Assignments
College Algebra
 Instructor
 Kevin Liddiard
 Term
 20172018 School Year
 Department
 Mathematics
 Description

This is an advanced mathematics course that is offered for joint high school/college credit through Columbia Gorge Community College. The course corresponds to College Algebra (MTH 111). Topics to be studied include functions and relations of one and two variables with emphasis on polynomial and rational functions; exponential and logarithmic functions and complex numbers.
Files
Upcoming Assignments
No upcoming assignments.
Past Assignments
Due:
Due:
Final Review
Review for final old quiz and tests, comp notebook etc.
one side of 3"x5" notecard can be used on final if NOT taking class for CGCC credit.
Test is on Tuesday for period 5, Wednesday for period 4.
Due:
Curve Fitting with Data
Entry: How can you tell if a model needs a linear, exponential or power function?
Eval: Section 9.4 work
TASK: Use Excel to curvefit, and determine the best fit for a given set of data.
G.P.9.7 #4,6,14
I.P. 9.7 #5,7,13
Due:
Rational Functions short run
Entry: What does discontinuous mean?
Eval: Section 9.4 problems
Task: define vertical asymptotes functions, divide by zero errors.
G.P. 9.5 #2,4,12
I.P. 9.5 # 1,3,11,16
Due:
Rational Functions
Entry: What is a rational number? a rational function?
TASK: define rational functions, examine asymptotes and longrun behavior
G.P. 9.4 #5,12,14
I.P: 9.4 # 1,7,15,16
Due:
Polynomials  short run
Eval: section 9.2 problems
Task: Look at zeros, short run behavior of polynomials
G.P. 9.3 #2,8,12,14
I.P. 9.3 # 1,5,11,13,19
Due:
Polynomials
Entry: Sketch a cubic and quartic polynomial.
Eval: section 9.1 problems
TAsk: Review polynomials, discuss longrun behavior
G.P. 9.2 #2,4,10,20,22?
I.P. 9.2 #1,5,9,21,27
Due:
Ch 8 Assessment
Entry: 510 minutes review with table groups.
Task: Ch 8 test.
Due:
Chapter 8 Review
Eval: 8.3 problems
Task: review for Quiz on Ch 8 functions
I.P. Ch 8 Review #1,3,5,7ad,8,16,35,36,38,40
Due:
Power Functions
Entry: Define direct and inverse relationships.
Task: Define and model with power functions
G.P. 9.1 #2,4,8,10,12,16,30?
I.P. 9.1 #1,3,7,9,11,17,31
Due:
Combinations of Functions
Entry: r(x) is revenue, c(x) is cost Why would you find p(x) = r(x)  c(x)?
Eval: 8.2 problems
Task: Combine functions to create new functions NOTES
G.P. 8.3 #2,4,8,14,31
I.P. 8.3 #1,3,5,7,15,21
Due:
Inverses
Entry: f(2) = 5, f1(3)= 0, What other values do you know for f(x) and f1(x)?
Eval: 8.1 problems
Task: Find inverse formulas or values from f(x)
G.P 8.2 #6,10,22,32
I.P. 8.2 #7,9,16,23,29
Due:
Composition of Functions
Eval: CH 5 Test.
Task: Define the composition of functions. notes.
G.P. 8.1 #2,4,6,18,28,29
I.P. 8.1 #1,5,11,19,23,59
Due:
Transformation Assessment
Entry: Questions?
Task: Ch 5 test on transformations.
Due:
Transformation Review
Eval: 5.5 #3,5,13,17,25
Task: Chapter 5 review # 3,5,7,9,13,15,19,39,47
Test on Tuesday
Due:
Quadratic Transforms
Entry: Write the vertex form of a quadratic function.
Task. Use tranforms on the family of quadratics.
G.P. 5.5 #4,7,12,26
Exit:
I.P. 5.5 #3,5,13,17,25
Due:
Horizontal Stretch and Compression
Task: transform functions with horizontal stretches and compressionsnotes
G.P. 5.4 #2,8,16
Exit: #20
I.P. 5.5 #1,9,19,21
Due:
Function Transformation Quiz
Entry: Check 5.3 #5,9,11
Task: Quiz on function Transforms No Calculators!
Due:
Vertical Stretch and Compression.
Entry: Given this sketch of f(x), draw f(x) and f(x) on the same axes.
Eval: Problems from 5.2
Task: Examine outside vertical stretches on functions expressed in different formats.
G.P. 4,6,8,10
Exit: 12
I.P. 5.3 #5,9,11,
Due:
Reflective Symmetry
Entry: Graph f(x) = 2x, g(x) = 2x, h(x) = 2x on the same set of axes. How are g(x) and h(X) related to f(x)?
Eval: Problems from section 5.1, Ch 4 Test
Task: Describe odd and even functions via graphs and equations.
G.P. 5.2 # 2,4,8,18,26
I.P. 5.2 #1,5,7,11,19,21,27,
Due:
Vertical and Horizontal shifts
Entry: What would f(X) +k do the original function f(x)?
Eval:
TASK: Define horizontal and vertical transformations with h, k.
G.P. 5.1 #2,12,34
I.P.: 5.1 #1,17,19,21,31,33
Due:
Log Test
Questions?
Test on Logs
Due:
Logarithmic Review
Entry: When will $125 at 3.9% compounded monthly reach $150?
Eval: 4.4 #1,3,9,13
Task: Review problems 1,5,7,9,11,17,19,23,29,37
I.P. Study old quiz.
Test Thursday.
Due:
Log Scales
Entry: Find the ion concentration of Baking Soda with a pH of 8.3
Eval: 4.3 Problems
Task. Graphing a wide spread of values.
G.P. Demo 2,4,10,14
I.P 4.4 #1,3,9,13
Due:
Logarithmic Models
Entry: What does the graph of an exponential and a logarithmic function look like? Sketch both on a the same set of axes.
Eval: Quiz on Logs
G.P Log graphs, pH, Earthquakes, and Sound Intensity.
demo #2,6,16,20,22,34
I.P. 4.3 # 1, 5,13,17,21,23,33,35
Note we will finish this on Monda.y.
Due:
Logarithms Quiz
Eval: problems from 4.2
Task: Quiz on Logs and properties.
Finish HW from section 4.2, read section 4.3
Due:
Logarithms and Exponential Modeling: 2
Eval: 4.2 Problems from yesterday.
Task: converting between annual and continuous rates.
G.P. 4.2 #8,14,20,32
Exit: 22
I.P. 4.2 #9,13,21,37,41
Finish next period.
Due:
Logarithms and Exponential Modeling: 1
Entry: Expand log(x2y/z3), Contract log 2 + log x  2 log y.
Eval: 4.1 problems from last lesson
Task: Doubling time, Half life.
G.P. 4,6,24,26,28
Exit: 4.2 #2
I.P. 4.2 #3,5,23,27,29.
Due:
Logarithms and their Properties
Entry: find log 100, log2 8, ln e w/o a calculator.
Eval: 4.1 #19 odd, 21,25
Task: Write the properties of logarithms (exponents)
G.P. 4.1 #12,18,26,32,36
I.P. 4.1 #13,15,33,37 and expand log(x2y/z4) contract log x +2log y  3log zDue:
Logarithms and their Properties
Entry: Solve 10x = 1000, 2x = 1/4, 9x = 3 w/o a calculator.
Task: Define log as as exponents, change forms.
G.P. 4.1 #2,6,8,10,20
I.P. 4.1 #1,3,7,9,21
Due:
Exponential Project:
Entry: Where might you see exponential growth, besides a bank account?
Eval: Chapter 3 test.
Task: Model with exponentials using project handout, due Wednesday 10/4 at the end of the period.
We will be in the library this week.
Due:
Exponential Assessment
Eval: Review problems from ch 3
Task: Exponential assessment.
Due:
Exponential Review: Day 1
Entry: Describe how to see which investment option will provide the highest return. Use terms like rate, frequency of interest paid, length of investment, etc.
Eval: 3.4 #1,9,11,19,25 ,29
Task: Review for test. Use quiz and problems #1,2,3,5,8,12,13,25,39,45 from the chapter review.
Discuss " Check your Understanding" statements #132 on page 137 if you need more practice.
Finish next class period.
Due:
The natural log, base e.
Entry: Do you recall interest formulas form Alg 2? Compounding monthly, daily, continuously?
G.P. Read section 3.4 notes on e,continous growth, compounding interest.
3.4 #8,12,18,24,32
I.P 3.4 #1,9,11,19, 25 ,29
Due:
Exponential Check
Eval: 3.3 #19odd, 13,15,33
Task: Quiz on Exponentials
Due:
Exponential Graphs
Entry: What do graphs of exponential growth and decay look like?
Task: Fitting data with Excel, take notes.
G.P. 3.3 #2,4,14,16
Exit: #18
I.P. 3.3 #19 odd 13,15,33
Due:
Linear vs Exponential
Entry: Is this a linear or exponential? Construct a table of the other.
Eval: 3.1 assignment from Monday. Ch 2 test.
Task: Model rabbits with linear and exponential if t = 3, r = 120 and t=6, r= 300.
G.P 3.2 # 10,12,16
Exit #1
I.P.: 3.2 #3,7,9,11,15,31
Due:
Exponential Introduction
Entry: Is increasing at a constant rate the same as increasing by a constant amount? Explain.
G.P. 3.1 #4,6,8,10,12
I.P. 3.1 #3,5,7,13,15,23
Due:
Function Assessment
Eval: Questions?
Task: Chapter 2 Test
Due:
Review Functions
Entry: What don't I know?
Eval: Section 2.6 problems
Task:Review Problems #1,5,7,13,17,27,33, Review quiz, Check Understanding #133
I.P. Finish Check Understanding Problems
We will finish this on tomorrow.
Due:
Review Quadratics
Entry: What do you remember from Quadratics?
Eval: 2.5 Problems
G.P. #4,10b,12,16
Exit: #18
I.P. 2.6 #1,9,13,15,17,21
Due:
Concavity
Entry: Define concave and convex
Eval: Section 2.4 problems
Task: Define concave up and down mathematically.
G.P. 2.5 #2,4,6,8,12,16
Exit: #18
I.P. 2.5 #1,3,7,11,15,17
Due:
Entry: Using previous work find a function that relates gallons of paint ot area covered.
Eval: Section 2.3 problems
Task: Define f(x) and inverse
G.P. #2,4,10,20.
I.P. 2.4 #1,3,9,21
Due:
Entry: Tell your neighbor one item on test.
EVAL: Questions?
Task: QUIZ ON 1.1,2.1,2.2
G.P :2.3 #2,6,12,14
I.P: 2.3 #1,5,9,15
Due:
Entry: f(x) = x2, x≤ 2;x +1 x> 2. Find f(0) f(3) f(2).
Eval: 2.2 problems
Task: Modeling with pieces section 2.3
G.P. Prepare for quiz
Exit: None
I.P.:Study for quiz!
Due:
Entry: Find a way to remember Domain → x = inputs, Range → y = outputs.
Eval: 2.1 # 7,11,23,27
Task: Read 2.2 Demo Notes on 4,10,16, 33 (need online grapher, see links page, or TI)
I.P. 2.2. #3,11,23,25,29
Due:
Entry: f(x) = x2  4 Find f(x) = 5, f(5), f(x2)
Eval: Section 1.1 # 1,3,5,19
Task: Section 2.1 and examples 2,4,6,12,20
Exit: #19
I.P.: Section 2.1 #7,11,23,27
Due:
Entry: What do you think a "function" is?
Eval: Do the Drive Solutions explanations, railroad rates.
Task: Read Section 1.1, work #16,18 together.
Exit: Problem #13
I.P.: Section 1.1 #1,3,5,19.
Due:
Read over syllabus available to the right.
Do the Puzzlers Presentation.
Complete the "Railroad Rates" problem for tomorrow.