Lesson Plans: John Kriegl

10-6-08

AP Calculus

Pre-Calculus

Geometry

Monday

 

 

 

 

 

2.4 Rates of Change and Tangent Lines

Objective: be able to apply directly the definition of the slope of a curve in order to calculate slopes.  Be able to find the equations of the tangent line and normal line to a curve at a given point.

Pg 87, #1-13odds

1.2    Functions and Their Properties

Objectives: be able to represent functions numerically, algebraically, and graphically, determine the domain and range for functions, and analyze function characteristics such as extreme values, symmetry, asymptotes and end behavior. 

Pg 99, #47-69 odds

2-1C The Rule of Logic

Objective: to use given information and rules of logic to reach valid conclusions.

Pg 101, #1-14

Tuesday

 

 

 

 

 

2.4 Rates of Change and Tangent Lines

Objective: be able to find the equations of the tangent line and normal line to a curve at a given point.  Be able to find the average rate of change of a function.

Pg 88, 15-33 odds

1.3 Twelve Basic Functions

Objective: be able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to create new functions.

Pg 110, #1-27odds

2-1D Making Connections

Objective: to use conditional statements and rules of logic to make a persuasive argument.

Pg 105, #1-12

Wednesday

 

 

 

 

 

Test Chapter 2

1.3 Twelve Basic Functions

Objective: be able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions and combine the twelve basic functions in various ways to create new functions.

Pg 110, #29-57 odds

Quiz 2-1

Thursday

 

 

 

 

 

3.1 Derivative of a Function

Objective: be able to calculate slopes and derivatives using the definition of the derivative.  Be able to graph f from f’, and graph f’ from the graph of f, and graph the derivative of a function given numerically with data.

Pg 101, #1-10 all

Review for Quiz 1.1-1.3

2-2A Undefined Terms and Definitions

Objective: to learn which geometric terms are undefined, and to begin writing definitions.

Pg 111, #1-13

 

Friday

 

 

 

 

3.1 Derivative of a Function

Objective: be able to calculate slopes and derivatives using the definition of the derivative.  Be able to graph f from f’, and graph f’ from the graph of f, and graph the derivative of a function given numerically with data.

Pg 102, #11-17

Quiz 1.1-1.3

2-2 Postulates

Objective: to discover and use basic postulates about geometric figures.

Pg 117, #1-26

 

For Details about course content expectations through the State of Michigan see:

 

http://www.michigan.gov/mde/0,1607,7-140-38924_41644_42668---,00.html

 

Codes used in course standards alignment:

            L = Quantitative Literacy and Logic

            A = Algebra and Functions

            G = Geometry and Trigonometry

            S = Statistics and Probability

 

Please see the Michigan Education Curriculum site for a full interpretation and presentation of each strand:

 

Geometry:       http://www.michigan.gov/documents/mde/Geometry_216636_7.pdf

 

Pre-Calc:         http://www.michigan.gov/documents/PreCalc_167750_7.pdf