Transcript NYS Core Curriculum lesson 3 Equivalent Ratios

Math Module 1 Lesson 4
Equivalent Ratios
Exercise 1
• Decide whether or not each of the following
pairs of ratios are equal.
• 1. 6:11 and 42:88
• 2. 0:5 and 0:20
NYS Core Curriculum lesson 4
Equivalent Ratios
Exercise 2
In a bag of mixed walnuts and cashews, the ratio
of walnuts to cashews is 5:6. Determine the
amount of walnuts that are in the bag if there are
54 cashews. Use a tape diagram to support your
work. Justify your answer by showing that the
new ratio you created of number walnuts to
number of cashews is equivalent to 5:6.
Lesson 4 exercise 2 continued
• Walnuts
54
• Cashews
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54 divided by 6 equals 9.
5 times 9 equals 45.
There are 45 walnuts in the bag.
The ratio of walnuts to cashews is 45:54. That ratio is 5:6.
• 5:6 and 45:54
Problem set example 1
• 1. Use diagrams or the description of
equivalent ratios to show that the ratios 2:3,
4:6, and 8:12 are equivalent.
• 8:12
4:6
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• 8 is 2 times 4; 12 is 3 times 4
• The constant number, c, is 4.
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4 is 2 times 2; 6 is 3 times 2.
The constant number, c, is 2.
Problem set sample 2
• Prove that 3:8 is equivalent to 12:32.
• a. Use diagrams to support your answer.
– 12 is 3 times 4; 32 is 8 times 4
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• b. Use the description of equivalent ratios to support your answer.