5th Grade Measurement Name
Core and Extended Core Items
1. If the edge of a cube is measured in yards, then the cube’s volume would be measured in: ______
Show which is larger, smaller or equal using the less than symbol ( < , a), the greater than symbol ( > , b), or the equal sign ( = , c) for each of the following:
2. 1 in3 ______1 ft3 Write the letter of your answer here: _____
3. 1 cm3 ______1 m3 Write the letter of your answer here: _____
Convert the following measurements:
4. 300 cm = ______m
a. 0.3 m
b. 3 m
c. 30 m
d. 300 m
5. 0.5 kg = ______g
a. 5 g
b. 50 g
c. 500 g
d. 5000 g
6. 4 ft2 = ______in2
a. 40 in2
b. 48 in2
c. 400 in2
d. 576 in2
7. 4 cups = ______oz
a. 8 oz
b. 16 oz
c. 32 oz
d. 40 oz
8. 2 hours and 30 minutes = ______minutes
a. 150 minutes
b. 180 minutes
c. 90 minutes
d. 63 minutes
9. 3 days = ______hours
a. 24 hours
b. 27 hours
c. 36 hours
d. 72 hours
10. Show how you could divide this figure into rectangles & triangles to make it easier to find its area.
11. Explain why the formula for finding the area of a triangle (A = ½ bh ) makes sense in terms of the area of a rectangle (use a drawing in your explanation).
12. Use this drawing of a rectangle to find the area of triangle A.
a. 16
b. 30
c. 32
d. 60
13. What is the area of this triangle?
a. 11
b. 12
c. 14
d. 24
14. Explain why the formula for finding the area of a parallelogram makes sense. Include a drawing with your explanation. The formula for the area of a parallelogram is A = bh.
15. What is the area of this parallelogram?
a) 13 cm2
b) 18 cm2
c) 26 cm2
d) 36 cm2
16. Give the abbreviation for the following units of volume:
cubic centimeters: ______
cubic meter: ______
cubic inches: ______
cubic feet: ______
cubic yards: ______
Answer Key
1 / cubic yards / M.UN.05.02 Know the units of measure of volume: cubic centimeter, cubic meter, cubic inches, cubic feet, cubic yards, and use their abbreviations (cm3, m3, in3, ft3, yd3).
2 / a / M.UN.05.03 Compare the relative sizes of one cubic inch to one cubic foot, and one cubic centimeter to one cubic meter.
3 / a / M.UN.05.03 Compare the relative sizes of one cubic inch to one cubic foot, and one cubic centimeter to one cubic meter.
4 / b / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
5 / c / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
6 / d / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
7 / c / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
8 / a / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
9 / d / M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulable numbers.
10 / Drawing should show the parallelogram divided into rectangles and triangles, whose areas could be found and then added together. For example, the drawing at right shows one rectangle (in the middle) and two triangles. The length of the base of the parallelogram / M.PS.05.05 Represent relationships between areas of rectangles, triangles, and parallelograms using models.
11 / Explanation should show that two triangles can be drawn inside a rectangle (along the diagonal), making the area of the triangle ½ the area of the rectangle (bh). / M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives.
12 / b / M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives.
13 / b / M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives.
14 / Explanation should show how a parallelogram can be divided into a rectangle and two triangles. The area of the parallelogram is the sum of the areas of all three figures. The two triangles are 2 x ½ b1h, and the rectangle is b2h, where the total base b = b1 + b2. / M.TE.05.07 Understand and know how to use the area formula for a parallelogram: A = bh, and represent using models and manipulatives.
15 / d / M.TE.05.07 Understand and know how to use the area formula for a parallelogram: A = bh, and represent using models and manipulatives.
16 / cm3 (or cc); m3; in3; ft3; yds3 / M.UN.05.02 Know the units of measure of volume: cubic centimeter, cubic meter, cubic inches, cubic feet, cubic yards, and use their abbreviations (cm3, m3, in3, ft3, yd3).
17 / d / M.UN.05.01 Recognize the equivalence of 1 liter, 1000 ml and 1000 cm3 and include conversions among liters, milliliters, and cubic centimeters.
18 / a / M.UN.05.01 Recognize the equivalence of 1 liter, 1000 ml and 1000 cm3 and include conversions among liters, milliliters, and cubic centimeters.
19 / c / M.UN.05.01 Recognize the equivalence of 1 liter, 1000 ml and 1000 cm3 and include conversions among liters, milliliters, and cubic centimeters.
20 / Any dimensions that multiply to 120, e.g. 10 in. x 2 in. x 6 in. or 5 in. x 2 in. x 12 in., etc. / M.PS.05.10 Solve applied problems about the volumes of rectangular prisms using multiplication and division and using the appropriate units.
21 / Any dimensions that result in cutting the volume by 1/3, such as length 4 in., width 4 in., height 6 in. or length 12 in., width 4 in., height 2 in. etc. Volume of each section is 96 cubic inches. / M.PS.05.10 Solve applied problems about the volumes of rectangular prisms using multiplication and division and using the appropriate units.
Will not appear on the MEAP test (NASL). / M.TE.05.08 Build solids with unit cubes and state their volumes.
Will not appear on the MEAP test (NASL). / M.TE.05.09 Use filling (unit cubes or liquid) and counting or measuring to find the volume of a cube and rectangular prism.
GLCEs in grey are designated as “future core” by MEAP. Items for those GLCEs are on the following pages.
5th Grade Measurement Name
Future Core Items
17. Which of the following is equivalent to 1 liter?
a. 1 cm3
b. 10 ml
c. 100 ml
d. 1000 ml
18. 4500 ml = ______liter
a. 4.5 liter
b. 45 liter
c. 450 liter
d. 4,500,000 liter
19. 350 ml = ______cm3
a. 3.5 cm3
b. 35 cm3
c. 350 cm3
d. 3500 cm3
20. The Puff & Stuff Cereal Company wants to package their cereal in 120 cm3 boxes. Give the dimensions of a box they could use (include units in your answer).
21. Jake has an aquarium with the following dimensions:
length = 12 in, width = 4 in, and height = 6 in.
He needs to separate the tank into 3 equal sections for his 3 different fish species. After separating the tank, what will be the dimensions & volume of each section?
Dimensions
length ______
width ______
height ______
Volume ______
Jackson Co. ISD & Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY v1.3 08/26/05 p. 9