PreCalculus
Welcome to PreCalculus. 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 StandardsBased 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 oddnumbered 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.
PreCalculus Skills
The skills listed below are based on the Common Core State Standards.
Secondsemester 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=Pe^{rt} 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


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  
Firstsemester skills
Number  Name  Goal  Textbook section  Tested in class  Notes  
1  Simplifying expressions involving powers  To simplify expressions involving powers, meaning (1) each factor appears only once, (2) all exponents are positive, and (3) all exponents and constants are combined as much as possible.  P.1  8/25 9/1 9/8 
These expressions may or may not include fraction bars.  
2  Using scientific notation  To convert between standard and scientific notation  P.1  9/1 9/8 9/15 

3  Distance Formula  To find the distance between two points on the coordinate plane  P.2  9/1 9/8 9/15 9/22 
Use a scientific calculator on this test. Your final answer may be an approximation.  
4  Solving linear equations  To solve linear equations.  P.3  9/1 9/8 9/15 9/22 
These equations have one variable of degree 1.  
5  Solving quadratic equations by factoring  To solve quadratic equations by factoring.  P.5  9/8 9/15 9/22 9/29 
These equations have one variable of degree 2.  
6  Solving quadratic equations by extracting square roots  To solve quadratic equations by extracting square roots.  P.5  9/8 9/15 9/22 9/29 
These equations have one variable of degree 2.  
7  Solving equations by graphing  To solve equations by graphing  P.5  9/15 9/22 9/29 10/6 
These equations have one variable of degree 2.  
8  Solving quadratic equations using the Quadratic Formula  To solve quadratic equations using the Quadratic Formula.  P.5  9/15 9/22 9/29 10/6 
These equations have one variable of degree 2.  
9  Function characteristics  To model data with a linear function  1.2  9/22 9/29 10/6 10/13 

10  Twelve basic functions  To identify from a graph the following characteristics of a given function: name; formula; domain; range; boundedness; intercepts; intervals where the function is increasing, decreasing, positive, or negative; local extrema; symmetries; end behavior; and periodicity.  1.3  9/29 10/6 10/13 10/20 10/27 
This is the single most important skill of the semester.  
11  Function composition  To compose two functions and report on the resulting domain  1.4  10/6 10/13 10/20 10/27 11/3 

12  Function inversion  To write the inverse of a function and determine whether or not it is a function  1.5  10/13 10/20 10/27 11/3 

13  Confirming inverse functions  To confirm that two given functions are inverses of each other  1.5  10/20 10/27 11/3 

14  Tranforming functions  To write graphical transformations of given functions  1.6  10/27 11/3 

15  Solving for a variable  To solve a formula for a given variable  1.7  10/27 11/3 

16  Completing the square  To rewrite a standardform quadratic function into vertex form, by completing the square  2.1  11/3  
17  Line of best fit  To plot given points, and use a calculator to perform linear regression  
18  Parent functions  To identify the transformation in a graph  
19  Polynomial long division  To perform polynomial long division  
20  
21  Exponential modeling  To model a realworld situation using an exponential function, and to use given values to find a missing value  3.2  
22  Exponential functions  To graph a given exponential function  3.1, 3.2  
23  Logistic functions  To use logistic functions  3.1, 3.2  
24  Function composition  To compose functions  1.4  
25  Inverse functions  To find the inverse of a function  1.5  
26  Logarithmic functions  To graph a given logarithmic function  3.3  
27  Evaluating logarithms  To evaluate a logarithmic expression  3.3  
Logarithm operations  To condense a logarithmic expression into a single logarithm  3.4  
Exponential equations  To solve an exponential equation using algebra  3.5  
Logarithmic equations  To solve a logarithmic equation using algebra  
ChangeofBase Formula  To use the ChangeofBase formula to convert a logarithmic expression to a convenient base  3.4  
Graphical transformations  To find the transformations on a graph of adding to, subtracting from, or multiplying by a given value  1.6  
2832  TBA  