Pre-Calculus
Session Date
Lesson Topic
Mathematical Models
Lesson Outline
We will create mathematical models from given situations.
Assignment
Use models where appropriate.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We created functions to model situations.
Session Date
Lesson Topic
Transformations
Lesson Outline
We will do problems of matching a graph to an equation using transformation. We will also do problems involving graphing an equation using transformations.
Assignment
Identify transformations given an equation and a parent function.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did a variety of problems using both approaches.
Session Date
Lesson Topic
Transformations of Functions
Lesson Outline
We will look at three transformations: reflections, translations, and dilations. We will do examples using lines, parabolas, and circles without using technology.
Assignment
Be able to identify transformations with equations.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did several examples of each type of transformation.
Session Date
Lesson Topic
Piecewise defined functions.
Lesson Outline
We will do some graphs of piecewise-defined functions using paper and pencil methods.
Assignment
Graph functions without technology.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed a variety of graphs with an emphasis on end point designations.
Session Date
Lesson Topic
Functions
Lesson Outline
We will observe the graphs of nine different parent functions that will be used to discuss piece-wise defined functions.
Assignment
Be able to match the graph to the function.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
All went well, we are ready to explore piece-wise functions and then the family of functions related to each parent function.
Session Date
Lesson Topic
Properties of Functions
Lesson Outline
We will look at examples of increasing and decreasing, concavity, and asymptotes in the graphs of functions.
Assignment
Identify intervals of increasing or decreasing and concave up or concave down.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did sketches of a variety of graphs that have the properties that we studied today.
Session Date
Lesson Topic
Functions
Lesson Outline
We will study the properties of functions from several different approaches. The properties include odd or even, increasing, decreasing, maxima, minima, and concavity.
Assignment
Identify properties given a graph.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We looked at the properties verbally and numerically. We also discussed mathematical modeling.
Session Date
Lesson Topic
Functions
Lesson Outline
We will define the following terms: function, relation, domain, range, mapping, and difference quotient. We will do examples of each defined term.
Assignment
Know the meaning of these terms.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed examples related to each of these terms.
Session Date
Lesson Topic
Lines
Lesson Outline
We will do problems related to the use of equations of lines. Some will ask for the equation from given information, some will ask to change the form of the equation.
Assignment
Be able to change the form and find the equation.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We successfully did a wide variety of problems.
Session Date
Lesson Topic
Lines
Lesson Outline
We will identify four forms of the equation of a line. Each has its own uses and applications that fit various given facts. We will also change from one form to another.
Assignment
Know all 4 forms: point-slope, slope-intercept, intercept-intercept, and standard foirm.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did examples using all forms of a linear equation by starting with different sets of given information.