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Students learn how to represent inequalities on a number line and solve an inequation using the balance method.

This unit takes place in Term 6 of Year 10 and follows on from solving equations.

- order positive and negative integers
- apply the four operations, including formal written methods, to integers, both positive and negative;
- solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation)

- solve linear inequalities in one variable;
- represent the solution set on a number line;
- understand and use the concepts and vocabulary of expressions, equations, formulae, identities and inequalities

- Knowledge of <,>, ≤ & ≥ notation is critical to this topic. Numbers which are less or greater than but not equal to are represented on a number line with a hollow circle. Full circles are used when an inequality can be equal to a number.
- Inequations have a set of solutions whereas equations have distinct solutions.
- Inequations can be solved using the balance method.
- When dividing or multiplying both sides of an inequality by a negative number the sign is reversed.

- Students are often confused with the direction of the inequality sign. Use the number line to show < represents less than and > means greater than.
- Inequalities such as 5 < x ≤ 10 represents x as any value greater than 5 and less than or equal to 10. Encourage students to read such inequalities in two directions i.e., 5 < x and x ≤ 10.

March 28, 2020

Distance learning unit of work on Probability.

This unit covers grades 3 to 5 of the U.K. National Curriculum.

March 22, 2020

With schools around the United Kingdom closed to most students it is important every child has access to engaging maths lessons through distance learning.

March 16, 2020

There are three common ways to organise data that fall into multiple sets: two-way tables, frequency diagrams and Venn diagrams. Having blogged about frequency diagrams before I thought I would write about how to draw a Venn Diagram to calculate probabilities. Recapping Two-Way Tables This activity works well to review two-way tables from the previous […]