Number: Ratios and Proportion · JHS3 Mathematics

Lesson notes

Learning Objectives

Indicator: B9.1.4.1.1

By the end of the lesson, learners can:

Define a proportional relationship and identify the constant of proportionality (unit rate) from a given relationship.
Write an equation in the form y = kx to represent a proportional relationship between two quantities.
Translate word problems involving proportional relationships into algebraic equations.
Use a written equation to calculate an unknown value when given one quantity and the constant of proportionality.
Distinguish between proportional and non-proportional situations and justify why an equation is or is not proportional.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number: Ratios and Proportion (1.4)
Content standard: B9.1.4.1 - Apply the understanding of ratio, rate and proportions to solve problems that involve rates, ratios, and proportional reasoning and use it to solve real- world mathematical problems.
Indicator: B9.1.4.1.1 - Represent proportional relationships by equations.
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. 175
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 If total cost (t) is proportional to the number of items (n) purchased at a constant price (p), the relationship between the total cost and the number of items can be expressed as t = pn.