Clarifications:
Essential Understandings
Concrete:
- Identify the graph of y= sinx.
- Identify the graph of y=cosx.
- Use the unit circle to make a table of critical values for the sine or cosine graphs.
- Match values from the unit circle table to values in the graph.
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- Understand that basic sine function intersects the y axis at (0,0).
- Understand that the basic cosine function intersects the y axis at (0,1).
- Understand that a basic sine or cosine function has an amplitude of 1 and a period of
. - Understand that a sine function can be written as y=Asin(Bx) where A= amplitude, B= change in period.
- Understand that a cosine function can be written as y=Acos(Bx) where A= amplitude, B= change in period.
- Understand the following concepts and vocabulary: amplitude, maximum, minimum, frequency, intercept, sine, cosine, period, midline, coordinate plane.
- Use tools to graph sine and cosine functions (e.g., calculator, graphing software).
- Understand that the x axis in a sine and cosine graph is in radians. For example:
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| Number: MAFS.912.F-TF.2.AP.5a | Category: Access Points |
| Date Adopted or Revised: 06/14 |
Cluster:
Model periodic phenomena with trigonometric functions. (Algebra 2 - Additional Cluster) : Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters. |