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people:mckenzie:math_108_hw

Chapter 3 textbook scan part 1 and part 2

In bold is the date on which the assignment is given. Prepare the work shown and be ready to ask/answer questions the following class day.

WEEK 1

**Tues-Wed Jan 16-17** Read Sec 1.1-1.2; do Comprehension Checks throughout the reading.

Do on pp. 31-32, Sec 1.1 and 1.2 problems.

Go to Practice worksheets and choose the one on radicals and rational exponents.

To help you, view Simplifying radicals with constants only and With variables

**Thurs-weekend Jan 18-20** *Read Sec 1.3 * Finish up Sec 1.1 and 1.2 problems. Do all problems for Sec. 1.3, pp 32-33.

**Add this to weekend** Read Sec 1.4 and view FACTORING VIDEOS:

Magic factoring (aka factoring by trial and error)

Factoring by grouping (with example using magic factoring)

Factoring sums and differences of cubes

WEEK 2

**Mon Jan 22** NEW CLASSROOM FOR ALL DAYS: LH 13 starting tomorrow, Tuesday,.

Study for quiz on Sections 1.1 to 1.3

Do all Sec 1.4 problems.

For Sec 1.5, view these videos along with reading the book – Operations on Rational Expressions:

Writing rat'l expressions in lowest terms

Multiplying, dividing rat'l expressions Ex 1

Multiplying, dividing rat'l expressions Ex 2

Multiplying, dividing rat'l expressions Ex 3

Adding, subtracting rat'l expressions, several examples

Adding, subtracting rat'l expressions, one more good example

**Tues-Wed Jan 23-24** Read Sec 1.5; do exercises pp 33-34 #1, 2, 3 a-i

Read Sec 1.6.

View Solving an equation involving two radicals Ex 1

and Ex 2

**Thurs Jan 25** Do Sec 1.6 p 34 #1 a-m

**Fri-Weekend Jan 26-28** View Completing the square to solve an equation: Ex 1 and Completing the square to solve an equation: Ex 2

After viewing, read Sec 2.2.

Do p 58 completing the square #1 all, #2 all, #3 a-g

Read 2.1; do p 58 polynomial division #1 a-f

WEEK 3

**Mon Jan 29** Study for Quiz 2: Factoring (special products, reverse FOIL, and grouping), simplifying a rational equation (state the restrictions on x at the end), solving a radical equation (don't forget to check your answer), solving a quadratic equation by completing the square.

Read Sec. 3.1 and 3.2. Look esp at the domain examples and comprehension checks.

Algebraically Finding the Domain of a Function

Do pp 84-85 #1 a c d f, 4 all, 6 a b, 7, 9

**Tues-Wed Jan 30-31** Read Sec 3.3 and 3.4

Do p 85 2, 3 b d, 4, 6 a b, 7

Watch the videos:

Evaluating piecewise functions

Domain of a composition of functions

￼**Thurs Feb 1** Read Sec 3.4 and view:

Understanding one-to-one functions and inverses

Finding the inverse of a function

Do Sec 3.4 pp 86-87 #1-5.

Extra practice worksheet on finding inverse functions (especially the second set on the page):

Study for Quiz 3 on composition of fcns and their domain, finding the inverse of a fcn, showing a fcn is 1-1, using the definition (I'll leave an example on the board for that one, as I did on the first quiz).

**Fri-Sun Feb 2-4** Read Sec 3.3 and view: Even and odd functions

Do p 86 Sec 3.3 #1 a b c d, 2 all, 4, 5 a b, 7

Extra practice worksheets on Odd/Even/Neither:

Odd, even or neither worksheet

More even, odd, neither practice

Study for Exam 1, on Tuesday Feb 6! It covers Ch 1, Ch 2.1 and 2.2 and Ch 3.

Topics: simplifying, performing operations on exponents and radicals; same for rational expressions; factoring; completing a square with leading coeff NOT equal to 1; solving equations (quadratic, radical, rational); function domain (interval notation); operations on fcns, esp composition and resulting domain; identifying even, odd fcns by evaluating f(-x) and comparing to f(x); showing a fcn is one to one, long division of polynomials, finding inverse of a fcn.

Key to practice worksheet for Exam 1

WEEK 4

**Mon Feb 5** Study for Exam 1

**Tues-Wed Feb 6-7** Next Unit: Ch 4, Ch 5 and Ch 6

Read Sec 4.1 and 4.2.

View Graphing piecwise functions 1

Domain and range of piecewise functions

*Snow day interruption*

**Fri-Sun Feb 9-11** Do Sec 4.1, which is about basic functions, shifted left, right, up or down, stretched or compressed.

Do Sec 4.1 pp 110-111 #1, 4, 6, 7, 8

View: Graphing transformed functions 1

Graphing transformed functions 2

WEEK 5

**Mon Feb 12** Read Sec 4.2; do pp 111-112 #1a-o, 4, 6, 7, 8.

Study for Tuesday quiz on parent functions and rigid transformations.

**Tues-Wed Feb 13-14** Catch up on any Ch 4 problem sets and videos.

Read Sec 5.1: Understanding important features of polynomials in order to graph them.

View IMPORTANT video:

End behavior, roots and multiplicity of roots to graph a polynomial

Do pp 150-151 #1-7

**Thurs Feb 15** Do p 151 #8, 9.

Read Sec 5.2. View:

Find equation using point-slope form

Parallel and perpendicular lines

**Fri-Sun Feb 16-18** Here is Quiz 5,
Take-home quiz on polynomial graphing

Other business:

I. On Friday we looked again at Sec 5.1, drawing on the fundamental theorem of algebra, that relating to factoring polynomials. We found out how to write the set of *possible* *rational* roots of a polynomial (as opposed to irrational roots like those we often see when we resort to the quadratic formula).

Go back and view Rational root (zeroes) theorem

and examples:

Rational root theorem, example

II. The topic of lines (Sec 5.2) is largely a prerequisite of Math 108, so we don't spend more than a half hour on it all told. The solutions are posted, but again, here again are the videos and problems:

Find equation using point-slope form

Parallel and perpendicular lines

Do Sec 5.2 pp 151-152 #3-6, 8 a b e, 9, 10, 11 a b, 12 a c, 16-18

WEEK 6

**Mon Feb 19**

I. MAKE SURE YOU HAVE DONE enough of SEC 5.2 problems to be able to do a multi-part problem on lines as we did today

II. Read Sec 5.3 (again, about roots of second degree polynomials, i.e., quadratic functions. Solving these is just like what we did in Sec 1.6. Check out My notes on quadratic equations, formula, and meaning of roots

View Using the discriminant to find the number of roots and More using the discriminant

Do p 153 #1, 2, 3

III. Read Sec 6.1. View Graphing a simple rational function

**Tues-Wed Feb 20-21**

I. Catch up on anything you have not finished from Ch 5.

II. Graphing a harder rational function

Do p 188 Sec 6.1 #2, 3

View Slant asymptotes

Read Sec 6.2-6.3; do Sec 6.2 pp 188-189, #3 a-d, 5 a b, 6 all

**Thurs Feb 22** Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.

WEEK 7

**Fri-Mon Feb 23-26** Study for Exam 2, Tues, Feb 27, Chapters 4, 5, 6.

Graphing rational function practice 'quiz' to be desk-checked (not collected) on Monday !

Study for Exam 2, Feb 27.

WEEK 8

**Feb 28-March 8 ** This is the period of both the break and two snow days, so please take note of reading and videos, as well as any problem sets you must stay on top of over the coming weekend.

**Thurs March 8 ** Read Sec 7.1

Go to Videos and view 'Solving quadratic and rational inequalities'

**Fri-Sun March 9-11** Do problems in Sec 7.1 p 215 #1 a-e, f, 2 a-c, e, 3 a-e, 6

Read Sec 7.2. View:

Absolute value equations--Example 1

Absolute value equations--Example 2

Eqns with two abs values, Example 1

Eqns with two abs values, Example 2

Eqns with two abs values, Example 3

WEEK 9

**Mon March 12** Using my notes Solving absolute value equations along with last set of videos:

Do Sec 7.2 p 215 #1, 2, 3, 5 a-h, 7, 8

Read Sec 7.3 and view the videos in conjunction with the reading.

View Overview: Absolute value equations and inequalities

Abs value inequalities Example 1a

**Tues-Wed March 13-14** Heads up: there will be a quiz on Ch 7 and 11 on either Thurs or Fri.

Read Sec 11.1.

View Solving linear systems by elimination method

Do Sec 11.1 #1 a b d, 2 a, 4-6 all parts

**Thurs March 15** Take home quiz handed out today, due tomorrow! The one linked here includes a question 3 b, which I deleted in the handout to fit whole quiz on one page. Tonight's reading and videos are topics on the quiz, so you do need to do this 'open book'.

Read Sec 11.2 (to help you with the quiz!)

View Solving systems of inequalities

Solving (graphing) systems of inequalities

Do Sec 11.2 #2 a d g h

**Fri-Sun March 16-18** Read 10.1

**Mon March 19** Do p 348 Sec 10.1 #1, 2, 3 and first three sections of questions on Solving exp and log equations

Even more practice on first set of questions on p 5 of Alternate text pdf

Read Sec 10.2

View Properties of logarithmic functions

**Tues-Wed March 20-21** Study for short answer quiz based on first three sections of questions on the pdf Solving exp and log equations up through Exercise 6.

See this page for Solutions to "Solving exp and log equations"

Do Sec 10.2 #1, 2, 3 a-g, 4, 7, 9, 10, 11

3 examples of solving exponential equations

Example solving logarithmic equations

Another example solving logarithmic equations

Exponential problems not requiring logarithms

Continue with problems Sec 10.2 #18, 19 a 20 b 21 a b 22, 23

people/mckenzie/math_108_hw.txt · Last modified: 2018/03/20 15:58 by mckenzie

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