Week #1
- Syllabus
- Factoring Ch. 10
Week #2
Week #3
Week #4
- Rational Expressions Ch. 12
- Test #1, 10/17/24
Week #5
- Rational Expressions Ch. 12
Week #6
- Rational Expressions Ch. 12
Week #7
- Rational Expressions Ch. 12
- Graphs, rational, quadratics Ch. 12, 13
Week #8
- Solving Quadratics and Other Equations Ch 13
- Test #2, 11/14/24
?Week #9
- Solving Quadratics and Other Equations Ch. 13
?Week #10
- Functions Ch. 11
- Thanksgiving Holiday no class, 11/28/24
?Week #11
- Functions Ch. 11
- Review Ch 10-13
Week #12
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Multiplication Practice Assignment
Write out all timetables.? Please see?example?[pdf].
HW #1
HW #2
- Read 10.5 through 10.7 for the future.
- Read over general factoring?guide?[pdf].
- Problems to turn in:
- 10.2:? 17 – 35 odd
- 10.3:? 11 – 45 odd
- 10.4:? 9 – 27 odd
HW #3
- I have some prepared notes that should be helpful for those who have missed class, or want some more information for review.
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- I also have some prepared notes for topics we will cover during Week 4.
- Operations on Fractions?[pdf]:? This is section A.2 in the Appendix.? It is very important to understand operations on fractions with numbers before doing fractions with polynomials, that is, rational expressions.
- Rational Expressions?[pdf]:? This is section 12.2 and “rational expressions” is a term that means fractions with polynomials.
- Read over 10.8 the review section for Ch 10 and do the following problems:
- 3 – 69 by 3, that is, 3, 6, 9, 12, … , 69
- 72 – 82 all
- 84 – 90 by 3 Solve and Check
- Read A.2 in the Appendix on Fractions
- Read 12.2 on Fractions and we start here on Tuesday
- Work on Time Tables
- Make up a Practice Test and take it:?[Do Not Turn In]
- Put 10 different factoring problems on the test.
- Put two equations to solve by factoring.
- Make a question where you have to write the strategy to factor any problem by starting with GCF, using difference of squares for two terms, using … for three terms.
HW #4
Before doing the problems for HW#4, please do the following:
Review how to simplify, multiply, divide, add and subtract numerical fractions from notes on October 15, 2024.
Read these notes on Simplifying Rational Expressions.? Use these notes to finish writing the notes we started on October 17, 2024.? Alternatively, you can just write all of these notes and not use the notes from October 15, 2024.
Problems for HW #4
- 12.2
- 31 – 61 odd and skip # 53.
Read these notes on Multiplying and Dividing Rational Expressions to be ready for Week #5.
HW #5
- 12.2:? 75 – 115, by 5.
- If you have a fraction over a fraction like the following, the next step is to change to a division problem.
- 12.3:? 15 – 60 by 5.
- Look at these notes for more help for 12.2.
- If you missed Test #1 or if you received 70% or lower, I will allow you to retake another version of Test #1.? Please do the following:
- Obtain a copy of Test #1 and do all of the problems for practice.? Retake this test as you would a real test by going to a quiet place and take the test with no notes, calculators, etc.
- Contact the testing center, see link, and sign up to take Test#1-RetakeVersion for Math 95 for Mr. Diss.
HW #6
- Read 2.5 on application problems.? There are mainly two types, one deals with rates, times and distances and the other on two people or machines doing a job.
- 12.4:? 23, 27
- 12.5:? 35 – 45 odd
- Note for 12.5.? Many equations will have x to the second power.? Please review the following steps.
HW #7
Test #2 on Thursday, November 14, 2024
Know how to multiply and divide rational expressions:
Know how to add and subtract rational expressions:
Know how to simplify a complex fraction
Know how to solve rational equations
Know how to solve applications with rational equations
- 12.5: 65
- 12.6: 53 .? When solving this equation look at the following document.
Please look at 13.1 and 13.2 and this information will also be on the test.
Prepare for Test #2 on November 14, 2024
- You can rework HW #7
- Look over 13.1 to understand graphing and this document is helpful.
- You should do these two graphs in 13.1:
- 24:? Use x values of -3, -2, -1, 0, 1
- 27:? Use x values of -6, -5, -4, 4, 11
HW #8
A bit of a rest this week due to your extra hard work on factoring and rational expressions and equations.? There is not much written work, but please read all specified sections or documents.
Please do these two graphs on graph paper if you did not do them earlier in the week.
- 13.1
- 24:? Use x values of -3, -2, -1, 0, 1
- 27:? Use x values of -6, -5, -4, 4, 11
We will also start using function notation.? In the last two graphs, you had to write an equation and then to find a y value you had to put in a value for x.? We can say that y depends on x ,or that y is a function of x.? Many times there are many equations for y and it confusing to keep track of this y and that y.
Below is an equation for y and a function.
You can see that right part of the equation remains the same in each form.? The left side, f(x) means that name of the function is f, and the input variable is x.? It is important to point out the f(x) DOES NOT mean f times x.
Look at these two documents on Quadratic Functions
Also look in the book at Section 9.2 and read the list at:
List 9.2.12. Summary of Key Features of Quadratic Graphs
HW #9
I will send out some more notes, but the first two problems, in 13.8,? you should be able to do because we had steps, examples and your work on Thursday.
The next section, 11.6, is on functions and I believe a few more notes should be helpful.? By the way, you DO NOT need to draw any of the graphs in 11.6
- 13.8:? 27, 28
- 11.6:? 13 – 18, 37, 38
- Notes to help on 11.6
HW #10
Look at pcc.edu/staff/wdiss/notes and search for? the word solve to see notes for solving different types of equations.
- 13.5: 1, 7, 8, 24, 37, 45
- 13.6:? 17, 23, 25, 27, 37? [Solve and also make a number line graph along with any other form specified in the question.]
Preparing for the final exam (Part One).
First of all, thank you for your fine work all term !!!!!!
Here is a list of items to do:
- Read over all of your notes very slowly.
- Get new paper and work Test #1 and Test #2. Please work the problems just as would on a test with all of the correct steps.
- After Test #2, we did the following topics:
- Functions,
- Solving different types of equations,
- Solving inequalities,
- Solving absolute value equations,
- Graphing parabolas from quadratic functions by finding the vertex,
- Solve equations and inequalities by graphing using technology.
- Part Two of preparing for the exam will have some sample problems.
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