This is a lesson on shrinks and stretches 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 lesson is in a Power Point that is 41 slides. The 3 assignments are in a PDF with solutions. It is 6 pages total.
A. Page 1, cover sheet
B. Pages 2-18 shrink and stretch points on the plane to gain intuition about these concepts.
C. Pages 19-41 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. The 1st PDF assignment is 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.
E. The 2nd PDF assignment is an 8 question assignment where the learner matches stretched and shrunk functions to graphs and tables of values. The problems are all on 1 page for easy printing.
F. The 3rd PDF assignment is a 21 question assignment where the learner has to distinguish between a 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.