MAFS.912.F-TF.1.2Archived Standard

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Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Trigonometric Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Extend the domain of trigonometric functions using the unit circle. (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.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1200335: Algebra 2 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated))
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 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.

Image/Photograph

Clipart ETC: Trigonometry and Analytic Geometry:

Clipart for Trigonometry and Analytic Geometry

Type: Image/Photograph

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

Spinning Angles in Radians and Degrees (Introductory lesson to exact trigonometric values):

This lesson introduces concepts that are the prerequisites to defining trig functions on the unit circle. Radian measure and converting between degrees and radians are introduced. Students will also learn how to draw and measure positive and negative angles in standard position, identify and draw co-terminal angles, and determine a reference angle.

Type: Lesson Plan

Tutorial

Introduction to the unit circle:

This tutorial gives an introduction to the unit circle. It also extends the students knowledge of SOH CAH TOA so that they can define trigonometric functions for a broader class of angles.

Type: Tutorial

Student Resources

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

Tutorial

Introduction to the unit circle:

This tutorial gives an introduction to the unit circle. It also extends the students knowledge of SOH CAH TOA so that they can define trigonometric functions for a broader class of angles.

Type: Tutorial

Parent Resources

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