Academic Standard

Geometry and Measurement
Initiative: 
Tennessee Diploma Project
Set: 
Mathematics
Type: 
Standard
Code: 
4
Grade range: 
9 to 12
Conceptual StrandGeometry studies geometric shapes and structures and their characteristics and relationships. Understanding what a measurable attribute is and becoming familiar with the units and processes that are used in measuring attributes are the major emphasis of this standard.Guiding QuestionHow can students make and explore conjectures about geometry and reason carefully about geometric ideas while expanding their understanding of precision in measurement?
 
Elements within this Standard
 
Course Level Expectation
Understand the trigonometric functions and their relationship to the unit circle.
Know and use the basic identities of sine, cosine, and tangent as well as their reciprocals.
Graph all six trigonometric functions and identify their key characteristics.
Know and use the Law of Sines to find missing sides and angles of a triangle, including the ambiguous case.
Use trigonometric concepts, properties and graphs to solve problems.
Check For Understanding
Convert between radians and degrees and vice versa.
Determine the period and the amplitude of a periodic function.
Extend the trigonometric functions to periodic functions on the real line by defining them as functions on the unit circle.
Understand the relationship between the radius, the central angle, and radian measure.
Determine the domain and range of the six trigonometric functions given a graph.
Know and be able to use the fundamental trigonometric identities, including the Pythagorean identities, reciprocal identities, sum of sine and cosine, and odd
State Performance Indicator
Exhibit knowledge of unit circle trigonometry.
Match graphs of basic trigonometric functions with their equations.
Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems.