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c!c!c!@(c!c!c!c!,c!c!c!c!c!c!c!c!c!>L: 5.NF.3 Interpret a fraction as division
Interpret a fraction as division of the numerator by the denominator (a/b=ab). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Opening Fluency
Fluency Practice: Oral
Factors to 100 = like Salute Game (4.NF.5)
20
4
25
50
1
Fluency Practice: Equivalent Fractions --(4.NF.5) Written
1/4 = ____/100
1/50 = ____/100
3/50 = ____/100
3/20 =____/100
Fluency Practice: Compare Fractions (4.NF.2) Written
1/6 WHY?
3/4 3/8 WHY?
2/5 9/10 WHY?
Fluency Practice: Fractions as Division (5.NF.3) Written
1 3 Write a complete number sentence using the expression
7 6 Say the fraction
13 5
Warm-up Problem:
Alex loves making foldables in math class. She is trying to decide where she should sit in the room to be able to have the best access to a construction bucket. Table 1 is a 4 person table with 1 construction bucket, table 2 is a 6 person table with 2 construction buckets, and table 3 is a 5 person table with 2 construction buckets. Which table should Alexa choose to sit at if she wants access to the largest share of materials? Draw a picture to support your answer.
SHARE
Guided Practice
A landscaper poured 4 pounds of mulch into 3 pots. What is the weight of the mulch in each pot?
T: Please start by thinking about the number sense and what operation you are going to use.
T: Shoulder Partners talk about what you think and why
T: Write an expression for this problem and solve
T: Draw a picture to support your expression. Make sure you use your labels.
T: Share with your face partner
T: Yesterday when we shared the crackers we discovered that there were 2 ways to show this in a model.
Lets share our methods.
43=4 43= 1 and 1 third.
When we cut them all into thirds and shared, how many thirds, in all, did we have to share ?
12 thirds
12/3 3 = 4/3
4/3 = 1 and 1/3
T: Lets solve this using a division algorithm.
T: we have SHAPE \* MERGEFORMAT
T: We have 3 groups of 1 and 1/3. Tell me a multiplication sentence
3 x 1 1/3
Solve with Face partner.
Problem 2:
A landscaper doubled the number of pounds of mulch poured into 3 pots. What is the weight of the mulch in each pot now?
What is the whole that in this problem? Discuss with shoulder partner
Tell me the whole? (8) Tell me the divisor (3) Tell me the division expression for problem # 2
Compare this to problem 1- What did you notice? Talk with your face partner
Make a prediction as to what the quotient would be? Why? Talk with your shoulder partner.
(2 2/3) 1 1/3 + 1 1/3
Work with your shoulder partner to confirm or deny the predictions you made. Try to solve it with a model two different ways and then solve using the standard algorithm.
Share
24/3 3 = 8/3
Check:
Addition sentence: 2 2/3 + 2 2/3 + 2 2/3 = 8
Multiplication Sentence: 3 X 2 2/3 = 8
Partner Practice
Choose a partner not at your table group.
Chart: 10 minutes
Group Discussion:
What pattern did you notice between 1b and 1c?
What is the relationship between the answers for 2a and 2b?
Explain to your partner how you solved problem 3. Why do we need one more crater than our actual quotient?
We expressed our remainders today as fractions. How is that different than how you usually represent them in a standard division algorithm?
Independent- Exit ticket
Helps me to assess levels of understanding, make small intervention groups, and to plan effectively for future lessons.
Partner Class work/ Name____________________________________ Date____________________
Fluency Practice: Equivalent Fractions --Written
1 ____/100
2. ____/100
3. ____/100
4. ____/100
Fluency Practice: Compare Fractions Written
1. ______ ________
WHY?___________________________________________________________________________
2. ______ ________
WHY?___________________________________________________________________________
3. ______ ________
WHY?___________________________________________________________________________
Fluency Practice: Fractions as Division Written
1.______________________________________
2.______________________________________
3._____________________________________
Warm Up: Shoulder partners
Alexa loves making foldables in math class. She is trying to decide where she should sit in the room to be able to have the best access to a construction bucket. Table 1 is a 4 person table with 1 construction bucket, table 2 is a 6 person table with 2 construction buckets, and table 3 is a 5 person table with 2 construction buckets. Which table should Alexa choose to sit at if she wants access to the largest share of materials? Draw a picture to support your answer.
A landscaper poured 4 pounds of mulch into 3 pots. What is the weight of the mulch in each pot?
A landscaper doubled the number of pounds of mulch poured into 3 pots. What is the weight of the mulch in each pot now?
Partner Class work/ Homework
Name_____________________________
1. Fill in the chart. The first one is done for you.
Division ExpressionUnit FormsImproper FractionMixed NumberStandard Algorithm
and check
a. 4 3
12 thirds 3= 4 thirds
4
3
1 1
3
b. 6 5
____fifths 5
= _____ fifths
1 1
5
c. ____ ____
24 thirds 3
= 8 thirds
d. 7 2
7
2
3 1
2
2a. The Art teacher evenly distributes 6 packs of clay to 8 third grade students. How many packs of clay does each student get? Explain your thinking in models, words, or numbers.
b. If there were twice as many packs of clay and half as many students, how would the amount each student receives change? Make a prediction and then check using a model or numbers.
3. The librarian has 16 boxes of books from the book fair. The boxes are placed in crates for delivery. Each crate holds five boxes of books. What is the fewest number of crates necessary for delivery of all the books?
Explain your thinking in models, words, or numbers
4a. The cafeteria uses 4 liters of milk every day to prepare lunches. If they have 15 liters of milk in the refrigerator, after how many days will they need a delivery of more milk? Explain your thinking in models, words, or numbers
b. If they only use half as much milk to prepare the lunches, after how many days will they need a delivery of milk? Make a prediction and then check using a model or numbers.
Independent
Name_______________________
Marias mom gave Maria and her three sisters 9 bags of marbles. They have been told to share the bags equally. How many bags does each girl get?
Fill in the chart to show how to solve the problem.
Division ExpressionUnit FormsImproper FractionMixed NumberStandard Algorithm
and check
Draw a model to show your thinking:
Independent
Name_______________________
Marias mom gave Maria and her three sisters 9 bags of marbles. They have been told to share the bags equally. How many bags does each girl get?
Fill in the chart to show how to solve the problem.
Division ExpressionUnit FormsImproper FractionMixed NumberStandard Algorithm
and check
Draw a model to show your thinking:
T: How many groups of 3 can I make with 4 pounds?
S: 1 group of 3
T: How many pounds are left to share?
S:1
T: What did we do with the last pound? Shoulder partner
1 split into 3 pots = 1/3 each
T: Add the 1/3 to your quotient of 1.
T: How can you prove that that is correct?
Share
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