than/greater and equal signs correctly
Confusion often lies in understanding the notation using empty and full circles on a number line.
Inequations are solved as individual values rather than sets.
Students often find it difficult to identify the correct region for linear and quadratic inequalities on a grid.

Inequalities and Inequations Resources

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