Reach for the Star

Proportion problems and repair · Optional extension

L016 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Four workers complete a job in 15 hours at constant rate. How long would six workers take?

Reveal a worked check after attempting

4×15/6=10 hours.

Deep challenge

Explain why doubling workers may fail to halve time in a real job.

Reveal a worked check after attempting

The inverse model assumes equal productivity and no coordination limits; those assumptions may fail.

Recall & Review: feedback and extension integration

Lesson L016: Proportion problems and repair

Objective: Select and justify a proportion method. Diagnose whether the given amount is a total, a share or a difference.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I selected a suitable representation or multiplier and kept the reference amount clear.

Even Better If (EBI)

I will state the whole/part, show each operation and check that the size of my answer is reasonable.

Stretch and deep challenge

Stretch: Four workers complete a job in 15 hours at constant rate. How long would six workers take?

Deep challenge: Explain why doubling workers may fail to halve time in a real job.