El Camino College


Math 73

 

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Intermediate Algebra
Professor Alice Martinez 

 

 

 

 

 

 

 

Class Information:   Room: 

  Section:  Time: 

  Section:  Time:  

 

  Announcements:  You will use the book extensively in the class so PURCHASE the book. We will also be using TI-84 calculators, which you will later need in your Statistics class so you might as well purchase that now also.  Use the summer to find deals on the book and calculator.

   Required Materials: 

  • Intermediate Algebra by Lehman (ECC Custom Edition #1- 2014 OR                                                                                          5th Edition of non-custom edition) 
  •     TI-84 Calculator
  •     Notebook, 1 highlighter, FOUR blue books (or homemade version).

  

   Grades are based on a points: (See syllabus for more details)

Homework = 20 points each       Quizzes = 20 points each

Class Activities = 22 points        Exams = 300 points each x 4

Final Exam = 500 points   Must earn 70% overall in the class along with 65% or higher on the final exam.  65% is NOT a passing grade, nor does it ensure a passing grade, it is just a minimum score on the final exam ALONG with the requirement to earn 70% of points overall in the course.

 Tentative Schedule

August

27         Introduction, 1.1 What do you recall?

28         1.2, 9.4  Fun with Graphs

29         1.3 What’s your Slope?

30         1.4 What does it Mean?

September

3          HOLIDAY

4          1.5 What’s in a Line? HW 1

5          1.6 Functions

6          Calculator & CH 1 Quiz; 2.1 Can you Model?     

7           Last day to add / drop without “w” and be eligible for a refund

 

10         2.1/2.2 What equation?  HW 2

11         2.3 What’s your prediction?

12         2.3/2.4 Changing so soon?

13         Ch 2 Quiz, 2.4 continued

 

17         Ch 1 & 2 Review HW 3

18         EXAM 1 (1.1 -2.4), CA Due

19         3.1/3.2 Whose line is it anyways?

20         3.1/3.2 Continued

 

24         3.3/3.4 Can Woman run as fast as man? HW 4

25         3.3/3.4 Continued

26         3.5 Inequalities in one variable

27         Ch 3 Quiz 4.1 What’s in an Exponent?

 

October

1          6.1 Add this!  HW 5

2          6.2  Multiplying is better!

3          Box it up! (6.4–6.6)

4          Box it down. (6.4–6.6)    Ch 6 Quiz

 

8          Review   HW 6

9          Exam 2 (Ch 1-3, 4.1, 6.1-6.6) CA 2,  

 

 

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Assignments:

Reminders: 

1) Videos for each HW.  Be sure to look in the instructional videos section for the videos assigned for each HW.  You will be required to either fill in pre-made notes or make notes of your own if no pre-made notes are provided.  These notes are to be titled and turned in with the HW in order to earn credit for this part of the HW.

2) For ALL HW you need to include a vocabulary list of pertinent vocabulary from each new section you turn in work on.  Label which vocab is from which section to earn credit.  Vocabulary should be defined in a way that helps you, personally:  words, pictures, formulas, etc.  (Any section already completed you do NOT need to redo vocabulary.)  

3) For book problems, see HW guidelines (link above) on how to do this work. 

Remember: Continue to do vocabulary for EVERY new section we cover and turn them in with the HW.

HW Printout HW 1-5

 

HW #1                                                                                                                           Due: 9/4

1) Basic Algebra ReviewPrint this out and do the problems

2) Videos:  For each of the videos/webpages write down the title on your HW and then write your notes below the title.

* Review slope definition and calculation: 

Definition: http://www.mathsisfun.com/definitions/slope.html  Once you write down the definition, click on equation of a straight line and explore using the interactive graph.  Write down what you learn.
Calculations: http://www.mathsisfun.com/geometry/slope.html .  Take notes on what you learned.

* Click the link here to read about roof pitch.  Do you recognize something familiar? Read the short article, and write a few sentences about what roof pitch has to do with math. 

Solving two variable equation for one of the variables - watch this video and follow along by taking notes and doing the problem.  Turn these notes in along with all the notes you made above as the video portion of your HW. 

Now do the following handout: Solving for y in terms of x  - Print this out and do the problems

Songs: Watch and enjoy  Rise up Run outAnother graphing song;  Optional: Graph it song 

Book Problems/Vocab: For the following sections:  Make a list of the pertinent vocabulary for each section assigned below and write definitions for each.  The definitions can be words, pictures, equations... whatever helps YOU understand it.  Be sure to write which section each vocabulary word comes from.  (Some sections will have more vocabulary than others.)  You will be doing this vocabulary for every HW for every new section.

1.1  9, 16, 39

1.2  47, 50, 96
1.3  13, 26, 30, 34, 38, 52

1.4  10, 13, 29

Remember:  I grade HW for completeness not correctness.  It is up to YOU to check your answers and be sure they are correct.  Incorrect solutions will not be marked incorrect by me or the TA, so CHECK your solutions to ensure you are correctly practicing for the exams.  If the problems don’t have solutions in the book: use my office hours, your tutor, classmates or the tutoring center to check your solutions.

 

HW #2                                                                                                                Due: 9/10 

Videos: *Watch the following two videos for rates:  (1) comparing rates   and (2) representing rates

Write the following:

           1) For each video write at least one question or comments you have about it.  For example: You can write something you understood that would be good to remember,

            2) Also, copy down the actual problem that was done.

            3) What do you notice about rate and slope?

*Learn (or review) how to find the equation of a line using point-slope form. Online video .  Write out the example or do your own example problem.

Function notation and Evaluating functions  After watching the two video links state what g(x) means and EXPLAIN how to find g(3) if g(x) = 3x - 7 + x .  Now find g(-4).

Song: Watch, listen and enjoy: Algebra song - function rap

Book Problems / Vocab: For the following sections, except 1.3, since it's already been done:  Make a list of the pertinent vocabulary for each section assigned below and write definitions for each.  The definitions can be words, pictures, equations... whatever helps YOU understand it.  Be sure to write which section each vocabulary word comes from.  (Some sections will have more vocabulary than others.) 

1.3   42, 45, 55-58 all

1.4   44, 51, 61 (for part b skip the part about the slope addition property.  Answer the rest.)

1.5   27, 37, 45, 60, 72

1.6   9, 13, 25-28 all, 34, 35, 39, 40, 43(use your calculator to graph, then sketch the graph on your HW)

2.1   3, 8


HW #3        This HW includes your Review for Exam 1                                               Due: 9/17

Videos:

A)  Scatterplots:   Watch the following videos (1) smoking scatterplot  (2) constructing scatterplot  (3)  2nd scatterplot (4) Practice

Questions to answer: 

            4) How did the practice plot (video 4) go for you?

            5) How would you define a scatterplot?  Explain.

B) Lines for scatterplots:  (1) 1945 smoking data (2) Interpreting trend line

            6) Why is it useful to draw/have a line in a scatterplot? 

Book Problems / Vocabulary:  For the following sections (2.2-2.4):  Make a list of the pertinent vocabulary for each section assigned below and write definitions for each.  The definitions can be words, pictures, equations... whatever helps YOU understand it.  Be sure to write which section each vocabulary word comes from.  (Some sections will have more vocabulary than others.)  Then do the problems in each section. Review problems are part of the required HW.

2.2       17, 18

2.3       3, 12, 22, 29, 39, 41, 43, 47, 51, 59-62 all, 75

2.4       3, 13, 14a-only, 15 

You do not need to do vocab for the following:

1.5       1, 43, 73 

pg 183-184  Cumulative Review Ch 1-3:     1, 3, 5, 7, 12, 13, 14, 15, 16 

Ch 1 Test (pg 56-57):  Pick 5 problems to help you review for Exam #1.

 

HW #4                                                                                                                      Due: 9/24

Song:  All I do is Solve - Watch

Videos: Now Watch the FOUR videos on Solving systems of equations. For EACH of the videos, write the title of the video and a description of the method or idea covered.  You should also work the problems along with the videos.

HW #4: Tortoise & Hare: Solving Systems of Equations - Set-up 

HW #4: Tortoise & Hare: Solving Systems of Equations - Substitution 

HW #4: Solving Systems of Equations - Elimination

HW #4: Solving Systems of Equations - Dependent/Independent/Inconsistent

Book Problems/Vocabulary: As a reminder for this and all HW assignments you are to do vocabulary for EACH new section and turn it in with the HW.  Be sure to label the vocabulary by section.  (This is the last HW assignment that I will remind you of this, take it as an assumption from now on.)  

2.1       7, 9abc only – Do these using the linear regression function on your calculator, as taught in class.  If you don’t have a calculator go to the tutor center and borrow one to do the work, or come to my office hours to borrow one.

3.1       3, 6, 11  (solve by graphing)

 Choose your method for 3.2 but be sure to practice BOTH substitution and elimination:

3.2       1, 17, 19, 33, 41, 47, 53, 59, 93, 94  

pg 183-184  Cumulative Review Ch 1-3:  17, 18, 23, 27, 28, 34, 38

 

HW #5                                                                                                                   Due: 10/1

Videos:   Take notes for each.  Be sure to label with the title of each video link.   Plan for the time to watch them.  They are very helpful, but only if you watch them.  For “Subtracting Polynomials” feel free to fast forward parts that are too slow or not helpful OR if you already know how to subtract polynomials then you may skip this one video by writing your own description of how to subtract and give an example.  Label this “My polynomial subtraction instructions.”

HW #5:  Solving Systems of Equations - Why elimination works     

HW #5:  Properties of Exponents part 1,  part 2

HW #5:  Subtracting Polynomials

HW #5:  Solving Inequalities in one variable

Book Problems/Vocab:

2.2      1                   3.2      15, 27, 61 (choose your method for all of these.)

2.4      17                 3.3       1, 2, 5a, 6a

For the following problems in 3.4 only set up the systems of equations do NOT solve:  

  • 3.4     3, 15, 17, 32

3.5       2, 5, 11, 17, 23, 33, 35, 37, 51, 67

4.1       3, 5, 7, 9, 25, 58   (I suggest watching the video on exponent properties first)

pg 183-184  Cumulative Review Ch 1-3:    2, 4, 6, 19, 20

 

HW #6    This HW is your Exam 2 Review, use it to study. It’s LONG so start early!   Due: 10/8

Videos: Same instructions as usual.

HW #6: Ch 6: Multiplying using box - Video 1,  Video 2Video 3-trinomials                 

HW #6:  Factoring using box method:  Video 1 ; Video 2;  video 3-four terms

Song: Multiplying Binomials song – listen and enjoy

Song: Teach me how to factor – listen and take notes!

Book Problems/Vocab: same instructions as usual.

2.4       19, 30               

3.3       4, 5b, 6b, 7ab, 9a (Use RegEq on your calculators to get the lines. For 5 & 6 use your part a from HW 5)

4.1       2, 4, 6, 26, 57 – For even problems be sure to find a way to check your solutions.

For Ch 6 problems:  Ignore the instructions that state:  “use the graphing calculator to verify….”

6.1       7, 11, 17, 26, 29, 30, 31, 33, 69, 75, 78

6.2       1, 7, 11, 15, 29, 35, 37, 41, 68, 69

6.4       33, 43, 47, 61, 64, 65

6.5       1, 6, 12, 13, 15, 21, 37, 40, 45, 53

pg 183-184  Cumulative Review Ch 1-3:  26, 30, 31, 39 

Cumulative Review, pg 477:  16, 30, 31, 38

Study for Exam 2 - The above are a great review, but do additional problems of any type of problem that is still giving you trouble so you will be prepared for the exam.  Be sure you are checking your solutions to all problems and seeking help on those that give you trouble BEFORE the day of the exam!

 

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Course Material:

Required Materials:

  • Intermediate Algebra by Lehman (ECC Custom Edition #1- 2014; This is similar to 5th Edition of non-custom edition; We will NOT be using any online HW so you do NOT need a code.)
  • Graphing calculator preferable TI-84 (or TI-83). (Note: TI-89, TI-86, TI-Inspires, phones, etc. will NOT be acceptable during exams or quizzes.),
  • Large Blue Exam Books (approx 3)

Extra Video

Road gradients

Rules for grading roads

Roof pitch video 

Waipio valley road (watch only until 2:32)

Another Waipio valley video.  (Watch from 3:00-3:30)    

Waipio from the 4x4 view (quick video)    

 

Class Notes / HW printouts: 

 

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Online Resources:

 

Calculator Help:

 

Songs: 

Rise up Run out (slope, graphing and equations) song (HW 1)

Graph it song (optional HW 1)

Another graphing song (HW 1)

Algebra song - function rap (HW 2)

All I do is Solve - systems of equations (HW 4)

Multiplying Binomials song (HW 5)

Teach me how to factor (HW 6)

Solving Quadratic Equations Song  (HW 7)

Best quadratic equation song (HW 9)

Super Base - Exponent Rules (HW 12)

Parabolas with Mario and Luigi

 

Instructional Videos 

 

HW #2 Extra videos if needed:  

             evaluating a function using a graph

             another function evaluation video

HW #4: Tortoise & Hare: Solving Systems of Equations - Set-up 

HW #4: Tortoise & Hare: Solving Systems of Equations - Substitution 

HW #4: Solving Systems of Equations - Elimination

HW #4: Solving Systems of Equations - Dependent/Independent/Inconsistent

HW #5:  Solving Systems of Equations - Why elimination works     

HW #5:  Properties of Exponents part 1,  part 2

HW #5:  Subtracting Polynomials

HW #5: Ch 6: Multiplying using box - Video 1,  Video 2

HW #6:   Video 3-trinomials                 

HW #6:  Factoring using box method:  Video 1 Video 2 video 3-four terms   

HW #6:  Zero factor Property 

HW #6:  Solving quadratic equations    Solving quad equations video 2       

Not assigned:  Graphing Quadratic Functions using Vertex Form

Not assigned:  Graphing quadratic functions in standard form

HW #7:  Solving using square root property 

HW #7:  Quadratic Formula Help - Pick One:

                     Funny video (but long), regular video (shorter)        

HW #7:  quadratic equations application problem

Not assigned:   mixing problem;

HW #8: Domain of rational expressions: video 1        

HW #8:  Simplifying rational expressions: video 1 

HW #8: Multiplying rational expressions: video 1

HW #8:  Dividing rational expressions:  quick video

HW #8:  Optional video: simplify/multiply/divide rational expressions quick review (all the above concepts combined into one video.  You can use this instead of the above three videos as long as you provide examples of each topic, or you can use this to give you more examples of the above topics.)

HW #9:  Adding rational expressions:  video 1 

HW #9:  Adding rational expressions: video 2       

HW #9:  Solving rational equations:   There are 10 videos on this web-page all discussing solving rational equations and application problems in rational equations, including extraneous roots.  Watch at least one of each type, although it would behoove you to watch at least two of each type.  

HW #9:  Simplifying radicals:  Video 1 

HW #10: Adding radicals Video1  Video 2

HW #10:   Multiplying radical expressions using box

HW #11:  Rationalizing Denominators 

HW #11:  Radical Equations:   Video (scroll down to find video)

HW #11:   Definition of Absolute value 

Hw #12:  Solving Absolute Value Equations

HW #12:   Solving Inequalities in one variable

HW #12:  Graphing two-variable inequalities

New videos:

Graphing equations by plotting (quadratic  & shifts) (13:36)

 intercept method for graphing (13:11)

grpahing lines in general

Review of Math 40 Material:

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