Lesson 8 | Unit Circle and Trigonometric Functions | 11th Grade Mathematics

Objective

Evaluate transformations of sine, cosine, and tangent such as $${2{\pi-x}}$$, $${\pi-x}$$, and $${\pi+x}$$.

Lesson Map

Topic A: Trigonometric Ratios in Application and on the Unit Circle

Lesson

Sketch sine graphs to model contextual situations and identify features of sine graphs.

Standards

F.IF.B.4F.IF.C.7.EF.TF.A.4F.TF.B.5

Lesson

Sketch cosine graphs to model contextual situations and identify features of cosine graphs.

Standards

F.IF.B.4F.IF.C.7.EF.TF.B.5

Lesson

Find values of specific points on the unit circle using geometry.

Standards

F.TF.A.2F.TF.A.4

Lesson

Evaluate sines and cosines of points at reference angles on the unit circle.

Standards

F.TF.A.2F.TF.A.4

Lesson

Describe the relationship between the unit circle and tangent.

Standards

F.TF.A.2F.TF.A.3

Lesson

Define and evaluate the trigonometric functions of tangent, cosecant, secant, and cotangent.

Standards

F.TF.A.2F.TF.A.3

Lesson

Convert between degrees and radians and evaluate trigonometric functions written in radians.

Standards

F.TF.A.1F.TF.A.3

Lesson

Evaluate transformations of sine, cosine, and tangent such as $${2{\pi-x}}$$, $${\pi-x}$$, and $${\pi+x}$$.

Standards

F.TF.A.1F.TF.A.3

Topic B: Graphing Sine, Cosine, and Target

Lesson

Graph transformations of sine and cosine functions (Part I).

Standards

F.IF.C.7.EF.TF.A.1F.TF.A.3F.TF.A.4

Lesson

Graph transformations of sine and cosine functions (Part II).

Standards

F.BF.B.3F.IF.C.7.E

Lesson

Graph transformations of tangent functions.

Standards

F.BF.B.3F.IF.C.7.E

Lesson

Identify equations and graphs of all six trigonometric functions.

Standards

F.BF.B.3F.TF.A.3F.TF.B.5

Lesson

Model contextual situations using trigonometric functions (Part I).

Standards

F.TF.A.3F.TF.B.5

Lesson

Model contextual situations using trigonometric functions (Part II).

Standards

F.TF.A.3F.TF.B.5

Unit Circle and Trigonometric Functions

Objective

Lesson Map

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Unit Circle and Trigonometric Functions

Objective

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