Number and Numeration System · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.1.2.1 - Solve problems on relationship between members of the rational number system using knowledge and understanding of the concept of union and intersection of two sets.

By the end of the lesson, learners can:

Classify given numbers as natural, whole, integer, rational, or irrational numbers, stating the relationships among these sets.
Represent the relationship between two sets from the number system using a Venn diagram.
Find the union (A ∪ B) and intersection (A ∩ B) of two given sets drawn from the rational number system.
Use Venn diagrams to solve problems involving classification of numbers, such as determining which numbers belong to both sets or to either set.
Apply union and intersection of sets to solve simple real-life problems involving classification of items or people into two categories.

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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: B9.1.1.2.1 - Solve problems on relationship between members of the rational number system using knowledge and understanding of the concept of union and intersection of two sets.
Suggested placement: Term 1, Week 2 (Week 2 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. 166
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Use sets diagrams to show the relationship among the Real numbers namely

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions. Visible labels, values, and notation include: Irrational numbers (Q'); Rational numbers (Q); Integers (Z); Whole numbers (W); Natural or Counting numbers; (N); Q; R.

-Irrational numbers (Q I )
-Rational numbers (Q)
- Integers (Z)
-Whole numbers (W)
-Natural or Counting numbers (N)
E.g. 2 Write the factors of 12 and 15 and represent them on a Venn diagram.

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: Factors of 15; 2; 4; 6; 12; 3; Factors of 12; 5; 15.

12={1, 2, 3, 4, 6, 12} 15={1, 3, 5, 15}