Monday

Topics/Assignments

Wednesday

Topics/Assignments

1/25

Introduction

Course Information

Course Topics: Three General Sections will be Covered

(1) Probability & Statistics; (2) Geometry; (3) Numbers/Number Theory

(1) Random patterns, (2) Spatial patterns, (3) Numerical Patterns

1/27

Probability: Parts 1 & 2

Notes: Part 1

Notes: Part 2

Video: http://www.learner.org/resources/series65.html

View Video 15: What is Probability?

http://www.lifeisastoryproblem.org/probability/index.html

2/1

Probability Part 3:

Notes: Part 3

Video: http://www.learner.org/resources/series65.html

View Video 16: Random Variables

2/3

Assigned in class

 2/8

Statistics Part 1:

Notes: Part 1

Video: http://www.learner.org/resources/series65.html

View Video 1: What is statistics?

2/10

Snow Day

NO CLASS

2/15

Mid-Winter Recess

NO CLASS

2/17

Statistics Part 2:

Notes: Part 2

Video: http://www.learner.org/resources/series65.html

View Video 2: Picturing Distributions

Project: Project

Data Collection Files

Excel: Project Survey

Calc: Project Survey

Getting Open Office/Calc:

http://www.openoffice.org/

http://www.ooomacros.org/user.php

Using Calc

Document: http://education.uregina.ca/technology/ecmp355/Tutorials/OOCalcTutorial.pdf

HTML: http://spreadsheets.about.com/od/otherspreadsheets/ss/080616_24_calc.htm

Video: http://www.skillmotion.com/video/open_office_calc

Video: http://www.skillmotion.com/video/open_office_calc_tutorial2

2/22

Statistics Part 3:

Notes: Part 3

Video: http://www.learner.org/resources/series65.html

View Video 3: Describing Distributions

Due date for Statistics Project Data

2/24

Using Spreadsheets:

Excel: http://home.ubalt.edu/ntsbarsh/excel/excel.htm#rdesstst

Calc: Document: http://education.uregina.ca/technology/ecmp355/Tutorials/OOCalcTutorial.pdf

         HTML: http://spreadsheets.about.com/od/otherspreadsheets/ss/080616_24_calc.htm

         Video: http://www.skillmotion.com/video/open_office_calc

         Video: http://www.skillmotion.com/video/open_office_calc_tutorial2

Project: Project

Data Collection Files

Excel: Project Survey

Calc: Project Survey

3/1

Using Spreadsheets

3/8

3/10

Geometry & Geometric Patterns:

Introduction and Overview

The Importance of Proof

Notes: What is Proof (part 1)?

Notes: What is Proof (part 2)?

3/15

Euclidean Geometry (Part 1)

Notes: Euclidean Geometry

Notes: Lines & Angles

http://www.lifeisastoryproblem.org/explore/index.html

Statistics Project Due

3/17

Euclidean Geometry (Part 2):

Notes: Triangles

Notes: Constructions

3/22

3/24

Geometry & Geometric Patterns:

Euclidean Geometry Cont.:

Flatland

http://en.wikipedia.org/wiki/Flatland

Homework (Due 4/5): Write a 500 word essay on Flatland. What was it about?

3/29

Spring Recess

NO CLASS

3/31

Spring Recess

NO CLASS

4/5

Non-Euclidean Geometry

Mobius Strip & Klein Bottle

http://www.scidiv.bcc.ctc.edu/Math/Mobius.html

http://www.answers.com/topic/klein-bottle

http://www.math.ohio-state.edu/~fiedorow/math655/yale/

3/22 Homework Due

Homework (Due 4/19): Write a 500 word essay on alternatives to Euclidean Geometry. Describe both Non-Euclidean and Fractal Geometry.

4/7

Fractals (Part 1)

http://library.thinkquest.org/26242/full/tutorial/tutorial.html

http://www.math.nus.edu.sg/aslaksen/gem-projects/maa/World_of_Fractal.pdf

http://www.lifeisastoryproblem.org/worksheets/fractals2.pdf

4/12

Fractals (Part 2)

Practice finding dimensions of Fractals: http://math.rice.edu/~lanius/fractals/dim.html

 http://fractals.iut.u-bordeaux1.fr/jpl/dimension_a.html

4/14

Chaos

http://library.thinkquest.org/26242/full/tutorial/tutorial.html

4/19

Review

4/5 Homework Due

4/21

Test 2

4/26

 Numbers and Number Patterns

Pythagoras: All is Number

The man who invented music

http://www.aboutscotland.co.uk/harmony/prop.html

http://www.sourcetext.com/pythagoras/mcclain.html

http://britton.disted.camosun.bc.ca/jbfunpatt.htm

4/28

Number Patterns: Special Numbers

http://www.mathsisfun.com/numberpatterns.html

http://www.mathacademy.com/pr/prime/browse.asp?LT=F&PRE=&submit1=GO&LEV=E&TNT=Y

http://www.stetson.edu/~efriedma/numbers.html

http://home.earthlink.net/~mrob/pub/math/numbers.html

SuDoku

http://puzzles.about.com/library/sudoku/blsudoku_tutorial01.htm

Sequences: Find the Pattern

Special Sequences: Fibonacci

http://www.mathacademy.com/pr/prime/articles/fibonac/

5/3

Number Patterns:

Sequences: Find the Pattern

Special Sequences: Fibonacci

http://www.mathacademy.com/pr/prime/articles/fibonac/

Golden Mean:

http://www.vashti.net/mceinc/golden.htm

http://www.vashti.net/mceinc/store/

http://community.middlebury.edu/~harris/Humanities/TheGoldenMean.html

http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm

4/26 Homework Due

5/5

Number Patterns:

Sequences: Find the Pattern

Special Sequences: Fibonacci

http://www.mathacademy.com/pr/prime/articles/fibonac/

5/10

Modular Arithmetic:

http://www.antilles.k12.vi.us/math/cryptotut/mod_arithmetic.htm

http://www.math.csusb.edu/faculty/susan/modular/modular.html

http://www.math.rutgers.edu/~erowland/modulararithmetic.html

http://www.math.umbc.edu/~campbell/NumbThy/Class/BasicNumbThy.html

http://en.wikibooks.org/wiki/High_School_Mathematics_Extensions/Primes/Modular_Arithmetic

5/12

Modular Arithmetic:

Modular Arithmetic & Cryptography.pdf

5/17

 Review

5/19

 Test 3