Linear Equations | Explain Every Step

Teach pupils to solve linear equations and explain why every step preserves equality. Worked models, independent practice and editable teaching slides for approximately ages 12–14, selected by readiness.

An actual model starts with 5x − 3 = 2x + 9. Subtract 2x from both sides, add 3, then divide by 3 to obtain x = 4. Substitution checks that both original sides equal 17. Pupils see the reason for the steps as well as the answer.

The 17-page pack covers like terms, linear brackets, two-step equations, variables on both sides, exact fractional solutions, one/no/all-real-number solution cases and contextual modelling. A readiness check and fraction gate help you choose a starting point. Includes guided work, independent practice, an exit task, home practice and separate worked answers.

Thirteen editable PowerPoint slides have teacher notes. Seven files in the ZIP: matching A4/US Letter colour/monochrome PDFs, the teaching PowerPoint, editable teaching text and START_HERE guidance. The four print editions repeat the same 17 pages.

Signed-number and fraction prerequisites apply. Selected linear skills, not a full curriculum; no quadratic teaching. Some slides model worksheet tasks, so those guided items are not unseen assessment. One-teacher use includes adaptation and secure sharing with that teacher’s pupils. No public redistribution or resale.

Questions or suggestions: support@openlatitude.net; quote LA04 v2.0 and the page/task or slide number, without pupil details.