Ratio & proportion — Module 3: Direct & inverse proportion

This parent guide connects the page examples with a practical study routine. The current resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that setting, the learning summary and published prompts to agree what firm work should reveal.

Prepare a focused session

Read the title and learning focus side by side. Ask the learner to predict the understanding, vocabulary or method they may need. Scan each sample and spot instruction words, values, hints, conditions or unfamiliar terms. Agree a manageable time window, remove diversions and prepare suitable equipment such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an self-directed initial attempt so the work indicates firm understanding and uncertainty. A reflective pause often supports retrieval better than an immediate answer.

Make thinking visible

Invite the learner to restate the task in their own words. They can underline essential information, divide a complex problem into smaller steps, sketch a show, arrange support, rehearse a sentence or describe a planned method. Ask why their route fits and whether another method could work. When work stops, provide a staged hint: rephrase the goal, point towards a useful example, narrow the choice, then show only the next step. Return ownership directly afterwards. Spoken reasoning reveals confusions and practises precise subject language.

Check accuracy and understanding

Compare the attempt with visible answer guidance after honest effort. Inspect more than the final work: review the method, explanation, units, support, sequence, spelling or presentation where useful. Ask the learner to locate the initial point where their reasoning changed course. Complete corrections actively in a different colour or separate space, followed by a short note of the correction. For a correct answer, request support and one self-directed check. This separates confident understanding from guessing while strengthening accuracy, reflection and careful working habits.

Consolidate and extend

Finish with retrieval from memory. Cover the example and ask for the main idea, process or fact again. Create one small alternative by changing a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a related question and supply checking guidance. Record one success and one precise next step, perhaps returning to terminology, practising a calculation, adding support or developing clarity. Recheck that target again in the week because spaced review gives stronger information than immediate repetition.

The interactive player, downloadable file and complete answer material retain their existing access controls. The guide supports preparation, discussion and review.