Practice Test Resource Material Grade 5 Mathematics

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Position Number 8 9 10 11 12 13

Position Number 1 2 3 4 5 6 7

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

Content Strand

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

Data, Statistics & Probability Numbers & Operations Functions & Algebra Geometry & Measurement 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 5 Mathematics

GLE Stem Number 1 1 1 1 1 1

GLE Stem Number 6 2 4 3 4 3 1

Depth-ofKnowledge Level 2 2 2 1 2 3

Depth-ofKnowledge Level 2 2 2 2 2 2 2

New England Common Assessment Program

NECAP Practice Test Grade 5 Mathematics Non-Calculator Short-Answer Item (2 points) ID:226209 Common

y

Nathan, Alicia, and Taylor each ride to school on a bike. • Nathan rides his bike m miles. • Alicia rides her bike 3 times as many miles as Nathan does. • Taylor rides his bike 4 more miles than Nathan does. a. Use m to write an expression for the number of miles Alicia rides her bike. b. Use m to write an expression for the number of miles Taylor rides his bike.

Scoring Guide Score

Description

2

Student answered both parts correctly.

1

Student answers one part correctly.

0

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

Blank

No response.

Sample Responses: Part a: 3 • m or equivalent Part b: m + 4 or equivalent

*

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 5 Mathematics Sample 2-Point Response A

Sample 2-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Short-Answer Item (2 points) ID:198555 Common

u

Look at this number sentence.

hundreds + ones. Find one number for and one number for that make the number sentence true. Show 747 = 22 tens +

your work or explain how you know.

Scoring Guide Score

Description

2

Student gives correct values for the square and triangle that, when added, will make the number 747 and provides appropriate work or explanation.

1

Student gives correct values for the square and triangle but does not provide work or explanation. OR Work or explanation provided shows correct strategy 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 Responses: Square = 5 and Triangle = 27; 747 – 220 = 527 = 5 hundreds plus 27 ones Square = 4 and Triangle = 127; 747 – 220 = 527 = 4 hundreds plus 127 ones Square = 3 and Triangle = 227; 747 – 220 = 527 = 3 hundreds plus 227 ones Square = 2 and Triangle = 327; 747 – 220 = 527 = 2 hundreds plus 327 ones Square = 1 and Triangle = 427; 747 – 220 = 527 = 1 hundreds plus 427 ones Square = 0 and Triangle = 527; 747 – 220 = 527 = 0 hundreds plus 527 ones *

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 5 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:220024 SM195_shape_stem_01.eps, Common

1#

Mr. Grimaldi asked his class to identify a mystery shape from these shapes.

C A B

F

E

D

He gave the class these two clues. Clue 1: The mystery shape has fewer than 5 sides. Clue 2: The mystery shape does not have any 90° angles. a. Using the clues, the class determined that the mystery shape is one of two shapes. What are those two shapes? b. Pick one shape you identified in part a. What additional clue could Mr. Grimaldi give as Clue 3 that would identify only that shape as the mystery shape? Explain your reasoning. Later, Mr. Grimaldi added this shape to the 6 shapes above.

G

c. Write one or more clues that could identify this new shape as the only mystery shape.

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

5 points.

3

4 points.

2

2 or 3 points.

1

1 point. OR Minimal understanding by giving one correct property of one of the polygons.

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 Part b: 2 points

1 point

Part c: 2 points

1 point

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for the correct answers, A and D. for identifying one of the shapes given in part a, AND providing a clue that distinguishes it from the other shape given in part a, AND providing an explanation for the answer. OR for identifying one of the shapes AND providing a clue that distinguishes it from the other shape given in part a, but there is no explanation given for the answer. OR for some correct strategy shown. for a correct clue or for correct clues that distinguish this shape from every other shape given. There is no incorrect information. OR for providing a clue or clues that distinguish this shape from every other shape given, but there is also some incorrect information given.

10

NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) Sample Responses: Part b: Shape A is the mystery shape if Clue 3 is “The mystery shape has one pair of parallel sides” or “The mystery shape has two equal sides.” Shape D is the mystery shape if Clue 3 is “The mystery shape has two pairs of parallel sides” or “The mystery shape has sides that are all equal.” Part c: Clue 1: The mystery shape has 4 sides. Clue 2: The mystery shape has one pair of parallel sides. *Clue 3: The mystery shape has 2 angles that are 90°. *Note: If student uses Clue 3, no other clues are needed to lead to Shape G.

*

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 5 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 5 Mathematics Sample 3-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 3-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 2-Point Response B

Sample 2-Point Response C

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response C

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NECAP_Released-2005_Grade-5_Math

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Position Number 8 9 10 11 12 13

Position Number 1 2 3 4 5 6 7

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

Content Strand

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

Data, Statistics & Probability Numbers & Operations Functions & Algebra Geometry & Measurement 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 5 Mathematics

GLE Stem Number 1 1 1 1 1 1

GLE Stem Number 6 2 4 3 4 3 1

Depth-ofKnowledge Level 2 2 2 1 2 3

Depth-ofKnowledge Level 2 2 2 2 2 2 2

New England Common Assessment Program

NECAP Practice Test Grade 5 Mathematics Non-Calculator Short-Answer Item (2 points) ID:226209 Common

y

Nathan, Alicia, and Taylor each ride to school on a bike. • Nathan rides his bike m miles. • Alicia rides her bike 3 times as many miles as Nathan does. • Taylor rides his bike 4 more miles than Nathan does. a. Use m to write an expression for the number of miles Alicia rides her bike. b. Use m to write an expression for the number of miles Taylor rides his bike.

Scoring Guide Score

Description

2

Student answered both parts correctly.

1

Student answers one part correctly.

0

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

Blank

No response.

Sample Responses: Part a: 3 • m or equivalent Part b: m + 4 or equivalent

*

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 5 Mathematics Sample 2-Point Response A

Sample 2-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response A

Sample 1-Point Response B

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Short-Answer Item (2 points) ID:198555 Common

u

Look at this number sentence.

hundreds + ones. Find one number for and one number for that make the number sentence true. Show 747 = 22 tens +

your work or explain how you know.

Scoring Guide Score

Description

2

Student gives correct values for the square and triangle that, when added, will make the number 747 and provides appropriate work or explanation.

1

Student gives correct values for the square and triangle but does not provide work or explanation. OR Work or explanation provided shows correct strategy 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 Responses: Square = 5 and Triangle = 27; 747 – 220 = 527 = 5 hundreds plus 27 ones Square = 4 and Triangle = 127; 747 – 220 = 527 = 4 hundreds plus 127 ones Square = 3 and Triangle = 227; 747 – 220 = 527 = 3 hundreds plus 227 ones Square = 2 and Triangle = 327; 747 – 220 = 527 = 2 hundreds plus 327 ones Square = 1 and Triangle = 427; 747 – 220 = 527 = 1 hundreds plus 427 ones Square = 0 and Triangle = 527; 747 – 220 = 527 = 0 hundreds plus 527 ones *

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-5_Math

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NECAP Practice Test Grade 5 Mathematics Sample 2-Point Response

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) ID:220024 SM195_shape_stem_01.eps, Common

1#

Mr. Grimaldi asked his class to identify a mystery shape from these shapes.

C A B

F

E

D

He gave the class these two clues. Clue 1: The mystery shape has fewer than 5 sides. Clue 2: The mystery shape does not have any 90° angles. a. Using the clues, the class determined that the mystery shape is one of two shapes. What are those two shapes? b. Pick one shape you identified in part a. What additional clue could Mr. Grimaldi give as Clue 3 that would identify only that shape as the mystery shape? Explain your reasoning. Later, Mr. Grimaldi added this shape to the 6 shapes above.

G

c. Write one or more clues that could identify this new shape as the only mystery shape.

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NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) Scoring Guide Score

Description

4

5 points.

3

4 points.

2

2 or 3 points.

1

1 point. OR Minimal understanding by giving one correct property of one of the polygons.

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 Part b: 2 points

1 point

Part c: 2 points

1 point

NECAP_Released-2005_Grade-5_Math

for the correct answers, A and D. for identifying one of the shapes given in part a, AND providing a clue that distinguishes it from the other shape given in part a, AND providing an explanation for the answer. OR for identifying one of the shapes AND providing a clue that distinguishes it from the other shape given in part a, but there is no explanation given for the answer. OR for some correct strategy shown. for a correct clue or for correct clues that distinguish this shape from every other shape given. There is no incorrect information. OR for providing a clue or clues that distinguish this shape from every other shape given, but there is also some incorrect information given.

10

NECAP Practice Test Grade 5 Mathematics Calculator-Active Constructed-Response Item (4 points) Sample Responses: Part b: Shape A is the mystery shape if Clue 3 is “The mystery shape has one pair of parallel sides” or “The mystery shape has two equal sides.” Shape D is the mystery shape if Clue 3 is “The mystery shape has two pairs of parallel sides” or “The mystery shape has sides that are all equal.” Part c: Clue 1: The mystery shape has 4 sides. Clue 2: The mystery shape has one pair of parallel sides. *Clue 3: The mystery shape has 2 angles that are 90°. *Note: If student uses Clue 3, no other clues are needed to lead to Shape G.

*

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 5 Mathematics Sample 4-Point Response

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NECAP Practice Test Grade 5 Mathematics Sample 3-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 3-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 2-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 2-Point Response B

Sample 2-Point Response C

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response A

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response B

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NECAP Practice Test Grade 5 Mathematics Sample 1-Point Response C

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