Module 4: Lesson 5 By the end of the lesson, I will be able to…

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 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.
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Presentation transcript:

Module 4: Lesson 5 By the end of the lesson, I will be able to… Objective: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

Write 10 x 1 2 5 Write 10 x 1 5 2 Write 30 x 1 6 5 Write 8 x 1 2 4 Fluency Practice: Fraction of a Set Write 10 x 1 2 (THINK: 10 copies of one-half is…?) 5 Write 10 x 1 5 (THINK: 10 copies of one-five is…?) 2 Write 30 x 1 6 5 Write 8 x 1 2 4 Write 8 x 1 4 2

Write 6 x 1 3 2 Write 42 x 1 6 7 Write 42 x 1 7 6 Write 48 x 1 8 6 Fluency Practice: Fraction of a Set Write 6 x 1 3 2 Write 42 x 1 6 7 Write 42 x 1 7 6 Write 48 x 1 8 6 Write 54 x 1 9 6

Write 9 ÷ 30 = ? Now Write 9 30 as a decimal. Fluency Practice: Write Division Sentences as Fractions Write 9 ÷ 30 = ? 9 30 (Write the quotient as a fraction.) Now Write 9 30 as a decimal. 9 ÷ 30 = 9 30 = 3 10 =0.3

Fluency Practice: Write Division Sentences as Fractions (Write the quotient as a fraction first and then simplify before writing as a decimal.) Write 28 ÷ 40 = ? 28 ÷ 40 = 𝟐𝟖 𝟒𝟎 = 𝟕 𝟏𝟎 =𝟎.𝟕 Write 18 ÷ 60 = ? 18 ÷ 60 = 𝟏𝟖 𝟔𝟎 = 𝟑 𝟏𝟎 =𝟎.𝟑 Write 63 ÷ 70 = ? 63 ÷ 70 = 𝟔𝟑 𝟕𝟎 = 𝟗 𝟏𝟎 =𝟎.𝟗

Fluency Practice: Write Division Sentences as Fractions 24 ÷ 80 = 𝟐𝟒 𝟖𝟎 = 𝟑 𝟏𝟎 =𝟎.𝟑 Write 63 ÷ 90 = ? 63 ÷ 90 = 𝟔𝟑 𝟗𝟎 = 𝟕 𝟏𝟎 =𝟎.𝟕

2. Calculate to solve and write a statement. Today we are going to solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. Here are the steps we are going to follow as we work through today’s problems. Model the problem. Can you draw something? What can you draw? What conclusions can you make from your drawing? 2. Calculate to solve and write a statement. 3. Assess the solution for reasonableness.

Problem 1: A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow? Model the problem. 2 yards of fabric 2. Calculate to solve and write a statement. 5 units = 2 yards 1 unit = 2 ÷ 5 ? = 2 5 Each pillow uses 𝟐 𝟓 yards of fabric. ? 3. Assess the solution for reasonableness.

Problem 2: An ice-cream shop uses 4 pints of ice cream to make 6 sundaes. How many pints of ice cream are used for each sundae? 4 pints of ice cream Model the problem. 2. Calculate to solve and write a statement. 𝟐 𝟑 pint of ice cream is used in making each sundae. 6 units = 4 pints 1 unit = 4 ÷ 6 ? = 4 6 𝑜𝑟 2 3 ? 3. Assess the solution for reasonableness.

Problem 3: An ice-cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used in each sundae? Use a tape diagram to show your work. 6 bananas Model the problem. 2. Calculate to solve and write a statement. 4 units = 6 bananas 1 unit = 6 ÷ 4 ? = 6 4 𝑜𝑟 1 2 4 Each sundae uses 6/4 or 1 ½ bananas. ? 3. Assess the solution for reasonableness.

Problem 4: Julian has to read 4 articles for school Problem 4: Julian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each night. How many articles will he have to read per night? What fraction of the reading assignment will he read each night?

Problem 5: 40 students shared 5 pizzas equally Problem 5: 40 students shared 5 pizzas equally. How much pizza did each student receive? What fraction of the pizza did each student receive?

Problem 6: Lillian had 2 two-liter bottles of soda, which she distributed equally between 10 glasses. How much soda was in each glass? Express your answer as a fraction of a liter. Express your answer as a decimal number of liters. Express your answer as a whole number of milliliters.

Problem 7: The Caleb family likes to paddle along the Susquehanna River. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram.

b. If the Calebs went half their daily distance each day, but extended their trip to twice as many days, how far would they travel?

Get Ready to Finish the Problem Set on Your Own! Complete Lesson 5. You will have 10 minutes to work. Try your Best! 5th Grade Module 4– Lesson 5

5th Grade Module 4- Lesson 5 LET’S Debrief Take 2 minutes to check your answers with your partner. Let’s share any insights you had while solving these problems. 5th Grade Module 4- Lesson 5

5th Grade Module 4– Lesson 5 EXIT TICKET LESSON 5 5th Grade Module 4– Lesson 5