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-REI.4a-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:
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
2. 2016 #13
The vertex form of the equation of a quadratic function is
Type of items: Type 1
Color Code: Peach
Evidence Statement Key: A-REI.4a-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:
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 - _____ )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
(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
#1.) EOY Released Test Item 18
#2.) 2016 #13
Reference:
PARCC. (n.d.). Retrieved December 20, 2017, from http://www.aps.edu/assessment/parcc
