Ratios and Proportion · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.1.4.2.1 - Use models to explain proportion as a comparison between quantities with equal ratios

By the end of the lesson, learners can:

Use mapping diagrams to show that two equal ratios form a proportion.
Identify proportional and non-proportional mappings by comparing ratios.
Write a proportion as an equation of equal fractions (e.g. 3/12 = 4/16) and as equal ratios (e.g. 3:12 = 4:16).
Explain in their own words why two quantities are proportional, giving a brief justification.
Use proportions to find a missing quantity in a simple real-life context.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Ratios and Proportion (1.4)
Content standard: B6.1.4.2 - Understand the concept of proportion and its relationship to ratios and rates. Use proportional reasoning and rates to solve real- world and mathematical problems.
Indicator: B6.1.4.2.1 - Use models to explain proportion as a comparison between quantities with equal 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. 136
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Use mapping diagram to explain the concept of proportion as equal fractions or equivalent ratios. The mapping diagram shows that the ratio of number of goats to number of legs are equal, hence the number of goats is proportional to the number of legs. The proportion can be written as equal fractions or ratios, i.e. 3/12 = 4/16 or 3:12 = 4:16
E.g. 2. Give learners mappings to identify those that are proportional and those that are not
E.g. 3. Work out proportion in given contexts and use them in solving problems; e.g. 200 bottles of equal capacity hold 350 litres of water. How much water does each bottle hold?