G4 U8 Constructed Response Rubric
Grade 4 Unit 8 Constructed Response Measurement (Data, Area, and Perimeter) Description Task
Common Core State Standard for Mathematical Content (MC)
1. Line Plots
4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.
2. Area
4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
3. Perimeter
4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Standards for Mathematical Practice (MP) MP.1 MP.2 MP.3 MP.4 MP.6 MP.7 MP.8 MP.1 MP.2 MP.3 MP.4 MP.6 MP.7 MP.8 MP.1 MP.2 MP.4 MP.6 MP.7 MP.8
Note to Teacher: The following scoring rubric should be used as a guide to determine points given to students for each question answered. Students are required to show the process through which they arrived at their answers for every question involving problem solving. For questions involving a written answer, full points should be given to answers that are written in complete sentences which address each component of the questions being asked.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 1
Scoring Rubric Question
Points 1 1 1
1
1. a. Student gives the correct answer: 2 2 inches b. Student gives the correct answer: 85 inches 1 c. Student gives the correct answer: 87 2 inches 1
2. a. Student gives the correct answer: 32 4 yards 1
b. Student gives the correct answer: 2 4 yards c. Student gives the correct answer and an accurate explanation. Wording may vary. Sample explanation: Yes, Joe kicked the ball more than 60 yards. When I added the length of all ten kicks, I found he kicked the ball 3 a total distance of 60 4 yards. 3. a. Student creates a line plot that correctly represents the given data. (including horizontal scale and title). See sample line plot. [NOTE: The first and last numbers on the horizontal scale do not need to match the model, but must include the range of data.]: X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
2
24
1
14
1
12
3
14
1 1 2
2
X
1
Running Times (minutes) 3
b. Student gives the correct answer: 14 4 minutes 4. a. Student gives the correct answer and shows accurate work: 208 ft2 b. Student gives the correct answer and shows accurate work: 2,368 m2 c. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: No, Margo did not find the correct area of the badminton court. She used the formula for perimeter instead. She should have found the area with the area formula. A=l×w 20 ft×44 ft = 880 ft2
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 2
1 1 1 2
Total
5. a. Student gives the correct answer and shows accurate work using the area formula: 30 ft b. Student gives the correct answer and shows accurate work using the area formula: 13 yd c. Student gives the correct answer and shows accurate work using the area formula: 94 ft d. Student gives the correct answer and shows accurate work using the area formula: 90 ft 6. a. Student gives the correct answer and shows accurate work. 5,027 m2 b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample explanation: Yes, the school district ordered enough synthetic grass. The area of the pitch is 5,027 m2, which is less than the 5,100 m2 they ordered. 1 7. a. Student gives the correct answer and shows accurate work: 23 3 yd b. Student gives the correct answer and shows accurate work: 19 ft c. Student gives the correct answer and shows accurate work using the perimeter formula: 60 inches d. Student gives the correct answer and shows accurate work using the perimeter formula: 87 inches 8. a. Student gives the correct answer and shows accurate work using the 1 perimeter formula: 16 4 ft b. Student gives the correct answer and shows accurate work using the 1 perimeter formula: 5 3 ft
1
9. a. Student gives the correct answer and shows accurate work: 28 ft b. Student gives an accurate explanation. Responses may vary. Sample response: I solved the problem by adding the distance from the net to 1 1 each side to find the total length of the side (4 2 ft + 4 2 ft = 9 ft). Then I used the formula P=(2×l)+(2×w). P = (2×5)+(2×9) = 10+18=28 feet. The perimeter of the ping pong table is 28 feet.
1 2
Total
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 3
1 1 1 1 2
1 1 1 1 1 1
30
Common Core State Standard for Mathematical Content (MC)
1. Line Plots
4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots.
2. Area
4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
3. Perimeter
4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Standards for Mathematical Practice (MP) MP.1 MP.2 MP.3 MP.4 MP.6 MP.7 MP.8 MP.1 MP.2 MP.3 MP.4 MP.6 MP.7 MP.8 MP.1 MP.2 MP.4 MP.6 MP.7 MP.8
Note to Teacher: The following scoring rubric should be used as a guide to determine points given to students for each question answered. Students are required to show the process through which they arrived at their answers for every question involving problem solving. For questions involving a written answer, full points should be given to answers that are written in complete sentences which address each component of the questions being asked.
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 1
Scoring Rubric Question
Points 1 1 1
1
1. a. Student gives the correct answer: 2 2 inches b. Student gives the correct answer: 85 inches 1 c. Student gives the correct answer: 87 2 inches 1
2. a. Student gives the correct answer: 32 4 yards 1
b. Student gives the correct answer: 2 4 yards c. Student gives the correct answer and an accurate explanation. Wording may vary. Sample explanation: Yes, Joe kicked the ball more than 60 yards. When I added the length of all ten kicks, I found he kicked the ball 3 a total distance of 60 4 yards. 3. a. Student creates a line plot that correctly represents the given data. (including horizontal scale and title). See sample line plot. [NOTE: The first and last numbers on the horizontal scale do not need to match the model, but must include the range of data.]: X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
2
24
1
14
1
12
3
14
1 1 2
2
X
1
Running Times (minutes) 3
b. Student gives the correct answer: 14 4 minutes 4. a. Student gives the correct answer and shows accurate work: 208 ft2 b. Student gives the correct answer and shows accurate work: 2,368 m2 c. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: No, Margo did not find the correct area of the badminton court. She used the formula for perimeter instead. She should have found the area with the area formula. A=l×w 20 ft×44 ft = 880 ft2
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 2
1 1 1 2
Total
5. a. Student gives the correct answer and shows accurate work using the area formula: 30 ft b. Student gives the correct answer and shows accurate work using the area formula: 13 yd c. Student gives the correct answer and shows accurate work using the area formula: 94 ft d. Student gives the correct answer and shows accurate work using the area formula: 90 ft 6. a. Student gives the correct answer and shows accurate work. 5,027 m2 b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample explanation: Yes, the school district ordered enough synthetic grass. The area of the pitch is 5,027 m2, which is less than the 5,100 m2 they ordered. 1 7. a. Student gives the correct answer and shows accurate work: 23 3 yd b. Student gives the correct answer and shows accurate work: 19 ft c. Student gives the correct answer and shows accurate work using the perimeter formula: 60 inches d. Student gives the correct answer and shows accurate work using the perimeter formula: 87 inches 8. a. Student gives the correct answer and shows accurate work using the 1 perimeter formula: 16 4 ft b. Student gives the correct answer and shows accurate work using the 1 perimeter formula: 5 3 ft
1
9. a. Student gives the correct answer and shows accurate work: 28 ft b. Student gives an accurate explanation. Responses may vary. Sample response: I solved the problem by adding the distance from the net to 1 1 each side to find the total length of the side (4 2 ft + 4 2 ft = 9 ft). Then I used the formula P=(2×l)+(2×w). P = (2×5)+(2×9) = 10+18=28 feet. The perimeter of the ping pong table is 28 feet.
1 2
Total
Copyright © Swun Math Grade 4 Unit 8 Constructed Response Rubric, Page 3
1 1 1 1 2
1 1 1 1 1 1
30
