| Middle School Algebraic Item Specification Chart | |||||||
|---|---|---|---|---|---|---|---|
S | T | A | Type I | Type II | Type III | Type IV | |
1. Patterns, Functions, Relations, Formulas | |||||||
a. patterns (generating/ generalizing) | 7 | 4 | 11 |
|
| 11. Identify, complete, and find nth-term for pattern. |
|
b. direct variation | 6 | 4 | 10 |
|
| 12.Write an equation from a problem and solve problem given specific information. | 19. Identify and correct error in writing a direct variation equation. |
c. relation and function representations | 4 | 5 | 9 |
| 6. Identify tables that do not represent linear functions. 10. Given graph of function, find the equation of a horizontal translation. |
| |
d. interpreting linear functions/slope/ intercept | 5 | 4 | 9 | 2. Identify four points on a given line. | 7. Identify equation of a given line on the Cartesian plane. |
| 16. Correct errors in graphing lines. |
e. reading/interpreting graphs of functions | 5 | 4 | 9 |
|
| 14. Given situation, identify best parameters and describe slope or intercept of the lines. |
|
f. formulas | 6 | 2 | 8 | 3. Find midpoint of line between two points. Find distance between two points. |
|
|
|
g. bivariate and univariate data | 1 | 2 | 3 |
|
|
|
|
h. inverse/indirect variation | 2 | 0 | 2 |
|
|
|
|
i. iterative & composite functions | 0 | 2 | 2 |
|
|
|
|
2. Expressions and Polynomials | |||||||
a. expression/polynomial representations | 7 | 5 | 12 |
| 8. Write an expression given representation of paper clips in boxes. |
|
|
b. computation with expressions | 7 | 5 | 12 | 4. Simplify a rational expression. |
|
| 17. Identify errors in computing with expressions and provide a strategy. 18. Identify errors students make in simplifying expressions and provide a strategy. |
c. variables | 7 | 4 | 11 |
| 9. Interpret a sentence using mathematical symbols and variables. |
|
|
3. Equations and Inequalities | |||||||
a. solving linear equations/ inequalities | 7 | 4 | 11 | 1. Solve proportion with two variables for one of the variables. 5. Solve equation in one variable. |
| 13. Given relationship between two variables, write equation and/or draw graph and solve problem. | 20. Correct error in using variables to represent equality/variation. |
b. linear equation/inequality concepts | 7 | 3 | 10 |
|
|
|
|
c. structures/field properties/notation | 3 | 3 | 6 |
|
| 15. Identify flaws in reasoning or proofs using number properties and laws. Prove generalizations about numbers. |
|
d. systems of equations | 3 | 3 | 6 |
|
|
|
|
e. quadratic & non-linear equations | 2 | 3 | 5 |
|
|
|
|
f. matrices | 0 | 4 | 4 |
|
|
|
|