MA.912.T.2.4

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Use the unit circle to express the values of sine, cosine and tangent for π-x, π+x, and 2π-x in terms of their values for x, where x is any real number.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Trigonometry
Standard: Extend trigonometric functions to the unit circle.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plans

Round and Round the Unit Circle:

This lesson discusses the Unit Circle and how to use co-terminal and/or reference angles to find angles on the Unit Circle. It is an extension of trigonometric functions using the real number line.

Type: Lesson Plan

Exact Trigonometric Ratios: Triangles to the Unit Circle:

This is a lesson in which the student learns and practices exact trig values. They are explained using triangles, then the unit circle, and then guided practice to be sure these concepts are mastered since they will be used in future problems in Pre-calculus and Calculus.

Type: Lesson Plan

Problem-Solving Task

As the Wheel Turns:

In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context.

Type: Problem-Solving Task

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Problem-Solving Task

As the Wheel Turns:

In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context.

Type: Problem-Solving Task

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Task

As the Wheel Turns:

In this task, students use trigonometric functions to model the movement of a point around a wheel and, through space. Students also interpret features of graphs in terms of the given real-world context.

Type: Problem-Solving Task