Algebra 2AB (Period 2) Assignments

Instructors
Term
2010-2011 School Year
Department
Math
Location
B229
Code
Mest 1/2 10/11
Description
This discipline compliments and expands the mathematical content and concepts of Algebra 1 and Geometry. Students who master Algebra 2 will gain experience with algebraic solutions of various problems including solution of systems of quadratic equations, logarithmic and exponential functions, the binomial theorem, and the complex number system. This class is, specifically, the basis for the study of advanced math concepts and is the prerequisite of Statistics and required to advance to Calculus.

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Past Assignments

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Finals Review
Page 54: 3,7,11,15,19
pg 100: 3,7,13
pg 148: 3,4,7,14
pg 196: 1,2,5,7,11,13
pg 238: 2,4,5,7,10,11,13,14
pg 282: 2,4,5,7,8,10,11
pg 386: 1,2,4,5,7,8,10,11,14,15
pg 426: 1,2,4,5,7,8,10,11,12
pg 514: 1,2,4,5,7,8,10,11,13,14
pg 642: 1,2,3,4,5,6,7,8,9,10,11,12
pg 336: 3,4,5,7,8,9,10,11
This is not an exhaustive list. It is problems you should be able to do. Revise and rework all quizzes and assessments. Look over past homework problems. Look at your problem of the day questions. BE READY FOR ANYTHING!!!

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Continue working on rational expressions. Practice your factoring and foiling. Know your rules for adding, subtracting, multiplying, and dividing.
Page 445: 7-25 odds.

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page 441: 5-23 odds
study for final....start with operators.

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-Monroe High Friday night: playoffs vs Fairfax.
Page 614/615: 6-25 all
Start studying for final.

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We be done with the intro to conics. How does graphing parabolas differ in this section from the qudratics section? What will I expect to merge the two?
Lets recap by simply identifying conics....
page 295: 6-25 All, but ignore the books instructions. Just classify all the conic sections. [Note, you actually have 5 choices, the four conics AND the overlooked underapreciated line.]

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hyperBOLAS (not hyper space which we wish we could jump to and escape the oppresive Math Lord) have a center (doesn't everything), vertices (those sound familar), and ASYMPTOTES (huh?).
Have a shot at hyperbolas: page 320/321: 7-23 odds.
Are you working on Finals Review questions?

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Ellipses...7 points, major and minor axis...can you name the 7 points on/in an ellipse?
practice page 308/309: 7-23 odd and 26,27

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PARABOLAS! Page 302: 6-32 all
Remember, it is a break, not a vacation. STUDY!!!!!

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On to conic sections. Lets start on circles. What is the definition of circles? What is the standard form of their equations? Why does it look like that? What does the distance formula have to do with it?
Practice on page 314: 7-28 all..

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STUDY 4 chapter 11. Know formulas.
Starting Conic Sections. First basis of definitions...
practice midpoints and distance; page 291: 5-19 odd, 21-24 all

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Finish worksheet. Study for Chapter 11 test. Know three formulas by heart: arithmetic series, geometric series, infinite geometric series. How do you expand binomials?

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Work on summation of geometric series. Do page 491: 20-24 without a calculator. Make sure you know how to determine the ratio (r).
Also finish your Pascal's triangle and multiple
(x+1)^2 (x+1)^3 (x+1)^4

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revisions of test ch 8 due.
Also Geometric series: page 491: 6-23
Study vocabulary: recursive, explicit, series, sequences, arithmetic, geometric

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New vocabulary: Series, sequences, summation, Gauss, implicit formulas, recursive formulas, triangular numbers. And this is only section 2!
Page 484-485: 6-23 all

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Return to sequences. Do you understand recursive and implicit formulas?
Try page 479: 17,19,21,23, 25-27, 29

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Test on logarithms, exponential equations, and applications TOMORROW!
Study, study, study!!!!
Know how to graph, rules to expand and simplify, solving by converting from exponential to logarithmic or back, and specific interest formula applications. Chapter review problems are good pactice.
Moving on to chapter 11. Page 479: 7-23 odds.

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page 373/374: 4-15

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solving logarithic and exponential equations:
Page 367/8: 6-13, 18-25

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practice and study logs, base n, 10, and e.
Page 358: 10-25, 28,29
page 363: 10-21

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review chapter 4 FUNctions.
Study notes on LOGarithms.
Practice: page 358: 10-12, 18-20.
ROG due.

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On to logarithms...b^p=N iff log [base b] N = p
Lets try some: page 346: 11-13,
page 352: 6-15, 17,19

Keep studying. All tests and quizzes are cumulative.

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Study for test on chapter 6. Study new vocabulary on exponential functions.
Page 159: 16, 24
Pg: 165: 10,14, 16, 20
pg 170: 6, 10, 22
pg 176: 4, 8, 20
pg 183: 14, 16

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finish chapter 4. KNOW THE PARENT FUNCTIONS BY SIGHT!!!
page 170: 13-24 and page 176/7: 12-22.
Study: how to tell functions, function notation, inverses, graphing parent functions.

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Functions. Function arithmetic. page 165: 7-17.
Quiz today.

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STUDY>>>
We covered Chapter 1 sections 1-5; classifying numbers, solving equations and inequalities, absolute values, and graphing.
Chapter 2 sections 1-3; solving systems algebraically and graphically
Chapter 3 sections 1, 3, 5; basic matrices, determinants, and Cramers Rule.
Chapter 5 sections 1 and 5; exponents and complex (imaginary) numbers
Chapter 6 sections 2-5; solving quadratics
Chapter 9 sections 1-5; solving higher order polynomials using factoring and synthetic division
FINAL is on Wednesday 10/6/10
Remember Wednesday is bright be happy day, Thursday is black so-sad day, and Friday is red end of Mester 1 day.

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Practice synthetic division: page 406: 13-17
Study factoring, especially sum and difference of cubes.
Keep studying for the final (this coming Wednesday).

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Practice all the different methods of factoring. Page 401: 7-29 odds.
Review quadratic equation AND be prepared for a quiz on Monday on graphing.

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Lets practice rules for exponents...
Page 205: 6-25. Study, the quizzes keep on comming.

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Still working on quadratics... QUADRATIC FORMULA.
Let's try it out- page 268: 14-23
Study for Cum quiz; check your notes about lines, absolute values, and systems.

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What are the steps to completing the square? Divide b by 2 and then square result?
Study your perfect squares, study your factor sheet, practice FOILing and factoring.
Practice page 257: 12-24.

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Are we comfortable with the X method to factor quadratics with leading coefficients? Retry problems from last nights homework and try problems 17, 20, and 21 on page 268.

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Study Real numbers and how to simplify them. Know your perfect squares.
Practice FOILing binomials to prepare for factoring.

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Rule 1: SIMPLIFY!!!!
Lets solve quadratics: page 251: 6-23 ALL.
Review your linear equations and methods to achieve a solution.
Hispanic heritage Month essay due Thursday.

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Study, study, study. Graph linear equations, systems of linear equations, and systems of linear inequalities. Can you solve a system algebraically? What is this Cramer's Rule? How is a determinant like an absolute value.
On page 134: 4-12. Solve the sytem algebraically (elimination AND(?) substitution), graph the system, and then practice using Cramers Rule.
Also on page 134 use Cramer's Rule only on 16-21. Practice multiplying, adding, and subtracting integers. Remember, check your even answers by plugging solutions back into equations.
Go beyond the assigned and play. How do we classify triangles?

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Thank (most of) you for bringing your textbooks for the Williams visit and dressing in spirit colors.
But back to work... Lets graph systems of linear equations.
Page page 71: 17-20 and page 76: 8-12.

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TO TURN IN:
Graph and confirm answer by solving algebraically: Page 71: 13-16.
Will be assessed using three Cs rubrik out of 40 points.
Study forms of lines. Quiz Monday on graphing linear equations.
Make sure you do not forget your text for Williams audit. Spirit Dress. You will recieve student led conferencing form on Monday.

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Systems. Solve algebraically and by graphing.
Page 71: 9,10, 13-16, graph 10 and 14.
Study for quiz tomorrow: classifying, solving absolute values, graphing linear equations and inequalities.
New students should get notes from classmates. You are responsible for all topics covered.

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Finish Practice B. Have work ready to turn in.
Study material from Test C.

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Page 27: 5-14
Have notes and work organized. We will be creating ROG in next two days.
Study, study, study....

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Integer and Rational numbers section are due tomorrow on the Four Tab. Remember: rules must clearly understood and easy to follow. Work sample problems first, then determine how to write up the algorithm to complete the operation.

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Students must cover texts and identify any damages.
All students must fill out a factor sheet for the first 100 natural numbers. The factor sheet must be complete, correct, and clean (good presentation).
Remember Math Rule #1: SIMPLIFY!!!

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Come prepared for class. Paper and pencilS are required. Graph paper and colored pencils are highly recommended. Calculators are permitted.
Be ready to dress professionally on Tuesdays.

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Final today. All revisions, all work must be submitted today at beginning of class.

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Study for the final. Have you finished the review worksheet?
Practice new stuff: Page 411: 11,12, 19,20
Books due on Monday at beginning of final.

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Final is fast approaching. Are we studying?
Tonight, some practice factoring: page 401: 6-29 all.

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ROG 2 due. Must be complete, neat, correct, and signed in appropraite spot.
Due at beginning of class period.
Page 221:19, 21, 22 practice with powers and solving equations.
Students can begin turning in textbooks.

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Final lap. Keep working on study guide for final. Review previous work.
For now;
page 166: 22; page 176: 10 determine equation page 177: 22; page 183:22

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page 134: 18,19 Cramer was one interesting guy, to come up with fantastic way to solve equations. And this was in 1750, long before the advent of computers.
Study your matrices. Learn how to do them on your graphing calculator.

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Whew, CSTs are over. Hope we all score big.
Back to the grind... Ler's revisit matrices. We know how to add and subtract, to do scalar multiplication, and how to work Cramer's Rule. Now we need to see matrix multiplication in action. Try page 115: 11, 13 and start reviewing for the final.

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CST Week. Continue to review material. Revise test. Plan on doing the best you can. Become a member of the 400 Herd!!!
Great pages to work are the Standardize Test Practice at the end of each chapter.

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ROG 1 due. Must be signed by parent/guardian.

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CSTs are next week!!! Are you continuing to study to reach that 400?
As we continue with our conic section investigation we are now exploring ellipses. Page 308: 7,9,11,19,21.
Remember ROGs tomorrow.

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Geometry review: midpoints and distance formula. Practice these concepts from page 291. These are questions that could appear on the CST.
The distance formula is the basis for the equations of conic sections. The basic equation of the circle looks just like the pythagorian theorem, and the definition of a circle is in terms of distance. Become familiar with the circle formula by doing page 314: 7, 9, 13, 15, 17.
review CTS (completing the square).
ROG due Wednesday 5/12.

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Study for a quiz on applications using the trigonometric identities and on expanding binomials. Review your homework and notes.
Now on to conic sections: page 326: 4-19, but identify the equations ONLY; do not solve.

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Study for quiz: basic trig identities, radian/degree conversions, basic stats like boxplots, and binomial expansion.
Homework: page 502: 7-25 odd.

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Have you memorized the trigonometric identities? How do you convert radians to degrees? What is the difference between permutations and combinations?
Are U studying?

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Trigon-ometry: the study of three sided figures. Do we remember our Geometry? No? Lots to study: the six trigonometric ratios and what is a radian.
A little book practice- page 523: 6-17, and page 530: 6-13.
Also, revisions on probability and statistics quiz from Friday.

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Remember the AEIOU format to revise tests. Quiz 2 revision due Monday.
Also, work those interior and exterior angles: page 786/787: 1-10, 12-25.
Study area of sectors and length of arcs. Study, study, study.

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Are we ready to stay in school? pretty scary unemployment numbers...
Study your statistics. Know how to do a boxplot. What is a quartile? a decile? a stanine?
Now back to probability; do page 620: 10-25.
Study your vocabulary.

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FIRST HOMEWORK OF MESTER 4!!!!
Page 614/615: 6-23
Remember: show all work; even if you do not fully understand, make an attempt; and all homework must be made up.
Vocabulary notes: median, mode, independent, without replacement, outcomes, events, probability.

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Find the mean, mode, median, and range of
a) 2,6,7,4,2,1,2,3,3
b) 14.6, 15.1, 15.1, 14.6, 15.1, 19.23
c) 14/3, 13/6, 8/3, 5/6, 2 2/3
Also study and, or and probabilities. Quiz tomorrow?

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End of term review:
Page 57: 9-11
Page 103: 6-7
Page 151: 4-6
Page 199: 4-6, 10
Page 241: 1-4
Page 285: 3-6
Also find a die (one of two dice) and find pattern of number arrangement.

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We are almost done with Mester 3. Get your note ORGANIZED. Do not throw them out; you will need them for Mester 4 and CSTs.
Review your notes in preparation for CST review.

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STUDY!!!!!!!!!
FINAL for Alg 2A.
EVERYTHING is on it...linear equations, quadratics, graphing, simplifying, complex numbers, LOGARITHMS... Look at past quizzes.
Fill out Student Led Conference Form.

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Worksheet on logarithms. Study for the test TOMORROW on logarithms.
Know the rules and the common logs. You also need to know powers, especially cubes.

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ROG (17 items for 675 points) is due tomorrow.
Solving logs and exponentials: paage 368: 18-25. Quiz coming...study logs...

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Memorizing the rules for logs or relating them back to the inverse: exponential equations...
practice page 363: 10-21.
ROGs will be due on Wednesday. Enter all quizzes.

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Study your notes on exponents and the rules governing powers. Preview LOGARITHMS!!!

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Remember to bring your book, know where you sit, AND the quadratic equation.

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The last day of Spring Break. Is your ROG up to date? Is your notebook organized? Have you revised all quizzes and studied those questions? Mester 3 Final is coming fast. R u ready?

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April Fools...no fooling: have you memorized the quadratic equation?

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Day Three. Are Mom and Dad letting you rest or are they making you do work? Review how you simplify radicals and imaginary numbers. What does 3i^362 equal?

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Day two of the BREAK. Do you remember the three main ways to SOLVE a quadratic equation? Is it in your notes? What is the connection between solutions and graphing?

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You slept in enjoying the freedom of Spring Break, but don't forget everything.
What is the difference between a linear and quadratic equation? What are the starting points for each type?

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Quadratics lead to an interesting quandry: equations we can not solve. x^2 + 1 = 0!!!!
COMPLEX NUMBERS to the rescue. Yaaaaaa.
Practice with these amazing creatures: page 247: 7-25 odds.
And don't forget your revisions and your studying.

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Study...study...study... the steps for CTS (completing the square) and its offspring- the quadratic folmula.
Do you have any homeworks you need to make up and show Mr. B?

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Now that we have all passed CAHSEE, lets do constructions:
Construct a set of three triangles- 1) acute scalene, 2) obtuse scalene, and 3) right scalene.
Now, duplicate this set using only compass and straight edge. And again so you have three sets of three triangles.
In set 1, construct angle bisectors in each triangle; in set 2, construct medians; and in set 3 construct altitudes.
Next you will need to write a paper about your constructions. Rubric will be passed out in class.

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Into quadratics and University of Akron, home of rubber and Zippee.
First follow the instructions for problems 7-15 (odds) on page 247; but then state what a=, what b=, and what c=. Standard form and identifying the codes.
Next move to problems 17-25 (odds) also on page 247. But only graph 19 and 21! for 17-25 use the ZPP and solve each equation. Yes, you will need to practice your factoring.
Please study FOIL, factoring, simplifying, and graphing.

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Follow-up discussion on graphing quadratics by studying pattern of graphs in equations with y = ax^2 + c form. IE graph y = 3x^2 -4 quickly.
Solving quadratics in form y = ax^2 + c form: do page 251: 7-25 odds. Remember to simplify!!!
Review linear equations. Start noting similarities and differences.

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Page 263: 4-7, 10-17
CAHSEE break
Mr. Mendias Memorial

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Study for CAHSEE
Remember extra credit for 360+ points, for 380+ points, and 400+ points.

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We need to change our clocks (why do we have Daylight Savings anyway?), we need to celebrate Pi Day (Sunday 3/14 at 1:59), and we need to practice our determinants.
Page 120: 17 and page 134: 19

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Systems, Matrices, real Algebra 2....
lets continue practicing finding determinants on page 110: 5-15 odds.

Also, ROG due today SIGNED!!!!!
Keep studying. 10th graders are you prepared? Wednesday is CAHSEE day.

Don't forget Sunday is Pi DAY (3.14 1:59). Celebrate the circular.

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Matrices...Cramer's Rule...System of equations...Yay! Finally Algebra 2.
Let's add and subtract matrices: page 110: 6-13 all.

Remember: Friday 3/12-ROG due, signed!

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Review our introduction to Cramer's rule and matrices.
Go back and do page 76: problems 5, 6,7, 9, 11, 13
Systems of INEQUALITIES must be solved graphically!
Are you studying?

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Review systems of equations, vocabulary, algebraic and graphical representations. Now lets get interesting and do systems of inequalities. Do problems 5-13 all on page 76.
Did you turn in your Student Led Conference form?
Are you dressing professionally onWednesdays?

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Continue practicing graph techniques. Continue studying notes.
Solving systems: Page 71: 5-15 odds. Remember you can check your work by also graphing the system. Use multiple representations on each problem (algebraic, graphic, words, and tables).

Are you maintaining your ROG? Are you revising your quizzes?

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Introduction to systems and vocabulary found on page 62.
Page 65: 9-11.

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What have we learned? Do all the problems on pages 54 and 55. How do you attempt the word problems?
Go back and review your notes on inequalities. How are the "rules" to get a solution different that those of equations?
Is your 4 tab complete and available?
What does it mean to solve?
What IS an absolute value?

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RELOAD:
Lets go back and review the elements of linear equations. Do problems 5-24 (all) on page 27.

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Notes on linear equations. Study, study, and experiment.
Don't forget to keep rereading notes from the beginning of class. Rework problems given for homework and on quizzes. Algebra 2 is CUMULATIVE!
Is your ROG ready?

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Finish studying notes on single variable equations and graphing on a number line.
Do problems 11 and 16 on page 34.

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We begin our review of linear equations (and inequalities) with an informal look. Use TABLES to GRAPH numbers 11 and 16 on page 34.
Remember there are four representations for each math problem: in words, in tables, algebraic models, and graphs.
Have you been revising all your quizzes? Are your MAGIC PAPERS complete, correct, organized, and at the ready?

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Do you understand difference between "and" and "or" and the mathematical implications?
Study absolute values.
Do odd problems from 17 thru 25 on page 21.

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What is absolute value? A distance!
Do odd problems 7-15 on page 21. Rember step 5 of problem solving: check your answers.

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Your ROG (record of grades) should have been created. Make sure to keep it updated.
Do problems 18-25 and 27 and 29 on page 15.
Make sure to identify clue words.

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What does it mean to solve? Isolate the variable!
What is the special rule for equations? Do whatever you want, as long as you do it to both sides.
Do odd problems 7-17 on page 14.

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Notebook should be set up with dividers. Magic papers should be grouped ready to use. Calculator should haave been purchased if you plan to use one. Daily syudy scheduole should have been established. Class rules and grading scale shared with your parents.
Do you have a specific vocabulary list?
What is the difference between an expression, an equation, and an inequality? What are the rules or guidelines that apply to each?

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4 tab should be completely revised. Table of squares should be completed and filed with magic papers.
Order of operations must be able to be applied to ALL number sets: Natural, Whole, Integers, Rational, and Real numbers.
Are you studying DAILY to be able to classify any number into its appropriate Number Sets?

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Four Tabs on operators should have been revised.
All students should have notebooks with necessary dividers: 1) magic papers and summary notes, 2) notes and classwork, 3) homework, and 4) assessment.

First ROG check will be this Friday 2/12.
First notebook check will be Friday 2/19.

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Students should have first "magic" paper: the Factor Sheet. Sheet should be complete, neat, and correct.
Students will need to have textbooks covered at all times. Students should make sure they have a book cover available.

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Students should come prepared for class.

Algebra will require paper and pencil and a ruler. Graph paper is highly desirable. Colored pencils are strongly recommended. Calculators will be allowed for most work.

Geometry students are expected to have paper and pencils, a compass, a protractor, and a ruler that measures both inches and cm. Colored pencils and graph paper are strongly recommended. Calculators will only be allowed on a limited basis.

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ROG

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Extra Practice 6.4 Solving Quadratic Equartions by Factoring