G4 U8 Constructed Response
Name: ________________________________________ Date:_______________
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 1: Line Plots (MC: 4.MD.4; MP: 1, 2, 3, 4, 6, 7, 8) 1. The golf department manager at the local sporting goods store just measured the length of all the golf clubs they have in stock. The line graph shows his data. X X
X
X
X
X
X
X
X
X
X
43
43 2
1
42 2
1
44
X 1
44 2
45
Length of Golf Clubs (inches)
a. How much longer is the longest golf club than the shortest?
b. What is the total length of the two shortest golf clubs?
c. What is the total length of the shortest and the longest golf clubs?
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 1, Page 1
2. Before starting his soccer game, Joe practiced his backward passes. He tried ten times to pass the ball to a cone 6 yards away. These are all the distances Joe passed the ball.
X X X 5
1
54
X 1
52
3
54
X
X
X
X
X
6
64
1
1
62
X 3
64
7
Distances of Joe’s Backward Passes (yards)
a. What is the total distance of Joe’s longest five passes?
b. What is the difference between Joe’s two longest and two shortest passes?
c. Joe told his friends he kicked the ball a total of more than 60 yards while practicing backward passes. Is he correct? Explain.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 2
3. Coach had all the team members run a lap around the soccer field at the end of practice. These are the times each player finished in minutes. 1
1
2
1
2 4
1 1
3 4
3 4
1
1 4
2
1
1
2
1
2 4
1
1
1
3
2 4
1
3
2
1
4 4
1
3
1
1
4 2
2 1
1 2
2 2
1 4
1
1
1
1
4 4
a. Draw a line plot to represent this data.
b. What is the combined time of the ten fastest players (those who took the least time to run around the soccer field)?
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 3
Name: ________________________________________ Date:_______________
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 2: Area (MC: 4.MD.3; MP: 1, 2, 3, 4, 6, 7, 8) 4. Find the area of these sport surfaces. Show your work. a. The inbound area of play on a bocce court is 16 feet long and 13 feet wide.
16 ft
Area
13 ft
b. Ultimate Frisbee is played on a field that is 64 meters long and 37 meters wide.
64 m
Area
37 m
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 4
c. A badminton court is 44 feet long and 20 feet wide. Margo found the area of a badminton court to be 128 square feet. Is she correct?
A = (2 x length) + (2 x width) A = (2 x 44 ft) + (2 x 20 ft) 44 ft
A = 88 ft + 40 ft A = 128 ft
20 ft
Did Margo find the correct area? Explain why or why not.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 5
5. Find the lengths of the missing sides using the area formula. Show your work. a. A volleyball court is 60 ft long and has a total area of 1,800 ft2. How wide is it? Width
b. A singles tennis court is 9 yards wide and has an area of 117 yd2. What is its length? Length
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 6
c. A basketball court has an area of 4,700 ft2 and is 50 feet wide. How long is it? Length
d. A baseball diamond has an area of 8,100 square feet and is 90 feet long. How wide is it? Width
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 7
6. The school district just started a field hockey program and ordered 5,100 square meters of synthetic grass to put on the high school’s new field (called a 4 pitch). The pitch is 55 meters wide and 91 meters long. 10
a. What is the area of the field hockey pitch? Show your work.
b. Did the school district order enough synthetic grass? Explain how you know.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 8
Name: ________________________________________ Date:_______________
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 3: Perimeter (MC: 4.MD.3; MP: 1, 2, 4, 6, 7, 8) 7. Find the perimeter of the sports equipment. Show your work. 2
a. A volleyball net is 1 yard tall and 10 yards long. 3
1 yd 2
10 3 yd Perimeter
1
b. A basketball backboard is 6 feet wide and 3 feet tall. 2
6 ft
1
3 2 ft
Perimeter
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 9
c. A baseball base is a square with a side length of 15 inches. Use the perimeter formula. Perimeter
1
d. The football scorekeeper’s table is 20 inches wide and 23 inches long. 2 Use the perimeter formula. Perimeter
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 10
8. Find the lengths of the missing sides. Use the perimeter formula. Show your work. 1
a. A playground handball court has a perimeter of 48 feet. The ball wall is 8 2 feet wide. How long is the court? Length
b. The perimeter of the stencil used to paint the map of the USA on the 2 playground is 28 feet. It is 9 feet long. How wide is it? 3
Width
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 11
1
9. A ping pong table is 5 feet wide. The distance from the net to each end is 4 2 feet. a. Find the perimeter of the ping pong table. Show your work. 1
4 2 ft
1
4 2 ft
5 ft
Perimeter
b. Explain how you solved the problem.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 12
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 1: Line Plots (MC: 4.MD.4; MP: 1, 2, 3, 4, 6, 7, 8) 1. The golf department manager at the local sporting goods store just measured the length of all the golf clubs they have in stock. The line graph shows his data. X X
X
X
X
X
X
X
X
X
X
43
43 2
1
42 2
1
44
X 1
44 2
45
Length of Golf Clubs (inches)
a. How much longer is the longest golf club than the shortest?
b. What is the total length of the two shortest golf clubs?
c. What is the total length of the shortest and the longest golf clubs?
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 1, Page 1
2. Before starting his soccer game, Joe practiced his backward passes. He tried ten times to pass the ball to a cone 6 yards away. These are all the distances Joe passed the ball.
X X X 5
1
54
X 1
52
3
54
X
X
X
X
X
6
64
1
1
62
X 3
64
7
Distances of Joe’s Backward Passes (yards)
a. What is the total distance of Joe’s longest five passes?
b. What is the difference between Joe’s two longest and two shortest passes?
c. Joe told his friends he kicked the ball a total of more than 60 yards while practicing backward passes. Is he correct? Explain.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 2
3. Coach had all the team members run a lap around the soccer field at the end of practice. These are the times each player finished in minutes. 1
1
2
1
2 4
1 1
3 4
3 4
1
1 4
2
1
1
2
1
2 4
1
1
1
3
2 4
1
3
2
1
4 4
1
3
1
1
4 2
2 1
1 2
2 2
1 4
1
1
1
1
4 4
a. Draw a line plot to represent this data.
b. What is the combined time of the ten fastest players (those who took the least time to run around the soccer field)?
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 3
Name: ________________________________________ Date:_______________
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 2: Area (MC: 4.MD.3; MP: 1, 2, 3, 4, 6, 7, 8) 4. Find the area of these sport surfaces. Show your work. a. The inbound area of play on a bocce court is 16 feet long and 13 feet wide.
16 ft
Area
13 ft
b. Ultimate Frisbee is played on a field that is 64 meters long and 37 meters wide.
64 m
Area
37 m
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 4
c. A badminton court is 44 feet long and 20 feet wide. Margo found the area of a badminton court to be 128 square feet. Is she correct?
A = (2 x length) + (2 x width) A = (2 x 44 ft) + (2 x 20 ft) 44 ft
A = 88 ft + 40 ft A = 128 ft
20 ft
Did Margo find the correct area? Explain why or why not.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 5
5. Find the lengths of the missing sides using the area formula. Show your work. a. A volleyball court is 60 ft long and has a total area of 1,800 ft2. How wide is it? Width
b. A singles tennis court is 9 yards wide and has an area of 117 yd2. What is its length? Length
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 6
c. A basketball court has an area of 4,700 ft2 and is 50 feet wide. How long is it? Length
d. A baseball diamond has an area of 8,100 square feet and is 90 feet long. How wide is it? Width
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 7
6. The school district just started a field hockey program and ordered 5,100 square meters of synthetic grass to put on the high school’s new field (called a 4 pitch). The pitch is 55 meters wide and 91 meters long. 10
a. What is the area of the field hockey pitch? Show your work.
b. Did the school district order enough synthetic grass? Explain how you know.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 2, Page 8
Name: ________________________________________ Date:_______________
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) TASK 3: Perimeter (MC: 4.MD.3; MP: 1, 2, 4, 6, 7, 8) 7. Find the perimeter of the sports equipment. Show your work. 2
a. A volleyball net is 1 yard tall and 10 yards long. 3
1 yd 2
10 3 yd Perimeter
1
b. A basketball backboard is 6 feet wide and 3 feet tall. 2
6 ft
1
3 2 ft
Perimeter
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 9
c. A baseball base is a square with a side length of 15 inches. Use the perimeter formula. Perimeter
1
d. The football scorekeeper’s table is 20 inches wide and 23 inches long. 2 Use the perimeter formula. Perimeter
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 10
8. Find the lengths of the missing sides. Use the perimeter formula. Show your work. 1
a. A playground handball court has a perimeter of 48 feet. The ball wall is 8 2 feet wide. How long is the court? Length
b. The perimeter of the stencil used to paint the map of the USA on the 2 playground is 28 feet. It is 9 feet long. How wide is it? 3
Width
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 11
1
9. A ping pong table is 5 feet wide. The distance from the net to each end is 4 2 feet. a. Find the perimeter of the ping pong table. Show your work. 1
4 2 ft
1
4 2 ft
5 ft
Perimeter
b. Explain how you solved the problem.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response, Task 3, Page 12
