Portland Community College | Portland, Oregon

_Math 95 Winter 2020

Syllabus

Book is online at:

https://spot.pcc.edu/math/orcca/ed2/html/section-factoring-strategies.html

Odd Problem Answers at:

http://spot.pcc.edu/math/orcca/ed2/pdf/orcca-odd-answers.pdf

HW #1 Due on January 14, 2020

• 5.4:  17 – 20,  39 – 43, 81 – 83
• 10.1:  21 – 48 by 3 (that means 21, 24, 27, …)
• 10.2:  18 – 36 by 3
• Write out all time tables as follows

1 x 2  = 2

1 x 3 = 3

………  up through 12 x 12 = 144

Memorize time tables !!!!!!

 

HW #2 Due on January 21, 2020

• 10.4:  9 – 78 by 3
• 10.3:  15 – 100 by 5
• 10.5:  15 – 81 by 3
• 10.6:   15 – 75 by 3

HW #3 Due on January 28, 2020

• 10.7:  12 – 72 by 3.
• 10.8:   10 – 82
• Read 11.1 very carefully.
• Test on Chapter 10 and 11.1 on January 30, 2020

Test #1 on Thursday, January 30, 2020

• Make up a practice test using about 40 problems from HW #1 through HW #3.  Also know the names of all the factoring methods and how many terms are used for each method.
• In Section 11.1 problems from the following ranges should be used in your practice test:  11 – 36, and 37 – 48.

HW #4 Due on February 4, 2020

• Read 11.1 and 11.5 carefully and also read these notes.
• Write the notes into your notebook.  You may do some condensing of words, but to not lose the meaning or detail.
• When doing the problems for Chapter 11, it is optional to put graphs on the homework sheets you turn in for credit.  Please copy the table to your homework sheets.
• 11.1:  2, 10 – 95 by 5.
• 11.5:  1 – 14.
• Read 1.3 [Yes, I do mean 1.3.  It talks about some very important notation.]
• Read 11.2 and especially 11.2.2 on the correct notation.
• When studying domain and range the open dot means the point is not included and the solid dot means the point is included.  See problem 11 in 11.2.

• The point at (-1, -6)  is not included on the segment.  The point (3, 6) is included.
• Notebooks will be inspected on Tuesday, February 4, 2020.

HW #5 Due on February 11, 2020

• 11.2:  3 – 66 by 3
• Read 11.4, I will try to send some notes, but it is a maybe.   Basically you can substitute a value into a function, such as f(x) = 5x then f(3) = 5(3).  We can also substitute an entire function into an expression, such as f(x) = 5x, then 10(f(x)) = 10(5x) which would simplify to 50x.  You can also substitute an entire expression into a function, such as f(x) = 5x, then f(3 – p) = 5(3 -p) which would simplify to 15 – 5p.
• 11.4:  9 – 42 by 3.
• Read 12.1 and 12.2.

HW #6 Due on February 18, 2020

• 11.6:  3 – 18 by 3
• 11.6:  38, 41 – 47
• 12.1:  6 – 27 by 3
• 12.1:  You can load desmos as an app or use desmos.com on a computer and pick any two problems from 29 – 35.
• 12.2:  30 – 90 by 5.
• 12.2:  91, 97, 99, 100

HW # 7:  Due on February 25, 2020

• 12.3:  30 – 48 by 3.
• 12.3:  57 – 63 by 3
• 12.4:  29 – 32
• 12.5:  36 – 48 by 3
• Test on 2/27 on Ch 11, 12, part of 13

Test # 2 Preparation for Test on February 27, 2020

• Test on Ch 11 [Functions] and Ch 12 [Rational functions, expressions, and equations]. Please make up a test and take the test.  The problems that are good to use are from the following sections.
• 11.6:
  • 3, 5, 7, 11, 13, 15, 17, 37, 39, 41, 43, 45, 49
• 12.6:
  • 1, 11, 13, 21, 43
• 12.5:
  • 65 [This is like worded problem in class, but we will have three fractions equal to one fraction.  For those of you not in class on 2/25/2020, go to Example 12.5.4. in section 12.5 and click on Explanation.]
• 12.2:
  • 97
• 12.4:
  • 9
• 12.1:
  • 9

HW #8:  Due on March 3, 2020

• Most of the students had trouble on the graphing of a rational function on Test #2.  You will get a change to a similar problem first thing on Tuesday, March 3, 2020.  Please look at Example 12.1.8 in our book.  We will work it just using fractions.  A very important item is to really show the work for each substitution.
• Read 13.1 very, very carefully on graphing.
• You will need graph paper.  Four or five squares per inch is good.
• Read these notes on graphing.  Pay special attention to Page 3 and notice all of the steps to substitute in values.  These notes are also found at:
  • pcc.edu/staff/wdiss/notes under Graphing
• Using the steps found in the document, notes, do the following problems in 13.1:
  • Use a table of five values to do problems 2 and 3  [For Problem 3 use values of -10, -5, 0, 5, 10].  The steps are on Page 3.
  • Use the steps on Page 9 to do problems 6 and 7.
  • Use the steps on Page 4 to do problems 15 and 21.  For problem 21 scale your graph so that every square is one half of a unit.  Page 1 shows an example for 1/3.
  • Use steps on Page 3 to do the following problems and use the values of x given.
    • 23, use x values of -3, -2, -1, 0, 1, 2, 3
    • 24, use x values -4, -3, -2, -1, 0, 1, 2
    • 27, use x values of -5, -4, -1, 4, 11
• We are going to go back to quadratic equations.  Please go to the following:
  • pcc.edu/staff/wdiss/notes
• Scroll down to Quadratic Equations and read all four documents of the different ways to solve a quadratic equation.  We have used the factoring method.
• We will then look at quadratic functions.  Please read 13.2 carefully.  Look at the vertex form of a quadratic function found at Fact 13.2.11.
• Please follow Checkpoint 13.2.12 carefully and also go through Example 13.2.13 carefully.
• In 13.2 do the following problems and be careful with the sign.
  • 45 – 50.

HW #9:  Due on March 10, 2020

• 13.3:  43, 45.  Do the following to graph these two parabolas.
  • • Put these in vertex form to find vertex.
    • Look at value of number in front of ( ), “a” and if positive, graph opens up and negative, graph opens down.
    • Substitute in x = 0 into the function and evaluate this value will be the y-intercept.
    • Set the function to zero and you will have a quadratic equation that can be factored.  Factor and then find values for x.  The values for x will be the x-intercept points.
    • Graph the y-intercept point, the vertex point and the x-intercept points.
    • Draw a vertical dashed line in a different color through the vertex.
    • Points can be reflected across the axis of symmetry so make sure that each point has a reflection point.
    • After graphing five points make a parabola.
• 13.3:  63 – 72 by 3.  Put functions in vertex form to find the minimum or maximum point.  Recall from the above steps the value of “a” in f(x) = a (x – h)^2 + k.  Once you know if a graph opens up or down, then you will know if it is a max or min.
• Read 13.4 and 13.6.
• Review 7.1 and 7.2.
• Start reviewing old homework problems for the final.

Final Test Information