Rich – AAT(H)
Name: _________________________________
FINAL EXAM REVIEW
Date: _____________________ Period: _______
Some things to remember when studying for the final exam:
1. This final exam is designed to be taken during one 75 minute class period.
2. This final exam will be multiple choice and short answer, all with a calculator.
3. In addition to these example problems, you should also review all previous tests, quizzes, & WINKs as
well as the midterm (Unit 3 Parts A & B) and the Unit Circle.
4. This final exam will cover all of the topics in Unit 3, Unit 4 and Unit 5.
Final Exam Review Book Problems
Unit 3 Part A: Trigonometry and the Unit Circle
Unit 3 Part B: Graphing Trigonometric Functions
For Unit 3 Part A and B, use the abbreviated midterm review listed below:
 pg. 527 #3 – 13 odds, 19 – 25 odds, 33 – 39 odds, 51, 59 – 77 odds, 85 – 99 odds, 101 – 107 odds, 135, 137, 140, 145 – 148
 pg. 644 #1 – 31 odds, 10, 12
Unit 3 Part C: Simplifying, Verifying, and Solving Trigonometric Expressions and Equations
 pg. 582 #1 – 21 (skip 15 & 16), 23, 25, 26, 29 – 44, 47 – 50
Unit 4: Systems of Equations and Inequalities
 pg. 725 #1 – 11 odd, 15 – 18, 19 – 25 odd, 27 – 30, 65 – 69 odd, 68, 73, 74
 pg. 794 #25 – 61 odd
Unit 5: Probability and Statistics
 pg. 110 – 117, 119 – 124
Learning Targets for Semester 2 Final Exam 2013
Essential Questions: Think of these EQs as you are studying for the midterm.
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What is the important information?
What do I need in order to start the problem?
How is this similar or different from what I have done before?
What can I do to retain what I have learned?
How can I use this and how does it apply to my life?
How do I remember this?
Do I need help and where do I go to find it?
How would a calculator make this problem easier to do?
How do I tell which method to use and how do I apply it?
Is there another way to do the problem and which is better?
What should this function look like?
Learning Targets: These are all of the LTs that have appeared in Unit 3, Unit 4, and Unit 5. They are all fair game, though it would
be impossible for all LTs to appear on the final exam. I would recommend using this as a checklist of skills to help you identify the
topics you need help on, and the topics in which you are confident.
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LT 3.A.1: evaluate trigonometric functions of acute angles (including special right triangles)
LT 3.A.2: use the fundamental trigonometric identities
LT 3.A.3: use a calculator to evaluate trigonometric functions
LT 3.A.4: use trigonometric functions to model and solve real-life problems
LT 3.A.5: evaluate trigonometric functions of any angle
LT 3.A.6: use reference angles to evaluate trigonometric functions
LT 3.A.7: determine the quadrant of an angle based on the sign of the given trigonometric function
LT 3.A.8: find all trigonometric values of a function with given contraints
LT 3.A.9: use the Law of Sines to solve oblique triangles, including the ambiguous case
LT 3.A.10: find the areas of oblique triangles
LT 3.A.11: use the Law of Sines to model and solve real-life problems
LT 3.A.12: use the Law of Cosines to solve oblique triangles
LT 3.A.13: use the Law of Cosines to model and solve real-life problems
LT 3.A.14: sketch and describe angles
LT 3.A.15: find coterminal angles
LT 3.A.16: convert degrees, minutes, and seconds to decimal form and vice versa
LT 3.A.17: convert between degree and radian measures
LT 3.A.18: use degree and radian measures
LT 3.A.19: use the unit circle to identify trig functions of angles
LT 3.A.19: find arc length
LT 3.A.20: use angles to model and solve real-life problems
LT 3.B.1: identify periodic functions and their amplitudes
LT 3.B.2: sketch the graphs of basic sine and cosine functions
LT 3.B.3: use amplitude and period to help sketch the graphs of sine and cosine functions
LT 3.B.4: sketch translations of graphs of sine and cosine functions
LT 3.B.5: use sine and cosine functions to model real-life data
LT 3.B.6: write the equation of a sine or cosine function given a graph
LT 3.B.7: sketch the graphs of basic tangent functions
LT 3.B.8: sketch translations of graphs of tangent functions
LT 3.B.9: sketch the graphs of reciprocal trig functions, including translations
LT 3.B.10: write the equation of a tangent or reciprocal function given a graph
LT 3.C.1: recognize and write the fundamental trigonometric identities
LT 3.C.2: use the fundamental trigonometric identities to simplify and rewrite trigonometric expressions
LT 3.C.3: verify trigonometric identities
LT 3.C.4: use the fundamental trigonometric identities to evaluate trigonometric functions
LT 3.C.5: use standard algebraic techniques to solve trigonometric equations
LT 4.A.1: use the method of substitution to solve systems of linear and nonlinear equations in two variables
LT 4.A.2: use the method of graphing to solve systems of linear and nonlinear equations in two variables (with and without a graphing calculator)
LT 4.A.3: use systems of equations to model and solve real life problems
LT 4.A.4: use the method of elimination to solve systems of linear equations in two variables
LT 4.A.5: determine if a system of equations has zero, one, or infinite solutions
LT 4.A.6: write matrices and identify their orders
LT 4.A.7: enter a matrix in the graphing calculator
LT 4.A.8: use basic operations with matrices
LT 4.A.9: use matrices to solve 3 variable systems of equations
LT 4.A.10: use matrices to solve real-life problems
LT 4.A.11: sketch the graphs of inequalities in two variables
LT 4.A.12: solve systems of inequalities
LT 4.A.13: use systems of inequalities in two variables to model and solve real-life problems
LT 4.A.14: solve linear programming problems
LT 4.A.15: use linear programming to model and solve real-life problems
LT 5.A.1: use the Fundamental Counting Principle to solve counting problems
LT 5.A.2: use permutations to solve counting problems
LT 5.A.3: use combinations to solve counting problems
LT 5.A.4: find the probability of events
LT 5.A.5: find the probability of mutually exclusive events
LT 5.A.6: find the probability of independent events
LT 5.A.7: find the probability of the complement of an event