 ### Pre-Calculus

Welcome to Pre-Calculus. Students will spend one more year preparing for calculus, specifically exploring logarithms, trigonometry, algebra, series, and limits.

The syllabus for this class is available as a PDF.

We are using Standards-Based Grading (SBG). 75% of your grade consists of little tests on roughly 35 specific Algebra 2 skills. The skills themselves, along with the dates of the tests, are listed at the bottom of this page.

Homework is assigned each night and is due the next school day. When you are working assignments from the book, be sure to check all of your odd-numbered answers in the back of the book. If you've gotten the wrong answer, go back and do the exercise again until you understand how to do it.

#### Homework Assignments

The date you see is the date the homework was assigned. It is due the next school day. Most days, I have chosen the homework assignment as practice for the concepts and skills discussed in class. If you are working without distractions, a typical assignment will take you 20 minutes.

#### Pre-Calculus Skills

The skills listed below are based on the Common Core State Standards.

Second-semester skills

 Number Name Goal Textbook section Tested in class Notes 1 Adding and subtracting complex numbers To simplify the sum or difference of two complex numbers. P.6 1/12/17 1/18/17 1/26/17 2 Multiplying complex numbers To simplify the product of two complex numbers. P.6 1/12/17 1/18/17 1/26/17 3 Properties of logarithms To write a logarithmic expression as a sum of logarithms 3.4 1/12/17 1/18/17 1/26/17 4 Logistic models Given a logistic model, to describe some basic characteristics 3.2 1/18/17 1/26/17 2/2/17 2/9/17 5 Finding an exponential function Given two data points, to write an exponential function 3.2 1/26/17 2/2/17 2/9/17 6 Evaluating logarithms To evaluate a logarithmic expression 3.3 2/2/17 2/9/17 2/18/17 2/22/17 7 Transformations of logarithmic functions To describe transformations of the graph of a logarithmic function 3.3 2/2/17 2/9/17 2/18/17 2/22/17 8 Change of Base formula To convert a logarithm of unusual base into a quotient of common or natural logarithms, and to simplify using a calculator 3.4 2/9/17 2/18/17 2/22/17 3/1/17 3/9/17 9 Solving logarithmic equations To solve a logarithmic equation 3.5 2/18/17 2/22/17 3/1/17 3/9/17 3/16/17 10 pH of a solution Given molarity of a solution, to find the pH 3.5 2/22/17 3/1/17 3/9/17 3/16/17 11 Continuously compounded interest To use the A=Pert formula to find the missing information in a continuously compounded interest scenario 3.6 3/1/17 3/9/17 3/16/17 3/23/17 12 Converting angle measures To convert between DMS and degrees 4.1 3/9/17 3/16/17 3/23/17 13 Radian measure To convert between degrees and radians 4.1 3/9/17 3/16/17 3/23/17 3/30/17 14 Trigonometric ratios To find the exact value of one of the six trigonometric ratios, given a right triangle with one side missing 4.2 3/16/17 3/23/17 3/30/17 15 Right triangle trigonometry To find the missing part of a right triangle, using trigonometry, and round to indicated precision 4.2 3/16/17 3/23/17 3/30/17 4/6/17 16 Trigonometric ratios determined by a point Given a point on the coordinate plane, to find all six trigonometric ratios through the corresponding reference triangle 4.3 3/23/17 3/30/17 4/6/17 4/27/17 17 Unit Circle (Level 1) To draw the unit circle, including radian measures and sine and cosine 4.3 3/16/17 3/23/17 3/30/17 4/6/17 4/27/17 18 Unit Circle (Level 2) To draw the unit circle, including radian and degree measures and sine, cosine and tangent 4.3 3/30/17 4/6/17 4/27/17 19 Graphs of sinusoidal functions To write a sinusoidal function whose graph meets given characteristics 4.4 3/30/17 4/6/17 4/27/17 20 Solving a trigonometric equation algebraically Given a trigonometric function, to solve it algebraically 4.5 4/6/17 4/27/17 21 Solving a trigonometric equation graphically Given a trigonometric function, to solve it graphically 4.5 4/6/17 4/27/17 22 Inverse trigonometric functions Given two sides of a right triangle, to identify an acute angle 4.7 4/27/17

First-semester skills