MAFS.912.F-TF.1.1Archived Standard

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Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle; Convert between degrees and radians.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Trigonometric Functions
Cluster: Level 1: Recall
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 1: Recall - 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.

Lesson Plans

What is a Radian?:

Students participate in an activity that allows them to see physically and visually what a radian is. The lesson continues with the connection of radians and numbers expressed in terms of . Students will fill out a blank unit circle and provide themselves with their own "reference/study" guide for radian measures.

Type: Lesson Plan

Rotation Debate: Radians vs Degrees:

In this lesson, students will convert from degrees to radians and radians to degrees and calculate arc length using both degrees and radians. Students will come to consensus as to why radians are the preferred measure of an angle. This lesson normally takes two 50 minute class periods to teach.

  • Day 1: Bell Ringer-Day 1, Lesson Notes, Activity 1
  • Day 2: Day 1 Review and Wrap-up, Bell Ringer-Day 2, Activity 2

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

Original Student Tutorial

Ferris Wheel Measures:

Learn about the radian measures of an angle, finding an angle measure in radians given the arc length and length of the radius, and converting between degree measures and radian measures in this interactive tutorial.

Type: Original Student Tutorial

Original Student Tutorials Mathematics - Grades 9-12

Ferris Wheel Measures:

Learn about the radian measures of an angle, finding an angle measure in radians given the arc length and length of the radius, and converting between degree measures and radian measures in this interactive tutorial.

Student Resources

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

Original Student Tutorial

Ferris Wheel Measures:

Learn about the radian measures of an angle, finding an angle measure in radians given the arc length and length of the radius, and converting between degree measures and radian measures in this interactive tutorial.

Type: Original Student Tutorial

Parent Resources

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