Reflection: Developing a Conceptual Understanding Radians Day 1 of 2 - Section 4: The Unit Circle


The Unit Circle* handout is the piece of this and future lessons that puts everything together into a coherent package.  Today, my students started by adding on the radian measures.  This is really important as it helped them see the division of a half circle in terms of radians.  I found it helpful to state that π/2 is the same as ½π.  While this should be obvious, so many of my students are still frightened by and struggle with fractions.  I continued to use this way of talking about radians both in this lesson and in the other lessons as it seemed to reinforce this idea with my students.  As we went into the bottom half of the unit circle, I again talked about the other way to say the radians.  For example, 3π/2 is the same as 1 1/2 π.  They didn’t write this down but it seemed to help them make sense of the idea of radians.  

*Please note that this is a completed unit circle.  The highlighted portion was added in the lesson on the Unit Circle.  

  Developing a Conceptual Understanding: Increasing Comprehension Through Multiple Representation
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Radians Day 1 of 2

Unit 9: Trigonometric Functions
Lesson 4 of 19

Objective: Students will be able to use radians to measure angles.

Big Idea: The stars in the sky are not necessarily the best way to measure angles, this lesson explains why.

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Math, Trigonometry, Algebra 2, Radians, master teacher project, degree, 11th Grade
  55 minutes
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