**Sub-claim:**A

The students solve problems involving the Major Content with connections to the Standards for Mathematical Practice

**Type of items:**Type 1

**Color Code:**Peach

**Evidence Statement Key:**F-IF.4-1

**Calculator:**X

Y = Yes; Assessed on Calculator Section

X = Calculator is Specific to Item

N = No; Assessed on Non-Calculator Sections

Z = Calculator Neutral (Could be Calculator or Non-Calculator Sections)

**Point:**1 each (1:26)

**Evidence Statement Text:**

For a linear or quadratic function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums end behavior; and symmetries.★

**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**

i) See illustrations for F-IF.4 at http://illustrativemathematics.org, e.g.http://illustrativemathematics.org/illustrations/649 http://illustrativemathematics.org/illustrations/637 http://illustrativemathematics.org/illustrations/639

**Sample Questions (taken from PARCC’s Practice Tests and Released Items):**

EOY Released Test Item 22

Paper Test, Unit 1, Item 9

2016 #22

**1. EOY Released Test Item 22**

A parabola with the equation y = a(x-b)

^{2 }+ c has a minimum at the point (2, -1) and a y-intercept of 3 when graphed in the xy-coordinate plane.

__Part A:__

What are the values of a, b, and c?

Select the three that apply.

A. a=-1

B. a=1

C. a=2

D. b=-2

E. b=2

F. c=-1

G. c=1

__Part B:__

What are the x-intercepts of the parabola?

Select all that apply.

A. -3

B. -2

C. -1

D. 0

E. 1

F. 2

G. 3

**2. Paper Test, Unit 1, Item 9**

Use the information provided to answer Part A and Part B for question 9. The function f(x)=4x-x

^{2}is graphed in the xy-coordinate plane as shown.

__Part A:__

Based on the graph of the function, which statements are true? Select all that apply.

A. f is increasing on the interval x < 0.

B. f is decreasing on the interval x < 0.

C. f is increasing on the interval 0 < x < 2.

D. f is increasing on the interval 0 < x < 2.

E. f is increasing on the interval 2 < x < 4.

F. f is decreasing on the interval 2 < x < 4.

G. f is increasing on the interval x > 4.

H. f is decreasing on the interval x > 4.

__Part B:__

Based on the graph of the function, which statements are true? Select all that apply.

A. f(x) < 0 on the interval x < 0.

B. f(x) > 0 on the interval x < 0.

C. f(x) < 0 on the interval 0 < x < 2.

D. f(x) > 0 on the interval 0 < x < 2.

E. f(x) < 0 on the interval 2 < x < 4.

F. f(x) > 0 on the interval 2 < x < 4.

G. f(x) < 0 on the interval x > 4.

H. f(x) > 0 on the interval x > 4.

**3. 2016 #22**

__Part A:__

A projectile is shot into the air. The altitude of the projectile after t seconds is modeled by the function graphed. Time t is measured in seconds and altitude h(t) is measured in feet.

Which of these statements is true?

A. The projectile reaches a maximum altitude of 12 feet.

B. The projectile reaches its maximum altitude after 12 seconds of flight.

C. The projectile is launched from the ground.

D. The altitude of the projectile is increasing on the interval 5 < t < 20.

__Part B:__

The table models the flight of the projectile from Part A.

Which of these statements is true?

A. h(4) < h(20)

B. The flight is symmetric about the line t = 10.

C. The projectile will hit the ground at some value of t less than 24.

D. If 0 < a < 12, then h(12-a) = h(12+a)

**Answers:**

*...to be posted soon*

**Reference:**

PARCC. (n.d.). Retrieved January 13, 2017, from http://www.aps.edu/assessment/parcc