Fractions, Decimals and… · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.3.1.1 - Review fractions and solve problems involving basic operations on fractions

By the end of the lesson, learners can:

Represent a given fraction by shading the correct portion of a shape and identify equivalent fractions from a diagram.
Generate equivalent fractions for a given fraction by multiplying or dividing the numerator and denominator by the same number.
Simplify a fraction to its lowest terms and convert between mixed numbers and improper fractions accurately.
Add and subtract fractions with different denominators, including mixed numbers, using the lowest common denominator method.
Multiply and divide fractions, including mixed numbers, and express answers in simplest form.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions, Decimals and Percentages (1.3)
Content standard: B9.1.3.1 - Apply the understanding of operations on fractions to solve problems involving fractions of given quantities and round the results to given decimal and significant places
Indicator: B9.1.3.1.1 - Review fractions and solve problems involving basic operations on fractions
Suggested placement: Term 1, Week 10 (Week 10 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. 172
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Review the concept of fraction.

Wide colour labelled teaching diagram uses vertical divisions, coloured regions. The wide colour labelled teaching... — A wide colour labelled teaching diagram uses vertical divisions, coloured regions. The wide colour labelled teaching diagram is arranged with vertical divisions, coloured regions.

i. Shade the fraction of squares in the rectangle that is equal to the shaded portion of the circle.
ii. Write down 3 fractions equivalent to 2 5
iii. Express the fraction 15 in its simplest form: 15 10 10
iv. Express 12 as a mixed number: 12 5 5
v. Express 2 5 as an improper fraction: 2 5 9 9
E.g. 2. Review the basic operations on fractions.
i. Adding and subtracting fractions: Work out answers to the following:
a) 3 + 7 b) 1 1 + 4 - 5
4 8 2 5 6
ii. Multiplying and dividing fractions. Work out answers to the following:
a) 2 × 3 - 3 b) 5 ÷ 2 1 + 2
3 4 8 8 2 3