Division of Fractions Fractions Domain 3 5 Solve

Division of Fractions

Fractions Domain (3 -5) Solve this problem on your own. 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?

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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 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 ? ” Did you use the measurement or partitive model?

Number Line •

Think/Pair/Share Is this the best representation for the answer to ?

Changing Unit Remember way back in August…. . • Cuisenaire activity • Fraction file folders

Answer these questions: • • How many 3 s 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. 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? 15