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### Engage NY Math Module 2

Lesson 15: Solve two-step word problems involving measurement and multi-digit multiplication.

Divide by Multiples of 10 and 100

- Solve the following problems by writing it as a three-step division sentence, taking out the ten first. The first one has been done for you.
- 8,480 ÷ 400
- 8,480 ÷ 400 = 8,480 ÷ 100 ÷ 4 = 21.2
- 480 ÷ 20
- 480 ÷ 20 = 480 ÷ 10 ÷ 2 = 24
- 690 ÷ 300
- 690 ÷ 300 = 690 ÷ 100 ÷ 3 = 2.3
- 6,480 ÷ 20
- 6,480 ÷ 20 = 6,480 ÷ 10 ÷ 2 = 324

Concept Development – Problem 1

- Liza’s cat had six kittens! When Liza and her brother weigh all the kittens together, they weigh 4 pounds 2 ounces. Since all the kittens are about the same size, how many ounces does each kitten weigh?
- We will work this problem together. Let’s read the word problem aloud together.
- Now, let’s re-read the problem sentence by sentence and draw as we go.
- Liza’s cat had six kittens!
- What do you see? Can you draw something? Share your thinking.
- How can we represent 6 kittens using a tape diagram?
- We can draw 6 units representing 6 kittens.

Concept Development – Problem 1

- Liza’s cat had six kittens! When Liza and her brother weigh all the kittens together, they weigh 4 pounds 2 ounces. Since all the kittens are about the same size, how many ounces does each kitten weigh?
- Read the next sentence.
- When Liza and her brother weigh all the kittens together, they weigh 4 pounds 2 ounces.
- What is the important information and how can we show that in our drawing?
- The total weight for all 6 kittens is equal to 4 pounds 2 ounces. We can draw 6 equal units with the total of 4 pounds 6 ounces.

4 lb 2 oz.

Concept Development – Problem 1

- Liza’s cat had six kittens! When Liza and her brother weigh all the kittens together, they weigh 4 pounds 2 ounces. Since all the kittens are about the same size, how many ounces does each kitten weigh?
- Let’s read the question. What are we trying to find? What is missing in our drawing?
- One kitten’s weight, in ounces.
- How do we solve this problem? Turn and talk to your table. Work with your table to solve this problem.

4 lb 2 oz.

?

Concept Development – Problem 1

- We were given the total weight of 4 lb 2 oz. Let’s convert it into ounces.
- 4 lb 2 oz = ______ oz
- 4 x 16 + 2 = 66 oz
- What is the total weight in ounces?
- 66 oz
- Have we answered the question?
- No. We need to divide the total weight of 66 oz by 6 to find the weight of 1 kitten.
- Solve. Say the division sentence with the answer and express your answer in a sentence.
- 66 oz ÷ 6 = 11 oz.
- Each kitten weighs 11 oz.

4 lb 2 oz.

4 lb 2 oz = ______ oz

?

Concept Development – Problem 2

- Holly is buying orange juice for the class party. There are 24 people coming, and she figures each person will drink 1.75 cups.
- A. How many fluid ounces of juice will she need?
- B. If she buys five 59-ounce containers, will she have enough juice?
- Reread the problem with a partner at your table. What can we draw to solve this problem.
- There are 24 units and each unit equals 1.75 cups.
- Draw and label your tape diagram. Remember, 24 units is a lot of units to draw, so you can use dot, dot, dot (…) to represent 24 total units.
- How many people are coming?
- 24 people
- So, we’ll have 24 total units. What is happening to those 24 people? How much are they drinking?
- 1.75 cups each
- So each one of those 24 units is equal to 1.75 cups.

4 lb 2 oz = ______ oz

… … …

1.75 c

1.75 c

1.75 c

1.75 c

1 2 3 … … … 24

Concept Development – Problem 2

- Holly is buying orange juice for the class party. There are 24 people coming, and she figures each person will drink 1.75 cups.
- A. How many fluid ounces of juice will she need?
- B. If she buys five 59-ounce containers, will she have enough juice?
- Look at your drawing and make sure it shows the same information as the one below.
- Re-read quietly Part (a) with a partner. What is Part (a) asking? Is this a one-step or multi-step problem? Turn and share.
- Multi-step because we are given cups and have to find the answer in fluid ounces.
- We can solve by first converting the 1.75 cups into fluid ounces, and then multiply by 24.
- OR
- We can first multiply 1.75 cups by 24, and then we can convert to fluid ounces.
- Work together to complete the first step by finding the total juice in cups. Write the multiplication sentence starting with 1.75 cups.
- 1.75 cups x 24 = 42 cups

1 unit = 1.75 c

24 units = 1.75 x 24 = 42 c

… … …

1.75 c

1.75 c

1.75 c

1.75 c

1 2 3 … … … 24

Concept Development – Problem 2

- Holly is buying orange juice for the class party. There are 24 people coming, and she figures each person will drink 1.75 cups.
- A. How many fluid ounces of juice will she need?
- B. If she buys five 59-ounce containers, will she have enough juice?
- We haven’t answered the question yet. Now finish solving Pat (a) by converting the total cups into fluid ounces by multiplying by 8.
- 42 cups is equal to how many fluid ounces?
- 42 x 8 = 336 fluid ounces
- Use 336 fluid ounces to answer the question. Holly will need 336 fluid ounces of juice for the party.
- Let’s do Part (b) together.
- In order to find out if she’ll have enough, we’ll need to figure out how many ounces are in five 59-ounce containers. Work independently to figure that out.

- 42 cups = 336 fluid ounces

- 1 unit = 1.75 c
- 24 units = 1.75 x 24 = 42 c
- 42 x 8 = 336 fluid ounces

… … …

1.75 c

1.75 c

1.75 c

1.75 c

1 2 3 … … … 24

Concept Development – Problem 2

- A. How many fluid ounces of juice will she need?
- B. If she buys five 59-ounce containers, will she have enough juice?
- Tell me the multiplication sentence starting with 5.
- 5 x 59 ounces = 295 ounces
- Without calculating, can we answer question B?
- 295 is less than 336, so she doesn’t have enough juice for the party.

- A.)
- 1 unit = 1.75 c
- 24 units = 1.75 x 24 = 42 c
- 42 x 8 = 336 fluid ounces
- Holly will need 336 fl. Oz of juice for the party.
- B.)
- Five 59-ounce = 295 fl. oz
- 295 fl. Oz < 336 fl. Oz
- Holly will not have enough juice for the party.

- 42 cups = 336 fluid ounces

… … …

1.75 c

1.75 c

1.75 c

1.75 c

1 2 3 … … … 24

Concept Development – Problem 3

- Josie is 1.4 m tall. Her sister is 54 cm shorter.
- A.) Find Josie’s sister’s height in meters.
- B.) How tall are Josie and her sister combined, in meters?

Concept Development – Problem 4

- How many pounds of cargo were unloaded?
- Which load of cargo was heavier, the lumber or the concrete? How many pounds heavier?

Concept Development – Problem 5

- A punch recipe calls for 2 quarts of ginger ale, 3 pints of orange juice, 2 pints of pineapple juice, 1 cup of lemon juice, and 3 ounces of lime juice. Edna plans to make a double-recipe. How many fluid ounces will there be in a double-recipe of punch?

Concept Development – Problem 6

- If Akun travels from his house to the Youth Ball Field and back, how many miles did he travel?
- Which two locations are equidistant from Akun’s house?
- Three days a week, Akun walks to school. After school, the bus drops him off at the library to do his homework. He walks home afterwards. How far, in feet, does Akun walk on those three days?

Homework Task

Display Homework Task on the board. Allow time for the students to complete the problems with tablemates.

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