| Elementary Rational Number Item Specification Chart— 5/23/05 | |||||||
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Mathematics Content | S | T | A | Type 1 Items | Type II Items | Type III Items | Type IV Items |
1. Rational Number & Integer Concepts & Representations | |||||||
a. fractions | 7 | 5 | 12 |
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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. |
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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. |
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f. ratio and proportions | 1 | 4 | 5 |
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| 12. Use proportional reasoning to solve a word problem. |
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g. percents | 1 | 3 | 4 |
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| 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 |
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i. irrational numbers | 0 | 2 | 2 |
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j. small numbers (sci. notation) | 0 | 1 | 1 |
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k. use proportional thinking | 2 | 1 | 3 |
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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 |
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c. meaning of decimal operations (tenths-thousandths) | 6 | 5 | 11 |
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d. solve word problems | 6 | 5 | 11 |
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e. estimation/reasonableness of results | 5 | 6 | 11 |
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f. understand standard & non-standard algorithms | 5 | 5 | 10 |
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| 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 |
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h. solve percentage problems | 1 | 2 | 3 |
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i. solve proportions | 0 | 2 | 2 |
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