Trigonometric Functions Review

Objective

SWBAT assess their current understandings to review all concepts covered in the Trigonometric Functions unit to prepare for tomorrow's test.

Big Idea

Students guide the lesson as the teacher helps them review for tomorrow's test.

Lesson Author

Tiffany Dawdy

Phoenix, AZ

Grade Level

Twelfth grade

Subjects

Math

Symmetry

trigonometric functions (Graphing)

Standards

HSF-IF.C.7e

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF-TF.A.1

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

HSF-TF.A.2

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.

HSF-TF.A.3

(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.

HSF-TF.A.4

(+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

HSF-TF.B.5

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

MP8

Look for and express regularity in repeated reasoning.

Common Mistakes on Group Quiz

10 minutes

Today, I would like to spend some time at the start of class reviewing the Group Quiz that my students took earlier in the unit. I will just review the common mistakes made and take any questions from students. This might also be a good time for a Favorite No activity.

Review

40 minutes

Students should spend this period working through their Trigonometric Functions Review and asking any questions they have about the materials on tomorrow's test.

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