Seattle Central Community College

 

Winter Quarter 2010

 

1296 MATH098_07

Intermediate Algebra

 

Monday—Thursday

1:00—2:05 PM

Room BE4156

 

Professor: Andrea Levy, Ed.D.

Office Phone: 206-587-4082

Office: SAM 214

Mail Stop: 2SAM110

Email: alevy@sccd.ctc.edu

Website: http://seattlecentral.edu/faculty/alevy

 

Office Drop-in Hours: Daily 10PM—10:50PM or by appointment

 

Twitter:  http://twitter.com/scccmath
Facebook:  http://tinyurl.com/scccmathfacebook

 

 

 

 

Text and Required Supplies

Required:

TEXT: Kaseberg, Intermediate Algebra: Everyday Explorations, 4th edition.

Available at the SCCC bookstore

 

Graphing Calculator (TI-83/84)

You can lease a graphing calculator during the first week of classes: go to the graphing calculator link above, print and fill out Part A of the form. Then go to the college cashier to pay the $20 fee. Bring the form and your receipt to class.

 

WAMAP: Online Homework Access

You will be registered automatically as a student in this class.

 Please use your ‘first name_ last name’ as your student name.

Your pass code is your student number with no dashes.

 

Course Goals

 

Imagination is more important than knowledge. Albert Einstein

 

Einstein’s quote implies that although mathematical knowledge is important, it is imagination that allows you to utilize knowledge to attain personal goals. 

 

The course goals are to:

(1) stimulate your imagination

(2) enhance your understanding of mathematics at a conceptual level

(3) demonstrate and communicate your knowledge to others

(4) improve your use of self-assessment methods

(5) encourage you to think critically

(6) develop effective study and group skills

(7) apply quantitative reasoning to real world contexts

(8) master the use of a graphing calculator as a tool for quantitative analysis

 

The structure of this course is designed to address these goals. You will be asked periodically throughout  the quarter to provide input as to how well the course is meeting these goals.

 

Course Objectives

The course objectives provide a foundation to develop mathematical knowledge and intellectual imagination.  This is accomplished through the study of mathematics concepts at a level that will enable you to think critically, demonstrate and communicate your knowledge to others, and apply those skills to real world contexts.

 

Listed here are the skills you should be able to demonstrate upon completion of this course:

  1. Linear Functions: determine the equation of a line and line of best fit, explain rate of change and intercepts in context, graph the function, express the solution sets in appropriate notation and explain the solutions in context
  2. Quadratic Functions: solve the functions algebraically and graphically, explain the significance of the solutions, determine max/min points and explain their significance in context
  3. Exponential & Logarithmic Functions: graph exponential functions and interpret them in context, convert between exponential and logarithmic equations and explain their relationship, and solve exponential and logarithmic functions applied to real world applications
  4. Mathematical Modeling: (using graphing calculator) find regression graphs based on data provided in a problem and use that model to make predictions
  5. Systems of Equations: solve systems of equations and explain the significance of the solutions
  6. Evaluate functions: determine domain and range, use vertical line test, interpret the graph of functions
  7. Radical Expressions: Simplify radical expressions, rationalize denominators, and convert to exponential form
  8. Rational Equations: Simplify complex fractions and rational expressions, solve rational equations, recognize extraneous roots, explain their significance in context
  9. Graphing: Determine horizontal and vertical asymptotes, explain their significance in context

 

Course Expectations

As a student in this course, you are expected to attend all class sessions, arrive on-time and prepared for the daily lesson. Being prepared means that homework assignments are complete and you have all the necessary supplies for full participation in the daily coursework, such as textbook, pencil, notebook paper, graph paper, straight-edge or ruler, and graphing calculator.

 

Assessment

Tests

Much of the learning in this class is done through group work, therefore group tests are used to assess your understanding. This does NOT mean that you will get a group grade. Test problems are complex and require an explanation of your reasoning. The testing format provides an opportunity to discuss your solution process with group members prior to writing solution processes in your own words. A correct answer to a problem is sufficient for a passing grade (which is a 75% or a 2.0); however, if you wish to earn a higher grade, you must clearly communicate your thinking and demonstrate your solution process. The group work is designed to hone your communication skills (this is a course goal). The individual write-up is how you provide evidence of your understanding for a formal assessment grade. This process will be explained in more depth and your questions will be answered prior to the first formal test.

 

Small Group/Whole Class Activities

Communication is an important aspect of this class, therefore you are responsible for providing evidence that you understand the material presented. One way to do this is to fully participate in small group and whole class activities. The small group format provides support to: (1) ease math anxiety, (2) learn to work collaboratively, (3) develop problem solving and critical thinking skills, and (4) clearly communicate your solution process to convince others that your answer is correct. Also, you will be expected to summarize and communicate your group’s findings to the whole class. The small group you will be working with to do class work will be the same people in your test group; therefore it is important to contribute your thinking, questions, and insights to the collective process.  As a productive group member it is your responsibility to listen carefully, provide positive feedback, ask clarifying questions rather than depend upon assumptions, and share your thinking, concerns, and critique of solution processes with one another.   

 

Homework

Completing and handing in homework on time is essential as it prepares you to be a full participant in the class activities.

 

Daily Assignment (Do NOT hand in):

-         Read through the assigned section

-         Work through but do not hand in the Warm-up exercises and the section examples

-         Try some of the odd numbered problems at the end of the section. Make sure to try out a couple from each different part of the exercise section. Do as many as are necessary to feel comfortable with the procedures. Compare your answers with those listed at the back of the book to check your understanding. If you are struggling, ask questions in class and/or get help at the tutoring center.  

 

Hand-in Reading Response and Math Questions:

-         When you think you understand the material in the section, neatly and clearly answer each of the reading response questions listed on the course calendar, providing evidence of what you understand and can do.

-         With the reading response questions, include questions from the WAMAP homework that you need clarified.

-         Do the assigned daily problems to share with your group and the class. I am not expecting that you will answer the questions completely. What I do expect is that you have spent a bit of time to set up the problems (about 5 min. for each problem--that is only 15 minutes each night). 

 

On-line assignment: Go to WAMAP: Online Homework Access, log in using your ‘first name_last name’ as your student name and your pass code is your student number (with NO dashes). Find the homework section you just studied. Open and complete the problems for the section. You can print the problems, work on them off-line (get help at the math lab, etc.), and then go back to the computer to submit your answers. If you are NOT satisfied with the grade you receive, you can ask for a new problem. Once an assignment is submitted, the grade you receive is recorded. On-line assignments can be completed ahead of time; however the final submission date is midnight before the test. After midnight, the problems can be worked on for reviewing for the test, but the grades will not change or be recorded.

 

Daily In-Class Assignment:

When you arrive in class:

-         Put your reading response questions on the front table

-         Pick up your file folder and put away graded worked

-         Share your solutions to the daily in-class problems. The daily problems are chosen to represent the important concepts covered in the section.  Discuss the problem assigned to your group first.   Discuss everyone’s solutions, choose one to put on the board, and then discuss the other problems. As your group completes the other problems, either register your agreement with other groups’ solutions, or put up your own solutions.

    This process should only take 15 minutes of class time.

 

I will (1) share college announcements, (2) discuss the reading response questions handed in at the start of class, (3) take questions about procedures from the WAMAP homework, (4) discuss the in-class problem solutions posted on the board, and (5) introduce the mathematics concepts and procedures for that evening’s homework.

 

Grading

The proposed grade distribution is 30% for class participation and reading response questions, 20% for WAMAP on-line homework; and 50% for tests and final exam.

  • Tests are 100 pts, given each week. Test problems are similar to the in-class problems worked on that week. Since tests are designed for working in groups, it is important that you make every effort to attend, to arrive on-time, and be prepared. There are NO make-up tests. The lowest test grade can be replaced with the grade received on the final exam.
  • Final Exam is 100 pts and is a collection of problems similar to the ones presented in the daily class work that cover the material for the entire quarter. The final exam is required for all students whose QTD is below 90%.
  • Participation: You will receive 10 points for each day that you attend class. Attendance points are deducted if you arrive late or leave early, are not able to attend a session, and for disruptive and disrespectful behavior. The 10 attendance points cannot be made-up even for excused absences.
  • Reading Response Questions are worth 10 homework points. If you are absent, the response questions during that period will be accepted upon your return to class (if it is an extended absence, other arrangements should be negotiated.)
  • WAMAP Homework is worth 10 points.  The points given on-line are re-adjusted to a ten point scale.

 

If you feel that the grade distribution does not adequately reflect your understanding of the mathematics in this course, then I encourage you to make an appointment to discuss it with me during office hours. This must be done sometime before the last month of the quarter.

 

100 > 94% = 4.0 > 3.9 = A

93 > 90% = 3.8 > 3.5 = A-

89 > 87% = 3.4 > 3.2 = B+

86 > 84% = 3.1 > 2.9 = B

83 > 80% = 2.8 > 2.5 = B-

79 > 77% = 2.4 > 2.2 = C+

76 > 74% = 2.1 > 1.9 = C

73 > 70% = 1.8 > 1.5 = C-

69 > 67% = 1.4 > 1.2 = D+   

66 > 64% = 1.1 > 0.9 = D

63 > 60% = 0.8 > 0.7 = D-

60% >      = 0.7 >       = E

 

 “NC” (No Credit) grades are NOT given under any circumstances. If you want to withdraw from the course, request a “W” grade before the published deadline. “I” (Incomplete) grades are only given in strict conformity with the college catalog. Specifically, a student must be in “good standing” to request an Incomplete.  For this course, “good standing” will mean, at a minimum, a current grade of at least 2.0. “I” grades can only be requested in situations and circumstances that are out of the control of the student…please read the catalog for details. I reserve all rights about when and if an “Incomplete” will be issued. It is your responsibility to request and submit the signatures and paperwork required for “W” and “I” grades by the deadlines established by the college.

 

Assistance

Late and Make-up Work

If you are unable to attend class contact me as soon as possible to explain the situation and discuss options. It is also important to notify your group members, as they will have to function without your input (you can also ask them to take notes during the classes that you cannot attend.)

 

Tutorial Assistance

I am available to help clarify or provide tutorial assistance. However, (since I have approximately 100 students each quarter) please discuss the problem with your group members first. Make an appointment to speak with me if your group members are unable to help you. I am also available to work with the whole group.

 

If you need tutoring assistance on a fairly regular basis, the math lab is in SAM106.

 

Individual Needs

For help with dealing with math or test anxiety, please make an appointment to talk with me. We can discuss your particular issues and devise a plan to help you be successful.

 

Students with Disabilities Statement

Students with documented disabilities, who need course accommodations, have emergency medical information or require special arrangements for building evacuation should contact me within the first week of class.

 

The instructor reserves the right to reasonably adjust this syllabus if deemed necessary and will make available written changes for students to add to this document.


 

 


 

Course Calendar

The Course Calendar is not fixed, but rather is a working document which may change as we progress through the material. I will inform you of any changes to the calendar as they arise.  

 

Reading Response Questions are listed on the day they are due.

Write out the question and your response; provide evidence of your understanding.

 

WEEK 1

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Jan 4

Student Intros

1.       Calculators will be available for rental for the quarter during the first week of class. Be sure to bring in your receipt of payment and the rental agreement form.

2.       Complete WAMAP tutorial and the MATH085 Review by 5pm Thursday 10/1

Tues. Jan 5

1.1   

Mathematical Thinking and Problem Solving

 

1.2  Number Sense

1.      What are Polya’s four steps for problem solving?

2.       Explain in your own words and provide an example for each term:  condition, assumption.

3.      (Explain in your own words and provide an example for each term: reciprocal, multiplicative inverse, opposites or additive inverses, rational numbers

Weds. Jan 6

1.3    Numeric and Symbolic Representations

 

1.4    Problem Solving and Verbal Representations

 

1.      Explain in your own words and provide an example for each term: constant, variable, numerical coefficient, term, factor, expression.

2.      What does it mean to simplify an expression? Provide two different examples.

3.       What does it mean to evaluate a formula? Provide an example.

4.     For the pattern: 5, 3, 1, -1, … What are likely to be the next two numbers in the pattern? What is the output expression that can be used to determine the nth output number?

5.       Explain in your own words and provide an example for each term: equation, independent variable, dependent variable, product, quotient

Service Learning Explained

Thurs. Jan 7

1.5 Visual Representations: Rectangular Coordinate Graphs

Graph paper and graphing calculator required—bring to class daily

1.      Explain in your own words and provide an example for each term: horizontal axis, vertical axis, quadrants, origin, ordered pairs,  parallel, perpendicular,  scale (specifically when used in describing a graph)

2.      Explain and show how to use an input/output table to graph an equation

3.      Suggest axes labels or window settings for this application:

Input is daily sales up to $1000, and output is sales tax at 8 ½ %

image0014.      Clarify: If you want the calculator to graph the rational expression to the right, how would you have to enter this into the calculator? Explain.  

 

WEEK 2

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Jan.. 11

1.6 Solving Equations with a Table and Graph

 

1.7 Solving Equations and Formulas

1.       List squares of the numbers 1 through 15

2.      List powers of 2 that are less than 300

3.      In your own words, explain the advantages/disadvantages of using a table to solve an equation for a set output

4.      Clarify: In your own words explain the advantages/disadvantages of using a graph to solve an equation for a given output.

5.   Describe, in your own words, each term and provide an example: equivalent equations, inverse order of operations, inverse, identity, contradiction, solving an equation, formula, solving a formula, equivalent equations

Tues. Jan. 12

Ch 1 Review

pp.73-75 #25, 26, 32, 52a&b, 54a, 57b, 60a&b, 62, 65

Bring your solutions to class to share with your group. Hand in with your test.

Weds.

Jan. 13

Ch 1

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

Thurs.

Jan. 14

Go over CH1 test

Describe, in your own words, each term and provide an example: interval, conditions, explain how to graph an inequality on a number line,  compound inequality (be sure to explain both “and” and “or” situations), interval notation, function

2.1 Inequalities, line graphs, and intervals

 

WEEK 3

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Jan.18

NO SCHOOL

Martin Luther King’s Birthday

Tues. Jan.19

2.2 Functions

Service learning placement form approval is due

Describe, in your own words, each term and provide an example: vertical line test, domain, range, function notation, evaluate a function, linear function, intercepts, slope, increasing and decreasing functions, standard form of a linear equation

 

Weds. Jan.20

2.3 Linear Functions

 

2.4 Modeling with a Linear Function

1.        How do you find the horizontal intercept without graphing?

2.        How do you find the vertical intercept without graphing?

3.        How do you find the slope without graphing? Describe, in your own words, each term and provide an example: slope-intercept equation, point-slope equation, arithmetic sequence

4.       Clarify: What is a mathematical model and how is it used?

Thurs. Jan.21

2.5 Special Lines

 

2.6 Special Functions

1.       Describe, in your own words, each term and provide an example: opposite reciprocal, regression line, line of best-fit, coefficient of correlation

2.       How can you tell from the lines’ equations that they are parallel?

3.      How can you tell from the lines’ equations that they are perpendicular?

4.       Describe, in your own words, each term and provide an example: constant function, identity function, absolute value function, dot graphs, conditional settings, step graph

 

WEEK 4

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Jan.25

Ch 2 Review

pp.148-150 #47, 51, 55, 57, 59, 63,77

Bring your solutions to class to share with your group.Hand in with your test.

 

Tues. Jan.26

Ch 2

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

Weds. Jan.27

 Go over CH2 test

1.       Describe, in your own words, each term and provide an example: system of equations, to solve “in terms of”, substitution method, elimination method, standard form of a linear equation, addition property of equations, multiplication property of equations, supplementary angles, complementary angles, right angle.     

2.       Clarify: How do you now when you have intersecting, coincident, perpendicular, or parallel lines when solving the system algebraically?

3.       Clarify: Can all linear equations be written in standard form? In slope/intercept form? Provide example equations for slanted lines, vertical lines and horizontal lines for each form.

4.       Clarify: Show how you would find the equation of a line that is parallel to 2x +3 = y and that goes through point (1,2). 

3.1  Solving Linear Systems by Substitution or Elimination

 

3.2  Solving Linear Systems by Graphing

Thurs. Jan.28

NO CLASS

 

SAM RETREAT

 

WEEK 5

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Feb.1

3.3 Solving Equations involving Quantity and Rate

1.      Describe, in your own words, each term and provide an example: quantity, rate, quantity-rate table

2.      Clarify: Explain why the concentration of the solution mixture is always greater than the concentration of one of the ingredients and less than the concentration of the other.

Tues. Feb.2

Ch 3

Review

p.162 #49, 51; p.169 #18; p.175 #9, 13, 17, 19, 21; p.176 #9

Bring your solutions to class to share with your group. Hand in with your test.

Weds. Feb.3

Ch 3

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

Thurs. Feb.4

Go over Ch3 test

1.       Describe, in your own words, each term and provide an example: first differences, second differences, quadratic function, quadratic form, coefficients, parabolic graph, line of symmetry, intercepts, vertex, reflection points, increasing and decreasing functions

2.       Clarify: How can you build a quadratic function from a data table?

4.1 Quad. Functions

 

4.2 Modeling Quad. Fns

 

WEEK 6

Section Title 

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Feb.8

4.3 Polynomial Functions and Operations

1.      Describe, in your own words, each term and provide an example: polynomial (monomial, binomial, trinomial), terms, polynomial function in standard form, factored form, greatest common factor (when dealing with a polynomial), common monomial, prime number, prime factor

2.      Clarify: What is important to remember when adding or subtracting polynomials (provide an example)?

3.      Clarify: What is important to remember when multiplying polynomials (provide an example)?

4.   Look over the “factoring by Table” method at the bottom of p.235 (“Box Method”) and use this method to factor 9x2 + 6x + 1

Tues. Feb.9

No Classes

Winter Quarter In-Service Day

Weds. Feb.10

4.4 Special Products and Completing the Square

 

4.5 Solving Quadratic Equations with Tables, Graphs, and Factors

1.       Describe, in your own words, each term and provide an example: perfect square trinomial, square of a binomial (or binomial square)

2.      What does it mean to complete the square? Why and when is it used?

3.      Explain the Zero Product Rule and provide an example.

4.      Clarify: Explain why factoring a quadratic helps you to “solve” the equation. (Be sure to explain what it means to solve an equation, and provide an example.)

5.      Clarify: How does graphing help you to solve an equation? What are the drawbacks to using graphing instead of algebraic means to solve the equation?

Thurs. Feb.11

Ch 4

Review

pp.268-270 #17, 21, 23, 75, 77

Bring your solutions to class to share with your group.

Bring WAMAP questions and problems from the book to ask about in class.

The following might help you with WAMAP and creating quadratic equations:

Standard Form: , where the x value of the vertex is

Vertex Form:  where the vertex is (h, k)

Factored Form:  where the x-intercepts are (m, 0), (n, 0)

 

WEEK 7

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Feb.15

NO SCHOOL

Presidents’ Day

Tues. Feb.16

Ch 4

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

In response to students’ concerns about the course structure (based on survey responses), the following changes have been made to the course structure:

·        Reading Response Questions are to help guide the reading, but will not be collected and will not be included in the course grade.

·        In-Class problems are due as homework on the day the section is listed and will be worth up to 10 points.

·         Changes made to the homework (in-class problems) needs to be in a different color so that it is obvious what was accomplished at home and what has been added during group and whole class discussion. Points will be deducted for incomplete work handed in at end of class time.

·         Group time will be used to check answers and determine a spokesperson for the group (max. 10 min.)

·         Lecture time will be used to point out important aspects of in class problems students should be aware of and the second half of the class period will be devoted to introducing the new material for the up coming assignment.

·        A new survey will be conducted at the end of Ch.5 to determine if this new process will continue to the end of the year, or if we will go back to the original process.

·        All students were in attendance when this agreement was explained.

Weds. Feb.17

Finish CH4 test

1.        Describe, in your own words, each term and provide an example: product property of square roots, quotient property of square roots, radical sign, radicand

2.      Explain the difference between square root and principal square root.

3.      Clarify: Why do we use only the principal square root when working with a square root function?

4.      Explain what it means to simplify a square root; use as an example.

5.      Clarify: Explain the Pythagorean Theorem; provide an example of a problem that you would use the theorem to help you solve it; then solve it.

5.1 The Square Root Function and the Pythagorean Theorem

Thurs. Feb.18

Go over Ch4 test

1.       Describe, in your own words, each term and provide an example: isosceles triangle, isosceles right triangle, equilateral triangle, altitude of a triangle

2.      Clarify: Explain the process by which you can solve a quadratic equation by taking the square root.  What conditions must be met to use this method?

5.2 Solving Quadratic Equations with Square Roots

 

WEEK 8

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Feb.22

5.3 Solving Quadratic Eq. with the Quad. Formula

 

5.4 Solving Minimum and Maximum  Problems

1.       Use x2 + 12x = 3 to show the steps you use to complete the square and solve for x.

2.       Clarify: What is the Quadratic Formula and why is it so helpful for helping us solve a quadratic equation?

3.       Show and explain the standard form of a quadratic equation.

4.       Explain and show how to find the maximum or minimum value using the quadratic formula.

5.       How are the vertex and the maximum and minimum values related?

Tues. Feb.23

Ch 5

Review

p.296 #53 a-d; 55a-f; p.305 # 39, 41; p.315 #37, 39

Bring your solutions to class to share with your group. Hand in with your test.

Weds. Feb.24

Ch 5

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

Thurs. Feb.25

Go over Ch5 test

1.       What is a positive integer exponent and what is a power? Provide an explanation and an example for each.

2.       What do you do to the exponents when you (a) multiply numbers with like bases, (b) divide numbers with like bases, (c) apply an exponent to a power expression, and (d) apply an exponent to a product or quotient? Provide an explanation and an example for each.

3.       Which of the following are in scientific notation and which are not? Explain your answer. (a) 3x104  (b) 0.3x10-2  (c) 13x10-3  (d) 1.32x104  (e) 0.13x102  (f) 13.4x10-4 

4.      What is meant by significant digits? Identify the significant digits for 305,720,000 and 0.0000050402

7.1 Exponents and Their Properties

 

7.2 Scientific Notation and Significant Digits

 

WEEK 9

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Mon. Mar.1

7.3 Rational Exponents

1.      Provide an example of a number raised to a rational exponent.

2.      Clarify: Explain how to use your calculator to find 71/3.

3.      Clarify: Explain what the numerator and the denominator of the rational exponent represent.

4.      Show two different ways to solve 642/3.

5.      Clarify: What is the formula for compound interest?  Explain what each of the numbers and variables represent in the formula.

Tues. Mar.2

7.4 Roots and Rational Exponents

 

7.5  More Operations with Radicals

1.       Describe, in your own words, each term and provide an example: radical expression, radical sign, index of a radical, principal nth root, odd nth root, quadratic formula,  similar radicals,  conjugate,  rationalize the denominator, distance formula, extraneous root

2.      How are rational exponents and radicals related?

3.      Describe and provide examples for: (a) Like Bases Properties (b) Power of a Power and nth Root of an nth Root Properties (c) Power of a Product, and Power of a Quotient, nth Root of a Product, and nth Root of a Quotient Properties

image0034.      Explain what you do to simplify a radical, show your process with:    

Weds. Mar.3

7.6 Inverse functions

 

7.7 Solving Root and Power Equations

1.       Clarify: How can you determine the inverse of a function from a data table, graph, or an equation? Provide an example for each.

2.      Describe, in your own words, extraneous root and provide an example.

Thurs. Mar.4

Ch 7 Review

p.459 #31; pp.498-499 #49, 60b&c;

p.503 #50a&b, 65a (solve algebraically then check answer with graph)

Bring your solutions to class to share with your group. Hand in with your test.

 

WEEK 10

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

 

Mon. Mar.8

Ch 7

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

 

Tues. Mar.9

Go over CH7 test

1.       When we studied data sequences for linear and quadratic functions we discovered interesting properties concerning their first and second differences. Describe these and compare them to the data sequence for exponential functions.

2.      Describe, in your own words, each term and provide an example: common ratio, geometric sequence, exponential regression, like bases property

3.      What are some of the features (i.e., points they pass through, lines they approach, domain, range) of the graphs of exponential functions?

4.       Clarify: How would you find the y-intercept of an exponential function? How is this process the same and/or different than what you do to find the y-intercept for linear and quadratic functions?

 

8.1 Exponential Functions

 

8.2 Exponential Equations and Graphs

Weds. Mar.10

8.3 Solving Exponential Equations: Logarithms

1.      Describe, in your own words, logarithm and provide an example

2.      Show and explain how to convert an exponential function into a logarithmic equation and how to convert a logarithmic function into an exponential equation (Euler’s Definition).

 

Thurs. Mar.11

8.4 Applications of Exponential and Logarithmic Functions

1.      Solve log1001000  by changing it into exponential form.

2.      Use log1001000 to show how to change a logarithm for any base into a base ten formula that can be solved using a calculator.

 

 

WEEK 11

Section Title

Reading Response Questions are due on day listed.

Also bring to class your solutions to the in-class problems

Service Learning:  essay, time sheet, and supervisor evaluation due

 

Mon. Mar.15

8.5 Properties of Logarithms and the Logarithmic Scale

1.       Show how the 3 properties of logarithms align with the properties for working with exponents (p.438)

2.      Give examples for the 3 properties of logarithms

3.      (We will not be discussing the semilog scale pp.557-8)

 

Tues. Mar.16

Ch 8

test review

p.519 #49a, p.551 #43, 45, 47 & 49a-c; p.560 #41, 45

Bring your solutions to class to share with your group. Hand in with your test.

 

Weds. Mar.17

Ch 8

Test

WAMAP problems due by midnight (before the test).

Hand in Review problems today.

 

Thurs. Dec.18

Go over CH8 test

Linear Functions: p.430 #9 & 11 (explain the meaning of the slope and the y-intercept)

System of linear equations using quantity rate table: p.176 #11, 12 & 13

Quadratic Functions: p.315 #37 & 39 (maximize area)

Radical & Exponential Functions: p.502 #41 e & f (rationalize denominator, then start with original and convert to exponential form)

Graphing exponential functions: p.577 #101

 

Course Evaluation

 

FINAL REVIEW

 

 

WEEK 12

Section Title

Finals Week

Mon. Mar.22

FINAL EXAM

1-3pm