Exploring Ratios and Their Applications

The video tutorial introduces the concept of ratios, explaining how to compare two or more quantities using different methods. It covers part-to-part, part-to-whole, and whole-to-part comparisons using shapes like triangles, circles, and squares. The tutorial emphasizes not simplifying ratios and provides various ways to express them, such as using colons, words, or fractions.

What is a ratio?

• A type of graph

• A mathematical operation

• A type of fraction

• A comparison of two or more quantities

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CCSS.6.RP.A.1

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Which of the following is an example of a part-to-part ratio?

• 10 to 1

• 3 to 3

• 10 to 4

• 3 to 10

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CCSS.6.RP.A.1

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How many ways can you write a part-to-part ratio?

• Three

• Two

• One

• Four

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CCSS.6.RP.A.1

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Which of the following is NOT a correct way to write the ratio 3 to 3?

• 1/1

• 3 to 3

• 3:3

• 3/3

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CCSS.6.RP.A.1

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When writing a ratio, should you ever simplify it?

• It depends on the context

• Only sometimes

• No, never

• Yes, always

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CCSS.6.RP.A.1

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What is the part-to-whole ratio of circles to total shapes if there are 3 circles and 10 total shapes?

• 3 to 7

• 3 to 3

• 10 to 3

• 3 to 10

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CCSS.6.RP.A.1

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How can you write the part-to-whole ratio of 3 circles to 10 total shapes?

• 3:10

• 3/10

• 3 to 10

• All of the above

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CCSS.6.RP.A.1

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What is the whole-to-part ratio of total shapes to squares if there are 10 total shapes and 4 squares?

• 4 to 10

• 3 to 10

• 10 to 3

• 10 to 4

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Which of the following is a correct way to write the whole-to-part ratio of 10 total shapes to 4 squares?

• All of the above

• 10/4

• 10 to 4

• 10:4

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the total number of shapes if the whole-to-part ratio is 10 to 4?

• 10

• 4

• 14

• 6