**Sub-claim:**A

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

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)

Solve quadratic equations in one variable. a) Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions.

1. The derivation part of the standard is not assessed here; it is assessed under Subclaim C.

EOY Released Test Item 18

2016 #13

The vertex form of the equation of a quadratic function is

#1.) EOY Released Test Item 18

**Type of items:**Type 1**Color Code:**Peach**Evidence Statement Key:**A-REI.4a-1**Calculator:**XY = 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:**Solve quadratic equations in one variable. a) Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions.

**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**1. The derivation part of the standard is not assessed here; it is assessed under Subclaim C.

**Sample Questions (taken from PARCC’s Practice Tests and Released Items):**EOY Released Test Item 18

2016 #13

**1. EOY Released Test Item 18**
Select from the list to correctly complete the sentence.

To solve the equation x2 - x - 2 = 0 for x by completing the square, a student could use the equivalent equation

(x - _____ )

-1/4 -1/4

1/4 1/4

-1/2 -1/2

1/2 1/2

-9/4 -9/4

9/4 9/4

-3/2 -3/2

3/2 3/2

(x - _____ )

^{2}= _____-1/4 -1/4

1/4 1/4

-1/2 -1/2

1/2 1/2

-9/4 -9/4

9/4 9/4

-3/2 -3/2

3/2 3/2

**2.**

**2016 #13**

The vertex form of the equation of a quadratic function is

f(x) = a ( x - h )2 + k, where a, h, and k are constants.

Write the function f(x) = -3x2 + 18x - 21 in vertex form.

Fill in the missing numbers of the vertex form of the function. Enter your answers in the boxes.

**Answers:**

#1.) EOY Released Test Item 18

#2.) 2016 #13

**Reference:**

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