Fractions, Decimals and… · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.1.3.1.1

By the end of the lesson, the learner can:

Identify the numerator and denominator of a given fraction and shade a given fraction of a shape accurately.
Generate at least three equivalent fractions for any given fraction by multiplying or dividing the numerator and denominator by the same number.
Simplify any given fraction to its lowest terms and convert between improper fractions and mixed numbers.
Add and subtract fractions with different denominators by finding a common denominator.
Multiply fractions by multiplying numerators and denominators, and divide fractions by multiplying by the reciprocal.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Fractions, Decimals and Percentages (1.3)
Content standard: B8.1.3.1 - Apply the understanding of operation on fractions to solve problems involving fractions of given quantities and round the results to given decimal and significant places.
Indicator: B8.1.3.1.1 - Review fractions and solve problems involving basic operations on fractions
Suggested placement: Term 1, Week 12 (Week 12 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. 102
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

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: E.g. 1. Review the concept of fractions.

E.g. 1. Review the concept of fractions.
i. Shade given fraction of squares in a shape or find the fraction shaded in the shape: i.e. shade 3 of the rectangle. 4
ii. Write down 3 fractions equivalent to 2 . 3
iii. Express the fraction 6 in its simplest form. 10
iv. Express 12 as a mixed number. 5
v. Express 2 5 t as an improper fraction. 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) 4 - 1
4 8 5 6
ii. Multiplying and dividing fractions. Work out answers to the following:
a) 2 × 3 b) 5 ÷2 1
3 4 8 2