ohio grade 3 achievement test – math 2009 data analysis and probability : benchmark c 14;14...

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Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14 ; Benchmark D 18 ; Benchmark F 29 Geometry and Spatial Sense: Benchmark E 2 , 9 ; Benchmark G 13 ; Benchmark H 5 Measurement: Benchmark A 31 ; Benchmark C 35 ; Benchmark D 7 , 25 Number Sense: Benchmark B 30 ; Benchmark C 1 ; Benchmark I 34 ; Benchmark K 15 Patterns, Functions and Algebra: Benchmark C 3 ; Benchmark D 12 ; Benchmark F 16 ; Benchmark G 33 Not slated for Public Release as of 7/1/09: Questions: 4, 6, 8, 10-11, 17, 19-24, 26-28, 32, 36-46 To print a PDF of the OAT Test, go to www.ode.state.oh.us

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Page 1: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Ohio Grade 3 Achievement Test – Math 2009

Data Analysis and Probability : Benchmark C 14; Benchmark D 18; Benchmark F 29

Geometry and Spatial Sense: Benchmark E 2, 9; Benchmark G 13; Benchmark H 5

Measurement: Benchmark A 31; Benchmark C 35; Benchmark D 7, 25

Number Sense: Benchmark B 30; Benchmark C 1; Benchmark I 34; Benchmark K 15

Patterns, Functions and Algebra: Benchmark C 3; Benchmark D 12; Benchmark F 16; Benchmark G 33

Not slated for Public Release as of 7/1/09:Questions: 4, 6, 8, 10-11, 17, 19-24, 26-28, 32, 36-46

To print a PDF of the OAT Test, go to

www.ode.state.oh.us

Page 2: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

1. Which is another way to write six and one-third?

A. 6

1/3

B. 6

1/3

C. 6

13

0% 0%0%

A. 6 1/3

B. 61/3

C. 613

Index

Page 3: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

2. What is the shape of each face of the solid?

0%

0%

0% A. triangle

B. pentagon

C. square

Index

Page 4: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

3. Which number makes this number sentence true?

7 + ? = 32

0%0%0%

A. 15 B. 25 C. 39

A. 15

B. 25

C. 39

Index

Page 5: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

5. Draw one line of symmetry for each figure below.

Scoring GuidelinesIndex

Write the answer on separate paper.

Page 6: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

7. Which thermometer shows 77ºF?

0%0%0%

A. B. C.

A.

B.

C.

Index

Page 7: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

9. Heather is building the letter “H” with the cube-

shaped blocks as shown.How many more cube-shaped blocks will she

need to complete her “H”?

0%

0%

0%A. 2

B. 3

C. 4

Index

Page 8: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

12. Which table has three pairs of values that make this number sentence true?

? + 5 = ?

0%0%0%

A. B. C.

A.

B.

C.

Index

Page 9: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

13. Which building is located at point

(5, 2)?

0%

0%

0% A. school

B. fire station

C. libraryIndex

Page 10: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

14. Sam was heating a pot of water. He recorded the temperature of the water every minute in the graph

shown.Which set of data is shown on the graph?

A.

B.

C.

0% 0%0%

A.

B.

C.Index

Page 11: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

15. Mary needs 48 hamburger buns for a class picnic. Buns are sold in packages of 8 or packages of 12.

Show one way that Mary can buy full packages to get exactly 48 buns.Mary found the prices of the hamburger buns. The prices are shown below.

A package of 8 buns costs $1.00A package of 12 buns costs $1.25

Circle the bills and coins that Mary could use to pay for the48 hamburger buns.

What is the total cost of the 48 hamburger buns? ________

Scoring GuidelinesIndex

Write the answer on separate paper.

Page 12: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

16. The table below shows the number of pencils and the number of crayons that some students have.Which describes the pattern shown in the table?

0%

0%

0%

A. Each student h... B. Each student h...

C. Each student h...

A. Each student has the same number of pencils and crayons.

B. Each student has two more crayons than pencils.

C. Each student has three times as many crayons as pencils.

Index

Page 13: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

18. How many eggs did Tom eat in one

week?

0%0%0%

A. 2 B. 3 C. 4

A. 2

B. 3

C. 4

Index

Page 14: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

25. Use your ruler to draw a rectangle with sides 4 cm and 7 cm.

Label the length of each side.

Scoring GuidelinesIndex

Write the answer on separate paper.

Page 15: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

29. Megan went to the mall and saw a gumball machine with red, blue, white, and yellow gumballs. She wanted a blue gumball. She continued to buy gumballs until the machine gave her a blue one. The list shows the colors of the gumballs that came from the machine.

white red white whitewhite red yellow whitered yellow white blue

Create a bar graph to show how many gumballs Megan bought of each color. Make sure you label your graph.

Megan bought one more gumball.Based on Megan’s results and the bar graph you created, what color gumball is Megan most likely to get?Explain why that color is most likely.

Scoring GuidelinesIndexWrite the answer on separate paper.

Page 16: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

30. Which expression is equal to 50?

0%

0%

0%A. 5 × 5

B. 5 × 10

C. 50 × 0

Index

Page 17: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

31. Which is best measured in ounces?

0%0%0%

A. length ... B. weight ... C. time on...

A. length of a pencil

B. weight of a book

C. time on the clock

Index

Page 18: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

33. Jonathan’s plant is 6 inches tall. His plant grows 3 inches in height each week.How many inches tall will the plant be in 4

weeks?Explain your answer using pictures, words

or numbers.

Scoring GuidelinesIndex

Write the answer on separate paper.

Page 19: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

34. If ? ÷ 3 = 5, what is ? ?

13 15 19

0% 0%0%

A. 13

B. 15

C. 19

Index

Page 20: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

35. About how wide is a third-grader’s finger?

0%

0%

0% A. about 1 meter

B. about 1 millimeter

C. about 1 centimeter

Index

Page 21: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 5 – Short Answer Scoring Guidelines

Index

Points Student Response

2 Sample correct response:

The focus of this task is identifying and describing line and rotational symmetry in two-dimensional shapes. The response includes a correct line of symmetry drawn for each figure (a vertical line approximately through the center of the trapezoid; a vertical or horizontal line approximately through the center or the middle of the oval).

1 The response shows a partial understanding of identifying and drawing lines of symmetry in two-dimensional shapes.

Example:

• Include a correct line of symmetry for only one of the shapes

• Include an extra line that is not a line of symmetry.

0 The response shows no or minimal understanding of identifying and drawing lines of symmetry in two-dimensional shapes.

Example:

• Provide no lines of symmetry

• Provide incorrect lines of symmetry for the shapes.

Page 22: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 15 – Extended Response Scoring Guidelines

Index

Points Student Response

4 The response demonstrates an ability to solve multi-step problems involving multiplication, and making change. The response contains three components:

• An accurate combination of full packages yielding 48 buns. • The correct cost for the 48 buns • Identification of the coins and bills needed to pay for 48 buns.

Examples of correct answers: 6 packages of 8 buns 6 ones or 5 ones and 4 quarters $6.00 OR 3 packages of 8 buns and 2 packages of 12 buns 5 ones and 2 quarters $5.50 OR 4 packages of 12 buns 4 ones and 4 quarters or 5 ones $5.00 Note: The circled bills and coins should total an amount equal to or greater than the cost of the stated combination of packages in the first part.

3 The response demonstrates an ability to solve multi-step problems involving multiplication and making change. However, the response contains a slight flaw in one of the components. For example, the response:

• Selects a combination of packages that results in something other than 48 buns but demonstrates an appropriate strategy for the selection and selects adequate bills and coins using the incorrect combination. • Selects a combination resulting in 48 buns but miscalculates the cost or circles an amount too small to pay for the selected combination.

continued

Page 23: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 15 – continued

Index

Points Student Response

2 The response demonstrates an ability to solve multi-step problems involving multiplication or making change. However, the response contains errors or omissions. For example, the response:

• Selects a combination of packages that is incorrect and provides no explanation for how the combination was selected. The response does state the cost correct based on the combination error and selects an adequate combination of bills and coins. • States a cost associated with an accurate combination of packages and identifies an adequate amount of bills and coins, but fails to state a combination of packages.

1 The response demonstrates an ability to solve multi-step problems involving multiplication or making change. However, the response is highly flawed. For example, the response:

• States an inaccurate combination and an inaccurate cost, but selects appropriate bills and coins.

0 The response demonstrates no ability to solve multi-step problems involving multiplication or making change. For example, the response:

• Does not complete any bullets correctly. • Restate information provided in the item. • Be blank or provide irrelevant information.

Page 24: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 25 – Short Answer Scoring Guidelines

Index

Points Student Response

2 The response shows an approximately rectangular shape with sides ±2 mm of given side lengths and correctly labels at least two consecutive sides correctly.

1 The response shows an approximately rectangular shape with consecutive sides labeled as 4 cm and 7 cm, but with incorrect lengths. OR The response shows a rectangular shape with no or incorrect labels, but with correct lengths. OR The response shows a non-rectangular figure that has two sides of lengths 4 cm and 7 cm or 4 inches and 7 inches with or without labels.

0 The response indicates no understanding of the concept or task. OR The response shows a non-rectangular figure with no sides of 3 cm and 4 cm and no labels.

Page 25: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 29 – Extended Response Scoring Guidelines

Index

Points Student Response

4 Sample correct response:

Megan is most likely to get a white gumball. White is most likely because she got white gumballs more times than the other colors. The focus of this task is recording the results of a simple experiment in a graph and using the results to draw conclusions about the likelihood of possible outcomes. The response provides a correct bar graph that measures the lengths of the bars (not the number of blocks in each bar), labels all parts, and explains why white is the most likely color. Note: Bar graphs that are oriented horizontally are also acceptable.

3 The response provides evidence of recording the results of a simple experiment in a graph and using the results to draw conclusions about the likelihood of possible outcomes; however, the solution may contain a slight error, a flaw or a vague explanation. Sample answer: • Provide a bar graph that has a minor error, such as missing a label or drawing one of the bars incorrectly, but identify white as the most likely color with an adequate explanation. • Provide a correct bar graph and state white as most likely but provide an inadequate explanation.

continued

Page 26: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 29 – continued

Index

Points Student Response

2 The response provides partial evidence of recording the results of a simple experiment in a graph and using the results to draw conclusions about the likelihood of possible outcomes; however, the solution is incomplete and/or contains minor flaws. Sample answer:

• Provide a correct bar graph but fail to identify white as the most likely color and to provide an explanation. • Provide a bar graph with a conceptual error, state that white is the most likely color, but fail to explain why. • Fail to provide a bar graph but state that white is the most likely and provide an appropriate explanation.

1 The response provides minimal evidence of recording the results of a simple experiment in a graph and using the results to draw conclusions about the likelihood of possible outcomes. The response has major flaws and errors in reasoning. Sample answer:

• Provide an incomplete or flawed bar graph and fail to state a likely color and provide an explanation. • State white as the most likely color, but give an inadequate explanation.

0 The response provides inadequate evidence of recording the results of a simple experiment in a graph and using the results to draw conclusions about the likelihood of possible outcomes. Sample answer:

• Only state that white is the most likely without an explanation. • State that blue is the most likely color without an explanation or a bar graph. • Restate the information provided in the item. • Be blank or state irrelevant information.

Page 27: Ohio Grade 3 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark C 14;14 Benchmark D 18; Benchmark F 291829 Geometry and Spatial Sense:

Question 33 – Short Answer Scoring Guidelines

Index

Points Student Response

2 The response indicates 18 inches or 18 and has correct strategy and explanation. Example: (4 × 3) + 6

1 The response indicates 18 inches or 18 with no strategy or work OR The response is incorrect or incomplete, but has a correct strategy with a computational or omission error. OR The response has an incomplete strategy or explanation that shows the growth of 12 inches.

0 The response uses an incorrect strategy to get the correct answer (e.g. 3 × 6 = 18). OR The response is incorrect or irrelevant.