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Lesson Plan

Understand the features of the tangent graph by using the unit circle

teaches Common Core State Standards TR.UC.2
teaches Common Core State Standards TR.PF.7
teaches Common Core State Standards MAFS.912.F-TF.1.2
teaches Common Core State Standards CCSS.Math.Content.HSF-TF.A.2
teaches Common Core State Standards CCSS.Math.Practice.MP6
teaches Common Core State Standards CCSS.Math.Practice.MP4
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Big Ideas: The unit circle has a radius of 1, so sin (t) =y/1=y and cos(t) =x/1=x and any point on the unit circle (x, y) can be labeled (cos(t),sin(t)). Therefore cos(t) and sin(t) can be evaluated using the reference triangles derived from Pythagorean Theorem. A trigonometric ratio is a function that has a domain and can be graphed using the terminal ray of the unit circle. The sine and cosine functions have a period of 2pi and an amplitude of 1. The tangent graph is undefined at positive or negative pi/2 and has a period of pi . This lesson builds on student understanding of the graphs of the trigonometric functions. The task pushes students to use their knowledge of the unit circle to create a graph for the tangent function. The lesson builds toward the understanding of application based problems that come later in the lesson sets. Special Materials: graph paper
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