Elementary Rational Number Item Specification Chart— 5/23/05  

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 




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 (tenthsthousandths)  6  5  11 




d. solve word problems  6  5  11 




e. estimation/reasonableness of results  5  6  11 




f. understand standard & nonstandard algorithms  5  5  10 

 15. Explain why invertandmultiply 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 



