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.1 - Explain the concepts that give rise to conditional probabilities.

Suggested placement

Semester 2, Week 15 (Week 35 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. 555

Exemplars (from the NaCCA curriculum)

Project-based Learning, Talk for Learning, Think-pair-share, Experiential Learning and Group Work/Collaborative Learning.
Learning Experience: Work individually/in pairs in mixed-ability gender groups to identify the set of real numbers with the aid of models, including the number line.
Activity 1: Learners use Talk for Learning to discuss two events from the same experiment and also from two different experiments. Find the probability of two events both from the same experiment and also from two different experiments using the idea of combination or selection. Example 1: A bag contains 7 black and 2 white identical marbles. Another bag contains 1 white and 5 black of the same marbles. A boy selects one marble from the selected bag. Find the probability that a black marble is selected.
Possible solution: 𝑃( 𝐵 𝑚 ) = = 𝑃(𝑒ℎ𝑒 𝑏) × [ 𝑃(𝑏 𝑓 1𝑠 𝑏) ∪ 𝑃(𝑏 𝑓 2𝑛 𝑏) 1 7𝐶 ! 5𝐶 ! = × + 2 9𝐶 ! 6𝐶 ! 1 7 5 = ×[ + ] 2 9 6 1 29 = × 2 18 29 = 36
Activity 2: Learners in groups model similar examples and solve them.
Teaching and Learning Resources:
- SHS curriculum calculators
Assessment (3.4.2.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.