Division of Fractions
Fractions Domain (3-5)
Solve this problem on your own.
3 1
1 ¸
4 2
2
Share Solutions
Think/Pair/Share
• Share your solution with your neighbor.
• Justify why your solution works.
• Can you solve the problem in a different way?
3 1
1 ¸
4 2
coolmath4kids.com
Fraction Misconceptions
5
Video Debrief
Fractions Misconceptions
Think/Pair/Share
• What were this student’s strengths?
• What were his misunderstandings regarding
the division of fractions?
• How might you address these misunderstandings?
6
Division of Fractions
5.NF.7
Apply and extend previous understandings of division to divide unit fractions by
whole numbers and whole numbers by unit fractions.
a. Interpret division of a unit fraction by a non-zero whole number, and compute
such quotients. For example, create a story context for (1/3)÷4, and use a visual
fraction model to show the quotient. Use the relationship between multiplication
and division to explain that (1/3)÷4=1/12 because (1/12)×4=1/3.
b. Interpret division of a whole number by a unit fraction, and compute such
quotients. For example, create a story context for 4÷(1/5), and use a visual
fraction model to show the quotient. Use the relationship between multiplication
and division to explain that 4÷(1/5)=20 because 20×(1/5)=4. (see illustrations)
c. Solve real world problems involving division of unit fractions by non-zero
whole numbers and division of whole numbers by unit fractions, e.g., by using
visual fraction models and equations to represent the problem. For example, how
much chocolate will each person get if 3 people share 1/2 lb of chocolate
equally? How many 1/3-cup servings are in 2 cups of raisins?
The Meaning of Life Division
Division with Whole Numbers
What does 8 ÷ 2 mean?
Measurement Model:
Given 8 items, 2 in each group-how
many groups?
Partitive Model:
Given 2 groups and 8 items, how many
in each group?
Division with Fraction Tiles
• Use fraction tiles to answer the question,
“How many halves are in 1 3 ?”
4
3 1
1 ¸
4 2
Did you use the measurement or partitive model?
Number Line
•
3 1
1 ¸
4 2
Think/Pair/Share
Is this the best representation for
the answer to 1 3 ¸ 1 ?
4 2
Changing Unit
Remember way back in August…..
• Cuisenaire activity
• Fraction file folders
Answer these questions:
•
•
•
•
How many 3s are there in 6?
How may groups of 3 fives are there in 6?
How many groups of 3 tenths are there in 6?
How many groups of 3 sixths are there in 6
sixths?
Fractions Domain (3-5)
Solve this problem on your own.
3 1
1 ¸
4 2
14
Connecting to Current Practice
Think/Pair/Share
• How does the progression of standards
within the Fraction domain correspond to
your current practice?
• What are some things you might do now to help
students transition to the CCSS?
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