G4 U9 Constructed Response Rubric
Grade 4 Unit 9 Constructed Response Measurement (US Customary and Metric) Description Common Core State Standard for Mathematical Content (MC)
Standards for Mathematical Practice (MP)
4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
MP.1 MP.2 MP.6 MP.7 MP.8
2. Word Problems: Converting Distance, Mass, and Volume in the US Customary System
4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
MP.1 MP.2 MP.3 MP.6 MP.7 MP.8
3. Word Problems: Converting Time and Distance, Mass, and Volume in the Metric System
4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
MP.1 MP.2 MP.6 MP.7 MP.8
Task 1. Converting Distance, Mass, Volume, and Time
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 9 Constructed Response Rubric, Page 1
Scoring Rubric Question 1. a. Student completes the chart with the correct lengths. Award one half point for each correct response. Length Length Field (yards) (feet) Football
100
300
Baseball Diamond
30
90
Cricket
22
66
b. Student completes the chart with the correct lengths. Award one half point for each correct response. Length Length Field (km) (m) Rugby
0.144
144
Ultimate Frisbee
0.064
64
Soccer
0.110
110
2. a. Student completes the chart with the correct masses. Award one half point for each correct response. Mass Mass Sports Equipment (lb) (oz) Racing Bike Football Gear Soccer Cleats
17
272
10½
168
1½
24
b. Student completes the chart with the correct masses. Award one half point for each correct response. Mass Mass Sports Equipment (kg) (g) Baseball Bat
0.96
960
Ping Pong Paddle
0.089
89
1.3
1,300
Cricket Bat
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 2
Points 1.5
1.5
1.5
1.5
Total
3. a. Student completes the chart with the correct volumes. Award one half point for each correct response. Volume Volume Container (cups) (fl oz) Bottle of Honey Sports Drink Bottle Milk Jug
1
8
2½
20
8
64
b. Student completes the chart with the correct volumes. Award one half point for each correct response. Volume Volume Container (L) (mL) 2
2,000
Laundry Detergent
6.21
6,210
Carton of Soy Milk
1.25
1,250
Bottle of Soda
4. Student completes the chart with the correct time. Award one half point for each correct response. Time Time Time Player (hour) (minutes) (seconds) 1
60
3,600
Mike Miller
3/ 4
45
2,700
Shawn Silverado
l/ 3
20
1,200
Jake Jackson
1.5
1.5
3
5. a. Student gives the correct answer and shows accurate work: ½ of a foot (6 inches) b. Student gives the correct answer and shows accurate work: 4 2/3 yards
1
6. a. Student gives the correct answer and shows accurate work: 4 ½ lb b. Student gives an accurate explanation. Responses may vary. Sample response: To find my answer, first I saw there was already 1 pound, and 8 ounces and ½ a pound equal another pound. So far I have 2 lb. This left me with just 28 oz and 12 oz, which I added to get 40 oz. Since I know there are 16 ounces in a pound, I know there are 32 ounces in 2 pounds. When I take 32 oz from 40 oz, I am left with 8 oz, which I recognize as half a pound. So 2 lb + 2 ½ lb = 4 ½ lb. 7. a. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: No, Lilit will not have enough mineral water for 25 servings if she brings 4 bottles. She will need 8 bottles, twice as many
1 2
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 3
1
2
as she calculated. I found this by multiplying 25 servings times 8 fl oz (8 fl oz = 1 cup). She needs 200 fl oz of mineral water. Each bottle contains 25 fl oz. 200 ÷25 = 8 bottles. b. Student gives the correct answer and shows accurate work. $2.00 8. a. Student gives the correct answer. 1:15 a.m. b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: Romero fell asleep at 8:50 p.m. I found this by subtracting 2 hours from 10:35 p.m., then adding back 15 minutes (because an hour and 45 minutes is 15 minutes less than 2 hours). Two hours before 10:35 p.m. is 8:35 p.m. 8:35 plus 15 minutes is 8:50 p.m. c. Student gives the correct answer and shows accurate work. 48,000 meters 9. a. Student gives the correct answer and shows accurate work. 82 kg b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: One brother should carry Mama’s suitcase and Gabriel’s backpack. The other brother should carry Romero’s duffel bag, Papi’s suitcase, and the baby’s diaper bag. I know this because the total mass of all the luggage is 82 kg. If the brothers carried equal masses, each would carry 41 kg because 82 ÷2 = 41. Mama’s suitcase weighs 21.6 kg and Gabriel’s backpack weighs 19.4 kg. This adds to 41 kg, exactly half of the total weight. Romero’s duffel bag (14 kg) + Papi’s suitcase (18 kg) and the baby’s diaper bag (9 kg) also adds to 41 kg.
1 1 2
1 1 2
10. a. Student gives the correct answer and shows accurate work. 12 bottles of water b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: 500 mL is the same as half a liter. Since there are 2,000 mL left, there must be 4 bottles of water left. I know they started with 12 bottles. 12 – 4 = 8, so they must have consumed 8 bottles of water on the trip.
1
Total
30
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 4
2
Standards for Mathematical Practice (MP)
4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
MP.1 MP.2 MP.6 MP.7 MP.8
2. Word Problems: Converting Distance, Mass, and Volume in the US Customary System
4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
MP.1 MP.2 MP.3 MP.6 MP.7 MP.8
3. Word Problems: Converting Time and Distance, Mass, and Volume in the Metric System
4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
MP.1 MP.2 MP.6 MP.7 MP.8
Task 1. Converting Distance, Mass, Volume, and Time
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 9 Constructed Response Rubric, Page 1
Scoring Rubric Question 1. a. Student completes the chart with the correct lengths. Award one half point for each correct response. Length Length Field (yards) (feet) Football
100
300
Baseball Diamond
30
90
Cricket
22
66
b. Student completes the chart with the correct lengths. Award one half point for each correct response. Length Length Field (km) (m) Rugby
0.144
144
Ultimate Frisbee
0.064
64
Soccer
0.110
110
2. a. Student completes the chart with the correct masses. Award one half point for each correct response. Mass Mass Sports Equipment (lb) (oz) Racing Bike Football Gear Soccer Cleats
17
272
10½
168
1½
24
b. Student completes the chart with the correct masses. Award one half point for each correct response. Mass Mass Sports Equipment (kg) (g) Baseball Bat
0.96
960
Ping Pong Paddle
0.089
89
1.3
1,300
Cricket Bat
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 2
Points 1.5
1.5
1.5
1.5
Total
3. a. Student completes the chart with the correct volumes. Award one half point for each correct response. Volume Volume Container (cups) (fl oz) Bottle of Honey Sports Drink Bottle Milk Jug
1
8
2½
20
8
64
b. Student completes the chart with the correct volumes. Award one half point for each correct response. Volume Volume Container (L) (mL) 2
2,000
Laundry Detergent
6.21
6,210
Carton of Soy Milk
1.25
1,250
Bottle of Soda
4. Student completes the chart with the correct time. Award one half point for each correct response. Time Time Time Player (hour) (minutes) (seconds) 1
60
3,600
Mike Miller
3/ 4
45
2,700
Shawn Silverado
l/ 3
20
1,200
Jake Jackson
1.5
1.5
3
5. a. Student gives the correct answer and shows accurate work: ½ of a foot (6 inches) b. Student gives the correct answer and shows accurate work: 4 2/3 yards
1
6. a. Student gives the correct answer and shows accurate work: 4 ½ lb b. Student gives an accurate explanation. Responses may vary. Sample response: To find my answer, first I saw there was already 1 pound, and 8 ounces and ½ a pound equal another pound. So far I have 2 lb. This left me with just 28 oz and 12 oz, which I added to get 40 oz. Since I know there are 16 ounces in a pound, I know there are 32 ounces in 2 pounds. When I take 32 oz from 40 oz, I am left with 8 oz, which I recognize as half a pound. So 2 lb + 2 ½ lb = 4 ½ lb. 7. a. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: No, Lilit will not have enough mineral water for 25 servings if she brings 4 bottles. She will need 8 bottles, twice as many
1 2
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 3
1
2
as she calculated. I found this by multiplying 25 servings times 8 fl oz (8 fl oz = 1 cup). She needs 200 fl oz of mineral water. Each bottle contains 25 fl oz. 200 ÷25 = 8 bottles. b. Student gives the correct answer and shows accurate work. $2.00 8. a. Student gives the correct answer. 1:15 a.m. b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: Romero fell asleep at 8:50 p.m. I found this by subtracting 2 hours from 10:35 p.m., then adding back 15 minutes (because an hour and 45 minutes is 15 minutes less than 2 hours). Two hours before 10:35 p.m. is 8:35 p.m. 8:35 plus 15 minutes is 8:50 p.m. c. Student gives the correct answer and shows accurate work. 48,000 meters 9. a. Student gives the correct answer and shows accurate work. 82 kg b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: One brother should carry Mama’s suitcase and Gabriel’s backpack. The other brother should carry Romero’s duffel bag, Papi’s suitcase, and the baby’s diaper bag. I know this because the total mass of all the luggage is 82 kg. If the brothers carried equal masses, each would carry 41 kg because 82 ÷2 = 41. Mama’s suitcase weighs 21.6 kg and Gabriel’s backpack weighs 19.4 kg. This adds to 41 kg, exactly half of the total weight. Romero’s duffel bag (14 kg) + Papi’s suitcase (18 kg) and the baby’s diaper bag (9 kg) also adds to 41 kg.
1 1 2
1 1 2
10. a. Student gives the correct answer and shows accurate work. 12 bottles of water b. Student gives the correct answer and an accurate explanation. Wording may vary. Sample response: 500 mL is the same as half a liter. Since there are 2,000 mL left, there must be 4 bottles of water left. I know they started with 12 bottles. 12 – 4 = 8, so they must have consumed 8 bottles of water on the trip.
1
Total
30
Copyright © Swun Math Grade 4 Unit 9 Constructed Response Rubric, Page 4
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