Math
Released Item 2016
Grade 6
Batches of Snack Mix
VH144128
Rubric Part A
Score Description
4
Student response includes the following 4 elements.
•
Computation component = 1 point
o The student provides a response of 15 batches.
•
Modeling component = 1 point
o The student provides a correct modeling procedure to find the
total amount of snack mix needed.
•
Computation component = 1 point
o The student provides a correct modeling procedure to find the
total amount of snack mix from one recipe.
•
Modeling component = 1 point
o The student provides a correct modeling procedure to find the
number of batches or the number of time the recipe needs to be
made.
Sample Student Response:
“If each person will receive 3 cup, the 200 people would receive
4
200 × 3 =
150 cups. The total amount of snack mix for one recipe would
4
1
be 2
+ 41 + 21 + 3 =
10 cups. Since the recipe makes 10 cups of
2
2
4
4
snack mix, and 150 cups are needed, the number of batches that need to be
made is 150 ÷ 10 =
15 batches.”
3
Student response includes 3 of the above elements.
2
Student response includes 2 of the above elements.
1
Student response includes 1 of the above elements.
0
Student response is incorrect or irrelevant.
Rubric Part B
Score Description
2
Student response includes the following 2 elements.
•
Computation component = 1 point
o The student correctly calculates the amount of pretzels ( 37
cups or equivalent), the amount of dry cereal ( 67
1
2
1
cups or
2
3
equivalent), the amount of peanuts ( 33 cups or equivalent),
4
•
1
and the amount of raisins ( 11 cups or equivalent).
4
Modeling component = 1 point
o The student provides a correct modeling procedure to find the
amount of each ingredient that is needed.
Sample Student Response:
“To find the amount of each ingredient that is needed, multiply the 15
batches by the amount of the ingredient. Pretzels: 15 × 2 1 =
37 1 cups,
2
2
1
1
1
3
Cereal: 15 × 4
cups, Peanuts: 15 × 2
cups, and
=
67
=
33
2
2
4
4
Raisins: 15 × 3 =
11 1 cups.”
4
4
Notes:
•
•
The student may receive a combined total of 4 points if the modeling
processes are correct but the student makes more than one
computational errors resulting in incorrect answers.
The student may receive a total of 2 points if he or she computes the
correct answer but shows no work or insufficient work to indicate a
correct modeling process.
1
Student response includes 1 of the above elements.
0
Student response is incorrect or irrelevant.
Anchor Set
A1 – A12
With Annotations
A1
Part A: Score Point 4
Part B: Score Point 2
Annotation
Anchor Paper 1
Part A: Score Point 4
This response receives full credit. It includes each of the four required
elements:
•
The response provides a response of 15 batches
(she will need to bake 15 batches)
•
The response provides the correct modeling component to find the total
amount of snack mix needed (Now, we need to know how many cups
200 servings is. ¾ x 200/1 = 600/4 = 150 cups).
•
The response provides the correct modeling component to find the total
amount of snack mix needed for one recipe (First, we must add the
ingredients to find how many cups each batch makes 2 ½ + 4 ½ + 2 ¼
+ ¾ = 10 cups).
•
The response provides the correct modeling to find the number of
batches or the number of times the recipe needs to be made (If 200
servings is 150 cups, and 1 batch is 10 cups, then she will need to
bake 15 batches. 150/10 = 15)
Part B: Score Point 2
This response receives full credit. It includes each of the two required
elements:
•
The response provides the correct computations for each ingredient (To
make 200 servings, Mrs. Roberts will need: 37 ½ cups of pretzels, 67
½ cups of dry cereal, 33 ¾ cups of peanuts, and 11 ¼ cups of raisins).
•
The response provides correct modeling procedure to find the amount
of each ingredient that is needed (5/2 x 15, 9/2 x 15, 9/4 X 15, ¾ X
15).
A2
Part A: Score Point 4
Part B: Score Point 2
Annotation
Anchor Paper 2
Part A: Score Point 4
This response receives full credit. It includes each of the four required
elements:
•
The response provides a response of 15 batches
(She will need 15 batches).
•
The response provides the correct modeling component to find the total
amount of snack mix needed (200 x ¾ = 150).
•
The response provides the correct modeling component to find the total
amount of snack mix needed for one recipe (2 ½ + 4 ½ + 2 ¼ + ¾ =
10).
•
The response provides the correct modeling to find the number of
batches or the number of times the recipe needs to be made (150 ÷ 10
= 15).
Part B: Score Point 2
This response receives full credit. It includes each of the two required
elements:
•
The response provides the correct computations for each ingredient (37
½ cups of pretzels, 67 ½ cups of dry cereal, 33 ¾ cups of peanuts, 11
¼ cups of raisins).
•
The response provides correct modeling procedure to find the amount
of each ingredient that is needed (2 ½ X 15; 4 ½ X 15; 2 ¼ X 15; ¾ X
15).
A3
Part A: Score Point 4
Part B: Score Point 1
Annotation
Anchor Paper 3
Part A: Score Point 4
This response receives full credit. It includes each of the four required
elements:
•
The response provides a response of 15 batches (15 batches).
•
The response provides a correct modeling procedure to find the total
amount of snack mix needed (10 ÷ .75 = 13.33 servings).
•
The response provides a correct modeling procedure to find the total
amount of snack mix from one recipe (2.5 + 4.5 + 2.25 + .75 = 10).
•
The response provides the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made
(200 ÷ 13.33 = 15 batches).
Part B: Score Point 1
This response receives partial credit. It includes one of the two required
elements:
•
The response provides a correct modeling procedure to find the amount
of each ingredient that is needed. Each ingredient was multiplied by
15: (2.5 x15, 4.5 x 15, 2.25 x15, .75 x 15).
The response does not correctly calculate the amounts for all of the
ingredients (37.5c pretzels, 67.5c cereal, 33.75c peanut, 10.5c raisins), the
cups of raisins calculated is incorrect.
A4
Part A: Score Point 4
Part B: Score Point 0
Annotation
Anchor Paper 4
Part A: Score Point 4
This response receives full credit. It includes each of the four required
elements:
•
The response provides a response of 15 batches (15.037594 batches of
snack mix).
•
The response provides a correct modeling procedure to find the total
amount of snack mix needed (10 / .75 =13.3)
•
The response provides a correct modeling procedure to find the total
amount of snack mix from one recipe. (2.5 + 4.5 + 2.25 + .75 = 10
cups).
•
The response provides the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made
(Then I divided 200 by 13.3 200/13.3 = 15.037594).
Part B: Score Point 0
This response receives no credit. It does not include any of the two required
elements:
The response does not attempt to calculate the amounts for all of the
ingredients.
The response does not provide a correct modeling procedure to find the
amount of each ingredient that is needed. The modeling procedure
incorrectly multiplied the number of batches by 10 (15.37594 x 10 =
150.37594).
A5
Part A: Score Point 2
Part B: Score Point 2
Annotation
Anchor Paper 5
Part A: Score Point 2
This response receives partial credit. It includes two of the four required
elements:
•
The response provides a response of 15 batches.
(So 15 batches of snack mix are needed).
•
The response provides a correct modeling procedure to find the total
amount of snack mix from one recipe (If you add all of snacks together
you get ten cups of snack mix).
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made (If
you multiply 13 1/3 by 15 you get 200).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed (which is 13 1/3 servings).
Part B: Score Point 2
This response receives full credit. It includes each of the two required
elements:
•
The response correctly calculates the amounts for all of the ingredients.
(37 ½ cups of pretzels, 67 ½ cups of dried cereal, 33 ¾ cups of
peanuts, 11 ¼ cups of raisins).
•
The response provides a correct modeling procedure to find the amount
of each ingredient that is needed. Each ingredient is multiplied 15: (2
½ x15, 4 ½ x 15, 2 ¼ x15, and ¾ x 15).
A6
Part A: Score Point 1
Part B: Score Point 2
Annotation
Anchor Paper 6
Part A: Score Point 1
This response receives partial credit. It includes one of the four required
elements:
•
The response provides a response of 15 batches (15 batches).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed.
The response does not provide a correct modeling procedure to find the total
amount of snack mix from one recipe.
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made
(found this by finding the number of servings in a batch).
Part B: Score Point 2
This response receives full credit. It includes each of the two required
elements:
•
The response correctly calculates the amounts for all of the ingredients.
(37.5 cups of pretzels, 67.5 cups of dried cereal, 33.75 cups of
peanuts, and 11.25 cups of raisins).
•
The response provides a correct modeling procedure to find the amount
of each ingredient that is needed. (I found this by multiplying the
original amount by the amount of batches needed to get 200 servings).
A7
Part A: Score Point 2
Part B: Score Point 1
Annotation
Anchor Paper 7
Part A: Score Point 2
This response receives partial credit. It includes two of the four required
elements:
•
The response provides a response of 15 batches (she will need to make
15 batches).
•
The response provides the correct modeling component to find the total
amount of snack mix needed for one recipe (1. 2 ½ + 4 ½ = 7; 2. 7 +
2 ¼ = 9 ¼; 3. 9 ¼ + ¾ = 10).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed (40/3 = 13 1/3).
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made.
Part B: Score Point 1
This response receives partial credit. It includes one of the two required
elements:
•
The response provides the correct computations for each ingredient
(pr:37 ½ cup, dc:67 ½ cup, p:33 ¾ cup, r:11 ¼).
The response does not provide a correct modeling process to determine the
amount of each ingredient needed.
A8
Part A: Score Point 1
Part B: Score Point 1
Annotation
Anchor Paper 8
Part A: Score Point 1
This response receives partial credit. It includes one of the four required
elements:
•
The response provides the correct modeling component to find the total
amount of snack mix needed for one recipe (add 2 ½ + 4 ½ + 2 ¼ +
¾. When you add them all together you get 10 cups).
The response does not provide a response of 15 batches
(You have to make 27 batches of trail mix to get 200 servings).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed
(Then you have to determine the amount of servings per 10 cups and that is
7.5 servings).
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made
(Then you have to figure out how many times 7.5 goes into 200. It goes
26.67, so you round up to 27).
Part B: Score Point 1
This response receives partial credit. It includes one of the two required
elements:
•
The response provides correct modeling procedure (You multiply all of
the ingredients by 27 to get the number of cups of each ingredient).
The response does not provide correct computations for all of the ingredients
(67 ½ cups of pretzels, 121 ½ cups of dry cereal, 60 ¾ cups of peanuts, and
21 cups of raisins); an incorrect amount of raisins is calculated.
A9
Part A: Score Point 1
Part B: Score Point 0
Annotation
Anchor Paper 9
Part A: Score Point 1
This response receives partial credit. It includes one of the four required
elements:
•
The response provides the correct modeling component to find the total
amount of snack mix needed for one recipe. (2 ½ + 4 ½ + 2 ¼ + ¾ =
10 cups).
The response does not provide a response of 15 batches
(There are 14 servings of snack mix in each batch with ¼ left over)
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed. (She needs to make 14 batches because 14 x
14 = 196 and the extra ¼ cup of snack mix leftover from each batch).
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made (will
get it up to 200 servings).
Part B: Score Point 0
This response receives no credit. It does not include either of the two
required elements:
The response does not provide correct any correct computations for the
amounts of each ingredient needed (She will need 600 cups of ingredients).
The response does not provide a correct modeling process to determine the
amount of each ingredient needed.
A10
Part A: Score Point 0
Part B: Score Point 1
Annotation
Anchor Paper 10
Part A: Score Point 0
This response receives no credit. It includes none of the four required
elements:
The response does not provide a response of 15 batches
(You will need 267 batches).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed
The response does not provide a correct modeling procedure to find the total
amount of snack mix from one recipe.
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made
(200/1 x 4/3 = 800/3 = 266.666).
Part B: Score Point 1
This response receives partial credit. It includes one of the two required
elements:
•
The response provides correct modeling procedure based on the
incorrect number of batches provided in Part A, 267 (5/2 x 267/1, 9/2
x 267/1, 9/4 x 267/1, ¾ x 267/1).
The response does not provide correct any correct computations for the
amounts of each ingredient needed (668 cups pretzel, 1202 cups dry cereal,
601 cups peanuts, 201 cups raisins). The total amounts needed for each
ingredient are incorrect, based on the number of batches needed in Part A
(267). The totals are rounded up instead of providing the accurate number of
cups needed for each ingredient.
A11
Part A: Score Point 0
Part B: Score Point 0
Annotation
Anchor Paper 11
Part A: Score Point 0
This response receives no credit. It includes none of the four required
elements:
The response does not provide a response of 15 batches
(150 batches).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed.
The response does not provide a correct modeling procedure to find the total
amount of snack mix from one recipe.
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made.
Part B: Score Point 0
This response receives no credit. It does not include either of the two
required elements:
The response does not provide correct any correct computations for the
amounts of each ingredient needed or a correct modeling process to
determine the amount of each ingredient needed (pretzels 7½, cereal 12½,
peanuts 10½, raisins 5).
A12
Part A: Score Point 0
Part B: Score Point 0
Annotation
Anchor Paper 12
Part A: Score Point 0
This response receives no credit. It includes none of the four required
elements:
The response does not provide a response of 15 batches
(she can make 10 batches).
The response does not provide a correct modeling procedure to find the total
amount of snack mix needed.
The response does not provide a correct modeling procedure to find the total
amount of snack mix from one recipe.
The response does not provide the correct modeling procedure to find the
number of batches or the number of times the recipe needs to be made (200
÷ 20 = 10).
Part B: Score Point 0
This response receives no credit. It does not include either of the two
required elements:
The response does not provide correct any correct computations for the
amounts of each ingredient needed
(mrs.roberes need 3to4ingredient).
The response does not provide a correct modeling process to determine the
amount of each ingredient needed.
Practice Set
P101 - P105
No Annotations Included
P101
P102
P103
P104
P105
Practice Set
Paper
Score
P101
4,2
P102
1,0
P103
3,1
P104
1,0
P105
4,2