1.

2 points

The student correctly identifies all four rates of change: a. constant, b. varying, c. varying, d. constant.

1 point

The student correctly identifies any three rates of change.

0 points

The student provides less than three correct answers or no answers.

2.

2 points

The student identifies a constant rate of change and explains that the rate of change is constant because Chris adds the same amount of money each week to his savings.

1 point

The student identifies a constant rate of change or explains that the rate of change is constant because Chris adds the same amount of money each week to his savings.

0 points

The student provides incorrect or no answers.

3.

2 points

The student identifies a varying rate of change and explains that the rate of change is varying because the number of cards added each time is not the same.

1 point

The student identifies a varying rate of change or explains that the rate of change is varying because the number of cards added each time is not the same.

0 points

The student provides incorrect or no answers.

4.

2 points

The student identifies a varying rate of change and explains that the rate of change is varying because the car did not travel at the same speed, due to the stop.

1 point

The student identifies a varying rate of change or explains that the rate of change is varying because the car did not travel at the same speed, due to the stop

0 points

The student provides incorrect or no answers.

5.

2 points

The student writes the expression 8m – 2 to represent the total cost of tickets for the Smith family and identifies $38 as the total cost of tickets for a family of five.

1 point

The student writes the expression 8m – 2 to represent the total cost of tickets for the Smith family or identifies $38 as the total cost of tickets for a family of five.

0 points

The student provides incorrect or no answers.

10.

2 points

The student identifies x + (3 + 7) as the correct expression and explains that it illustrates the commutative property of addition.

1 point

The student identifies x + (3 + 7) as the correct expression or explains that it illustrates the commutative property of addition.

0 points

The student provides incorrect or no answers.

12.

2 points

The student identifies Austin’s equation as correct and explains that it is correct because the associative property of addition enables him to change the grouping of the numbers that are being added together without changing the answer.

1 point

The student identifies Austin’s equation as correct or explains that it is correct because the associative property of addition enables him to change the grouping of the numbers that are being added together without changing the answer.

0 points

The student provides incorrect or no answers.

13.

2 points

The student identifies Ginny’s equation as incorrect and explains that it is incorrect because Ginny failed to multiply each of the addends by 4. She only multiplied a by 4; she should have also multiplied b by 4.

1 point

The student identifies Ginny’s equation as incorrect or explains that it is incorrect because Ginny failed to multiply each of the addends by 4. She only multiplied a by 4; she should have also multiplied b by 4.

0 points

The student provides incorrect or no answers.

14.

Phase

Number of Ties

1

4

2

7

3

10

4

13

5

16

6

19

2 points

The student provides a correctly completed table and explains that the pattern is a linear function because there is a constant rate of change in both the phases (1 each time) and the number of ties (3 each time) from one term to the next.

1 point

The student provides a correctly completed table or explains that the pattern is a linear function because there is a constant rate of change in both the phases (1 each time) and the number of ties (3 each time) from one term to the next.

0 points

The student provides incorrect or no answers.

15.

2 points

The student identifies B as the nonlinear graph and explains that it is nonlinear because the rate of change varies from one term to the next..

1 point

The student identifies B as the nonlinear graph or explains that it is nonlinear because the rate of change varies from one term to the next..

0 points

The student provides incorrect or no answers.