Wednesday, June 04, 2008
Algebra (Class 86)
Lesson Title
Completing the Square 2
Overview
The warm-up today continues in the same theme as last class-- using maps and logic to identify landmarks.
In the last class we saw how numbers and expressions can be written in equivalent ways, and how squaring a number can be represented by finding the area of a rectangle. Further we saw that some quadratic trinomials are in fact perfect squares and we learned how to decide to identify them. From this we learned how to use perfect squares to solve quadratic equations. Wow! That’s a lot!
Now today we extend these ideas, learning how to turn any quadratic equation into one involving a perfect square trinomial and then use what we learned in the previous class to solve it-- this is called solving a quadratic equation by completing the square.
Textbook Sections
§12-2 (Txt. p.564) Completing the Square
Vocabulary
rectangle
area
perimeter
maximum
quadratic relationship
parabolas
function
symmetry
line of symmetry
x-intercepts
roots
y-intercepts
parabola
expression
factored form
expanded form
standard form of a quadratic equation
quadratic formula
first difference
second difference
complete the square
matrix
Key Attitudes
Math is about investigating and confirming
Key Ideas
A quadratic equation can be solved by completing the square.
The process of completing the square requires that the quadratic equation is a perfect square trinomial.
Any quadratic equation can be forced to become a perfect square trinomial equation by the process called “completing the square”.
Key Skills
I can use a ruler to accurately measure.
I can use a scale on a map to convert measurements.
I can use a matrix of distance values.
I can complete the square.
I can solve a quadratic equation by completing the square where the coefficient of the second degree term is 1.
I can turn a quadratic equation whose coefficient of the second degree term is not 1 into a quadratic equation where the second degree coefficient is 1.
Turn-In (#85)
ACE p.66 #9, 10, 29a, 31, 33
Handouts
No Handouts Posted
Assignment
Standards Mastery (p.481)
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
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