A-REI.2.4.a

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. Derive the quadratic formula from this form.

Assessment Banner - Assessment Questions Now Available!
Formative Assessments
Formative Assessments
Assessment Logo. Includes a gray clipboard on a blue background.
Students are asked to solve a quadratic equation by completing the square.
Complete the Square – 1
Assessment Logo. Includes a gray clipboard on a blue background.
Students are asked to solve a quadratic equation by completing the square.
Complete the Square – 2
Assessment Logo. Includes a gray clipboard on a blue background.
Students are asked to solve a quadratic equation by completing the square.
Complete the Square – 3
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
Virtual Manipulatives Logo includes a laptop on a yellow background.
This resource can be used to assess students' understanding of solving quadratic equation by taking the square root. A great resource to view prior to this is ``Solving quadratic equations by square root' by Khan Academy.
Solving Quadratics By Taking The Square Root
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Assessment Questions
Assessment Questions
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this question.
FSA Sample Question
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Videos of Expert Instruction
Videos of Expert Instruction
Use Real Link and Title
Use Real Link and Title
Use Real Link and Title
Hook/Performance Tasks
Hook/Performance Tasks
Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.
Braking Distance
Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
The problem presents a context where a quadratic function arises. Careful analysis, including graphing of the function, is closely related to the context. The student will gain valuable experience applying the quadratic formula and the exercise also gives a possible implementation of completing the square.
Springboard Dive
Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text