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.2 - Describe the probability of two equally likely events occurring from given experiments.

Suggested placement

Semester 2, Week 16 (Week 36 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. 556

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 gender groups to establish that, for any two equally likely events, A and B, the probability that B will occur given that A has occurred is given by 𝑃(𝐵 ∩ 𝐴) 𝑃(𝐵/𝐴) = 𝑃(𝐴)
Activity 1: Conditional Probability Learners work in groups to perform a simple activity or experiment and describe the probability of two likely events occurring. An example is the probability of a Aduana Star scoring better in the next match as they have a former Olympian for a coach.
Definition: Given two events A and B, the probability of event B occurring, given that event A has occurred, is a conditional probability 𝑃(𝐵/𝐴), which is given by; 𝑃(𝐵 ∩ 𝐴) 𝑃(𝐵/𝐴) = 𝑃(𝐴)
Example 1: There are a total 40 students in a science class, out of which 15 are girls and 20% of the boys wear spectacles. Find the probability that a student selected at random from the class is a boy who wears spectacles.
Solution: ). P(selecting a boy) = 𝑃(𝐴) = ,(
)( P(spectacle/boy) =𝑃(𝐵/𝐴) = !((
We want to find the probability of selecting a boy who wears spectacles, which is given by
𝑃(𝐵 ∩ 𝐴) = 𝑃(𝐴) × 𝑃(𝐵/𝐴)
25 20 1 𝑃(𝐵 ∩ 𝐴) = × = 40 100 8
Teaching and Learning Resources:
- SHS curriculum calculators
Assessment (3.4.2.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.