marge has 2 bottles of ketchup that are the same size. one ... ·...
TRANSCRIPT
OGAP Fractions [NAME __________________________ DATE ___________]
1 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 1
Marge has 2 bottles of ketchup that are the same size. One bottle is 1
5 full and the
other bottle is 12
full.
Can all the ketchup fit into one bottle without the ketchup overflowing? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
2 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 2
Josh and Alison ordered one pizza. Josh ate 41 of the pizza and Alison ate
85 of the
pizza. Did Josh and Allison eat the whole pizza? Explain your thinking.
OGAP Fractions [NAME __________________________ DATE ___________]
3 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 3
Aunt Sally has a jar that holds one cup of liquid. Her salad dressing recipe calls for 2
3 cups of oil, 1
8 cups of vinegar, and 1
4 cups of lemon juice. Is the jar large
enough to hold all the oil, vinegar, and lemon juice? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
4 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 4
Sam jogged 107 of a mile on Saturday and
41 of a mile on Sunday.
Is the total distance Sam jogged on Saturday and Sunday closest to
21 of a mile or
1 whole mile? Explain your thinking.
OGAP Fractions [NAME __________________________ DATE ___________]
5 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 5
Sam ate
51 of the pizza. His friend ate
52 of the same pizza. Which fraction is the
closest to the amount of pizza they ate together?
A)
21 of the pizza
B)
81 of the pizza
C)
41 of the pizza
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
6 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 6
Jill walked her dog 103
of a mile on Saturday and 104 of a mile on Sunday.
Is the total distance Jill walked her dog on Saturday and Sunday closest to
21 of a
mile or 1 whole mile? Explain your thinking.
OGAP Fractions [NAME __________________________ DATE ___________]
7 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 7
Josh is knitting a hat. He has 5
6 of a ball of yellow yarn and 3
5 a ball of purple
yarn. A total of 112
balls of yarn is needed for the hat.
Does Josh have enough yarn to knit the hat? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
8 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 8
Kim bought peanuts that weighed 54 pounds, and raisins that weighed 5
1 pounds.
What is the total weight of the peanuts and raisins Kim bought? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
9 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 9
The liquid ingredients in a cake recipe are 2
3 cups of milk and 3
8 cups of oil. What
is the total amount of liquids used in this cake recipe? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
10 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 10
Kim bought peanuts that weighed
83 pounds, and raisins that weighed
41 pounds.
What is the total weight of the peanuts and raisins Kim bought? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
11 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 11
Tina ate
32 of a jar of candy.
Her sister ate 41 of a jar of candy
How much candy is left in the jar?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
12 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 12
Tina ate
31 of a jar of candy.
Her sister ate 31 of the jar of candy
. How much candy is left in the jar? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
13 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 13
21 of the gym is used for tumbling.
31 of the gym is used for dodgeball.
How much of the gym space is left for volleyball? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
14 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 14
Billy drove 12
3 miles from his home to work. His car broke down 41
5 miles from
work. How far was he from his home? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
15 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 15
Susie is walking from her home to school, a distance of 71
8 miles. At 4
5 of a mile
from her home she stops for a drink of water. How much further does she still need to walk before she arrives at school? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
16 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 16
John is baking a cake. He puts 3
4 cups of sugar and 1
3 cups of cocoa into a two
cup container. How much space is left in the two cup container? Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
17 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 17
Sylvia had 2 !! yards of blue fabric and 3 !
! yards of red fabric.
A) How much fabric did she have altogether?
Show your work.
B) Chris said that she could use the following equation to solve the problem. Is she correct? Explain your reasoning.
2 + 3 + !!"+ !
!"= n
OGAP Fractions [NAME __________________________ DATE ___________]
18 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 18
Alice had a goal to bike 38 miles during one week. On Monday she biked 15 !!
miles. On Wednesday she biked 11 !! miles. On Friday she biked 10 !
! miles.
Did she meet her goal?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
19 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 19
Fiona is making gifts for her family for the holidays. The table below shows the length of fabric strips needed for each project she is considering making.
Project Length of Fabric Strips (in yards)
Wreath
2 !!
Picture Frame
2 !!
Bracelet
1 !!
Plant Pot
2 !!
She has 6 !! yards of fabric strips and wants to make as many different gifts as
possible. Which projects should Fiona make that will use exactly 6 !! yards of
fabric strips?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
20 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 20
Richard had a project due in Science class. During the first week he worked for 3 !!
hours. During the second week he worked for 2 !! hours.
How many hours did Richard work on his project during the two week period?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
21 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 21
Eliza had an odometer on her bike that kept track of how far she biked. She took
4 bike rides during the week. At the end of the week her odometer read 16 !!"
miles.
The table below shows the length of each of her favorite bike rides.
Bike Ride Length (in miles)
Grocery Store
3 !!"
Bike Path
3 !!
Kelyn’s house
4 !!
Pizza Shop
3 !!
Movie Theatre
5 !!"
What bike rides must Eliza have taken to travel exactly 16 !!" miles?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
22 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 22
Alison is baking for a bake sale at school. The table below shows the amount of sugar, in cups, she will need for each recipe she is considering making.
Recipe Amount of Sugar (in cups)
Brownies 1 !!
Scones 2 !!
Cookies 1 !!
Peanut Butter Bars 1 !!
Carrot Cake 2 !!
She has 5 cups of sugar in her cupboard. What recipes could she make that would use all of her sugar?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
23 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 23
Sandy was training to run in a race. During the first week she ran for 15 !! miles.
During the second week she ran 12 !! miles.
How many more miles did Sandy run during the first week?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
24 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 24
Fred was making cookies. He had two recipes that he was considering using to
make the cookies. The first recipe required 1 !! cups of flour. The second recipe
required 2 !! cups of flour. How much more flour did he need for the second
recipe?
Hannah said that she could use the following equation to solve the problem.
2 !! -‐ 1 !
!= n
Brent says that he could use the following equation to solve the problem.
!"! -‐ !
!= n
Who is correct? Explain your thinking.
OGAP Fractions [NAME __________________________ DATE ___________]
25 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 25
Tammy was at the fabric store. There were many different scraps of fabric on sale. The table below tells how much, in yards, fabric was in the sale bin.
Fabric Color Amount of fabric (in yards)
Purple 2 !!
Blue 2 !!
Silver 1 !!
Magenta 5 !!
Brown 6 !!
Tammy purchased two fabric colors with a difference of 3 !! yards. What two
color must she have chosen?
Show your work.
OGAP Fractions [NAME __________________________ DATE ___________]
26 © 2013 Marge Petit, E. Hulbert, and R. Laird. A derivative product of the Vermont Mathematics Partnership Ongoing Assessment Project funded by NSF (Award Number EHR-‐0227057) and the US DOE (S366A0200002))
ASC 26
At the end of the summer Anne spent a day canning the vegetables she grew in her garden. She canned 12 !
! pounds of carrots and 15 !
! pounds of beans.
How many more pounds of beans did she can than carrots?
Show your work.