Plan a repair, check and consolidation sequence
This supporting guide turns a diagnosed difficulty into a short learning sequence. For the main Bukit Timah programme account, read the Bukit Timah Secondary 2 Mathematics tuition programme guide. Use the Secondary 2 Mathematics master index for the complete article directory.
Start with a piece of current schoolwork. Identify the first uncertain decision and choose a target small enough to check independently. A plan such as repair bracket expansion is more usable than improve all algebra.
Repair the reason behind the step
For 3(x − 2), the factor 3 multiplies both terms, giving 3x − 6. Ask the student to explain the two products, then compare 3(x + 2). The sign changes with the term inside the bracket.
If multiplying signed numbers is itself uncertain, check that prerequisite separately. The next task should address the observed difficulty rather than automatically advance to a longer equation.
Check without the worked solution
Cover the example and use 4(x − 3). The result is 4x − 12. Note whether the student can start independently and whether a hint supplies the method or only a calculation reminder.
A correct answer after help is progress, but it is different evidence from a fresh unprompted solution. Use that distinction to decide which support to reduce next.
Consolidate in a changed setting
Place expansion inside an equation such as 4(x − 3) = 8. Dividing by 4 first gives x − 3 = 2 and x = 5; expansion also works. Discuss both routes so the student can choose a valid method.
Return to a related question later among other taught topics. If the repaired step fails again, inspect where it changed before adding more volume.
Review one sequence before choosing another
Record the original error, the explanation, the fresh attempt and the later check. Keep the record brief enough to help the student use it.
Use the diagnosis pillar to choose the starting target, the revision pillar for follow-up and the Number and Algebra pillar for prerequisite connections.
