**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 & Released Items):**

EOY Released Test Item 20

Practice Test, Unit 1, Item 6

2016 #21

**1. EOY Released Test Item 20**

Complete the sentence by selecting the correct phrase.

The expression (a2)2 - (b2)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 (a2)2 - (b2)2 ?

Select all that apply.

a. a4 - b4

b. a4 + b4

c. (a2 + b2) (a2 - b2)

d. (a2 + b2) (a + b) (a - b)

e. (a - b)4

**2. Practice Test, Unit 1, Item 6**PART A:

What is the vertex form of f(x)?

a. f(x) = 2(x - 3)2 - 4

b. f(x) = 2(x + 3)2 - 4

c. f(x) = 2(x - 1.5)2 - 12.5

d. f(x) = 2(x + 1.5)2 - 12.5

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 -5x3 + 30x2 + 35x.

Enter your answers in the boxes.

**Answers:**to be posted soon

**Reference:**PARCC. (n.d.). Retrieved December 20, 2017, from http://www.aps.edu/assessment/parcc