Exploring Ratios and Their Representations

This video tutorial explores the concept of ratios, explaining how they are a multiplicative comparison between two quantities. It covers different ways to represent ratios, including using words, colons, and fractions, and emphasizes the importance of simplifying ratios. The tutorial provides examples of part-to-part and part-to-whole relationships and demonstrates how to represent ratios using tables and graphs. It also includes practical examples, such as comparing buttons and stars, and extends to creating and interpreting ratio tables and graphs.

What is a ratio?

• A multiplicative comparison between two quantities describing different attributes.

• A multiplicative comparison between two quantities describing the same attribute.

• A subtractive comparison between two quantities.

• A division between two unrelated quantities.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How can ratios be represented?

• Only as fractions.

• Using words, colons, or as fractions.

• Solely through graphical representation.

• Exclusively with tables.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What does a part-to-part ratio compare?

• A part of a group to the whole group.

• Two unrelated groups.

• The whole group to a part of another group.

• Two parts within the same group.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of purple buttons to yellow buttons?

• 1 to 11

• 6 to 5

• 5 to 6

• 11 to 1

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the simplified ratio of total stars to purple stars?

• 12 to 3

• 4 to 1

• 3 to 12

• 1 to 4

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

In a ratio table, what does a scale factor do?

• Divides the quantities to find the original ratio.

• Extends the pattern by multiplying the quantities.

• Changes the ratio to a non-equivalent one.

• Simplifies the ratio to its lowest terms.

How can you find the total number of students from a given ratio?

• By multiplying the two parts of the ratio.

• By subtracting one part from another.

• By dividing one part by another.

• By adding the two parts of the ratio together.

If 36 students purchase their lunch, how many will bring their lunch?

• 20 students

• 24 students

• 16 students

• 12 students

Tags

CCSS.3.OA.A.3

What does a graph representing ratios typically show?

• The division of one quantity by another.

• The sum of two quantities over time.

• The multiplicative relationship between two quantities.

• The difference between two quantities.

Tags

CCSS.7.RP.A.2C

How many tablets need to be sold to earn 750 dollars, according to the graph?

• 10 tablets

• 5 tablets

• 3 tablets

• 15 tablets