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Chapter 1
Syllabus -
Preparation
for Calculus |
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Overview:
Calculus is the interplay between geometric,
algebraic and analytic information to predict and to explain the observed
behaviors of a function. You need to be able to represent functions
verbally, numerically, visually, and algebraically. Unless otherwise
specified, express all of your answers as exact answers (preferred) or
answers rounded to 3 or more decimal places.
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Wednesday, August 26
1.1 Graphs and Models
- Sketch the graph of an equation
- Find the intercepts of a graph
- Test a graph for symmetry with respect to an axis
and the origin
- Find the points of intersection of two graphs
- Interpret mathematical models for real-life data
Group Activity: Every Graph has a story...
Wednesday
Homework: Read
and take notes on section 1.1
(p. 1 – 7) and Do p. 8-9 # choose 3 from (#5, 8, 9, 12, 13),
choose 3 from (19, 24, 27-38), and do all of these: 48, 50, 54,
55, 57, 61, 64, 70, 81 - 84
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Thursday, August 27
Section 1.2
Objectives: You will be able to
- Find the slope of a line passing through two
points.
- Write the equation of a line given a point and the
slope.
- Sketch the graph of a linear equation.
- Interpret slope as a ratio or as a rate in a
real-life application.
- Define slope.
- Plot points and perform regressions on the TI-89
Calculator
Homework:
Read and take notes on section 1.2 (p. 10 - 15) and Do p. 9 # 73, 77, and
79 and P. 16-18 #4-7, 11,
19, 71, 78, 79, 85
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Friday August
28
Section 1.2 continued
Objectives: You will be able to
- Write equations of lines that are parallel or
perpendicular to a given line.
- Learn how to distinguish perpendicular and
parallel lines graphed on a calculator screen.
- Define parallel and perpendicular.
Homework:
p. 16-18 #29, 37, 43-45, 57, 59, 60, 81, 97, 98
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Monday, August
31
1.3 Functions and Their Graphs
Objectives: You will be able to
- Use function notation to represent and
evaluate a function.
- Find the domain and range of a function.
- Sketch the graph of a function.
- Use the vertical line test to determine if a
graph represents a function.
- Classify functions.
- Define function, domain, range, polynomial
function, rational function, algebraic function, transcendental
function.
- Combine two or more functions.
Homework: Read and take notes on Section
1.3 and DO p. 27-30 #1, 4, 6, 7, 11, 13, 17, 27, 29, 38, 41-43, 61, 65,
67, 81-84
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Tuesday
September 1
Section 1.3 continued
Objectives: You will be able to
- Identify and perform different types of
transformations of functions.
- Determine if functions are one-to-one, onto,
odd, or even.
- Define one-to-one, onto, even, and odd
Homework: p. 27-30 #19, 23, 40, 49-54,
57-59, 69, 70, 75, 76, 86, 97-100
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Thursday,
September 3
Section 1.4 continued
Objectives: You will be able to:
- Fit a trigonometric model to a real-life data
set.
Homework: p. 34-36 #1-4, 16, 17, 18
Helpful Website:
Practice
with Data - try some of these for practice!
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Friday,
September 4
Quiz over 1.1 - 1.2
Activity:
Guess My Rule
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Monday, September 7- Labor Day – No school |
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Tuesday, September 8-
Quiz over 1.1 - 1.3
Activity: Guess My Rule
Homework: Guess My Rule Worksheet due
Wednesday, September 10
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Wednesday,
September 9
Mathematical Modeling PROJECT
links to data for Math Modeling Project
How to Use Excel, Fathom, and Graphmatica
Math Modeling Example PowerPoint: in
PowerPoint or html format
- Use steps of math modeling to solve real world
problems.
- Find and test a model. – Begin working on
Modeling Project! (Due Monday, September 15)
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Thursday,
September 10
Quiz over 1.1 - 1.4
due Thurs., 9/24
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Friday, September 11
Lab time!
Homework: Read and take notes on
section 1.5 and DO Homework: p. 44-48 #1, 6, 8, 10, 11
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Monday,
September 14
1.5 Inverse Functions
- Verify that one function is the inverse
function of another function.
- Determine whether a function has an inverse
function.
- Find inverses numerically, graphically, and
symbolically.
- Develop properties of the six inverse
trigonometric functions.
Homework: Read and take notes on section
1.5 and DO Homework: p. 44-48 #16, 20, 25, 29, 32,
37-39, 43, 56, 62, 142
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Tuesday-Wed,
September 15,16 - Lab Time(Tues.)
Section 1.5 continued
Objectives: You will be able to:
- Develop properties of the six inverse
trigonometric functions.
- Use right triangles to evaluate expressions
involving inverse trigonometric functions.
Technology lesson: Inverse trigonometric functions
on the TI-89
Homework: p. 44-48 #15, 24, 35, 47, 55, 56,
63, 69, 70, 73, 89, 92, 111, 112, 121, 123, 127, 137
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Thursday,
September 17
1.6 Exponential and Logarithmic Functions
- Develop and use properties of exponential
functions.
- Understand the definition of the number e.
- Understand the definition of the natural
logarithmic function.
- Develop and use properties of the natural
logarithmic function.
Group activity: Bacterial growth
Homework: Read and take notes on section
1.6 and DO p. 54-56 #1, 3, 6, 11, 12, 18, 20, 24, 25, 31-34
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Friday, September 18
Objectives: You will be able to:
- Understand the definition of the natural
logarithmic function.
- Develop and use properties of the natural
logarithmic function.
Homework: p. 54-56 #7, 8, 15, 35-38, 41, 49,
52, 57, 60, 65, 68, 73, 76, 83 &
TakeHomeTest (due Wed.)
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Monday,
September 21
Review
Homework: Take Home Test due
WEDNESDAY, September 23
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Tuesday,
September 22
Review
Homework: Continue working on
Take
Home Test – due TOMORROW!
Online
practice for the chapter exam is found at:
http://college.hmco.com/cgi-bin/SaCGI.cgi/ace1app.cgi?FNC=AcePresent__Apresent_html___mathematics_larson_calculus_early_4e_01
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Wednesday,
September 23 |
Homework:
Hand in Homework due tomorrow (September 24)
p. 59 #3, 5, 6, 7
Modeling Project Due on
Thursday |
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