Practice Test Resource Material Grade 8 Mathematics

NECAP_Released-2005_Grade-8_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 D C B N/A N/A N/A Geometry & Measurement Functions & Algebra Functions & Algebra Data, Statistics & Probability Functions & Algebra Numbers & Operations Numbers & Operations

Content Strand

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

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

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 8 Mathematics

GLE Stem Number 2 1 4 5 2 1

GLE Stem Number 1 1 2 5 3 2 4

Depth-ofKnowledge Level 2 2 1 2 3 2

Depth-ofKnowledge Level 2 2 1 2 2 2 2

New England Common Assessment Program

NECAP Practice Test Grade 8 Mathematics Non-Calculator Short-Answer Item (2 points) ID:199795 Common

y

Anna and Barb practiced serving a volleyball over the net. •

Anna served the ball over the net 18 out of 25 times.

•

Barb served the ball over the net 75% of the time.

Use fractions, decimals, or percents to show or explain which girl had the greater rate of success in serving the ball over the net.

Scoring Guide Score

Description

2

Student shows or explains that Barb was more successful using fractions, decimals, or percents.

1

Student shows some correct strategy by correctly converting a percent to a fraction or decimal or a fraction to a percent or decimal.

0

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

Blank

No response.

Sample Responses: Answers will vary; some explanations follow. Barb had a higher rate of success because 18 = 72% and 75% > 72% . 25 OR 75% = 75 and 18 = 72 and 75 > 72 . 100 25 100 100 100 OR 75% = 0.75 and 18 = 0.72 and 0.75 > 0.72. 25 *

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-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 8 Mathematics Calculator-Active Short-Answer Item (2 points) ID:206241 Common

u

Sean and Barry are participating in a 30-mile bike race. Sean averages 20 miles per hour and Barry averages 15 miles per hour. How many miles will Barry be from the finish line when Sean finishes the race? Show your work or explain how you know.

Scoring Guide Score

Description

2

Correct answer, 7.5 (miles), with explanation or work.

1

Correct answer. OR Explanation or work shows some correct strategy for solving the problem.

0

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

Blank

No response.

Sample Response: Sean will take 30 ÷ 20 = 1.5 hours to complete the race. After 1.5 hours, Barry will have traveled 1.5 × 15 = 22.5 miles. So Barry will be 30 – 22.5 = 7.5 miles from the finish. OR Sean will take 30 ÷ 20 = 1.5 hours to complete the race. Barry will take 30 ÷ 15 = 2 hours to complete the race. 2 hours – 1.5 hours = 0.5 hours. 15 mph × 0.5 = 7.5 miles (or 15 ÷ 2 = 7.5 miles).

*

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-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:226305 Common

f

A scientist recorded the growth of a certain bacteria in the table below.

Time Elapsed (in minutes)

Number of Bacteria

0

26

15

52

30

104

45

208

60

416

a. What is the number of bacteria when the time elapsed is 75 minutes? b. Explain the relationship between the time elapsed and the number of bacteria. c. What is the number of bacteria when the time elapsed is two hours? Show your work or explain how you know.

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 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 specific cases and generalization of patterns.

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 correct answer (832) Part b: 1 point

for correct explanation

Part c: 2 points OR 1 point

for correct answer (6656) and explanation for correct answer only or for correct strategy or explanation

Sample Response: Part a: 416 × 2 = 832 Part b: Sample explanation: The number of bacteria doubles every 15 minutes. Part c: 416 × 24 = 6656; there will be 6656 bacteria in two hours. Student may show additional entries (832, 1664, 3328, 6656) or may multiply 416 by 16 or 416 by 2 four times. *

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-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 3-Point Response A

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NECAP Practice Test Grade 8 Mathematics Sample 3-Point Response B

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NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 0-Point Response

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NECAP_Released-2005_Grade-8_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 D C B N/A N/A N/A Geometry & Measurement Functions & Algebra Functions & Algebra Data, Statistics & Probability Functions & Algebra Numbers & Operations Numbers & Operations

Content Strand

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

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

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 8 Mathematics

GLE Stem Number 2 1 4 5 2 1

GLE Stem Number 1 1 2 5 3 2 4

Depth-ofKnowledge Level 2 2 1 2 3 2

Depth-ofKnowledge Level 2 2 1 2 2 2 2

New England Common Assessment Program

NECAP Practice Test Grade 8 Mathematics Non-Calculator Short-Answer Item (2 points) ID:199795 Common

y

Anna and Barb practiced serving a volleyball over the net. •

Anna served the ball over the net 18 out of 25 times.

•

Barb served the ball over the net 75% of the time.

Use fractions, decimals, or percents to show or explain which girl had the greater rate of success in serving the ball over the net.

Scoring Guide Score

Description

2

Student shows or explains that Barb was more successful using fractions, decimals, or percents.

1

Student shows some correct strategy by correctly converting a percent to a fraction or decimal or a fraction to a percent or decimal.

0

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

Blank

No response.

Sample Responses: Answers will vary; some explanations follow. Barb had a higher rate of success because 18 = 72% and 75% > 72% . 25 OR 75% = 75 and 18 = 72 and 75 > 72 . 100 25 100 100 100 OR 75% = 0.75 and 18 = 0.72 and 0.75 > 0.72. 25 *

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-8_Math

3

NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Calculator-Active Short-Answer Item (2 points) ID:206241 Common

u

Sean and Barry are participating in a 30-mile bike race. Sean averages 20 miles per hour and Barry averages 15 miles per hour. How many miles will Barry be from the finish line when Sean finishes the race? Show your work or explain how you know.

Scoring Guide Score

Description

2

Correct answer, 7.5 (miles), with explanation or work.

1

Correct answer. OR Explanation or work shows some correct strategy for solving the problem.

0

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

Blank

No response.

Sample Response: Sean will take 30 ÷ 20 = 1.5 hours to complete the race. After 1.5 hours, Barry will have traveled 1.5 × 15 = 22.5 miles. So Barry will be 30 – 22.5 = 7.5 miles from the finish. OR Sean will take 30 ÷ 20 = 1.5 hours to complete the race. Barry will take 30 ÷ 15 = 2 hours to complete the race. 2 hours – 1.5 hours = 0.5 hours. 15 mph × 0.5 = 7.5 miles (or 15 ÷ 2 = 7.5 miles).

*

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-8_Math

6

NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:226305 Common

f

A scientist recorded the growth of a certain bacteria in the table below.

Time Elapsed (in minutes)

Number of Bacteria

0

26

15

52

30

104

45

208

60

416

a. What is the number of bacteria when the time elapsed is 75 minutes? b. Explain the relationship between the time elapsed and the number of bacteria. c. What is the number of bacteria when the time elapsed is two hours? Show your work or explain how you know.

NECAP_Released-2005_Grade-8_Math

9

NECAP Practice Test Grade 8 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 specific cases and generalization of patterns.

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 correct answer (832) Part b: 1 point

for correct explanation

Part c: 2 points OR 1 point

for correct answer (6656) and explanation for correct answer only or for correct strategy or explanation

Sample Response: Part a: 416 × 2 = 832 Part b: Sample explanation: The number of bacteria doubles every 15 minutes. Part c: 416 × 24 = 6656; there will be 6656 bacteria in two hours. Student may show additional entries (832, 1664, 3328, 6656) or may multiply 416 by 16 or 416 by 2 four times. *

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-8_Math

10

NECAP Practice Test Grade 8 Mathematics Sample 4-Point Response

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 3-Point Response A

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 3-Point Response B

NECAP_Released-2005_Grade-8_Math

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NECAP Practice Test Grade 8 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 8 Mathematics Sample 0-Point Response

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