Reach for the Star

Cumulative checkpoint 6 and feedback · Optional extension

L080 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A class interval width 6 has frequency 27. Find density, then expected frequency for width 10 at the same density.

Reveal a worked check after attempting

Density=4.5; frequency=45.

Deep challenge

Explain why a single experimental probability estimate may change when more trials are added.

Reveal a worked check after attempting

Relative frequency varies with outcomes; more trials can refine but do not guarantee the same estimate.

Recall & Review: feedback and extension integration

Lesson L080: Cumulative checkpoint 6 and feedback

Objective: Apply probability and statistics with earlier number and algebra.

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 used my working and assessment evidence to identify the exact mathematical step that was secure and the specific misconception that needs attention.

Even Better If (EBI)

I will correct one precise step, explain why the correction works and complete a fresh delayed question without the original scaffold.

Stretch and deep challenge

Stretch: A class interval width 6 has frequency 27. Find density, then expected frequency for width 10 at the same density.

Deep challenge: Explain why a single experimental probability estimate may change when more trials are added.