Ratios and Proportions in Word Problems

This lesson focuses on using tape diagrams to solve ratio problems. It begins with an introduction to the concept of ratios and the use of tape diagrams as a visual tool. The lesson includes several exercises, such as determining the ratio of red to white candies, a pet survey, a lemonade recipe, and a video game points problem. Each exercise demonstrates how tape diagrams can simplify complex ratio problems by visualizing the scaling factor. The lesson concludes with a summary of the importance of tape diagrams in understanding and solving ratio problems.

What is the main focus of this lesson?

• Using tape diagrams to solve ratio problems

• Exploring geometric shapes

• Learning about algebraic equations

• Understanding fractions

In Exercise 1, what tool is initially used to solve the ratio problem?

• Tape diagram

• Double number line

• Bar graph

• Pie chart

How many pieces of white candy are there if there are 18 pieces of red candy in a 3:2 ratio?

• 12

• 15

• 10

• 18

What is the scaling factor used in Exercise 1 to find the actual number of candies?

• 5

• 3

• 4

• 6

In Exercise 2, what is the ratio of students with pets to those without?

• 3:2

• 7:4

• 5:3

• 4:3

How many students are there in total if 20 students do not have pets?

• 45

• 60

• 50

• 55

In Exercise 3, what is the ratio of water to lemon juice in the lemonade recipe?

• 2:1

• 3:1

• 4:1

• 5:1

How many cups of water are used if the total is 24 cups?

• 12

• 18

• 15

• 21

In Exercise 4, what is the ratio of points scored by Maria to Viktor?

• 7:5

• 5:3

• 4:3

• 6:4

How many more points does Maria score than Viktor?

• 436

• 424

• 412

• 400