Mathematics Content

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T

A

Type 1 Items

Type II Items

Type III Items

Type IV Items

1. Geometry

a. properties/attributes of 2D shapes/objects

7

5

12

1. Identify quadrilateral given properties.

12. Determine if one shape is a special case of another shape.

17. Determine correctness of student conjectures about shapes.

d. relationships among shapes (including hierarchal)

5

4

9

b. congruent shapes

7

5

12

13. Determine if two shapes are congruent by reasoning.

16. Determine students' understanding of congruence.

c. sides, angles, vertices, radius, diameter

6

5

11

9. Identify types of angles in a diagram.

h. lines and properties

5

1

6

4. Determine congruent angles in diagram

e. 2-D representations of 3-D shapes/objects

7

2

9

6. Determine 3D shape formed by folding a 2D shape.

f. subdividing and combining shapes

6

2

8

11. Subdivide 2-D shape and reassemble as another 2-D shape.

g. properties/attributes of 3-D shapes/objects

3

4

7

10. Determine faces, edges, and vertices of 3-D shapes.

2. Measurement

a. measurement tools

7

4

11

2. Determine attributed measured by a measurement tool.

b. use metric/customary units

6

5

11

3. Select appropriate unit to measure an object.

g. select appropriate units

6

3

9

h. identify measurable attributes

5

3

8

m. convert units within systems

4

2

6

c. area/ perimeter

6

4

10

5. Determine formula for finding area or perimeter.

7. Determine relationship between size of units and number of units (length).

14. Determine effect of doubling edges of 3-D shape on its volume or surface area.

18. Address students' misconceptions about area and perimeter.

19. Address students' misconceptions about surface area.

d. length

6

3

9

e. volume and surface area

6

3

9

j. surface area

5

3

8

l. measurement formulas

3

3

6

i. use benchmarks for estimating

5

3

8

15. Estimate number of smaller units in larger unit.

n. pre-measurement concepts

4

0

4

f. time, temperature and weight

5

4

9

8. Determine weight and time

k. angles

6

2

8

.

20. Address students' misconceptions about angle measures.