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.
fx300ms_image.jpg
Casio fx300MS calculator


Algebra_2.Holt,_Rinehart,_and_Winston.2003.jpg
Textbook:

Algebra 2, Holt, Rinehart and Winston, 2003, ISBN 0-03-066054-8

There is also a 0.25-inch Algebra 2 Practice Workbook, 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.

All assignments will also have a reference link here in the applicable PowerSchool Gradebook daily assignment description.



Unit Topic (may include)
Length
(weeks)
Calendar Dates
(includes days not spent on
the Unit, such as standardized
testing days)
Textbook References
(linked to folder with that sections worksheets)
Relations and Functions
3
January 30 - February 14
February 16 - March 2
§7.4 Solving Polynomial Equations
§7.5 Zeros of Polynomial Functions
Counting Principles and Probability
2
March 5 - March 9March 12 - March 16
March 19 - March 26March 23 - April 10 (April 2-6 Spring Break) .
§10.1 Introduction to Probability
§10.2 Permutations
§10.3 Combinations
§10.4 Using addition with Probability
Statistics
3
April 11 - April 13April 17 - April 27 (PSSA Testing)April 30 - May 4 (4Sight Testing)
§12.1 Measures of Central Tendency
§12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs
§12.3 Box-and-Whisker Plots
Series and Patterns
3
May 7 - May 15May 16 - May 21

§11.1 Sequences And Series
§11.2 Arithmetic Sequences
Rational Functions and Radical Functions
2
May 22 - May 25



§8.1 Inverse, Joint, and Combined Variations
§8.2 Rational Functions and Their Graphs
Trigonometric Functions
3

§14.1 The Law of Sines
§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:
Order
Name
Filename
1
Lesson Opener
LOTrans.pdf
2
Examples (from textbook)
EXTrans.pdf
3
Student Study Guide
STUDY.pdf
4
Reteaching
RETEACH.pdf
5
Practice
PRACTICE.pdf (and PWAK.pdf) .
6
Problem Solving/Critical Thinking
PROBLEM.pdf
7
Quick Warm-Up and Lesson Quiz .
QWTrans.pdf
8
Enrichment (optional)
ENRICH.pdf
If your computer is inside the HOPE Charter School network, then all of the worksheets for all of the chapter sections are available on the \\hcsweb/filesharing HOPE shared network drive.
Outside of the HOPE network, these are available at ___. Links are also provided to chapter sections below, along with specific worksheets.

Date
Concept/Topic
Warm-up
Teacher Notes
Handout(s)
Homework
(due today)
Supportive Artifacts
could be used to learn more and explore this topic)
6/7


Final Exam:
Period 5 - 9:30-10:30
Period 6 - 1045-12:15



6/4


Final Exam:
Period 1 - 9:30-10:30
Period 2 - 1045-12:15



6/1


Review and makeup



5/31


Review and makeup



5/30


Review and makeup



5/29


Review and makeup



5/28


Memorial Day Holiday



5/25
§8.1 Inverse, Joint, and Combined Variations

Quiz:
§8.1 Inverse, Joint, and Combined Variations
§8.1 Inverse, Joint, and Combined Variations


5/24
§8.1 Inverse, Joint, and Combined Variations

§8.1 Inverse, Joint, and Combined Variations
§8.1 Inverse, Joint, and Combined Variations


5/23
§8.1 Inverse, Joint, and Combined Variations

§8.1 Inverse, Joint, and Combined Variations
§8.1 Inverse, Joint, and Combined Variations


5/22


Mr. Bujak out



5/21
§11.2 Arithmetic Sequences

Test:
§11.2 Arithmetic Sequences
§11.2 Arithmetic Sequences packet


5/18
§11.2 Arithmetic Sequences
WU
§11.2 Arithmetic Sequences
§11.2 Arithmetic Sequences packet


5/17
§11.2 Arithmetic Sequences
WU
§11.2 Arithmetic Sequences
Quiz (short)
§11.2 Arithmetic Sequences packet
§11.2
Student Study Guide #2,4
Reteaching #2,3,9

5/16
§11.2 Arithmetic Sequences
WU
§11.2 Arithmetic Sequences
§11.2 Arithmetic Sequences packet


5/15
§11.1
Sequences And Series

Test:
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/14
§11.1
Sequences And Series
WU
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/11
§11.1
Sequences And Series
WU
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/10
§11.1
Sequences And Series
WU
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/9
§11.1
Sequences And Series
WU
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/8
§11.1
Sequences And Series
WU
§11.1 Sequences And Series
§11.1
Sequences And Series packet


5/7
§11.1
Sequences And Series
WU
Periods 1 and 2: Quiz: Combinations and Inequalities
Periods 1,2,,5,6: §11.1 Sequences And Series
§11.1
Sequences And Series packet


5/4
§12.3
Box-and-Whisker Plots

Periods 1 and 2: 4Sight Math, grade 11
Periods 5 and 6: Quiz: Combinations and Inequalities
§12.3
Box-and-Whisker Plots
packet


5/3
§12.3
Box-and-Whisker Plots
WU

§12.3
Box-and-Whisker Plots
packet


5/2
§12.3
Box-and-Whisker Plots
WU
Test:
§12.3 Box-and-Whisker Plots
§12.3
Box-and-Whisker Plots
packet


5/1
§12.3
Box-and-Whisker Plots
WU
§12.3 Box-and-Whisker Plots
§12.3
Box-and-Whisker Plots
packet


4/30
§12.3
Box-and-Whisker Plots
WU
Periods 1 and 2: 4Sight English, grade 11
Periods 5 and 6: §12.3 Box-and-Whisker Plots
§12.3
Box-and-Whisker Plots
packet


4/27
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs

Test:
§12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs
packet


4/26
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs
WU
§12.2 Stem-and-Leaf Plots, Histograms, and Circle Graphs
review
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs
packet
Periods 1 and 2: even-numbered problems from §12.2 packet

4/25


PSSA Testing - Science



4/24


PSSA Testing - Science



4/23

WU
PSSA Testing - Science



4/20
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs
WU
Even-numbered problems from §12.2 packet
§12.2
Stem-and-Leaf Plots, Histograms, and Circle Graphs
packet
Periods 1 and 2: odd-numbered problems from §12.2 packet
Stem and Leaf plots:

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
4/19


PSSA Testing - Writing



4/18


PSSA Testing - Writing



4/17


PSSA Testing - Writing
Mr. Bujak out



4/16


PSSA Testing - Writing
Mr. Bujak out



4/13
§12.1 Measures of Central Tendency

Test:
Measures of Central Tendency
§12.1 Measures of Central Tendency
packet

Mean, Mode, Median:
www.youtube.com/watch?&v=rzhVIRgd8AY#!
4/12
§12.1 Measures of Central Tendency
WU
grouped frequency table
review for test
§12.1 Measures of Central Tendency
packet
§12.1
Student Study Guide #2,4,6

4/11
§12.1 Measures of Central Tendency
WU
mean, mode, media, frequency, frequency distribution, frequency table
§12.1 Measures of Central Tendency
packet

Khan Academy - statistics playlist
www.khanacademy.org/#statistics

Frequency distributiion
www.youtube.com/user/EducatorVids2?v=c08nSwS_Iys
.
4/10
§10.4
Using Addition with Probability

Quiz:
Probability
mutually exclusive events, inclusive events



4/9
START OF QUARTER 4
§10.4
Using Addition with Probabilit.
WU - Mega Millions Lottery Odds
http://mathandmultimedia.
com/2012/04/09/lottery-winners-beat-the-odds/
Review:
§10.4 Using Addition with Probability
Probability
mutually exclusive events, inclusive events
§10.4
Using Addition with Probability


3/30
END OF QUARTER 3

Mr. Bujak out


Khan Academy - probability playlist
www.khanacademy.org/#probability
.
3/29


Mr. Bujak out



3/28
§10.4
Using Addition with Probability

Probability
mutually exclusive events, inclusive events
§10.4
Using Addition with Probability


3/27
§10.4
Using Addition with Probability

Probability
mutually exclusive events, inclusive events
§10.4
Using Addition with Probability


3/26
Test §10.3 Combinations

Test :
§10.3 Combinations
Test


3/23
§10.4 Using Addition with Probability

Probability
mutually exclusive events, inclusive events
§10.4
Using Addition with Probability


3/22
§10.3 Combinations

Combinations
§10.3
Combinations
collection of worksheets


3/21
§10.3 Combinations

Combinations
§10.3
Combinations
collection of worksheets


3/20
§10.3 Combinations

Combinations
§10.3
Combinations
collection of worksheets


3/19
§10.3 Combinations

Combinations
§10.3
Combinations
collection of worksheets - handed out


3/16
Test §10.2 Permutations

Test :
§10.2 Permutations
NOTE: only met periods 5 and 6
NOTE: Periods 1 and 2 are in PSSA testing
Test


3/15
§10.2 Permutations
WU
Permutations
§10.2 Permutations
collection of worksheets
§10.2 Practice #,,,

3/14
§10.2 Permutations
WU
Permutations
§10.2 Permutations
collection of worksheets
§10.2
_
#,,,
PI Day resource:
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/
3/13
§10.2 Permutations
WU
Permutations
§10.2 Permutations
collection of worksheets - handed out

Permutations (start here):
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
3/12
Test: §10.1 Introduction to Probability

Test :
§10.1 Introduction to Probability
NOTE: only met periods 5 and 6
.



3/9
Test: §10.1 Introduction to Probability

Test :
§10.1 Introduction to Probability
NOTE: only met periods 1 and 2
.



3/8
§10.1 Introduction to Probability
WU
Introduction to Probability



3/7
PSSA
WU
PSSA Prep Day
Probability: Fundamental Counting Principle, simple probability
Individual student PSSA Coach workbooks


3/6
§10.1 Introduction to Probability

Introduction to Probability
Independent Practice
§10.1 Student Study Guide worksheet # 1-9
§10.1 Introduction to Probability
collection of worksheets


3/5
§10.1 Introduction to Probability
WU
Introduction to Probability
Probability: Fundamental Counting Principle, simple probability
§10.1 Introduction to Probability
collection of worksheets

Theoretical Probability, Experimental Probability, Fundamental Counting Principle: www.youtube.com/watch?v=J55KLgbt8pI

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
3/2


TEST - Factoring Polynomials

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

Probability Challenge Exercises:
www.mathgoodies.com/lessons/vol6/challenge_vol6.html
3/1

WU
Review


Finding Zeros and Factors of Polynomial Functions:
www.youtube.com/watch?v=xJvrhlqwCr0
2/29
PSSA
WU
PSSA Prep Day
probability: simple univariant statistics: mean, median, mode, stem-leaf plot, box-whiskers plot, quartiles,
Individual student PSSA Coach workbooks

Central tendency (the Mean, Median and Mode) of the data in a distribution.
www.youtube.com/watch?v=Cl_Dq5TiTEg

Box-Whiskers plot:
www.youtube.com/watch?v=635ErzR9Xzc
2/28

WU
Descartes' s Rule of Signs


Descartes' s Rule of Signs,
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
2/27

WU


§7.5 #1,3

2/24


Quiz - Factoring Polynomials

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.
Quiz


2/23
§7.5 Zeros of Polynomial Functions: Rational Root Theorem
WU
scanned teacher class pages from document camera
§7.5 Zeros of Polynomial Functions
collection of worksheets


2/22
PSSA
WU
PSSA Prep Day
Central Tendency
Stem Leaf Plot
Box-Whisker Plot (Quartiles)
Individual student PSSA Coach workbooks

Box-Whisker Plots:
http://openlearn.open.ac.uk/mod/oucontent/view.php?id=398296&section=1.1.1
2/21


NO SCHOOL - emergency day - plumbing



2/20


NO SCHOOL - Presidents' Day



2/17


NO SCHOOL - emergency day - HVAC



2/16
§7.5 Zeros of Polynomial Functions: Rational Root Theorem
WU
www.abettercalculator.com
/c/odbkyw6sf2
scanned teacher class pages from document camera


Rational Root Theorem:
www.youtube.com/watch?v=2WzikHHGaGg

www.youtube.com/watch?v=R7PPA3p8iBg

www.youtube.com/watch?v=vJ2wEZTdz2E
2/15
PSSA
WU
scanned teacher class pages from document camera
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.
Individual student PSSA Coach workbooks
§7.4 Reteaching #9,10
www.youtube.com/watch?v=NBRzvsJ6ros
2/14
§7.4 Solving
Polynomial Equations:
Location Principle
WU
scanned teacher class pages from document camera
§7.4 Solving Polynomial Equations
collection of worksheets
§7.4 Practice #14,16,18
Location Principle:
www.youtube.com/watch?v=KGm3m1Jdfp0

www.youtube.com/watch?v=NGLZq5HlDKI
2/13
§7.4 Solving
Polynomial Equations:
variable substitution
WU
scanned teacher class pages from document camera
§7.4 Solving Polynomial Equations
collection of worksheets
§7.4
Variable Substitution
2/10



PSSA pre-test


2/9



PSSA pre-test


2/8



PSSA pre-test


2/7



Quiz


2/6
§7.4 Solving
Polynomial Equations
WU

§7.4 Solving Polynomial Equations
collection of worksheets
§7.4 Student Study Guide #4

§7.4 Practice #4
Synthetic Division:
www.youtube.com/watch?v=wQ-5oD6lY3E
2/3
§7.4 Solving
Polynomial Equations
WU

§7.4 Solving Polynomial Equations
collection of worksheets


2/2
§7.4 Solving
Polynomial Equations
WU

§7.4 Solving Polynomial Equations
collection of worksheets
§7.4 Student Study Guide #2,6

§7.4 Practice #2,6

2/1


Mr. Bujak out



1/31
§7.4 Solving
Polynomial Equations
WU
scanned teacher class pages from document camera
§7.4 Solving Polynomial Equations
collection of worksheets


1/30
§7.4 Solving
Polynomial Equations
WU
scanned teacher class pages from document camera
§7.4 Solving Polynomial Equations
collection of worksheets

Factoring out GCF:
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=cMs20FmaTm0



Tables:

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