Elementary Whole Number and Integer Concepts and Computation Item Specification Chart  

Mathematics Content  S  T  A  Type 1 Items  Type II Items  Type III Items  Type IV Items 
1. Whole Number Concepts & Representations  
a. place value  7  5  12  1.Determine expanded notation of a number.  6. Determine the symbolic representation of numbers named in words. 


b. large numbers  1  3  4  
c. relationships/comparisons  5  3  8  2. Determine number rounded to the nearest thousand, etc.  7. Approximate the location of numbers on a number line. 
 16. Identify and correct misconception about counting. 
d. counting strategies  6  1  7  
e. estimate/approximate/round  5  2  7  
2. Operations/Computation  
a. compute with whole numbers  7  6  13 

 11. Solve a problem using computation of whole numbers. 12. Place number in a foursquare that add to given numbers.  17. Explain how to help students make estimates in computation. 
b. estimation/reasonableness of results  5  6  11  
c. effects of adding, subtracting, multiplying, dividing  4  3  7  
d. meaning of whole number operations  7  5  12  3. Determine examples of commutative, associative, and distributive properties.  8. Determine a picture that represents multiplication or division.  13. Explain how an alternative algorithm works.  18. Identify and correct consistent error that student makes in computation. 
e. understand standard & nonstandard algorithms  5  5  10  
f. identify, understand, and use properties (associative, commutative, distributive)  5  2  7  
g. inverse operations  5  4  9  
h. meaning of integer operations; computing with integers  0  3  3  4. Solve number equation with integers. 
 14. Find three integers with a given sum and product.  19. Provide realworld explanations of operations with integers. 
i. integer concepts  2  4  6  
3. Number Theory & Number Systems  
a. factors, multiples, divisors  5  4  9  5. Determine true or false statements about multiples of numbers.  9. Determine the number of factors of a whole number. 10. Find the sum of the prime factors of a number.  15. Determine generalizations about special kinds of numbers (square, triangular, etc.).  20. Determine if student generalizations about numbers are correct. 
b. primes and composites  4  4  8  
c. classes of numbers (evens, multiples of 3, etc.)  4  4  8 