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G5 Proportion

The document outlines a Grade 5 mathematics lesson focused on ratios and proportions, detailing learning objectives and key concepts. It provides practical examples of how to calculate ingredient amounts for recipes based on proportional relationships. Additionally, it includes exercises involving real-life scenarios such as payments, map distances, and fuel consumption to reinforce understanding of the topic.

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aleksandra.puzyk
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11 views10 pages

G5 Proportion

The document outlines a Grade 5 mathematics lesson focused on ratios and proportions, detailing learning objectives and key concepts. It provides practical examples of how to calculate ingredient amounts for recipes based on proportional relationships. Additionally, it includes exercises involving real-life scenarios such as payments, map distances, and fuel consumption to reinforce understanding of the topic.

Uploaded by

aleksandra.puzyk
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Mathematics

Grade five
Week 5
Ratio and Proportion

2024-2025
Ratio and Proportion

Learning Objectives (Unit 11 and 17)


1. Understand the relationship between two quantities when they are in direct proportion.
2. Use knowledge of equivalence to understand and use equivalent ratios.

Key Words
relationship, proportional, two quantities, increase, decrease, constant ratio
equivalence, ratios, simplify, compare, proportion, same value
Proportion
Noor is making cookies.
Here is a list of ingredients to make 8 cookies.
Noor wants to make 24 cookies.
How much of each ingredient does she need?
8 cookies 24 ÷ 8 = 3
• 200g flour She needs 3 times more the amount of each ingredient
• 30g sugar • 600g flour
• 50g butter • 90g sugar
• 140ml milk • 150g butter
• 1 egg • 420ml milk
• 3 eggs
Proportion
Ryan is making pizza.
Here is a list of ingredients to make 1 pizza (8 slices).
Ryan wants to calculate how much should he
use to make 2 slices.
8 slices
8÷2=4
• 200g flour She needs 4 times less the amount of each ingredient.
• 60g mozzarella • 50g flour
• 20g pepperoni • 15g mozzarella
• 80ml milk • 5g pepperoni
• 96ml tomato • 20ml milk
sauce • 24ml tomato sauce
Proportion
Helen is making cake.
Here is a list of ingredients to make 2 kg of cake.
Helen wants to calculate how much should
she use to make 3 kg of cake.
2 kg Cake 3
3 ÷ 2 = = 1.5
• 250g flour 2
She needs 1.5 times more the amount of each ingredient
• 40g sugar
• 375g flour
• 80g butter
• 60g sugar
• 150ml milk
• 120g butter
• 2 egg
• 225ml milk
• 3 eggs
Ratio and Proportion

Let’s practice
Workbook
pp. 57-58
Proportion
Jack and Harry are waiters in a restaurant.
They are both paid the same amount of money
for each working hour.

Jack worked 4 hours and is paid £56.


Harry worked 5 hours.
How much money is Harry paid?

How much does 1 hour cost? £56 ÷ 4 = £14

Harry is paid: 14 × 5 = £70


Proportion
On a map, 1 cm represents 3 kilometers.
The distance between two towns is 18 kilometers.
On the map, what is the distance between the two towns?
÷
1 cm ×– 3 km
𝑥 𝑐𝑚 = 18 × 1 ÷ 3 = 6 𝑐𝑚
x cm – 18 km
(in one column is the same unit)
Proportion
A boat is 12 meters long and 8 meters tall.
Victoria makes a scale model of the boat.

Her model is 20 centimeters tall.


20 cm
How long is her model?
÷
8 m – 20 cm 12 × 20
× 𝑥= = 30 𝑐𝑚
12 m – x cm 8
Proportion
A car can travel 90 miles on 2 gallons of fuel.

1) How far can it travel on 16 gallons of fuel?

2) If it travels 450 miles, how many gallons of fuel did it use?


÷
90 miles – 2 gal 5 × 90
× 𝑥= = 35 × 30 = 1050 𝑚𝑖𝑙𝑒𝑠
x miles – 5 gal 2

(in one column is the same units)

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