Students will learn how to sketch the graph of six trigonometric functions using period, phase shift, vertical shift, vertical stretch, and reflection transformations. Then the students will find the equation of the asymptotes, state the domain, and find the range of the function. Student use their knowledge of transformations to sketch the graph of sine, cosine, tangent, and cotangent functions. Then they will use their knowledge of the reciprocal functions of sine and cosine to aid in the graph secant and cosecant functions. In the last section, student will how to evaluate inverse trigonometric expressions using their knowledge of inverse trigonometric function's graphs and restrictions; right triangle trigonometry; and the unit circle. I have done the lesson planning for you!

Included in this resource:

Graphing Sine and Cosine Section

✔ Graphing Sine and Cosine Guided Notes (6 pages)

✔ Answer key to the Graphing Sine and Cosine Guided Notes (6 pages)

✔ Graphing Sine and Cosine Practice Activity 1 (4 pages)

✔ Graphing Sine and Cosine Practice Activity 2 (4 pages)

✔ Answer Keys to Sine and Cosine Practice Activities (8 pages)

✔ Graphing Sine and Cosine Check Point 1 (1 page)

✔ Graphing Sine and Cosine Check Point 2 (1 page)

✔ Answer Keys to Graphing Sine and Cosine Check Point Activities (2 pages)

Graphing Secant and Cosecant Section

✔ Student's Graphing Secant and Cosecant Guided Notes (3 pages)

✔ Teacher's Graphing Secant and Cosecant Guided Notes Answer Key (3 pages)

✔ Clickable Graphing Secant and Cosecant Google Slideshow (131 slides)

✔ Graphing Secant and Cosecant Practice Activity 1 (4 pages)

✔ Graphing Secant and Cosecant Practice Activity 2 (4 pages)

✔ Answer Keys to Graphing Secant and Cosecant Practice Activities (8 pages)

✔ Graphing Secant and Cosecant Check Point 1 (1 page)

✔ Graphing Secant and Cosecant Check Point 2 (1 page)

✔ Answer Keys to Graphing Secant and Cosecant Check Point Activities (2 pages)

Graphing Tangent and Cotangent Section

✔ Graphing Tangent and Cotangent Guided Notes (3 pages)

✔ Graphing Tangent and Cotangent Guided Notes Answer Keys (3 pages)

✔ Graphing Tangent and Cotangent Practice Activity 1 (4 pages)

✔ Graphing Tangent and Cotangent Practice Activity 2 (4 pages)

✔ Answer keys to Graphing Tangent and Cotangent practice activities ( 8 pages)

✔ Graphing Tangent and Cotangent Check Point 1 (2 pages)

✔ Graphing Tangent and Cotangent Check Point 1 (2 pages)

✔ Answer Keys to Graphing Tangent and Cotangent Check Point Activities (4 pages)

Evaluating Inverse Trigonometric Expressions Section

✔ Inverse Trigonometric Functions Guided Notes (4 pages)

✔ Inverse Trigonometric Functions Guided Notes Solution Key (4 pages)

✔ Evaluating Inverse Trigonometric Expressions Practice 1 (1 page)

✔ Evaluating Inverse Trigonometric Expressions Practice 2 (1 page)

✔ Answer Key to Evaluating Inverse Trigonometric Expressions Practice Activities (2 pages)

✔ Evaluating Inverse Trigonometric Expressions Check Point 1 (1 page)

✔ Evaluating Inverse Trigonometric Expressions Check Point 2 (1 page)

✔ Answer Keys to Evaluating Inverse Trigonometric Expressions Check Point Activities (2 pages)

Trigonometric Graphs Matching Activity

✔ 18 Trigonometric Function Cards (2 pages)

✔ 18 Transformation Cards (2 pages)

✔ 18 Trigonometric Graph Cards (5 pages)

✔ One Blank Answer form for students (1 page)

✔ Answer Key (1 page)

Summary of Content:

This Unit Bundle include 4 sections: (1) Graphing Sine and Cosine Functions, (2) Graphing Secant and Cosecant Functions, (3) Graphing Tangent and Cotangent Functions, and (4) Evaluating Inverse Trigonometric Expressions. Each section include the following material:

• 
  The Guided Notes helps students to determine the key characteristics of the function given the equation and then sketch the graph. The students will also learn how to write the equation of the six trigonometric functions given its graph or evaluating inverse trigonometric functions. Student's handout helps your students stay focus and engaged as you introduce graphing trigonometric functions or evaluating inverse trigonometric functions. You will find the guided notes help students organize lecture content and actively respond to material presented in the lesson.
• Using the Practice Activity your students will practice finding the key characteristics such as period, amplitude, phase shift, vertical shift, midline, and reflection. They will use this information to sketch two periods of the function and identify its domain and range. Most of the practice activity also includes a couple of questions where the student is given key characteristics of the function and they must find an appropriate trigonometric equation. Although not required, this activity was designed to be completed without the aid of a graphing calculator. I usually assign the first practice activity to my class as either a classwork or a homework assignment. Then I give the second practice activity to any students that need additional practice, re-teaching practice, or as additional practice prior to an assessment.
• This product includes two Check Point Activities. Check Point Activities can be used in multiple ways depending on the needs of your students. Most of the time I will use them as either exit tickets -- to assess my students learning at the end of the lesson, warm-ups -- to evaluate students learning at the beginning of the next lesson, or topic quizzes -- to obtain a formal assessment of students understanding of the lesson.

Related Products that Might Interest You:

☞ Trigonometric Functions Unit Bundle

☞ Trigonometry Guided Notes Bundle

☞ Trigonometry Check Point Activities Bundle

☞ Trigonometry Practice Activities Bundle

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Brainiac Mathematics