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.5 - Model and solve real life problems involving permutation and combination.

Suggested placement

Semester 2, Week 19 (Week 39 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:

• exemplars - p.561: adjacent duplicated CambriaMath characters were collapsed, but this PDF also maps some equation glyphs to the wrong letter or operator; verify every mathematical expression in this row against the rendered page

Curriculum reference

NaCCA curriculum document, p. 561

Exemplars (from the NaCCA curriculum)

Group work, Talk for Learning, and Building on what others say.
Learning Experience: Learners in groups model and solve problems involving permutation and combination.
Activity 1: Fundamental counting principles Learners in pairs describe the fundamental counting techniques and principles for the outcomes of some experiments and state the number of ways each can be performed.
Example 1: If a sports club decides to elect a chairman and a secretary from 5 members, assuming the same person cannot hold both positions, find the number of ways this can be done?
Solution: Thus, number of ways of choosing a chairman = 5 And the number of ways for choosing a secretary = 4 =5×4 = 20
Example 2: The Department of Vehicle and Licensing Authority designs the registration of each car with 2 letters from 𝐸, 𝑅, 𝐺, 𝑇 and 3 digits from 1,4,5,6 on a given day. From the prescribed solution, how many cars can be registered on that day under the required arrangement?
Solution: Firstly, how many 2-letter arrangements can be formed from the 4 letters, 𝐸, 𝑅, 𝐺, 𝑇? ,! This is 4𝑃 ) = (,*))!
4! = = 12 2! Similarly, arranging 3 digits from the digits 1,4,5,6 is 4𝑃 " 4! 4𝑃 " = (4 − 3)!
4! = 1! = 24
Teaching and Learning Resources:
- SHS curriculum calculators
Assessment (3.4.2.AS.5). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding.