B6 Mathematics · Term 2 Week 7: Ratios and Proportion

Lesson notes

Learning Objectives

Indicator: B6.1.4.1.2 - Express ratios in equivalent forms, compare and order ratios

By the end of the lesson, learners can:

Express a given ratio as a fraction and in its simplest form.
Find equivalent ratios by multiplying or dividing both parts of the ratio by the same number.
Compare two or more ratios by converting them into equivalent fractions with the same denominator.
Order three or more ratios from smallest to largest, or largest to smallest.
Justify their reasoning when comparing ratios, explaining clearly which compare method they used and why it works.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Ratios and Proportion (1.4)
Content standard: B6.1.4.1 - Demonstrate understanding of the concept of ratios and its relationship to fractions and to the multiplication and division of whole numbers
Indicator: B6.1.4.1.2 - Express ratios in equivalent forms, compare and order ratios
Suggested placement: Term 2, Week 7 (Week 19 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. 135
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Use the concept of ratio as a fraction to find equivalent ratios that can be easily compared. The ratio 2:3 can be expressed as 2/3 ; to determine which ratio is larger/largest change to equivalent ratios with same denominator and compare or order. E.g. Afia, Bedu and Caro each mix orange squash (S) and water (W) in the ratio 3:14, 2:7 and 1:4 respectively. Whose drink tastes strongest of squash? To determine the one Whose drink tastes strongest of squash we need to have the same unit of water, hence Bedu's.
E.g. 2. Solve simple problems that involve simplifying, comparing, finding missing and total ratios. E.g. (i) Given that 10: q = 2 : 3, find q. (ii) The ratio of boys to girls in a class room is 7 to 11. If there are a total of 49 boys in the classroom, then how many boys and girls are there altogether?
E.g. 3. Solve simple problems that involve ratios and finding total ratios. E.g. (i) Out of 24 students in a class, 10 are girls. Find its simplest form the ratio of boys to girls. (ii) A boy's mass is 50kgs, and his sister's is 45kg. Find the ratio of their masses. (iii) If an orange drink is made from concentrate and water in the ratio 3:8, what fraction of the mixture is concentrate?