Reach for the Star

Probability pathway and repair · Optional extension

L076 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Two fair dice are rolled. Find P(at least one six).

Reveal a worked check after attempting

1−P(no six)=1−(5/6)²=11/36.

Deep challenge

A bag with 3 red and 2 blue is drawn twice without replacement. Are the events independent? Show with probabilities.

Reveal a worked check after attempting

No. P(red first)=3/5, while P(red second given red first)=2/4=1/2.

Recall & Review: feedback and extension integration

Lesson L076: Probability pathway and repair

Objective: Select a probability representation and repair common errors.

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: Two fair dice are rolled. Find P(at least one six).

Deep challenge: A bag with 3 red and 2 blue is drawn twice without replacement. Are the events independent? Show with probabilities.