JHS1 Mathematics · Term 2 Week 2: Number: Ratios and Proportion

Lesson notes

Learning Objectives

Indicator: B7.1.4.1.5

By the end of the lesson, learners can:

Define percentage as a rate per 100, and explain what it means to find a percent of a quantity.
Convert a percentage given in a word problem into a fraction with denominator 100 (e.g., 35% = 35/100).
Find a given percent of a quantity by multiplying the quantity by the fraction, and write the answer with appropriate units (e.g., GHS, learners, litres).
Solve at least two real-life word problems involving commission, discount, and simple interest using the percent-as-fraction method.
Use proportional reasoning to check whether a percent answer is reasonable (e.g., 10% of GHS 450 is GHS 45, so 40% should be GHS 180).

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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: B7.1.4.1.5 - Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30 times the quantity). 100
Suggested placement: Term 2, Week 2 (Week 14 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.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

indicator text - p.26: the document sets the rate as a stacked fraction 30 over 100, which flattens to '30 times the quantity). 100'; read '30/100 times the quantity'
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 26
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

i. A salesman gets paid 35% commissions. How much commission does he make on sales of GH₵700?
ii. Yaw paid GH₵80 for a shirt that was on sale at a discount of 20%. What was the original price?
iii. A cell phone which regularly sells for GH₵450 is on sale for 40% off. How much would you pay for the phone?
iv. A woman put GH₵520 into a savings account for one year. The rate of interest on the account was 6%. How much was the interest for the year?