Making Predictions with Data

Curriculum details

Strand

Handling Data (Strand 4)

Sub-strand

Making Predictions with Data (4.2)

Content standard

3.4.2.CS.1 - Apply and extend the knowledge of the laws of probability and the concept of combination and permutation to solve real life problems involving conditional and binomial probability. 3.4.2.LO.1 Solve problems involving conditional probability using permutations and combinations. 3.4.2.LO.2 Use the concepts of permutation and combination to solve real life problems.

Indicator

3.4.2.LI.3 - Model and solve real life problems involving conditional probabilities.

Suggested placement

Semester 2, Week 17 (Week 37 of the year)

Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.

Source document note

The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

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Curriculum reference

NaCCA curriculum document, p. 557

Exemplars (from the NaCCA curriculum)

Project-based Learning, Talk for Learning, Think-pair-share, Experiential Learning and Group Work/Collaborative Learning.
Learning Experience: Learners work in mixed-ability groups to model conditional situations and solve examples of conditional probability.
Activity 1: Solving problems on conditional probability Learners discuss situations where conditional probabilities could arise, model some likely probabilities and solve problems relating to conditional probability.
Example: Two bags 𝑃 and 𝑄 contain 3 white, 4 green and 5 white and 2 green identical balls respectively. A ball is picked at random from bag 𝑃 and put into bag 𝑄. A ball is then picked at random from bag 𝑄. Find the probability that the ball drawn from bag 𝑄 is white.
Solution: = 𝑃(𝑊 } /𝑊 U ) or 𝑃(𝑊 } /𝐺 U ) 3 6 4 5 9 10 19 = × + × = + = 7 8 7 8 28 28 28
Teaching and Learning Resources:
- SHS curriculum calculators
Assessment (3.4.2.AS.3). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.