- standard
Experiment with transformations in the plane
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in…
- standard
Experiment with transformations in the plane
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of…
- standard
Prove and apply trigonometric identities
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
(+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
- standard
Prove and apply trigonometric identities
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
Prove the Pythagorean identity (sin A)^2 + (cos A)^2 = 1 and use it to find sin A, cos…
- standard
Model periodic phenomena with trigonometric functions
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and…
- standard
Model periodic phenomena with trigonometric functions
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing…
- standard
Model periodic phenomena with trigonometric functions
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
- standard
Extend the domain of trigonometric functions using the unit circle
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Trigonometric Functions
(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.