Mathematics Content

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Type 1 Items

Type II Items

Type III Items

Type IV Items

1. Rational Number & Integer Concepts & Representations

a. fractions

7

5

12

b. decimals

6

4

10

1. Write decimal number using symbols.

6. Find fraction/decimal closest to nearest decimal/fraction.

16. Explain and correct student error about representing fractions.

c. relationships & comparisons

4

4

8

2. Order rational numbers from least to greatest or vice versa.

7. Compare fractions using models.

11. Use fractions to solve a word problem.

d. equivalent fractions

4

3

7

3. Determine equivalent fractions or decimals

8. Determine the relationship of numerators and denominators in equivalent fractions.

17. Explain and correct student misconception about comparing fractions.

e. fraction & decimal equivalents

3

3

6

4. Determine fraction and decimal equivalents.

9. Determine equivalent fractions and decimals using pictures.

f. ratio and proportions

1

4

5

12. Use proportional reasoning to solve a word problem.

g. percents

1

3

4

13. Determine better deal with regard to percentage increase and decrease.

18. Explain and correct student error about percentage increases and decreases.

h. equivalent fraction/decimals/ percents

1

2

3

i. irrational numbers

0

2

2

j. small numbers (sci. notation)

0

1

1

k. use proportional thinking

2

1

3

2. Operations/Computation

a. compute with rational numbers

7

6

13

5. Add/Subtract mixed numerals

10. Explain computation in a word problem.

14. Solve problem about fractional increases and/or decreases

19. Explain and correct student error about multiplying fractions.

b. meaning of fraction/mixed number operations

6

5

11

c. meaning of decimal operations (tenths-thousandths)

6

5

11

d. solve word problems

6

5

11

e. estimation/reasonableness of results

5

6

11

f. understand standard & non-standard algorithms

5

5

10

15. Explain why invert-and-multiply works in fraction division.

20. Identify and correct student error in multiplying decimal numbers.

g. effects of adding, subtracting, multiplying, dividing

4

3

7

h. solve percentage problems

1

2

3

i. solve proportions

0

2

2