Number and Numeration System · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.1.2.2 - Apply the concept of sets to solve problems on relationship between members of rational number system and solve real life problems involving union and intersection of two sets

By the end of the lesson, learners can:

Draw and correctly label a Venn diagram to represent the union and intersection of two sets from a real life problem.
Use the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B) to find the number of elements in the union of two sets.
Solve word problems involving two sets where some elements belong to both sets, finding the number in each region of the Venn diagram.
Identify which elements belong to the intersection and which belong to only one set in problems drawn from everyday situations.
Communicate their reasoning clearly when presenting solutions to set problems, explaining each step in the process.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number and Numeration System (1.1)
Content standard: B9.1.1.2 - Demonstrate an understanding of the relationship between members of the rational number system and solve real life problems involving union and intersection of three sets
Indicator: B9.1.1.2.2 - Apply the concept of sets to solve problems on relationship between members of rational number system and solve real life problems involving union and intersection of two sets
Suggested placement: Term 1, Week 3 (Week 3 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.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 167
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Create and solve real life problems to show the union and intersection of two sets.
i. There are 80 farmers in a certain village who grow either maize or beans. Fifty of them grow beans while sixty grow maize. If each farmer grows at least one of the two crops, represent the information on a Venn diagram and hence find the number of farmers who grow:
a. both crops.
b. only one crop.