ALEX Learning Activity

  

Unit Circle: Making Your Own

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Kristy Lacks
System:Marshall County
School:Douglas High School
  General Activity Information  
Activity ID: 2607
Title:
Unit Circle: Making Your Own
Digital Tool/Resource:
Blank Unit Circle PDF
Web Address – URL:
Overview:

The Blank Unit Circle PDF is a tool that can be used to study the Unit Circle and the different parts that make up the Unit Circle such as reference angles, radian measure, trigonometric ratios, and angle measurements. After a lesson on the Unit Circle, students will be asked to fill out the Blank Unit Circle PDF to be turned in as an Exit Ticket.

This activity was created as a result of the ALEX Resource Development Summit.

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 9-12
Algebra II with Trigonometry
37 ) Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. [F-TF1]

Mathematics
MA2015 (2016)
Grade: 9-12
Algebra II with Trigonometry
38 ) 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. [F-TF2]

Learning Objectives:

Students will use radian measure as a ratio of the arc length to the radius.

Students will be able to accurately find relationships of trigonometric functions for an acute angle of a right triangle to measure within the unit circle.

Students will be able to find the reference angle for any angle found by a revolution on a ray in the coordinate plane.

Students will be able to relate the trigonometric ratios for the reference angle to those of the original angle.

Students will be able to determine the appropriate sign for trigonometric functions of angles of any given size.

  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

  1. After a lesson on the Unit Circle, the teacher will distribute the Blank Unit Circle PDF to each student.
  2. Students will be instructed to fill in the Blank Unit Circle PDF as directed on the worksheet and turn in as an Exit Ticket.
Assessment Strategies:

The teacher would assess the students by grading the student’s Blank Unit Circle PDF Exit Ticket.


Advanced Preparation:

  1. The teacher would need to make copies of the Blank Unit Circle PDF handout for each student.
Variation Tips (optional):

If time is limited, the teacher could instruct the students to fill in only a portion of the Blank Unit Circle PDF.

The teacher could make the Exit tickets be a race and number the Exit Tickets as they were turned in. The student with the most correct in the shortest amount of time would win. A prize could be given the next day at the start of class.

Notes or Recommendations (optional):

ALCOS 2019

Alg II. 21).  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, building on work with non-right triangle trigonometry.

Alg II. 34).  Define the radian measure of an angle as the constant of proportionality of the length of an arc it intercepts to the radius of the circle; in particular, it is the length of the arc intercepted on the unit circle.

  Keywords and Search Tags  
Keywords and Search Tags: cosine, radian, radian measure, reference angles, right triangles, sine, trigonometry, unit circle