1. Objective: Explore part to whole relationships.
Module 3 – lesson 16
Objective: Explore part to whole relationships.

2. Fluency Practice – Break Apart the Whole
4/3 = 7/5 = 19/17 =
13/3 = 31/6 = 24/5 =
15/2 = 17/3 = 36/5 =
49/8 = 61/12 = 43/4 =
34/12 = 19/6 = 17/2 =
89/11 = 53/9 = 26/8 =
73/9 = 73/8 = 63/8 =
22/10 = 22/3 = 39/4 =
28/6 = 38/5 = 44/3 =
45/7 = 78/11 = 53/2 =
1 + 1/2
1 + 2/5
1 + 2/17
4 + 1/3
5 + 1/6
4 + 4/5
7 + 1/2
5 + 2/3
7 + 1/5
6 + 1/8
5 + 1/12
10 3/4
2 + 10/12
3 + 1/6
8 + 1/2
8 + 1/11
5 + 8/9
3 + 2/8
8 + 1/9
9 + 1/8
7 + 7/8
2 + 2/10
7 + 1/3
9 + 3/4
4 + 4/6
7 + 3/5
14 + 2/3
6 + 3/7
7 + 1/11
26 + 1/2

3. Fluency Practice – make a like unit
What does like units mean?
When you add or subtract fractions, if the denominators are the same, then they are like units.
How do you find like units?
You can list your multiples until you find a common multiple.
You can multiply the denominators together to find a common denominator.
What would be a like unit for 3 and 2? 6
What would be a like unit for 3 and 12?
12, 24, or 36
What would be a like unit for 4 and 5? 20

4. Fluency Practice – add fractions with answers greater than 1
Solve.
3/3 + 1/3
1 1/3
2/2 + 3/2
5/2 = 2 1/2
4/4 + 1/4
5/4 or 1 1/4
3/8 + 7/8
10/8 = 1 2/4 = 1 1/2
2/3 + 2/3 + 1/3
5/3 = 1 2/3

5. Application problem
Draw the following ribbons. When finished, compare your work to your partner’s.
A) 1 ribbon. The piece shown below is only 1/3 of the whole. Complete the drawing to show the whole ribbon.
B) 1 ribbon. The piece shown below is 4/5 of the whole. Complete the drawing to show the whole ribbon.
D) 2 ribbons, A and B. One third of A is equal to all of B. Draw a picture of the ribbons.
E) 3 ribbons, C, D, and E is half the length of D. E is twice as long as D. Draw a picture of the ribbons.
Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert’s wire than Maria’s?
Half Sarah’s wire is equal to 2/5 of Daniels. Chirs has 3 times as much as Sarah. In all, their wire measures. 6 ft. How long is Sarah’s wire in feet?

6. Application problem A) B) C) D) E)

7. Application problem 2. 3) Maria’s Wire 10 feet Robert’s Wire ?
10 ft divided by 7 = 10/7 ft
Robert’s wire is 10/7 ft longer than Maria’s
21 units = 6ft
6ft divided by 21
6/21
1 unit = 6/21 ft
4 x 6/21 = 24/21 = 1 3/21 = 1 1/7 ft
Sarah’s Wire
6 feet
Daniel’s Wire
Chirs’s Wire

8. End of Lesson activities
Exit Ticket
Homework

9. Exit Ticket #16
A) 1 ribbon. The piece shown below is only 2/3 of the whole. Complete the drawing to show the whole piece of ribbon.
B) 1 ribbon. The piece show below is ¼ of the whole. Complete the drawing to show the whole piece of ribbon.
C) 3 ribbons, A, B, and C. 1 third of A is the same length as B. C is half as long as B. Draw a picture of the ribbons.

10. Homework #16 Draw the following ribbons.
A) 1 road. The piece shown below is only 3/7 of the whole. Complete the drawing to show the whole road.
B) 1 road. The piece shown below is 1/6 of the whole. Complete the drawing to show the whole road.
C) 3 roads. B is three times longer than A. C is twice as long as B. Draw the roads. What fraction of the total of the roads is the length of A? If Road B is 7 miles longer than Road A, what is the length of Road C?
D) Write your own ribbon or road problem with 2 or 3 lengths.