Week/Module  Topic   Readings   Assignments 

1  Sections 1.1
Learning Targets

We will be able to look at the graph of a function and determine whether or not the graph is function using the vertical line test.

We will be able to look at a table of input output values and determine whether or not the values determine a function.

We will be able to look at the graph of a function and determine whether or not the graph is a one to one function using the horizontal line test.

We will be able to look at a table of input output values and determine whether or not the values determine a onetoone function.

We will be able to evaluate a function for a specific value given the function in equation form, tabular form or in graphical form.
Section 1.2
Learning targets are:

We will be able to state the domain and range of functions in both interval notation and set builder notation given a function's equation or graph.

We will be able to work with piecewise defined functions.
Section 1.3
Learning targets are:

We will be able to find the average rate of change of a function give representative table of values or a graph.

We will be able to judge when a function is increasing/decreasing, identify when it is concave up/down, identify inflection points and identify local maximum/minimum points.

Given a table of values, we will be able to determine when a function is concave up/down by examining rates of change.
Section 1.4
Learning targets:
We will be able to build functions from other functions provided a description of the component functions given in English, tabular, graphical and algebraic forms.   Lippman/Rasmussen Sections 1.1 through 1.4   Ungraded: Textbook exercises (See Canvas>Modules>Week 1) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 1)
Discussion Forum Posts (2) (See Canvas>Modules>Week 1 Overview) 

2  Section 1.5
Learning targets:
Section 1.6
· Learning target: We will learn to use properties of inverse functions
Sections 2.1 to 2.3: You will need to demonstrate mastery of these skills/concepts about linear functions.
Section 2.5
· Learning target: We will be able to solve absolute value equations and inequalities.   Lippmann/Rasmussen Sections 1/5, 1.6, 2.12.3 and 2.5   Quiz on last Week's work (See Canvas>Modules>Week 2)
Ungraded: Textbook exercises (See Canvas>Modules>Week 2) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 2)
Discussion Forum Posts (2) (See Canvas>Modules>Week 2 Overview) 

3  New Learning
Section 3.1
Learning target:

We will be able to identify power functions given an equation or a graph.

We will be able to identify the coefficients, terms and degree of power functions

We will be able to describe long run and short run behavior of power functions
Section 3.2
Learning target:

We will be able to create an equation for a quadratic function given a graph or key features.

We will be able to find x intercepts by factoring, using the quadratic formula and graphically
  Lippmann/Rasmussen Sec 3.1 and 3.2   Exam on Week 1 and 2 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 3 Overview) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 3)
Discussion Forum Posts (2) (See Canvas>Modules>Week 3 Overview)


4  Section 3.4
Learning targets:
· We will be able to perform long division and synthetic division of polynomials
· We will be able to apply the Remainder Theorem and the Factor Theorem
Section 3.5
Learning targets:
· We will be able to apply the Rational Roots Theorem
· We will be able to find real zeros of a polynomial analytically and graphically.
Section 3.6
Learning target:
· We will be able to work with Imaginary and Complex numbers along with finding ALL zeros of a polynomial   Lippmann/Rasmussen Sections 3.3 to 3.6   Quiz
Ungraded: Textbook exercises (See Canvas>Modules>Week 4) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 4)
Discussion Forum Posts (2) (See Canvas>Modules>Week 4 Overview) 

5  Section 3.7
Learning target:

We will be able to write the equation of rational function given its graph

We will be able to find vertical and horizontal asymptotes of a rational function given its equation.

We will be able to sketch the graph of a rational function given its equation.
Section 3.8
Learning target:
  Lippmann/Rasmussen Sec 3.7 and 3.8   Quiz on last Week's work (See Canvas>Modules>Week 5)
Ungraded: Textbook exercises (See Canvas>Modules>Week 5) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 5)
Discussion Forum Posts (2) (See Canvas>Modules>Week 5 Overview) 

6  Section 4.1
Learning Target:
· We will recognize exponential growth/decay from equations and graphs
· We will find formulas which model exponential growth and decay.
· We will apply exponential growth/decay to financial models.
Section 4.2
Learning Target:
· We will be able to describe graphs of exponential functions using the language of transformations.
· W will be able to write formulas for transformed exponential functions give a graph of the function.
Section 4.3
Learning Target:
· We will be able to recognize common and natural logarithms.
· We will be able to rewrite exponential and logarithmic equations.
· We will learn how to use the change of base formula to solve exponential equations.   Lippmann/Rasmussen Sections 4.1  4.3   Quiz on Week 5 Work
Ungraded: Textbook exercises (See Canvas>Modules>Week 6) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 6)
Discussion Forum Posts (2) (See Canvas>Modules>Week 6 Overview) 

7  Section 4.4
Learning Target:
· We will be able to rewrite logarithmic equations using the sum, difference and power log rules
· We will be able to solve equations using the log rules.
Section 4.5
Learning Target:
· We will be able to graph logarithmic functions using transformations.
· We will be able to write an equation given the graph of a logarithmic function.
Section 4.6
Learning Target
· We will be able to use exponential and logarithmic equations to model real life situations.   Lippmann/Rasmussen Sections 4.4, 4.5 and 4.6   Quiz on Week 6 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 7) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 7)
Discussion Forum Posts (2) (See Canvas>Modules>Week 7 Overview) 

8  An exam week. No new material to learn.   Review from Week 3  7   Two part Exam. See Week 8 in Canvas. 

9  Section 5.1
Learning Target

We will be able to write equations of circles given information about the circle.

We will be able to use the equation of a circle to gain information about the circle (i.e. points on the circle, the radius).

We will be able to find the intersection(s) of a circle and a line.
Section 5.2
Learning Target

We will be able to convert between DMS and decimal degree notation

We will be able to convert between degree measure and radian measure

We will be able to calculate arc length and area of a sector.

We will be able to apply linear vs angular velocity.
Section 5.3
Learning Target
  Lippmann/Rasmussen Sections 5.1 5.3   No Quiz this week.
Ungraded: Textbook exercises (See Canvas>Modules>Week 9) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 9)
Discussion Forum Posts (2) (See Canvas>Modules>Week 9 Overview) 

10  Section 5.4
Learning Target
Section 5.5
Learning Target
· We will solve application problems using right triangle trigonometry.   Lippmann/Rasmussen Sections 5.4 and 5.5   Quiz on Week 9 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 10) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 10)
Discussion Forum Posts (2) (See Canvas>Modules>Week 10 Overview) 

11  Section 6.1
Learning Target

We will be able to draw, by hand, accurate sketches of transformed sine and cosine functions.

We will be able to write a formula for a graphical or described sinusoidal function.
Section 6.2
Learning Target

We will be able to graph, by hand, sketches of Tangent, Cotangent, Secant and Cosecant functions

We will be able to write the equation of a transformed trigonometric function.
Section 6.3
Learning Target

We will be able to evaluate inverse trigonometric functions using unit circle values and technology.

We will be able to simplify both numerical and algebraic expressions containing inverse trigonometric functions.
  Lippmann/Rasmussen Sections 6.1, 6.2 and 6.3   Quiz on Week 10 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 11) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 11)
Discussion Forum Posts (2) (See Canvas>Modules>Week 11 Overview) 

12  Section 6.4
Learning Target
· We will be able to solve trigonometric equations.
Section 6.5
Learning Targets
We will be able to
 Model with trig equations
Model with sinusoidal functions Solve right triangles for angles in degrees and radians
Section 7.1
Learning Target
· We will be able to solve trigonometric equations requiring trigonometric identities.   Lippmann/Rasmussen Sections 6.4, 6.5, 7.1 and parts of Section 7.2 and 7.3. Make sure to look at my additional instruction in the Week 12 module.   Quiz on Week 11 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 12) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 12)
Discussion Forum Posts (2) (See Canvas>Modules>Week 12 Overview) 

13  Section 8.1
Learning Target
· We will be able to solve nonright triangles to find missing angles and sides
Solving Systems of Equations
Learning Target
· There are two learning targets: We can solve linear systems of equations and solve non linear systems of equations   Lippmann/Rasmussen Sec 8.1
Additional handouts in Canvas>Modules>Week 13 area.   Quiz on Week 12 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 13) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 13)
Discussion Forum Posts (2) (See Canvas>Modules>Week 13 Overview) 

14  Partial Fraction Decomposition
Learning Target
· We will be able to break a rational expression up to a sum or difference of two or more rational expressions.
Working with Sequences and Series
Learning Target:
· We will be able to work with geometric and arithmetic sequences and series.   Handouts in Canvas>Modules>Week 14   Quiz on Week 13 work
Ungraded: Textbook exercises (See Canvas>Modules>Week 14) for what to do
Graded: MyOpenMath Exercises (See Canvas>Modules>Week 14)
Discussion Forum Posts (2) (See Canvas>Modules>Week 14 Overview) 

15  Proof by Mathematical Induction
· We will be able to perform a proof using mathematical induction.   Handouts in Canvas>Modules>Week 15   Discussion Post for Mathematical Induction
Third exam on the rest of the course since the last exam. 
