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Fractions as Numbers On a
Number line
Module 5: Lesson 8
Objective: Represent parts of one whole as
fractions with number bonds.
Fluency Practice (12 minutes)
Write the fraction that is
shaded.
Write the fraction that is not
shaded.
Continue with a possible sequence that
includes the following shaded or non-
shaded parts:
2/3 and 1/3, 4/5 and 1/5, 9/10 and 1/10,
7/8 and 1/8.
Fluency Practice (12 minutes)
Sprint: Identify Fractions (10 minutes)
Sprint A: Do as many problems as you can!
Sprint B: Try to get one more right than you
did on Sprint A!
Application Problem (10 Minutes)
Mr. Schwartz went to a coffee shop before
school. He spent 1 sixth of his money on a
coffee and 1 sixth of his money on a bagel
with cream cheese. How much of his
money did Mr. Schwartz spend before
school?
Application Problem (10 Minutes)
Concept Development (28 minutes)
Problem 1: Decomposing 4 into ones.
• On your personal white board, write a number bond
decomposing 4 into 4 ones.
• Now, work with your partner to show a number bond
decomposing 4 into 2 parts, one of which is composed of 3
ones.
• It took 3 copies of one to make 3. What are the two parts of your
number bond? Please specify the unit.
Concept Development (28 minutes)
Talk to your partner about the difference between these two number bonds.
Concept Development (28 minutes)
Yes! The first bond has the ones all separated. The second
bond has 3 instead of 3 ones. Both bonds are different ways of
showing the same number, 4. You could also show 4 as one
part 2 and one part two. The first bond has more parts than the
second one.
Concept Development (28 minutes)
• Write a number bond decomposing 1 into 4 unit fractions.
• Now, work with your partner to show a number bond
decomposing 1 into 2 parts, one part of which is composed
of 3 copies of the unit fraction.
Problem 2: Decomposing 1 into fourths.
Concept Development (28 minutes)
• What unit did we copy to make the number 3 fourths?
• What are the two parts of your number bond? Please
specify the unit.
• Look at your Sprint B. Discuss with your partner which of
figures matches your number bond.
Problem 2: Decomposing 1 into fourths.
Concept Development (28 minutes)
• Write a number bond decomposing 1 into 5 unit fractions.
• Now, work with your partner to show a number bond decomposing
1 into 2 parts, one part of which is 2 copies of 1 fifth..
• What are the two parts of your number bond? Please specify the
unit.
Problem 3: Decomposing 1 into fifths.
Concept Development (28 minutes)
• Look at your sprint side B. Discuss with your partner which of these
wholes matches your number bond.
• Yes, 3 fourths can represent either the shaded or un-shaded part.
Problem 3: Decomposing 1 into fifths.
Having done these three problems, you might have the students use same process to
model Questions 1, 12, 28, 39, and 44 from Sprint B. Ask them to find other models
on the Sprint which are represented by the same bond.
Problem Set (10 minutes)
You have 10 minutes to complete the problem set pages.
Debrief (10 minutes)
Let’s review your solutions for the problem set.
Exit Ticket
(3 minutes)
This is where you are going to show
us that you understand what we learned today!
We will learn if you are ready for the next lesson!
Homework
3-5 Lesson 8
Homework
Worksheet
Is Due Tomorrow!

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Module 5 Lesson 8

  • 1. Fractions as Numbers On a Number line Module 5: Lesson 8 Objective: Represent parts of one whole as fractions with number bonds.
  • 2. Fluency Practice (12 minutes) Write the fraction that is shaded. Write the fraction that is not shaded. Continue with a possible sequence that includes the following shaded or non- shaded parts: 2/3 and 1/3, 4/5 and 1/5, 9/10 and 1/10, 7/8 and 1/8.
  • 3. Fluency Practice (12 minutes) Sprint: Identify Fractions (10 minutes) Sprint A: Do as many problems as you can! Sprint B: Try to get one more right than you did on Sprint A!
  • 4. Application Problem (10 Minutes) Mr. Schwartz went to a coffee shop before school. He spent 1 sixth of his money on a coffee and 1 sixth of his money on a bagel with cream cheese. How much of his money did Mr. Schwartz spend before school?
  • 6. Concept Development (28 minutes) Problem 1: Decomposing 4 into ones. • On your personal white board, write a number bond decomposing 4 into 4 ones. • Now, work with your partner to show a number bond decomposing 4 into 2 parts, one of which is composed of 3 ones. • It took 3 copies of one to make 3. What are the two parts of your number bond? Please specify the unit.
  • 7. Concept Development (28 minutes) Talk to your partner about the difference between these two number bonds.
  • 8. Concept Development (28 minutes) Yes! The first bond has the ones all separated. The second bond has 3 instead of 3 ones. Both bonds are different ways of showing the same number, 4. You could also show 4 as one part 2 and one part two. The first bond has more parts than the second one.
  • 9. Concept Development (28 minutes) • Write a number bond decomposing 1 into 4 unit fractions. • Now, work with your partner to show a number bond decomposing 1 into 2 parts, one part of which is composed of 3 copies of the unit fraction. Problem 2: Decomposing 1 into fourths.
  • 10. Concept Development (28 minutes) • What unit did we copy to make the number 3 fourths? • What are the two parts of your number bond? Please specify the unit. • Look at your Sprint B. Discuss with your partner which of figures matches your number bond. Problem 2: Decomposing 1 into fourths.
  • 11. Concept Development (28 minutes) • Write a number bond decomposing 1 into 5 unit fractions. • Now, work with your partner to show a number bond decomposing 1 into 2 parts, one part of which is 2 copies of 1 fifth.. • What are the two parts of your number bond? Please specify the unit. Problem 3: Decomposing 1 into fifths.
  • 12. Concept Development (28 minutes) • Look at your sprint side B. Discuss with your partner which of these wholes matches your number bond. • Yes, 3 fourths can represent either the shaded or un-shaded part. Problem 3: Decomposing 1 into fifths. Having done these three problems, you might have the students use same process to model Questions 1, 12, 28, 39, and 44 from Sprint B. Ask them to find other models on the Sprint which are represented by the same bond.
  • 13. Problem Set (10 minutes) You have 10 minutes to complete the problem set pages. Debrief (10 minutes) Let’s review your solutions for the problem set.
  • 14. Exit Ticket (3 minutes) This is where you are going to show us that you understand what we learned today! We will learn if you are ready for the next lesson!