B5 Mathematics · Term 1 Week 7: Counting, Representation & Cardinality

Lesson notes

Learning Objectives

Indicator: B5.1.1.3.5 - Recognize relationship between factors and multiples of whole numbers from 1 to 100

By the end of the lesson, learners can:

State the relationship between a factor and a multiple of a given whole number from 1 to 100.
Determine whether a given number is a factor or a multiple of another number using multiplication and division facts.
Use divisibility tests for 2, 4, and 6 to identify multiples of these numbers up to 100.
Explain how the factors of a number generate its multiples and vice versa using correct mathematical language.
Solve simple problems involving factors and multiples within 100, justifying their reasoning.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Counting, Representation & Cardinality (1.1)
Content standard: B5.1.1.3 - Demonstrate an understanding of factors, multiples of numbers including composite, even, odd and prime numbers from 1 to 100
Indicator: B5.1.1.3.5 - Recognize relationship between factors and multiples of whole numbers from 1 to 100
Suggested placement: Term 1, Week 7 (Week 7 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 Curriculum for Primary Schools (Basic 4-6), 2019, p. 64
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Investigate even and odd numbers. How do you know a number is even or odd?
E.g. 2 Investigate numbers that are multiples of 4 and 6. How do you know a number is a multiple of 4? a multiple of 6? (This is also known as the divisibility test).
E.g. 3 Investigate perfect numbers, that is, numbers whose factors add up to the number; for instance 6 has factors 1, 2, 3 and 6. The sum of factors other than 6 is 1+2+3 =6, and hence 6 is a perfect number. How many more perfect number can we find in the first 100 whole numbers?