JHS1 Mathematics · Term 1 Week 12: Number: Ratios and Proportion

Lesson notes

Learning Objectives

Indicator: B7.1.4.1.1 - Find ratio and use ratio language to describe relationship between two quantities.

By the end of the lesson, learners can:

Find the ratio of two given quantities by writing them as a fraction in simplest form and then as a ratio using the colon notation (e.g. 60:120 simplifies to 1:2).
Express two quantities as a ratio in the correct order, identifying which quantity is stated first and which is stated second.
Use ratio language such as “twice as many”, “half as many”, “three times as much” to describe the relationship between two quantities.
Distinguish between the two directions of a ratio relationship (e.g. for a ratio of 2:1, one quantity is twice the other, while the other is half the first).
Solve simple word problems that require finding a ratio and describing the relationship in words.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number: Ratios and Proportion (1.4)
Content standard: B7.1.4.1 - Demonstrate an understanding of the concept of ratios and its relationship to fractions and use it to solve problems that involve rates, ratios, and proportional reasoning
Indicator: B7.1.4.1.1 - Find ratio and use ratio language to describe relationship between two quantities.
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. 24
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1Determine ratio of given quantities.
i. There are 60 boys and 120 girls in a school. So the ratio of boys to girls in the school is 60 = 1 = 1:2) 120 2
E.g.2 Express two quantities as a ratio.
i. The ratio of wings to beaks in the bird house at the Kumasi Zoo is 2:1, because for every 2 wings there is 1 beak.
E.g.3 Describe quantities with ratio language.
i. The ratio of Musa to Alhasan's age is 1:2. If Alhasan is 50 years old and his son, Musa is 25 years old, we can say that
• Alhasan is twice as old as his son.
• Musa is half the age of his father.