Practice Test Resource Material Grade 6 Mathematics

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Position Number 8 9 10 11 12 13

Position Number 1 2 3 4 5 6 7

Correct Answer C B A C N/A N/A N/A Functions & Algebra Geometry & Measurement Numbers & Operations Data, Statistics & Probability Functions & Algebra Numbers & Operations Numbers & Operations

Content Strand

Correct Answer C B C B N/A N/A

Functions & Algebra Numbers & Operations Functions & Algebra Data, Statistics & Probability Numbers & Operations Geometry & Measurement

Content Strand

Session 2—Calculator Active

Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Short-answer (1 pt.) Constructed-response (4 pts.)

Item Type

Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Short-answer (1 pt.) Short-answer (2 pts.) Short-answer (2 pts.)

Item Type

Session 1—Non-Calculator

Practice Test Resource Material Grade 6 Mathematics

GLE Stem Number 1 2 4 5 3 6

GLE Stem Number 1 6 2 1 3 4 3, 4

Depth-ofKnowledge Level 2 1 1 2 1 3

Depth-ofKnowledge Level 2 2 2 2 2 2 3

New England Common Assessment Program

NECAP Practice Test Grade 6 Mathematics Non-Calculator Short-Answer Item (2 points) ID:203267 Common

y

In an orchard there are only Cortland apple trees and Macintosh apple trees. There are a total of 168 apple trees. • In the orchard there are 6 rows of Cortland apple trees and 8 rows of Macintosh apple trees. • Each row in the orchard contains the same number of apple trees. What is the total number of Cortland apple trees in the orchard? Show your work or explain how you know.

Scoring Guide Score

Description

2

Student correctly answered 72 Cortland Apple Trees, with work shown or explanation given.

1

Student gives correct answer, but no work or explanation. OR Work or explanation shows correct strategy in solving the problem, but there may be a computation error.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

Sample Response: 6 + 8 = 14 rows 168 ÷ 14 = 12 apple trees in each row 6 × 12 = 72 Cortland apple trees *

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response A

Sample 2-Point Response B

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Short-Answer Item (2 points) ID:203262 ASF6127_Parking_meter.eps Common

u

Look at this parking meter.

90

10

40 50 60 7 0 nutes mi

80

20

30

1 quarter for 20 minutes 1 dime for 8 minutes

Quarters Dimes

When the meter is at 0 minutes, what is the least amount of money Mr. Blaine will have to pay to park at the meter for 70 minutes? Show your work or explain how you know.

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Short-Answer Item (2 points) Scoring Guide Score

Description

2

Student correctly answered $0.90, with work shown or explanation given.

1

Student gives correct answer, but no work or explanation. OR Work or explanation shows correct strategy in solving the problem, but there is a computation error.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

Sample Response: Quarters Dimes Minutes Amount 4 0 4 × 20 = 80 $1.00 3 2 (3 × 20) + (2 × 8) = 76 $0.95 2 4 (2 × 20) + (4 × 8) = 72 $0.90 1 7 (1 × 20) + (7 × 8) = 76 $0.95 0 9 9 × 8 = 72 $0.90 So the least amount paid is 90¢.

*

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:198707 AL607_Triangle_Dot_Grid.e Common

f

Sabrina drew the right triangle shown below. 1 unit 1 unit

a. What is the area of Sabrina’s triangle? Show your work or explain how you know. b. Luke wants to draw a right triangle with an area of 20 square units. He first drew the base of his triangle, as shown below. 1 unit 1 unit

What should be the height of Luke’s triangle? Show your work or explain how you know. NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

4 points.

3

3 points.

2

2 points.

1

1 point.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) Training Notes: Part a: 2 points OR 1 point

Part b: 2 points OR 1 point

for the correct answer, 9 (square units), with work shown or explanation given. for the correct answer, no work shown or explanation given. or for correct strategy shown in solving the problem, but there is a computation error. for the correct answer, 8 (units), with work shown or explanation given. for the correct answer, no work shown or explanation given. or for correct strategy shown in solving the problem, but there is a computation error.

NOTES: • For part a, a student can get a strategy point for “counting squares” only if student correctly indicates the partial squares that add to 1 unit and does not use terminology such as “halves” or “quarters”. • For part b, a student can NOT get a strategy point for “counting squares”. • If student uses unit labels incorrectly (i.e. uses units of length for area or vice-versa), do not award a score of 4, otherwise do not penalize. Sample Response: Part a: The base is 3 units and height is 6 units. The area of the rectangle is 18 square units. The triangle is half the area of the rectangle. So the triangle has an area of 9 square units. Part b: Area of the rectangle is twice the area of the triangle, so the area of the rectangle would be 40 square units. Since the base is 5 units, the height would be 8 units. or Student does it by guess and check and shows that when the height is 8 the area is 20.

*

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

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NECAP Practice Test Grade 6 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 3-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response B

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 0-Point Response A

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NECAP Practice Test Grade 6 Mathematics Sample 0-Point Response B

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NECAP_Released-2005_Grade-6_Math

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Position Number 8 9 10 11 12 13

Position Number 1 2 3 4 5 6 7

Correct Answer C B A C N/A N/A N/A Functions & Algebra Geometry & Measurement Numbers & Operations Data, Statistics & Probability Functions & Algebra Numbers & Operations Numbers & Operations

Content Strand

Correct Answer C B C B N/A N/A

Functions & Algebra Numbers & Operations Functions & Algebra Data, Statistics & Probability Numbers & Operations Geometry & Measurement

Content Strand

Session 2—Calculator Active

Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Short-answer (1 pt.) Constructed-response (4 pts.)

Item Type

Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Multiple-choice (1 pt.) Short-answer (1 pt.) Short-answer (2 pts.) Short-answer (2 pts.)

Item Type

Session 1—Non-Calculator

Practice Test Resource Material Grade 6 Mathematics

GLE Stem Number 1 2 4 5 3 6

GLE Stem Number 1 6 2 1 3 4 3, 4

Depth-ofKnowledge Level 2 1 1 2 1 3

Depth-ofKnowledge Level 2 2 2 2 2 2 3

New England Common Assessment Program

NECAP Practice Test Grade 6 Mathematics Non-Calculator Short-Answer Item (2 points) ID:203267 Common

y

In an orchard there are only Cortland apple trees and Macintosh apple trees. There are a total of 168 apple trees. • In the orchard there are 6 rows of Cortland apple trees and 8 rows of Macintosh apple trees. • Each row in the orchard contains the same number of apple trees. What is the total number of Cortland apple trees in the orchard? Show your work or explain how you know.

Scoring Guide Score

Description

2

Student correctly answered 72 Cortland Apple Trees, with work shown or explanation given.

1

Student gives correct answer, but no work or explanation. OR Work or explanation shows correct strategy in solving the problem, but there may be a computation error.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

Sample Response: 6 + 8 = 14 rows 168 ÷ 14 = 12 apple trees in each row 6 × 12 = 72 Cortland apple trees *

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response A

Sample 2-Point Response B

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Short-Answer Item (2 points) ID:203262 ASF6127_Parking_meter.eps Common

u

Look at this parking meter.

90

10

40 50 60 7 0 nutes mi

80

20

30

1 quarter for 20 minutes 1 dime for 8 minutes

Quarters Dimes

When the meter is at 0 minutes, what is the least amount of money Mr. Blaine will have to pay to park at the meter for 70 minutes? Show your work or explain how you know.

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Short-Answer Item (2 points) Scoring Guide Score

Description

2

Student correctly answered $0.90, with work shown or explanation given.

1

Student gives correct answer, but no work or explanation. OR Work or explanation shows correct strategy in solving the problem, but there is a computation error.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

Sample Response: Quarters Dimes Minutes Amount 4 0 4 × 20 = 80 $1.00 3 2 (3 × 20) + (2 × 8) = 76 $0.95 2 4 (2 × 20) + (4 × 8) = 72 $0.90 1 7 (1 × 20) + (7 × 8) = 76 $0.95 0 9 9 × 8 = 72 $0.90 So the least amount paid is 90¢.

*

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:198707 AL607_Triangle_Dot_Grid.e Common

f

Sabrina drew the right triangle shown below. 1 unit 1 unit

a. What is the area of Sabrina’s triangle? Show your work or explain how you know. b. Luke wants to draw a right triangle with an area of 20 square units. He first drew the base of his triangle, as shown below. 1 unit 1 unit

What should be the height of Luke’s triangle? Show your work or explain how you know. NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

4 points.

3

3 points.

2

2 points.

1

1 point.

0

Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank

No response.

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NECAP Practice Test Grade 6 Mathematics Calculator-Active Constructed-Response Item (4 points) Training Notes: Part a: 2 points OR 1 point

Part b: 2 points OR 1 point

for the correct answer, 9 (square units), with work shown or explanation given. for the correct answer, no work shown or explanation given. or for correct strategy shown in solving the problem, but there is a computation error. for the correct answer, 8 (units), with work shown or explanation given. for the correct answer, no work shown or explanation given. or for correct strategy shown in solving the problem, but there is a computation error.

NOTES: • For part a, a student can get a strategy point for “counting squares” only if student correctly indicates the partial squares that add to 1 unit and does not use terminology such as “halves” or “quarters”. • For part b, a student can NOT get a strategy point for “counting squares”. • If student uses unit labels incorrectly (i.e. uses units of length for area or vice-versa), do not award a score of 4, otherwise do not penalize. Sample Response: Part a: The base is 3 units and height is 6 units. The area of the rectangle is 18 square units. The triangle is half the area of the rectangle. So the triangle has an area of 9 square units. Part b: Area of the rectangle is twice the area of the triangle, so the area of the rectangle would be 40 square units. Since the base is 5 units, the height would be 8 units. or Student does it by guess and check and shows that when the height is 8 the area is 20.

*

All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.

NECAP_Released-2005_Grade-6_Math

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NECAP Practice Test Grade 6 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 3-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 6 Mathematics Sample 2-Point Response B

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NECAP Practice Test Grade 6 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 6 Mathematics Sample 0-Point Response A

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NECAP Practice Test Grade 6 Mathematics Sample 0-Point Response B

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