3.5 - Completing the Square
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Edward D Coleman
Used 151+ times
FREE Resource
7 Slides • 8 Questions
1
3.5 - Completing the Square
Math II
Unit 3 - Quadratic Functions
Mr. Coleman
2
3
Perfect Square Trinomials
Quadratic equations that can be rewritten in the form of
or
4
Think About It:
What value should go in the blank to complete this square - and what would be the perfect square trinomial we get as a result?
(Hint - don't overthink it, use the area model - what are the dimensions of the purple square?)
5
Multiple Choice
Based on this area model, which of the following perfect square trinomials should be equal to
?6
Open Ended
Draw out an area model like the previous example to determine the perfect square trinomial for
.7
The Pattern
The expanded form of will have a middle coefficient that is DOUBLE the value of a, and a constant that is the SQUARE of a.
(Note the sign change for )
8
Multiple Choice
9
10
The Process
1) Move c term to the other side.
2) Take HALF of the b value, SQUARE it, add to BOTH sides.
3) Rewrite left side as binomial square.
4) Solve by extracting square roots.
11
Open Ended
12
Multiple Choice
13
Multiple Choice
14
Open Ended
15
Open Ended
3.5 - Completing the Square
Math II
Unit 3 - Quadratic Functions
Mr. Coleman
Show answer
Auto Play
Slide 1 / 15
SLIDE
