This is a lesson on stretches and shrinks for the student who is entering functional notation and the transformations made by multiplying and dividing quantities. The student should already be able to graph points. The 1st 37 slides are instructional. They break down as follows:
A. Page 1, cover sheet
B. Pages 2-14 stretch and shrink points on the plane to gain intuition about these concepts.
C. Pages 7-28 investigate how multiplied and divided quantities in functional notation stretch or shrink a graph. It is emphasized how a multiplication differs horizontally and vertically in y=x^2. In these investigations are a table of values and graphs drawn by a TI 84 graphing calculator of y=(3x)^2 and y=3x^2. The learner makes assumptions about division.
D. Pages 38-61 are a 21 question assignment where the learner distinguishes between horizontal and vertical stretches and shrinks given functions. The problems are all on 1 page for easy printing and it is coded for SMART Response if you have it.
E. Pages 62-72 are an 8 question assignment where the learner matches stretched or shrunk functions to graphs and tables of values. The problems are all on 1 page for easy printing and it is coded for SMART Response if you have it.
F. Pages 73-96 are a 21 question assignment where the learner has to distinguish between vertical stretch, vertical shrink, horizontal stretch and horizontal shrink given functions and points on a graph. The problems are all on 1 page for easy printing and it is coded for SMART Response if you have it.