Monday, June 02, 2008
Algebra (Class 85)
Announcements
Next Test-- date TBA (the calendar has really thrown us off our regular testing schedule).
Lesson Title
Completing the Square
Overview
The warm-up today is the first in a new series, Maps 1. This series of problems requires that students use their measuring, ratio, data analysis, and logical reasoning skills to figure out the names of the landmarks on a map.
In the lesson for the day students learn another method for solving quadratic equations which is based on a geometric understanding of the situation— 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.
Turn-In (#84)
ACE p.64 #1, 11, 15-17, 21, 22
Standards Mastery (p.421) #1-25 (Don’t do “Chapter 9 Test” on the back yet)
Handouts
No Handouts Posted
Assignment
ACE p.66 #9, 10, 29a, 31, 33
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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