Linear equations — six-task follow-up set
Grade 8 learners after a lesson on one- and two-step equations
- Lesson summary: inverse operations, checking by substitution, common sign errors
- Six tasks
- Mixed response types
1. Recall
State the inverse operation of subtracting 7. Response: short answer. Evidence: names addition. Difficulty: foundation. Review: accept equivalent wording.
2. Complete a worked example
Fill the missing transformation in 3x + 5 = 20. Response: input. Evidence: preserves equality. Difficulty: foundation. Review: inspect notation.
3. Short explanation
Explain why the same operation is applied to both sides. Response: extended answer. Evidence: equality is preserved. Difficulty: developing. Review: teacher checks reasoning, not keywords alone.
4. Application
Model and solve a fictional ticket-cost scenario. Response: equation plus solution. Evidence: correct representation and units. Difficulty: developing. Review: accept another valid variable choice.
5. Error correction
A learner changes −4x = 12 to x = 3. Find and correct the error. Response: explanation. Evidence: recognises division by −4. Difficulty: secure. Review: check explanation and corrected value.
6. Reflection
Which step still needs practice, and what check will you use next time? Response: reflection. Evidence: actionable next step. Difficulty: metacognitive. Review: do not grade confidence as accuracy.
