PG32,33, 42-53

Today in class we...

Answered questions and corrected PG 22-41...extended due date until Tuesday November 23

Discussed Modeling Parabolas by completing PG32, and 33 together

Steps:
1) Determine the location of the x- and y- axes
2) Determine the vertex of the parabola (x, y) h=x-coordinate of vertex, k=y-coordinate of vertex
3) Plug h and k into graphing form of the equation, y=a(x-h)^2+k
4) Choose a point other than the vertex to plug into the equation (x-intercepts work well here) so that the only variable left is "a"
5) Solve for "a"
6) Plug "a", "h", and "k" into the graphing form of the equation and sketch a graph.
Done!

Discussed Completing the Square using algebra tiles and completing PG46 and 47 together, then doing 48 and 49 in groups.

Steps:
1) Arrange x^2 and x tiles into a square
2) Fill in with unit tiles
3) Write the name of the square and how many unit tiles you are short/long

or:
1) Take coefficient of x
2) Divide by 2... this becomes (-h) in the graphing form of the equation...
3) Take the value in step 2 and square it
4) Subtract the value from step 3 from the number of units in the standard form or the equation...this becomes k in the graphing form of the equation.

Homework: PG42-44, 53 due on Tuesday.