Continuous vs. Discrete: A fascinating discussion!

Dearest Algebraticians,

As you will find increasingly as you progress in your studies, mathematicians love to debate many of the fundamental structures in the vast field called mathematics. Check out the link below... the answer (fairly high level but I think you can follow it) is in response to the very simple question."Doh! Should we connect the dots or not?"

I think the discussion ends up where we did in class. It is important that you recognize the ISSUE of continuity and discreteness. In some cases discrete data will be graphed as continuous, simply because it makes for a better visual, especially if many discrete points (e.e. our game attendance problems) are involved. The converse is never true, it would never make sense to graph continuous data as if it were discrete - this would be misleading and, in fact, inaccurate, since many points that are solutions are being excluded from the graph.

Check it out:

http://mathforum.org/library/drmath/view/54454.html


If you enjoy this discussion, you are beginning to blossom as a true math nerd!

hw #5-2 The Line FORMS Here!

1) Problem Set 5A
2) pg 310  #7-27 Odd

hw #5-1 Slope Slidin' Away!

hw #5-1
pg 296 #1-35 Odd

hw #4-8 UNIT TEST REVIEW :) :)

Can you do the problems in the Chapter Review and the Chapter Test?

Then you will do well on the Unit Test!!

hw #4-7 Patterns, Sequences, Numbers, Numbers, and More Numbers

pg 277-279
#13-23 Odd
#31-43 Odd
#49-53 Odd

hw #4-6 Home on the Range

pg 271-273
#6-39 Mult of 3

hw #4-5 Writing Function Rules for Fun & Profit

... well, maybe it's not that much fun and, well, I guess you're not going to make any money at it either, uh, oh well, it's kinda like an impossible bonus problem, I guess. Well, at any rate, ENJOY!... or at least make the best of it...

hw #4-5
pg 266-67
#24-32 All
#37-51 Odd

hw #4-4 Are you ready for the QUIZ?!

hw #4-4
pg 252  #1-11
pg 282-283 #6-12 EVEN
pg 257 #9-14 ALL

Quiz is on section 4-1 thru 4-3

hw #4-3 Non-linear functions

pg 249-251
#1-25 Odd

hw #4-2 Graphs, Graphs, and more Graphs

The best way to learn graphing is to make graphs, and make mistakes along the way.  To minimize mistakes, try keeping scrap paper handy to quickly sketch and checking your scaling.

hw #4-2
pg 243-245 #1-13 ALL, 15-18 ALL

hw #4-1 Functions Are FUN!!

hw #4-1
1) Read pps 234-236
2) pg 237-239 #1-27 All
Critique the answer for #13 in the Text Book Answer Key (I don't like it)
Make ONE CHANGE to the graph to improve it!

hw #3-7 Unit Review

ARE YOU READY FOR THE TEST??

hw #3-6 FUN with SETS... Unions, Intersections, and more!

hw #3-6
pg 218-219 #10-21 ALL
                   #23-29 Odd
pg 220 #49-63 ALL

You should be looking at pg 223-226 #1-61 ALL in preparation for the UNIT TEST on Thursday...

hw #3-5 Abs Val Inequalities

pg 211 #33-59 Odd
pg 213 #83-97 Odd

hw #3-4 Compound Inequalities & AbsVal Equations

hw #3-4
pg 204-05 #6-36 MULTIPLES of 3
pg 210-11 #1-25 ODD

hw #3-3 Set Terminology

What better way to improve your vocabulary than through ALGEBRA??

Read pgs 194-96
pg 197-98 #6-48 Multiples of 3

hw #3-2 Solving Multi-Step Inequalities... QUIZ ON MONDAY!!

... AND you need to be able to recognize IDENTITY and NO SOLUTION problems.

The QUIZ is on sections 3-1 thru 3-4.

pg 190-91 #15-43 ODD, #44-46


OPTIONAL - SUGGESTED HW
pg 193 Mid-Chapter Quiz

What does OPTIONAL - SUGGESTED mean?  It means at the very least you need to look at these problems.  If they all resemble hw problems that you've done before and you understand them completely, congratulations, you're getting an "A" on the quiz.  If you're not sure how to attack a given problem (or two or three), give me a holler on the blog and let's see if we can work it out.

hw #3-1 Inequalities

hw #2-8 Are YOU ready for the Unit Test?

hw #2-8
pg 134-35 #7-17 ODD, #19-21 ALL
pg 153-155 #1-55 Odd

The UNIT 2 TEST (aka "ODE TO A BIG FAT ONE" will cover sections 2-1 thru 2-8; SKIP 2-9 & 2-10

hw #2-7

pg 121 #9-39 Mult of 3
pg 127-28 #9-39 Mult of 3

Algebra Toolkit

OK, now is the time... we are going to whip our ALGEBRA TOOLKIT into shape!

Don't do any updating of your toolkit book just yet... I would like each of you to review the text book thru chapters 1 and 2 up to where we are now.  Then I want you to list on a separate sheet of paper the definitions, properties and examples that should be a part of our toolkit. ACTUALLY, I WOULD LIKE YOU TO POST THE LIST TO THIS BLOG. I expect that this toolkit will be useful to you when you take geometry next year AND when you take algebra2 in high school.

SO, post your suggestions here on the blog!!

Make sure you understand the homework from last class (literal equations) or you better be asking some questions!

hw #2-5 Literal Equations!

LET'S GET COOKIN!!

hw #2-4 Are you ready for the quiz??

hw #2-3

pg 97-98 #22-34 EVEN
pg 105 #10-18 ALL

hw #2-2

hw#2-2: Due Weds Oct 6
pg 97-98 #9-20 ALL, 21-29 Odd

UNIT 1 TEST PREP

GOTSK QUESTIONS??

You should be reviewing the questions on pages 68-73 (excepting section 1-8). ANY QUESTION from these pages is FAIR GAME for the test... ca-peesh??

hw #2-1

hw #2-1
pg 91 #11-18

hw #1-7

hw #1-7
pg 64 #8-22, #26-28
pg 69 #1-74 multiples of 3

hw #1-6 Distributive Property

pg 50 #9-24, #33-40

I should have a few questions from the peanut gallery on this assignment!

hw #1-5 Distrbutive Property

We haven't finished our deep dive into this topic... I'm expecting that you may be a little muddy at this point.  Give the worksheet a try and ask some questions.

hw #1-3 and #1-4

Questions before the QUIZ?

hw #1-2

Let's get RATIONAL!  Read the text and see if you still have questions... then ask 'em here!

hw #1-1

We didn't cover this material directly in class.  I am expecting that MOST of this assignment is review for you.  Have some questions?  Read the text and ask questions here on the blog!

GOTSK any questions on postives and negatives? I'd love to hear 'em!!

Any questions on the summer packet? Ask 'em here!