*Update* I've just added a "Colouring by Function Transformation" class set of worksheets to this product bundle. Enjoy!
Watch the preview video! This is a great teaching and learning tool, covering nearly every high school function taught!
Students will clearly experience the graphical effect of each algebraic parameter in the transformed equation: f(x) --> a f[k(x-p)] +q
File types: GSP5, and .docx
By manipulating the graph dynamically, students will make a strong connection between the graphical and algebraic representations of functions.
With easy-to-navigate separate sliders, students can manipulate the vertical stretch/compression, horizontal stretch/compression, horizontal translation, and vertical translation
Functions included: (see the tabs at the bottom of the screen)
-Radical (Square Root)
-Rational ( 1/x)
-Logarithmic (with an adjustable base value)
-Exponential (with an adjustable base value)
-Sinusoidal (Sine and Cosine in degrees, includes midline plotted)
-Tangent (in degrees, includes asymptote lines)
I included a handy Student Investigation Summary Sheet, where they can summarize the effect of changing each parameter.
Also, I included a worksheet on vertical and horizontal translations.
ALSO, I included a fun "Colouring by Function Transformation" activity that I'll bet your senior math class will love!
Main Common Core Expectations Addressed:
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Or, in the Ontario Curriculum, this file is ideal for MCR3U, MCF3M, and MHF4U.