Reach for the Star | GCSE Mathematics

L050: Sample spaces and systematic lists

Objective

List outcomes systematically and calculate probabilities from sample spaces.

Calculator: Non-calculator core; calculator optional only for checking where labelled.

Visual model for Sample spaces and systematic lists
Points route: Connect 2 · Share 2 · Apply 6 · Review 3 · Stretch 2 · Deep Challenge 3. Record your score honestly after you have checked your answer.

Recall

Retrieve the key fact or method needed for sample spaces and systematic lists.

Core practice

Two fair dice are rolled. Count the outcomes with a sum of 9 and find the probability.

Reasoning

A learner lists (1,3) and (3,1) as one outcome when two distinct dice are rolled. Explain the effect.

Exam-style

Solve an exam-style problem involving sample spaces and systematic lists. Show working, include a check and interpret your answer.

WWW / EBI

Recall & Review: feedback and extension integration

Lesson L050: Sample spaces and systematic lists

Objective: List outcomes systematically and calculate probabilities from sample spaces.

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 represented the outcomes systematically, used the correct probability rule and checked that the probabilities or frequencies were consistent.

Even Better If (EBI)

I will show the sample space, branch or set reasoning explicitly, state any dependence or condition and check totals before giving the final probability.

Stretch and deep challenge

Stretch: Two fair dice are rolled. Count the outcomes with a sum of 9 and find the probability.

Deep challenge: A learner lists (1,3) and (3,1) as one outcome when two distinct dice are rolled. Explain the effect.