## Honors Precalculus: Study Guide for Final

Honors Precalculus

Final Exam Areas of Emphasis

Final Exam Instructions

The Final

• The final will only count for one test.
• There will be a mix of problems, word problems and short answers.
• Approximately 2/3 of the test will be from the second half of the year with extra emphasis on the material from the end of the year.
• Calculators may be used but not shared.  If there is a chance that your batteries could fail, bring extra batteries.   If there is a chance that you might drop and break your calculator, bring a spare.  There will be no teachers’ calculators lent out.
• Bring sharp pencils, eraser, and ruler. Yes ruler.  Straight lines made with student IDs, credit cards and free hand lines will result in deductions.  You will have to draw graphs.  Graph paper will be provided.
• You need to know the math vocabulary that we used.  Looking through the book’s Glossary would be a good thing to do.

Test Instructions (provided here for your mental preparedness)

• Calculators can be used but not shared.
• Work done in the calculator without showing the underlying relationships on paper will not get any credit.
• Each mathematical equation must follow logically from the previous.  Equations must be written out in full using equal signs when called for (need I say that?)  “Back of envelop” type calculations will receive no credit.
• If multiple solutions are shown, the more incorrect will be graded.
• Work that is crossed out will not be examined.
• Use pencil and erase neatly if necessary.  Using pen or pencil and overwriting will result in deductions.
• Your work must be easily readable.  Decimal points should be clearly visible as well.
• You need to be expert in the use of your calculator.  No help will be provided.

Disclaimer:  Below is a partial list of some of the most important things we learned this year for emphasis.  It is not an exhaustive list of what will be tested.

Order of Operations (mistakes here are inconceivable)

Laws of algebra (mistakes here are inconceivable)

Area of Oblique Triangle pg. 414

Working with angles and their trig functions in all quadrants (need to know how to work with reference angles and assign the correct signs to trig functions is all quadrants.)

Graphs of Sine, Cosine, and Tangent functions.

THIS IS ROUGHLY THE SECOND SEMESTER WORK:

Vectors

Unit vectors

Dot product of two vectors

Angle between two vectors

Magnitude of vector given components

Trigonometric form of Complex numbers and the complex plane

Product and quotient of complex numbers in trigonometric form

Not testing roots of complex numbers (pg. 455) but Yes testing powers of complex numbers, pg.453

Interpreting zero’s of a graph

Interpreting graphs of simultaneous equations, i.e., solns. Are points of intersection

Two variable linear systems of equations, i.e. simultaneous equations

Law of Sines and dealing with the ambiguous case

Law of Cosines

All of Chapter 1

Chapter 2  2.1 to 2.4 inclusive, only

Quadratic function with (h,k) as vertex

Curve sketching

Long Division of polynomials

Synthetic division

NOT Remainder Theorem pg. 138

Complex numbers very important

Chapter 3 All

Rules of matrices that we learned.

Matrix addition, subtraction, multiplication.  Corresponding elements equal.