**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:**A-SSE.2-4

**Calculator:**Z

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:**

Use the structure of a numerical expression or polynomial expression in one variable to rewrite it, in a case where two or more rewriting steps are required.

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

i) Example: Factor completely: x^2 - 1 + (x - 1)^2 . (A first iteration might give (x+1)(x-1) + (x-1)(x-1), which could be rewritten as (x-1)(x+1+x-1) 1) on the way to factorizing completely as 2x(x-1). Or the student might first expand, as x^2 – 1 + x^2 -2x+1, rewriting as 2x^2- 2x, then factorizing as 2x(x-1).)

ii) Tasks do not have a real-world context.

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

EOY Released Test Item 20

Paper Test, Unit 1, Item 6

2016 #21

**1. EOY Released Test Item 20**

Complete the sentence by selecting the correct phrase.

The expression (a

^{2})^{2}- (b^{2})^{2}is an example of:
A. a system of equations

B. a polynomial of degree 2

C. a difference of squares

D. a completely factored expression

E. an exponential function

Which of the listed expressions are equivalent to (a

^{2})^{2}- (b^{2})^{2}? Select all that apply.
A. a

^{4 }^{ }- b^{4 }^{ }**B. a**

^{4 }^{ }+ b^{4}**C. (a**)

^{2 }^{ }+ b^{2}**(a**)

^{2 }^{ }- b^{2}
D.

**(a**)(a + b) (a - b)^{2 }^{ }+ b^{2}**E. (a**

^{ }- b)^{4}

^{}**2. Paper Test, Unit 1, Item 6**

^{2 }^{ }+ 6x - 8.

**Part A:**

**What is the vertex form of f(x)?**

**A. f(x) = 2**

**(x - 3)**- 4

^{2 }**B. f(x) = 2**

**(x + 3)**- 4

^{2 }**C. f(x) = 2**

**(x - 1.5)**- 12.5

^{2 }**D. f(x) = 2**

**(x + 1.5)**- 12.5

^{2 }Part B:

What is a factored form of f(x)?

A. f(x) = (2x + 1) (x - 8)

B. f(x) = (2x -1) (x + 8)

C. f(x) = 2(x + 4) (x - 1)

D. f(x) = 2(x - 4) (x + 1)

**3. 2016 #21**

Enter your answers in the boxes to show the complete factorization of the expression -5x

**+ 30**^{3 }**x****+ 35x. Enter your answers on the blanks.**^{2 }
-5x

**+30x**^{3}**+ 35x**^{2}
-5x (x

**+ ___x + ___)**^{2 }
-5x (x

**+ ___) (x + 1)**^{ }**Answers:**

*...to be posted soon*

**Reference:**

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