December 03, 2015
Lesson 3.5
Dividing Whole Numbers and Fractions
Curriculum Focus: Use models to divide proper fractions and whole numbers.
Get Started:
How can we share these 20 counters among five people?
How many groups of 5 counters can we make with the 20 counters?
December 03, 2015
5 divided by 3/5
Investigate: (p. 129)
Work with a partner.
You will need scissors. You will receive 2 copies of this diagram.
Square A models the whole number 1. Figure B represents 3/4 of Square A.
Which number does Rectangle C model?
Use paper cutting.
Use one copy of the diagram to find:
2
Use the other copy of the diagram to find: 2
1/4
3/4
December 03, 2015
What number does Rectangle C model?
How can you use your diagram to solve the first problem?
I can see how many piece of 1/4 fit into 2 wholes
What do you need to find in the first problem?
I need to find what represents 1 whole
How can you model the first problem?
There are eight 1/4's in 2 wholes
What do you need to find in the 2nd problem?
How many groups of 3/4's fit into 2 wholes
How can you model the 2nd problem?
There are 2 and 2/3's groups of
3/4 in 2 wholes
How could you describe the left-over pieces?
Since we are making groups of 3/4's and we have 8 quarters (8/4), we can focus on how
many groups of 3 we can make with 8 pieces.
Therefore we can make 2 & 2/3's groups out of 8 pieces
Connect:
Let's solve this questions using a number line:
6
1/3 =
6
4/3
December 03, 2015
We will solve these questions using a number line.
We will use fraction circles to solve this question.
December 03, 2015
Mr. Ducharme has set up 2/7 's of his candy
canes on his Christmas tree. He brings the
remainder in for his wonderful grade 8 math
class. Some students cannot have candy
canes. Only 15 students can have candy
canes.
How many candy canes from the whole
amount does each student get?
ANSWER
Each student will receive 1/21 from all of
the candy canes Mr. Ducharme has.
Assignment:
pp. 132 and 133 #3, 5, 6ab, 7, 8, 9ab, 11, 12
Challenge: #13 & 15