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