Understanding Ratios and Percentages

The video tutorial, set in a park, covers lesson 2.1 on comparing and scaling. It explains the differences between ratios and fractions, using examples like classroom gender ratios and fish populations in lakes. The lesson also covers converting these into percents and understanding part-to-part and part-to-whole relationships. The tutorial concludes with class preferences for tacos and pizza, demonstrating how to convert percentages into ratios.

What is the learning target for today's lesson?

• I can memorize mathematical formulas.

• I can understand the history of mathematics.

• I can solve complex equations.

• I can make sense of part to part and part to whole relationships.

What is a ratio?

• A part to part relationship.

• A whole to whole relationship.

• A part to whole relationship.

• A whole to part relationship.

In the example of the classroom, what is the ratio of girls to boys?

• 12 to 15

• 15 to 12

• 27 to 15

• 15 to 27

What fraction of the classroom is made up of girls?

• 15/27

• 15/12

• 27/15

• 12/27

What percent of the classroom is made up of boys?

• 44%

• 56%

• 50%

• 60%

In the fish population example, what is the ratio of bluegills to walleye in Elkart Lake?

• 5 to 14

• 6 to 2

• 2 to 6

• 14 to 5

What is the percentage of walleye in Lake Seven?

• 25%

• 26%

• 30%

• 20%

In the class preference example, what is the ratio of students who prefer tacos?

• 7 to 3

• 3 to 7

• 1 to 3

• 3 to 1

What is the ratio of students who prefer pizza?

• 3 to 1

• 1 to 3

• 3 to 7

• 7 to 3

What is the classwork assignment for today?

• Page 20 a through e and Ace problems 4 through 6 and 14 through 18.

• Page 19 a through e and Ace problems 1 through 3 and 9 through 13.

• Page 22 a through e and Ace problems 10 through 12 and 24 through 28.

• Page 21 a through e and Ace problems 7 through 9 and 19 through 23.