Lesson Notes By Weeks and Term v4 - SHS 2

MAKING PREDICTIONS WITH DATA

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  2. Lesson Notes By Weeks and Term v4
  3. SHS 2
  4. MAKING PREDICTIONS WITH DATA

Subject: Additional Mathematics

Class: SHS 2

Term: 2nd Term

Week: 20

Grade code: 2.4.2.LI.3

Strand code: 4

Sub-strand code: 2

Content standard code: 2.4.2.CS.2

Indicator code: 2.4.2.LI.3

Theme: HANDLING DATA

Subtheme: MAKING PREDICTIONS WITH DATA

Lesson Video

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Performance objectives

Lesson summary

In our daily lives in Ghana, we are constantly faced with choices. From selecting the subjects to write for WASSCE, to a coach picking a starting lineup for the school's football team, to the market woman deciding which vegetables to display at the front of her stall. Combinations are a powerful mathematical tool that helps us count the number of ways we can select a group of items when the order of selection does not matter. While this topic falls under "Making Predictions," understanding how to count all possible outcomes (the sample space) is the fundamental first step before we can calculate the probability or likelihood of any specific outcome occurring.

Lesson notes

A. The Core Idea: What is a Combination?

The most important question in this topic is: Does the order matter? Permutation: Order matters. If we are awarding 1st, 2nd, and 3rd prizes to Ama, Bismark, and Charles, the arrangement (Ama, Bismark, Charles) is different from (Bismark, Ama, Charles). Combination: Order does not matter. If we are selecting a 3-person team from Ama, Bismark, and Charles, the team {Ama, Bismark, Charles} is exactly the same team as {Bismark, Ama, Charles}.

In this lesson, we are focused on Combinations, where we are simply selecting a group, and the order of selection is irrelevant. B. The Combination Formula

The number of ways to choose *r* items from a set of *n* distinct items is given by the formula:

Evaluation guide