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Unit 7 – Trigonometric Functions
Trigonometry is essentially the study of how lengths vary compared to the rotations or angles that create the length. Thus, this unit begins with careful development of essential angle and rotation terminology, including reference angles, quadrant work, and radian angle measurement. The sine and cosine functions are then defined in terms of the unit circle. Graphs of sine and cosine are developed from the simple to the complex. Important terminology, such as amplitude, frequency, period, and midline are reinforced through real world applications. The four trigonometric ratio functions are then defined with their basic characteristic and graphs examined.
Rotations and Angle Terminology
LESSON/HOMEWORK
EDITABLE LESSON
EDITABLE KEY
Radian Angle Measurement
The Unit Circle
The Definition of the Sine and Cosine Functions
More Work with the Sine and Cosine Functions
Basic Graphs of Sine and Cosine
Vertical Shifting of Sinusoidal Graphs
The Frequency and Period of Sinusoidal Graphs
Phase Shift
Sinusoidal Modeling
The Other Trigonometric Functions
Graphs of the Trigonometric Ratio Functions
Unit Review
Unit 7 Review – Trigonometric Functions
UNIT REVIEW
EDITABLE REVIEW
Unit 7 Assessment Form A
EDITABLE ASSESSMENT
Unit 7 Assessment Form B
Unit 7 Assessment Form C
Unit 7 Assessment Form D
Unit 7 Exit Tickets
Unit 7 – Mid-Unit Quiz (Through Lesson #5) – Form A
Unit 7 – Mid-Unit Quiz (Through Lesson #5) – Form B
Unit 7 – Mid-Unit Quiz (Through Lesson #5) – Form C
U07.AO.01 – Lesson 8.5 – More Work Graphing Sine and Cosine
EDITABLE RESOURCE
U07.AO.02 – Sinusoidal Equation Practice (Graph to Equation)
U07.AO.03 – Modeling the Length of Daylight with Sine Functions
U07.AO.04 – Daylight Modeling Teacher Instructions
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- Chapter 1 Linear Functions
- Chapter 2 Quadratic Functions
- Chapter 3 Quadratic Equations and Complex Numbers
- Chapter 4 Polynomial Functions
- Chapter 5 Rational Exponents and Radical Functions
- Chapter 6 Exponential and Logarithmic Functions
- Chapter 7 Rational Functions
- Chapter 8 Sequences and Series
- Chapter 9 Trigonometric Ratios and Functions
- Chapter 10 Probability
- Chapter 11 Data Analysis and Statistics
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Algebra 2 Worksheets with answer keys
Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Absolute Value Equations
- Simplify Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Dividing Complex Number (advanced)
- End of Unit, Review Sheet
- Exponential Growth (no answer key on this one, sorry)
- Compound Interest Worksheet #1 (no logs)
- Compound Interest Worksheet (logarithms required)
- Simplify Rational Exponents
- Solve Equations with Rational Exponents
- Solve Equations with variables in Exponents
- Factor by Grouping
- 1 to 1 functions
- Evaluating Functions
- Composition of Functions
- Inverse Functions
- Operations with Functions
- Functions Review Worksheet
- Product Rule of Logarithms
- Power Rule of Logarithms
- Quotient Rule of Logarithms
- Logarithmic Equations Worksheet
- Dividing Polynomials Worksheet
- Solve Quadratic Equations by Factoring
- Solve Quadratic Equations by Completing the Square
- Quadratic Formula Worksheets
- Quadratic formula Worksheet (real solutions)
- Quadratic Formula Worksheet (complex solutions)
- Quadratic Formula Worksheet (both real and complex solutions)
- Discriminant Worksheet
- Sum and Product of Roots
- Radical Equations
- Rationalizing the Denominator
- Simplify Rational Expressions Worksheet
- Dividing Rational Expressions
- Multiplying Rational Expressions
- Adding and Subtracting Rational Expressions (with like denominators)
- Adding and Subtracting Ratioal Expressions with Unlike Denominators
- Mixed Review on Rational Expressions
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4) Choose the best answer. If the degree of the numerator is exactly one greater than the degree of the denominator, there will be a (n) ____ asymptote. Oblique. 5) Find the vertical asymptote (s). f (x)= (x-1) (x+2) (x-4)/ (x+7) (x-5) (x-3) x= -7. x= 3. x= 5. 6) Find the vertical asymptote (s).
Unit 7: Exponential & Logarithmic Functions Homework 3: Intro to Logarithms Directions: Write each equation in exponential form. 1. log2128 = 7 2. 64 = 2 Directions: Write each equation in logarithmic form. 25b Directions: Evaluate each logarithm. Use the change of base formula when necessary. 7. 36 10. log_3 81 13. 1 16. 19. 35 10035 _ 8. 32 ...
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s that the line isdivided into, h is 6. The correct fraction is __ 4 .6 Draw a small. quare, a medium square, and a large square. hade __ 1 of each. Drawings will vary.6Draw a small. ircle, a medium circle, nd a large circle. S. ade __ 3 of each.4 Drawings will vary.3 Draw a short rectangl.
Trigonometry is essentially the study of how lengths vary compared to the rotations or angles that create the length. Thus, this unit begins with careful development of essential angle and rotation terminology, including reference angles, quadrant work, and radian angle measurement.
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Free Algebra 2 worksheets (pdfs) with answer keys-each includes visual aides, model problems, exploratory activities, practice problems, and an online component.
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