Understanding Ratios and Proportions

Mrs. Nelson teaches sixth-grade students about part-part-whole ratios in math. The lesson covers three problems: determining the number of students wearing sneakers and boots, calculating ingredients for a chicken marinade, and finding the size of a fruit punch batch. Each problem uses a tape diagram to visualize and solve the ratio problems, reinforcing the objective of solving problems with known ratios and total amounts.

What is the main objective of the lesson on part-part-whole ratios?

• To calculate percentages

• To learn how to draw tape diagrams

• To solve problems with known ratios and total amounts

• To memorize different types of ratios

In the sneakers and boots problem, what is the total number of students in the class?

• 33

• 15

• 18

• 11

How many students are wearing sneakers if the ratio of sneakers to boots is 5 to 6?

• 21

• 12

• 15

• 18

In the chicken marinade recipe, how many parts of oil are needed?

• 28

• 7

• 21

• 14

If you need 42 cups of marinade, how many parts of soy sauce are required?

• 28

• 21

• 7

• 14

In the fruit punch recipe, how many parts of cranberry juice are used?

• 4

• 3

• 2

• 5

If the fruit punch batch includes 30 cups of apple juice, what is the total size of the batch?

• 60 cups

• 70 cups

• 80 cups

• 90 cups

How many parts of grape juice are needed in the fruit punch recipe?

• 2

• 4

• 3

• 5

What is the total number of parts in the fruit punch recipe?

• 10

• 9

• 8

• 7

What method is suggested to help solve ratio problems in this lesson?

• Using a computer program

• Memorizing formulas

• Drawing a tape diagram

• Using a calculator