Solving two-step linear equations using the balancing method

A complete lesson on solving two step equations of the form ax+b=c, ax-b=c, a(x+b)=c and a(x-b)=c using the balancing method. Designed to come after pupils have solved using a flowchart/inverse operations.

Activities included:

Starter:
A few substitution questions to check pupils can correctly evaluate two-step expressions, followed by a prompt to consider some related equations.

Main:

• A slide to remind pupils of the order of operations for the four variations listed above.
• Four example-problem pairs of solving equations, to model the methods and allow pupils to try.
• A set of questions for pupils to consolidate, and a suggestion for an extension task. The questions repeatedly use the same numbers and operations, to reinforce the fact that order matters and that pupils must pay close attention.
• A more interesting, challenging extension task in the style of the Open Middle website.

Plenary:
A set of four ‘spot the misconception’ questions, to prompt a final discussion/check for understanding.

Printable worksheets and answers included.

Please review if you buy as any feedback is appreciated!