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
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
Topic 2: Graphs of 14 basic functions:y= x, x2, x3, 1/x,
ex, ln(x),
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