Practice Test Resource Material Grade 7 Mathematics

NECAP_Released-2005_Grade-7_Math

2 N/A

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

Content Strand

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

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

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

Short-answer (2 pts.)

7

Position Number 8 9 10 11 12 13

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

Item Type

Position Number 1 2 3 4 5 6

Session 1—Non-Calculator

Practice Test Resource Material Grade 7 Mathematics

GLE Stem Number 1 5 1 4 1 3

GLE Stem Number 1 4 3 3 4 3 1 1

Depth-ofKnowledge Level 2 2 2 1 3 3

2

Depth-ofKnowledge Level 2 2 1 2 3 2

New England Common Assessment Program

NECAP Practice Test Grade 7 Mathematics Non-Calculator Short-Answer Item (2 points) ID:199911 Common

y

a. A pyramid has a hexagon for its base. How many edges does the pyramid have? b. A pyramid has a base that is a polygon with n sides. Use n to write an expression that represents the number of edges the pyramid has.

Scoring Guide Score

Description

2

2 correct answers.

1

1 correct answer.

0

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

Blank

No response.

Sample Response: Part a: 12 Part b: 2n or n + n

*

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 7 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 7 Mathematics Calculator-Active Short-Answer Item (2 points) ID:199951 AL411_book_sales.eps Common

u

The graph below shows sales at a bookstore each week.

Books Sold

Book Sales 600 500 400 300 200 100 0

1

2

3 4 Week

5

6

7

a. What was the first week when more than 200 books were sold? b. Predict how many books will likely be sold in Week 7.

Scoring Guide Score

Description

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.

Training Notes: Part a: 1 point for the correct answer (Week 4) Part b: 1 point for an acceptable prediction (between 480 and 550 books)

*

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 7 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 7 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:206126 Common

f

Copy the tables into your Student Answer Booklet. a. Complete the tables. Table 1

Table 2

x

2

x

y

4y

1 2 3 4 5 6

2

1 2 3 4 5 6

4

8

64

b. What value of y makes 28 = 4y true?

c. If 2 x = 4 y , what must be true about the values of x and y?

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NECAP Practice Test Grade 7 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

4 points.

3

3 points.

2

2 points.

1

1 point. OR Student shows minimal understanding of exponents and bases.

0

Response is incorrect or irrelevant.

Blank

No response.

Training Notes: Part a: 2 points OR 1 point Part b: 1 point Part c: 1 point

tables are completed correctly. tables contain 1 or 2 errors. for correct answer, 4. for correct answer.

Sample Response: Part a: Table 1 x 1 2 3 4 5 6

Table 2 x

y

2 4 8 16 32 64

1 2 3 4 5 6

2

4y 4 16 64 256 1024 4096

Part b: 4 Part c: x = 2y, y = ½ x, or equivalent or verbal statement, e.g. the exponent for 2 is double the exponent of 4. *

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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10

NECAP Practice Test Grade 7 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 3-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response B

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response A

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response B

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NECAP Practice Test Grade 7 Mathematics Sample 0-Point Response

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NECAP_Released-2005_Grade-7_Math

2 N/A

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

Content Strand

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

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

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

Short-answer (2 pts.)

7

Position Number 8 9 10 11 12 13

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

Item Type

Position Number 1 2 3 4 5 6

Session 1—Non-Calculator

Practice Test Resource Material Grade 7 Mathematics

GLE Stem Number 1 5 1 4 1 3

GLE Stem Number 1 4 3 3 4 3 1 1

Depth-ofKnowledge Level 2 2 2 1 3 3

2

Depth-ofKnowledge Level 2 2 1 2 3 2

New England Common Assessment Program

NECAP Practice Test Grade 7 Mathematics Non-Calculator Short-Answer Item (2 points) ID:199911 Common

y

a. A pyramid has a hexagon for its base. How many edges does the pyramid have? b. A pyramid has a base that is a polygon with n sides. Use n to write an expression that represents the number of edges the pyramid has.

Scoring Guide Score

Description

2

2 correct answers.

1

1 correct answer.

0

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

Blank

No response.

Sample Response: Part a: 12 Part b: 2n or n + n

*

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-7_Math

3

NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response

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5

NECAP Practice Test Grade 7 Mathematics Calculator-Active Short-Answer Item (2 points) ID:199951 AL411_book_sales.eps Common

u

The graph below shows sales at a bookstore each week.

Books Sold

Book Sales 600 500 400 300 200 100 0

1

2

3 4 Week

5

6

7

a. What was the first week when more than 200 books were sold? b. Predict how many books will likely be sold in Week 7.

Scoring Guide Score

Description

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.

Training Notes: Part a: 1 point for the correct answer (Week 4) Part b: 1 point for an acceptable prediction (between 480 and 550 books)

*

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-7_Math

6

NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 7 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:206126 Common

f

Copy the tables into your Student Answer Booklet. a. Complete the tables. Table 1

Table 2

x

2

x

y

4y

1 2 3 4 5 6

2

1 2 3 4 5 6

4

8

64

b. What value of y makes 28 = 4y true?

c. If 2 x = 4 y , what must be true about the values of x and y?

NECAP_Released-2005_Grade-7_Math

9

NECAP Practice Test Grade 7 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

4 points.

3

3 points.

2

2 points.

1

1 point. OR Student shows minimal understanding of exponents and bases.

0

Response is incorrect or irrelevant.

Blank

No response.

Training Notes: Part a: 2 points OR 1 point Part b: 1 point Part c: 1 point

tables are completed correctly. tables contain 1 or 2 errors. for correct answer, 4. for correct answer.

Sample Response: Part a: Table 1 x 1 2 3 4 5 6

Table 2 x

y

2 4 8 16 32 64

1 2 3 4 5 6

2

4y 4 16 64 256 1024 4096

Part b: 4 Part c: x = 2y, y = ½ x, or equivalent or verbal statement, e.g. the exponent for 2 is double the exponent of 4. *

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-7_Math

10

NECAP Practice Test Grade 7 Mathematics Sample 4-Point Response

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11

NECAP Practice Test Grade 7 Mathematics Sample 3-Point Response

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NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 7 Mathematics Sample 2-Point Response B

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response A

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NECAP Practice Test Grade 7 Mathematics Sample 1-Point Response B

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NECAP Practice Test Grade 7 Mathematics Sample 0-Point Response

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17