# Mathematics Support

Algebra II | Unit 1 2 3 4 5 6

### Unit 3

#### Introduction to Trigonometric Functions

Topic 1: Modeling Circular Motion

Use the sine ratio to determine the height of a point following a circular path at a given point on the circle. (cK–12 Flexbook Unit 3 Topic 1 SLT 1

Use the sine ratio to model the height of a point following a circular path at a given time. (cK–12 Flexbook Unit 3 Topic 1 SLT 2

Extend the definition of sine from a right triangle ratio to a function of an angle of rotation. (cK–12 Flexbook Unit 3 Topic 1 SLT 3

Use transformations of the sine function to model circular motion. (cK–12 Flexbook Unit 3 Topic 1 SLT 4

Use transformations of the cosine function to model a real-world problem. (cK–12 Flexbook Unit 3 Topic 1 SLT 5

Topic 2: Graphing Trigonometric Functions

Extend the domain of the sine and cosine functions to all real numbers, interpreted as radian measures of angles. (cK–12 Flexbook Unit 3 Topic 1 SLT 6

Graph sine and cosine as functions of real numbers, and identify key features of the graphs.

o Amplitude (cK–12 Flexbook Unit 3 Topic 1 SLT 7 amplitude) o Period (cK–12 Flexbook Unit 3 Topic 1 SLT 7 period) o Vertical Shift (cK–12 Flexbook Unit 3 Topic 1 SLT 7 vertical shift

Graph transformations of the sine and cosine functions, showing period, midline, and amplitude. (cK–12 Flexbook Unit 3 Topic 1 SLT 8

Use the sine and cosine functions to model real-world phenomena. (cK–12 Flexbook Unit 3 Topic 1 SLT 9

Define and graph the tangent function and identify key features of the graph. (cK–12 Flexbook Unit 3 Topic 1 SLT 10

Make connections among a variety of function types, their transformations, and their key features. (cK– 12 Flexbook Unit 3 Topic 1 SLT 11)

This document outlines concepts in each Topic for the Unit. When corresponding resources are available in cK12.org, a hyperlink is provided for the Flexbook. The cK12.org Flexbooks provide a variety of examples, definitions, and extra practice problems related to some of the concepts in Curriculum 2.0 Two-year Algebra 2, Algebra 2, and Honors Algebra 2. The concepts will be developed in greater depth and with appropriate vocabulary in the classroom. The materials in the Flexbooks are intended to provide additional support to the classroom expectations. The vocabulary and methods in these examples may differ slightly from the classroom expectation; however, the overall intent is consistent with the content expectation.

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