Lesson Plan

Understand the Unit Circle by applying knowledge of radians

teaches Common Core State Standards CCSS.Math.Content.HSF-TF.A.1 http://corestandards.org/Math/Content/HSF/TF/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Big Ideas: A circle’s central angle is equivalent to its corresponding arc length. When a circle has a central angle= 1 and arc length = 1 this special circle is called the unit circle. Students will begin to discover what the unit circle is in this lesson. Students will use the unit circle throughout the rest of their mathematics learning to understand trigonometric functions and later, calculus concepts. The major take-a-way from this lesson is that using the idea that there are 6.28 or 2 pi radians in any circle, we can determine arc length from central angles. Further, when the central angle is one, the arc length is one and when this special circle is drawn on the Cartesian Plan, we call it the Unit Circle. Vocabulary: unit circle, radian Special Materials: graph paper
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