PRE-CALCULUS HONORS

 

CHAPTER 1 TOPICS

 

 

 

 

TOPIC 1:         Inequalities And Intervals:  How to write an inequality, change between interval

                                    notation and inequalities, how to graph on a number line

                        Sec. 1.1  page 11:  #33, 34, 41-46, 47-52, 53, 54, 67-70

 

TOPIC 2:         Integral Exponents – positive, negative, zero

                        7 laws of exponents, p. 14, 15

                        Sec. 1.2 page 21: #9-12, 27-44

 

TOPIC 3:         Radicals and nth roots

                        5 properties p. 18

                        Sec. 1.2 page 21: #13-16

 

TOPIC 4:         Rational Exponents

                        Rule p. 19

                        Sec. 1.2 page 22 #45-52, 53-70

 

TOPIC 5:         How to solve absolute value inequalities

                        4 properties page 81

                        Sec. 1.7  page 85:  #63-76, 77-80, 81-86

                

                        http://www.ltcconline.net/greenl/java/BasicAlgebra/AbsoluteValues/AbsoluteValues.html

 

                        http://www.sosmath.com/algebra/inequalities/ineq03/ineq03.html

 

TOPIC 6:         Graphing an equation in a window

                        Sec. 1.9 page 109 #1-6, 7-18

 

TOPIC 7:         Solving an equation graphically

                        Sec. 1.9  page 109  #37-44

 

TOPIC 8:         Finding point of intersection of 2 equations

                        Sec. 1.9 page 109 #23-26

 

TOPIC 9:         Writing the equation of a line from: the graph, a point and the slope, 2 points,

                                    the slope and the y-intercept, parallel to a line, perpendicular to a line

                        Sec. 1.10 page 120  #9, 10, 11-14, 15-36, 41-52

 

TOPIC 10:       Find slope and y-intercept and graph a line

                        Sec. 1.10  page 121 #41-52

                        http://www.ltcconline.net/greenl/java/BasicAlgebra/LineGraph/LineGraph.htm

 

TOPIC 11:       Direct variation, rule p. 124

                        Inverse variation, rule p, 125

                        Joint variation rule p. 126

                        Sec. 1.11, page 127 #1-22

 

 

 

PRE-CALCULUS HONORS TOPICS

SEC. 2.1

 

 

Topic 1:            What is a function?  By graph, chart, ordered pairs, equation

 

                        Worksheet 2A #1-12,  2B.1 #1-12, 25-46, 2B

 

                       Definition of a function: 

 

                       http://id.mind.net/~zona/mmts/functionInstitute/definitionOfFunction/definitionOfFunction.html

Topic 2:            Write expression for function

 

                        Sec. 2.1 #1-4

 

Topic 3:            Evaluate a function at a point.

 

                        Sec. 2.1 # 13-20; 25-28

                        Worksheet 2C #1-22

 

Topic 4:            Evaluate a piece-wise function at a point

 

                        Sec. 2.1 #21-24

                        Worksheet 2C #43,44

 

Topic 5:            Find the difference quotient for a function

 

                        Sec. 2.1 #29-36

 

Topic 6:            Find the domain of a function

 

                        Sec. 2.1 #37-58

 

                        http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/DomainEquations/DomainEquations.html

 

Topic 7:            Evaluate a function at a point in word problems

 

                        Sec.2.1 #59-72

 

 

PRE-CALCULUS SEC. 2.2 TOPICS

 

 

Topic 1:            Graphs of functions – Vertical line test

 

                        Worksheet 2B

                        Sec. 2.2 # 55, 56

http://www.shodor.org/interactivate/activities/VerticalLineTest/?version=1.6.0_02&browser=MSIE&vendor=Sun_Microsystems_Inc.

 

Topic 2:            Graphs of 14 basic functions:y= x, x², x³, 1/x, , sin(x), cos(x), |x|,b,

                        e^x, ln(x), , 1/x², [x],  domain, range, zeros

 

Topic 3:            Find values of a function from a graph

 

                        Sec. 2.2 #23-25

 

Topic 4:            Find domain and range from a graph

 

                        Sec. 2.2 # 27-36, 57-60

                        Worksheet 2C #41, 42

 

                        http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/DomainRangeGraph/DomainRangeGraph.html

 

Topic 5:            Sketch graph of piece-wise functions

 

                        Sec. 2.2 #37-50,51-54

 

Topic 6:            Write equation of piece-wise functions

 

                        Sec. 2.2 # 53,54

 

Topic 7:            Determine if an equation defines a function

 

                        Sec. 2.2 #61-72

 

Topic 8:            Applications

 

                        Sec. 2.2 #83,84

 

 Review Questions:

 

 http://www.thatquiz.org/tq/previewtest?RMXP1478

 

Transformations of functions:

 

http://mathplotter.lawrenceville.org/mathplotter/mathPage/index.htm#