JHS1 Mathematics · Term 1 Week 11: Fractions, Decimals and Percentages

Lesson notes

Learning Objectives

Indicator: B7.1.3.3.3 - Explain the process of dividing a fraction (i.e. common, percent and decimal fractions up to thousandths) by a 1-digit whole number and by a fraction.

By the end of the lesson, learners can:

Explain in their own words that division by a fraction means “how many times the fraction goes into the dividend” using concrete examples.
Divide a fraction by a 1-digit whole number by rewriting the whole number as a fraction and multiplying by the reciprocal.
Divide a fraction by another fraction using the reciprocal method, showing each step with clear reasoning.
Convert percent fractions (e.g. 25%) and decimal fractions (e.g. 0.25) into common fraction form before dividing.
Solve word problems involving division of fractions in everyday contexts, checking that their answers are reasonable.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions, Decimals and Percentages (1.3)
Content standard: B7.1.3.3 - Demonstrate an understanding of the process of multiplying and dividing positive fractions and apply this in solving problems
Indicator: B7.1.3.3.3 - Explain the process of dividing a fraction (i.e. common, percent and decimal fractions up to thousandths) by a 1-digit whole number and by a fraction.
Suggested placement: Term 1, Week 11 (Week 11 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. 22
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. To divide a whole number by a fraction, the division means 'how many times the fraction goes into the whole number' or the product of the fraction and which number makes 3? For instance, 3 ÷ 1 means 4
how many 1 s can be obtained in 3, or 4
3 = 1 × what? 4
The quotient can be obtained by multiplying both dividend by divisor the reciprocal of the divisor. For 3 ÷ 1 , the reciprocal of the divisor is 4 , 4 1
hence 3 ÷ 1 →(3 × 4 ) ÷ ( 1 × 4 ) = 12, and for 1 ÷ 3, the reciprocal of the
4 1 4 1 4
divisor is 1 , hence 1 ÷ 3→( 1 × 1 ) ÷ (3 × 1 ) = 1
3 4 3 4 3 12
Divide: 1. 5 ÷1 2 3
2. 5 ÷ 1 8 2