Section B: Practice Problems From Graphs to Multiplication

Section Summary

Details

In this section, we learned about equal groups. We created drawings and diagrams to represent situations that involve equal groups.

situation

Diego has 8 piles of socks. Each pile of socks has 2 socks.

drawing

Eight ovals, each containing two dots.

diagram

Diagram. A rectangle split into 8 parts, each labeled 2. Total length, 16.

We wrote multiplication expressions and equations to represent equal groups.

expression

equation

We learned that the numbers that are multiplied are called factors and the number that is the result of multiplying is called a product. In the equation , the numbers 8 and 2 are the factors and 16 is the product.

Problem 1 (Lesson 9)

There are 6 tennis courts. There are 2 players on each tennis court.

Create a drawing or diagram to represent the tennis players. Then, find out how many players are on the tennis courts. Explain or show your reasoning.

Problem 2 (Lesson 10)

The picture graph shows the favorite colors of some students.

Picture Graph. Favorite Colors. Key: dot represents 2 people. Purple, 4 dots. Yellow, 8 dots. Blue, 3 dots. Red, 5 dots.

Match each diagram or drawing to the number of people who like each color.

  1. Diagram. 5 equal parts each labeled 2.
  2. Diagram. 8 equal parts each labeled 2.
  4. 4 groups of 2 dots.

  1. red

  2. blue

  3. purple

  4. yellow

Problem 3 (Lesson 11)

Create a drawing or diagram to represent the expression .

Problem 4 (Lesson 12)

There are 4 stacks of books on the table. Each stack has 5 books. How many books are on the table? Explain or show your reasoning.

Problem 5 (Lesson 13)

There are 6 basketball teams in the gym. There are 5 people on each team. How many people are on the basketball teams in the gym?

  1. Write an equation with a symbol for the unknown to represent the situation.

  2. Find the number that makes the equation true. Show your reasoning.

Problem 6 (Lesson 14)

Write an equation for the situation. Use a ? for the unknown. Find the number that makes the equation true.

There are 4 soccer teams. Each soccer team has 10 players. How many players are there altogether?

Problem 7 (Lesson 15)

Solve each problem. Explain or show your reasoning.

  1. There are 6 flowers. Each flower has 5 petals. How many petals are there?

  2. There are 50 petals on some flowers. Each flower has 5 petals. How many flowers are there?

Problem 8 (Exploration)

Write an expression for the number of circles in the image. Then, find the number of circles.

6 groups of 6 dots.

Problem 9 (Exploration)

For each image, determine if there is an even or odd number of circles. Explain or show your reasoning.

  1. 5 dot cubes of 6.
  2. 5 Dot Cubes of 5 dots each.
  3. 6 dot cubes of 7.

Problem 10 (Exploration)

Look in your classroom, school, home, or outdoors to find some equal groups of objects.

  1. Describe the objects.

  2. Create a drawing to represent the objects.

  3. Write an equation showing how many objects there are.