HolcombMath

Wednesday, May 26, 2010

Algebra 2 (Class 83)

Lesson Title
4.3.1 How can I write it in graphing form?

Overview
In Lesson 4.1.3 students found that one way to change the equation of a parabola form the standard form f(x)=ax^2+bx+c to graphing form f(x) = a(x-h)^2+k is to find the vertex and then substitute coordinates of the vertex for h and k. But how can you find the graphing form for an equation like x^2+4x+y^2+2y=11? In this lesson and the next students will learn a new method for doing just that!
Textbook Sections
4.3.1 (Txt. p.202) How can I write it in graphing form?

Vocabulary
parabola
parent graph
parameter
family of functions
transform
shift
stretch
compress
vertical
horizontal
relation

Key Attitudes
Willingness to work as a group to help meet individual and group goals.

Enduring Understandings
Changes in various parameters have specific effects on graphs of parent functions in the coordinate plane.

Essential Question
How can the equation of a parabola written in standard form be transformed into graphing form using just algebra?

Key Knowledge
Squares are easy! Changing a quadratic equation into a perfect square is the key to transforming any quadratic equation in standard form into graphing form.

Key Skills
I can change a quadratic equation in standard form into graphing form by completing the square.

Turn-In (#-1)
4-80 to 4-85

Handouts
No Handouts Posted

Assignment
4-91 to 4-98
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.