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## Algebra 2B - Spring 2012

## Mr. Bujak

In an effort to be totally transparent and to support students 24/7/365.25, this volunteer-maintained and optional area is meant to be a collection of resources during the Spring 2012 semester "Algebra 2B" 0.5 credit course at Hope Charter High School. Applicable resources are also posted with each assessment in Power School Gradebook.

Algebra 2B Syllabus

Algebra 2A Syllabus (PREVIOUS SEMESTER)

We have a class set of Casio fx300MS calculators - manual.

Textbook:

Algebra 2, Holt, Rinehart and Winston, 2003, ISBN 0-03-066054-8There is also a 0.25-inch

, ISBN 0-03-054084-4, with "Practice" worksheets. Worksheets will be provided to the students contemporaneously. These are provided below as links as are other appropriate worksheets and other resources for that concept/topic; including, but not limited to Warm-Ups, PowerPoint slides, scanned teacher notes generated during class, short videos, supporting Websites, etc.Algebra 2 Practice WorkbookAll assignments will also have a reference link here in the applicable PowerSchool Gradebook daily assignment description.

(weeks)

(includes days not spent on

the Unit, such as standardized

testing days)

(linked to folder with that sections worksheets)

February 16 - March 2

§7.5 Zeros of Polynomial Functions

March 19 - March 26March 23 - April 10 (April 2-6 Spring Break) .

§10.2 Permutations

§10.3 Combinations

§10.4 Using addition with Probability

§12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs

§12.3 Box-and-Whisker Plots

§11.2 Arithmetic Sequences

§8.2 Rational Functions and Their Graphs

§14.2 The Law of Cosines

§14.3 Fundamental Trigonometric Identities

§14.6 Solving Trigonometric Equations

Each section, such as §7.4 Solving Polynomial Equations, will start with a worksheet packet provided to each student to use throughout that section, inside and outside the class.

The typical packet arrangement including all answers will be:

Outside of the HOPE network, these are available at ___. Links are also provided to chapter sections below, along with specific worksheets.

(due today)

could be used to learn more and explore this

topic)Period 5 - 9:30-10:30

Period 6 - 1045-12:15

Period 1 - 9:30-10:30

Period 2 - 1045-12:15

§8.1 Inverse, Joint, and Combined Variations

§11.2 Arithmetic Sequences

Quiz (short)

Student Study Guide #2,4

Reteaching #2,3,9

Sequences And Series

§11.1 Sequences And Series

Sequences And Series packet

Sequences And Series

Sequences And Series packet

Sequences And Series

Sequences And Series packet

Sequences And Series

Sequences And Series packet

Sequences And Series

Sequences And Series packet

Sequences And Series

Sequences And Series packet

Sequences And Series

Periods 1,2,,5,6: §11.1 Sequences And Series

Sequences And Series packet

Box-and-Whisker Plots

Periods 5 and 6: Quiz: Combinations and Inequalities

Box-and-Whisker Plots

packet

Box-and-Whisker Plots

Box-and-Whisker Plots

packet

Box-and-Whisker Plots

§12.3 Box-and-Whisker Plots

Box-and-Whisker Plots

packet

Box-and-Whisker Plots

Box-and-Whisker Plots

packet

Box-and-Whisker Plots

Periods 5 and 6: §12.3 Box-and-Whisker Plots

Box-and-Whisker Plots

packet

Stem-and-Leaf Plots, Histograms, and Circle Graphs

§12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs

Stem-and-Leaf Plots, Histograms, and Circle Graphs

packet

Stem-and-Leaf Plots, Histograms, and Circle Graphs

review

Stem-and-Leaf Plots, Histograms, and Circle Graphs

packet

Stem-and-Leaf Plots, Histograms, and Circle Graphs

Stem-and-Leaf Plots, Histograms, and Circle Graphs

packet

Interactive Stem and Leaf Plotter:

www.shodor.org/interactivate/activities/StemAndLeafPlotter

Interactive histogram:

www.shodor.org/interactivate/activities/Histogram

Constructing circle graphs:

http://cstl.syr.edu/fipse/tabbar/bldcirc/buildcir.htm

Interactive circle graph:

www.shodor.org/interactivate/activities/CircleGraph

Mr. Bujak out

Mr. Bujak out

Measures of Central Tendency

packet

www.youtube.com/watch?&v=rzhVIRgd8AY#!

review for test

packet

Student Study Guide #2,4,6

packet

www.khanacademy.org/#statistics

Frequency distributiion

www.youtube.com/user/EducatorVids2?v=c08nSwS_Iys

.

Using Addition with Probability

Probability

mutually exclusive events, inclusive events

START OF QUARTER 4§10.4

Using Addition with Probabilit.

http://mathandmultimedia.

com/2012/04/09/lottery-winners-beat-the-odds/

§10.4 Using Addition with Probability

Probability

mutually exclusive events, inclusive events

Using Addition with Probability

END OF QUARTER 3www.khanacademy.org/#probability

.

Using Addition with Probability

mutually exclusive events, inclusive events

Using Addition with Probability

Using Addition with Probability

mutually exclusive events, inclusive events

Using Addition with Probability

§10.3 Combinations

mutually exclusive events, inclusive events

Using Addition with Probability

Combinations

collection of worksheets

Combinations

collection of worksheets

Combinations

collection of worksheets

Combinations

collection of worksheets - handed out

§10.2 Permutations

NOTE: only met periods 5 and 6

NOTE: Periods 1 and 2 are in PSSA testing

collection of worksheets

,,,collection of worksheets

_

#,,,www.angio.net/pi/piquery

PI is (still) wrong:

www.youtube.com/watch?v=jG7vhMMXagQ

PI songs:

www.freetech4teachers.com/2012/03/two-fun-videos-for-pi-day.html

Do the Digits of Pi Encode Shakespeare’s Plays? (Vi Hart):

http://letsplaymath.net/2012/03/14/do-the-digits-of-pi-encode-shakespeares-plays/

collection of worksheets - handed out

http://brightstorm.com/math/precalculus/topics-in-discrete-math/permutations

Ex 1:

www.brightstorm.com/math/algebra-2/combinatorics/permutations-problem-1

Ex 2 (distinct permutations):

www.brightstorm.com/math/algebra-2/combinatorics/permutations-problem-2

Ex 3:

www.brightstorm.com/math/algebra-2/combinatorics/permutations-problem-3

Ex 4:

www.brightstorm.com/math/algebra-2/combinatorics/permutations-problem-4

Circular Permutations:

http://mathandmultimedia.com/2012/04/22/circular-permutations

Probability with Permutations and Combinations:

www.youtube.com/watch?v=vFHOQ9e3D-Y

§10.1 Introduction to Probability

NOTE: only met periods 5 and 6

.

§10.1 Introduction to Probability

NOTE: only met periods 1 and 2

.

Probability: Fundamental Counting Principle, simple probability

Independent Practice

§10.1 Student Study Guide worksheet # 1-9

collection of worksheets

Probability: Fundamental Counting Principle, simple probability

collection of worksheets

Tree Diagram and Fundamental Counting Principle:

http://brightstorm.com/math/precalculus/topics-in-discrete-math/fundamental-counting-principal/

Experimental Probability:

www.youtube.com/watch?v=or_XJRFnfuk

Probability worksheet:

www.mathgoodies.com/lessons/vol6/challenge_vol6.html

Theoretical probability (sum of 2 die):

www.mathgoodies.com/worksheets/pdf/unit6_wks3.pdf

Factoring, Rational Remainder Theorem, Descartes' Rule of Signs, roots, zeros, application of Remainder Theorem, synthetic division, quadratic formula.

www.mathgoodies.com/lessons/vol6/challenge_vol6.html

www.youtube.com/watch?v=xJvrhlqwCr0

probability: simple univariant statistics: mean, median, mode, stem-leaf plot, box-whiskers plot, quartiles,

www.youtube.com/watch?v=Cl_Dq5TiTEg

Box-Whiskers plot:

www.youtube.com/watch?v=635ErzR9Xzc

Rational Root Theorem,

Synthetic Division:

http://teachertube.com/viewVideo.php?video_id=55588&title=Math_1650_Quiz_05_Key

www.youtube.com/watch?v=6RCkdI4mac0

Factoring, Rational Remainder Theorem, quadratic, roots, zeros, graph interpretation (order/degrees of 3,4,5), application of Remainder Theorem, synthetic division, quadratic ac method (a=1), quadratic ac method (a!=1) with box method , ac method (a!=1) with decomposition/grouping.

collection of worksheets

Central Tendency

Stem Leaf Plot

Box-Whisker Plot (Quartiles)

http://openlearn.open.ac.uk/mod/oucontent/view.php?id=398296§ion=1.1.1

www.abettercalculator.com

/c/odbkyw6sf2

www.youtube.com/watch?v=2WzikHHGaGg

www.youtube.com/watch?v=R7PPA3p8iBg

www.youtube.com/watch?v=vJ2wEZTdz2E

demonstration of technology applied to the Warm-Up problem: TI-84 PlySmlt App, TI-SmartView TI-84 Plus emulator software, TI-Nspire CAS Teacher Software, Wolfram Mathematica, Desmos.

PSSA Prep Day - hand out individual student workbooks, label books, review goals/objectives, schedule, procedures.

Polynomial Equations:

Location Principle

collection of worksheets

www.youtube.com/watch?v=KGm3m1Jdfp0

www.youtube.com/watch?v=NGLZq5HlDKI

Polynomial Equations:

variable substitution

collection of worksheets

Polynomial Equations

collection of worksheets

§7.4 Practice #4

www.youtube.com/watch?v=wQ-5oD6lY3E

Polynomial Equations

collection of worksheets

Polynomial Equations

collection of worksheets

§7.4 Practice #2,6

Polynomial Equations

collection of worksheets

Polynomial Equations

collection of worksheets

www.khanacademy.org/video/polynomial-equations-in-factored-form?topic=worked-examples-2

General Quadratic factoring hints -

www.youtube.com/watch?v=ZQ-NRsWhOGI

Factoring polynomials (common factor, grouping)

www.youtube.com/watch?v=HinoXYey2n4

Factoring trinomial (quadratic) techniques:

Factoring by Decomposition/Grouping -

www.youtube.com/watch?v=RoeNm4LF9YQ

www.youtube.com/watch?v=BocjEiNX4Cs

Box Method -

Ex 1 - www.youtube.com/watch?v=uJCZlbzX6u0

Ex 2: - www.youtube.com/watch?v=ljAq4RDJtt8

Ex 3 - www.youtube.com/watch?v=YFf7oDJp1pQ

Ex 4 - www.youtube.com/watch?v=-0_2gB9ReLU

Ex 5 - www.youtube.com/watch?v=Wfnwbx8hUTg

Ex 6 - www.youtube.com/watch?v=XlnTshUp35A

Ex 7 - www.youtube.com/watch?v=_87UHqwMjb4

Berry Method (not shown in class) -

www.youtube.com/watch?v=R3PFOPZJP5o

Completing the Square (not shown in class) -

www.youtube.com/watch?v=E7sry2T4ovQ

www.youtube.com/watch?v=xGOQYTo9AKY

Using Quadratic Formula (not shown in class, yet) -

www.youtube.com/watch?v=kuimoHMleug

Factoring cubic - grouping, Difference of perfect squares -

www.youtube.com/watch?v=KqHH9Gon_k8

## • Math Videos Teaching/Learning sources:

## • Math Videos Teaching/Learning sources:

## • Future artifacts:

Combinations: http://brightstorm.com/math/precalculus/topics-in-discrete-math/combinations

Combinations vs Permutations: http://brightstorm.com/math/precalculus/topics-in-discrete-math/combinations-vs-permutations

Algebra 2 - Graphing Rational Expressions, Part 2Here is the second installment on graphing rational expressions! This is part 2 of 2, covering vertical asymptotes, horizontal asymptotes, holes in the graph (point discontinuity), and factoring before graphing. Part 1 introduces horizontal asymptotes and graphs several examples.

Graphing a Rational Function, Example 1: www.youtube.com/watch?v=hWjMovgqvi4

Graphing a Rational Function, Example 3: www.youtube.com/watch?v=JGFSEj-oxq4

Graphing a Rational Function, Harder Example: www.youtube.com/watch?v=IbsLYHzKoH0

Geometric Series: http://en.wikipedia.org/wiki/Geometric_series

Record: toilet paper folded 13 times : www.newscientist.com/blogs/nstv/2012/01/paper-folding-limits-pushed.html

It's geometric (well if folding in half):

0 folds --> 2^0 --> 1 layers

1 folds --> 2^1 --> 2 layers

2 folds --> 2^2 --> 4 layers

...13 folds --> 2^13 --> 8192 layers...but these guys cheated cause they tapped successive rolls together.

Geometric Series (musical scales) - www.mathman.biz/html/piano.html

Frequency -

This is a really cool lesson:

http://mathsclass.net/comments/worlds-fastest-clapper/

Watch video, then he uses audacity to count the peaks!

SOHCAHTOA: www.youtube.com/watch?v=afgGb_5ilmo

multi-step SOHCAHTOA - Example 1: www.youtube.com/watch?v=LN0cGDyyH7k

multi-step SOHCAHTOA - Example 2: www.youtube.com/watch?v=Nk0lRcSlNrc

multi-step SOHCAHTOA - Example 3: www.youtube.com/watch?v=F77ZQLveGao

multi-step SOHCAHTOA - Example 4: www.youtube.com/watch?v=mS4Cijf0WRM

Trig problem with all 5 formulas - Example 2: www.youtube.com/watch?v=G-CnZBGBBI4

Solving Trig Equations: www.youtube.com/watch?v=IWeuFrtwXkY

Law of Cosines (2 Step): www.youtube.com/watch?v=7-SSWEPaxhY

Law of Cosines: www.youtube.com/watch?v=WRsAQpFoEg0

Trig Identities:

http://www.youtube.com/watch?v=HjIwEh9lh78

Bias in Basic statistics: www.youtube.com/watch?v=5K1Hg-pSY1A

Mean of Data Grouped into

[[#|Classes]]: www.youtube.com/watch?v=cMs20FmaTm0Tables:1. Modulo arithmetic www.cut-the-knot.org/Curriculum/Algebra/Modulo.shtml2. MinMax theorem www.cut-the-knot.org/Curriculum/Algebra/MinMax.shtml3. Calendar magic www.cut-the-knot.org/SimpleGames/Calendar.shtml4. Arithmetic magic matrix www.cut-the-knot.org/Curriculum/Arithmetic/ArithmeticMagicMatrix.shtml5. Gergonne magic trick www.cut-the-knot.org/Curriculum/Magic/GergonneMagic.shtml6. Magic in Square www.cut-the-knot.org/Curriculum/Magic/MagicInSquare.shtml7. Filling an array with 0s and 1s and counting www.cut-the-knot.org/Curriculum/Algebra/Numbers01.shtml

Grids:1. Affirmative action www.cut-the-knot.org/Curriculum/Combinatorics/AffirmativeAction.shtml

2. Pick's Theorem, Geoboard www.cut-the-knot.org/Curriculum/Geometry/Geoboard.shtml

3. Ballot Lemma www.cut-the-knot.org/Curriculum/Combinatorics/BallotLemma.shtml

4. Fill hexagonal grid www.cut-the-knot.org/ctk/PlayHexDesign.shtml

5. Framer and Wife to catch Rooster and Hen www.cut-the-knot.org/SimpleGames/RFWH.shtml

6. Getting a scout out of desert www.cut-the-knot.org/Curriculum/Games/ReverseDesert.shtml

7. Sending scouts into a desert www.cut-the-knot.org/Curriculum/Games/CheckerJumping.shtml

8. Skyscrapers puzzle ww.cut-the-knot.org/Curriculum/Games/Skyscrapers.shtml

9. Toads and Frogs in 2d www.cut-the-knot.org/SimpleGames/FrogsAndToads2d.shtml

10. Wythoff's Nim www.cut-the-knot.org/Curriculum/Algebra/Wythoff.shtml

11. The Game of Life www.cut-the-knot.org/Curriculum/Combinatorics/Life.shtml

12. Four pegs that form a square www.cut-the-knot.org/Curriculum/Algebra/FourPegs.shtml

13. The Rascal Triangle www.cut-the-knot.org/arithmetic/algebra/RascalTriangle.shtml

14. Treasure hunt in a square grid www.cut-the-knot.org/Curriculum/Arithmetic/CityBlockHunt.shtml

15. Moving chips in pairs down a checkerboard www.cut-the-knot.org/Curriculum/Arithmetic/MovingInpairs.shtml

16. Plainim www.cut-the-knot.org/Curriculum/Games/Plainim.shtml

17. Latin squares www.cut-the-knot.org/Curriculum/Algebra/Latin.shtml

18. Equations of a straight line www.cut-the-knot.org/Curriculum/Calculus/StraightLine.shtml

19. All Peano curves www.cut-the-knot.org/Curriculum/Geometry/PeanoComplete.shtml

20. Rectangle on a chessboard www.cut-the-knot.org/Curriculum/Algebra/IntegerRectangle.shtml