Benchmarks that are Measured in this Quizlet
Benchmark Code / Benchmark / Item #
6.SMC.NS.1.1-1.b / Interpret quotients of fractions / 1, 2
6.SMC.NS.1.1-2.b / Compute quotients of fractions / 3, 4, 5
6.SMC.NS.1.1-3.b / Solve word problems involving division of fractions by fractions / 6, 7, 8
6.SMP.2.c / Reason abstractly and quantitatively / 8

August 2015

MATHGR6 NSQUIZLET 1

Teacher Key

Teacher Key: Divide Fractions by Fractions
Item / Benchmark Code / Benchmark / Correct Answer / Number of Points
1. / 6.SMC.NS.1.1-1.b / Interpret quotients of fractions / SR / 4
2. / 6.SMC.NS.1.1-1.b / Interpret quotients of fractions / SR / 4
3. / 6.SMC.NS.1.1-2.b / Compute quotients of fractions / D / 1
4. / 6.SMC.NS.1.1-2.b / Compute quotients of fractions / A / 1
5. / 6.SMC.NS.1.1-2.b / Compute quotients of fractions / D / 1
6. / 6.SMC.NS.1.1-3.b / Solve word problems involving division of fractions by fractions / C / 1
7. / 6.SMC.NS.1.1-3.b / Solve word problems involving division of fractions by fractions / SR / 2
8. / 6.SMC.NS.1.1-3.b / Solve word problems involving division of fractions by fractions / PB / 8
6.SMP.2.c / Reason abstractly and quantitatively

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MATHGR6 NS QUIZLET 1

Teacher Key

Explained Answers

short response Explained Answers
ITEM 1. Pancake Sprinkles(4 points)
Benchmark: 6.SMC.NS.1.1-1.b Interpret quotients of fractions
Item Stem / Responses / Points
George is decorating cupcakes. He has 1 cups of sprinkles. Each cupcake uses cup sprinkles.
Part AWrite an equation using division that represents how George can find the number of cupcakes on which he could apply the sprinkles. / / 2 points for correct response
Part BUsing the words below label each term in the above equation. Number of cupcakes, Total amount of sprinkles, Sprinkles per cupcake / Total amount of sprinkles ÷ Sprinkles per cupcake = Number of cupcakes / 2 points for correct response
short response Explained Answers
ITEM 2.Nature Walk (4 points)
Benchmark: 6.SMC.NS.1.1-1.b Interpret quotients of fractions
Item Stem / Responses / Points
Part AHanna is taking a nature walk. If the path is 2 miles long and she has 1 hours to walk, write an equation to determine how far she should walk each hour. / / 2 points for correct response
Part BSolve the equation. /
/ 2 points for correct response

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MATHGR6 NS QUIZLET 1

Teacher Key

short response Explained Answers
ITEM 7. Sour Cream Servings(2 points)
Benchmark: 6.SMC.NS.1.1-3.b Solve word problems involving division of fractions by fractions
Item Stem / Responses / Points
How many cup servings are there in a 2 cup container of sour cream? /
/ 2 points for correct response

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MATHGR6 NS QUIZLET 1

Teacher Key

performance-based Rubric
ITEM 8.Horse vs. Car(8 points)
Benchmark: 6.SMC.NS.1.1-3.b Solve word problems involving division of fractions by fractions
Benchmark: 6.SMP.2.c Reason abstractly and quantitatively
Item Stem: A thoroughbred race horse can run 1 miles in 2 minutes. The first Ford cars in 1900 could not travel as fast as a car of today. A modern Ford Focus ST car has a top speed of 154 mph.Guess what the top speed of a car in 1900 was.
A car from 1900 may have traveled a top speed of ______miles per hour.
Calculate the speed of both the race horse and a car from 1900, in the same units, and determine which would win in a race.
Possible Responses:
A thoroughbred race horse can run 1 miles in 2 minutes.
1 miles 2 minutes = mile per minute
2 minutes minutes = hour
1 miles hour = miles per hour is the speed of the horse
A car from 1900 may have traveled a top speed of 30 miles per hour. (responses may vary)
30 miles 60 minutes = mile per minute
The horse would win the race if the car traveled less than 36 miles per hour, otherwise the car would win the race. / Level / Criteria
4.0
(7-8 Points) / In addition to the understanding in Level 3.0, the student exhibits in-depth inferences and applications that go beyond what was taught.
3.0
(5-6 Points) / The student exhibits no major errors or omissions at sixthgrade level by:
  • 6.SMC.NS.1.1-3.b Solving word problems involving division of fractions by fractions.
  • 6.SMP.2.c Reasoning abstractly and quantitatively by demonstrating the multiple step process in calculating mph from fractions.

2.0
(3-4 Points) / The student exhibits major errors or omissions regardingthe more complex ideas and processes, but makes no major errors or omissions regarding the simpler details and processes at sixthgrade level, including:
  • 6.SMC.NS.1.1-3.b Solving the first calculation but does not complete the final answer correctly.
  • 6.SMP.2.cDoes not demonstrate understanding of all of the steps to solve the problem.

1.0
(1-2 Points) / With help, the student demonstrates partial understanding of some of the score 2.0 elements and some of the score 3.0 elements at the sixthgrade level.
0.0
(0 Points) / Even with help, the student demonstrates little understanding of skills.

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