Number and Numeration Systems · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.1.1.2.2 - Use the knowledge on sets and sets of factors of numbers to solve real life problems involving union and intersection

By the end of the lesson, learners can:

Identify the factors of given numbers and list the common factors of two numbers.
Represent information about two overlapping groups (such as farmers growing maize and rice) on a Venn diagram.
Use the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B) to solve problems involving the union and intersection of two sets.
Form and solve simple linear equations arising from real-life union and intersection problems.
Interpret the meaning of union and intersection in everyday situations and communicate their reasoning clearly.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number and Numeration Systems (1.1)
Content standard: B8.1.1.2 - Apply the concepts and vocabulary of sets on sets of factors of numbers to identify perfect squares, determine their square root and solve real life problems involving union and intersection of two sets
Indicator: B8.1.1.2.2 - Use the knowledge on sets and sets of factors of numbers to solve real life problems involving union and intersection
Suggested placement: Term 1, Week 5 (Week 5 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. 93
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Identify the set of factors of given numbers.
(i) List the factors of 42 and 36 and determine their common factors: The common factors: 1, 2, 3 and 6.
E.g. 2. Solve story and real-life problems involving union and intersection of sets
(i) There are 80 farmers in a certain village who grow maize and rice or both. Out of the 80 farmers, 50 grow maize and 60 grow rice.
(a) Represent the information on a Venn diagram.
(b) If x of them grows both crops, write an equation in x and solve for it.