Friday, June 06, 2008
Algebra (Class 87)
Lesson Title
Completing the Square 2
Overview
This is our last class before the final! Yippee!
Our warm-up is one more problem involving using measurement, scale, and reasoning skills to solve a problem involving maps. The lesson will focus first on building fluency with solving quadratic equations by completing the square and then will move into understanding these solutions from a graphical perspective.
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”.
The solution to a quadratic equation can be represented by the intersection of a lines and a parabola.
The solution to a quadratic equation can be represented by the location of the x-intercepts.
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.
I can use a graphing calculator to solve a quadratic equation.
Turn-In (#86)
Standards Mastery (p.481)
Handouts
No Handouts Posted
Assignment
Standards Mastery- Skip: 8-11, 15, 16, 21, 28, 29, 36, 39, 40, 44, 45, 50, 53, 54
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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