Monday, April 14, 2008
Algebra (Class 68)
Announcements
Test Friday, April 18 focusing on quadratic relationships.
Lesson Title
Trading Land
Overview
The Warm-Up for today’s class remains focused on using concepts of scale, ratio, proportion, and logical reasoning to puzzle out the locations of various places on a map. We don’t have a new lesson today, instead we spend the time working problems from the ACE section in order to solidify and deepen what we have recently studied.
Textbook Sections
Supplemental
Connected Math: Frogs, Fleas, and Painted Cubes- Reading Graphs and Tables 1.3 ACE Problems
Vocabulary
rectangle
area
perimeter
maximum
quadratic relationship
parabolas
function
symmetry
line of symmetry
x-intercepts
roots
y-intercepts
parabola
expression
factored form
expanded form
Key Attitudes
Math is about investigating and confirming
Key Ideas
Relationships can be categorized as linear or non-linear.
A quadratic relationship is a special type of non-linear relationship.
Graphs of non-linear relationships will be curved-- not striaght.
The graphs of quadratic relationships are “U” shaped, open up or down, are symmetrical about a vertical line half-way between the x-intercepts.
Key Skills
I can enter a quadratic equation into a graphing calculator.
I can use a graphing calculator to make a table of values, including adjusting the starting value and the increment between “x” values.
I can use a table of value to find the maximum or minimum of a quadratic relationship.
I can use a table of values relating the area to the length of a side of rectangles with a fixed perimeter to determine the perimeter of the rectangle.
I can describe a graph of a quadratic equation using x-intercepts, y-intercept, location of the line of symmetry, location of the vertex, and the direction of the opening of the parabola.
I can describe the important features of a parabola (x-int, y-int., L.O.S., vertex, opens up or opens down)
I can create expressions to represent to represent the relationship between the side length and the area of a rectangle with fixed area.
Turn-In (#67)
ACE p.11 #4-20, 24-28
Handouts
No Handouts Posted
Assignment
ACE p. 11 #11-20, 26, 27
Get “Course Selection for Next Year” signed by a parent
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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