Math Links for DVC Students and Faculty

Organized according to the math classes offered at Diablo Valley College



General Math Sites

    KEY:
  •  
  • V = Video(s)   

Teaching Sites

MathsIsFun
Coolmath
PurpleMath
V KhanAcademy
V MathTV

DVC Faculty - Math Websites and Videos

Dan Bach: dansmath.com (lots of fun stuff)
Karen Edwards: Home page (includes links to videos for Math 75, 110, 120, 192, 292)
Patty Leitner: Patty's Calculus Videos
Tina Levy: AlgebraMadeSimple and CalculusMadeEasier
Leslie Month: Home page (handouts for many classes)
Cheryl Wilcox: Free PreAlgebra (An open-source PreAlgebra textbook)

Tutoring Resources

DVC Math Lab
MathNerds
The Math Forum - Ask Dr. Math

Calculators

Basic calculator-1.com
Basic printcalc
Basic CLIPS basic calculator
 
Scientific picalc
Scientific Web2.0Calc
Scientific CLIPS scientific calculator
 
Graphing Desmos
Graphing Graphing Calculator
Graphing bcalc
Graphing Meta-calculator (also does matrices and statistics)
Graphing Equation Explorer
Graphing CLIPS graphing calculator
Graphing WebGraphing.com
 
Everything WolframAlpha


Math 75 (Prealgebra)

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

Short Review of Arithmetic

I Coolmath - Times Tables
I MathsIsFun - Multiplication Practice
V MathTV - Place Value (Select Basic Mathematics > Whole Numbers > Place Value and Names for Numbers.)
V KhanAcademy - Basic regrouping or borrowing
Purplemath - Rounding
Wilcox Free PreAlgebra - Rounding (page 4) and Learning Styles (page 3)

Estimation and Large Numbers

ADI Running the Numbers art project (Silverlight required)

Geometry and Measurement - Length, Perimeter, Area

V YouTube - Metric & Standard Measurement Systems
A The Walking Purchase
A Mars Probe Lost Due to Simple Math Error
A Metric Math Mistake Muffed Mars Meterology Mission
The Smoot
V YouTube - Perimeter Song
I Shape Surveyor Geometry Game
I MathPlayground - Finding the Area and Perimeter of Rectangles
The MegaPenny Project

Exponents and Order of Operations

Coolmath - Exponents
I Doing Dishes
I The Scale of the Universe 2
Coolmath - Order of Operations
MathsIsFun - PEMDAS
History of Operation Symbols and Order of Operations

Variables and Formulas

I Perimeter and Area
Basic Math Formulas
A Application of Formulas - Hydraulic Systems
A Application of Formulas - Welding
A Application of Formulas - Electrical
A Application of Formulas - Physics (Motion)
H Algebra t-shirt

Prime Numbers and Prime Factorizations

HV YouTube - short clip from the movie Contact (or longer clip)
V YouTube - Sieve of Eratosthenes, UCLA
I Eratosthenes' Sieve
Random "Small" Primes
I CalculatorSoup Prime Factors Calculator
I Had To Know's Prime Number Calculator
I Javascripter.net's Prime Factors Calculator

Fractions - Intro, Equivalent Fractions and Reducing

A Fraction Funny (page 12)
I Illuminations - Equivalent Fractions
I Fraction Games
I Spiral of Prime Factorizations
H MathFail - Dividing by Zero

Fractions - Improper Fractions and Mixed Numbers

V YouTube - How to read a tape measure
I The Ruler Game
H 3 out of 2 people
Make your own 1952 Fraction-of-an-Inch Adding Machine
IL IXL - Mixed number review
IL IXL - Convert between improper fractions and mixed numbers
I Illuminations - Fraction Models

Simplifying Expressions

Purplemath - Variables
I BBC Bitesize - Introduction to formulas
IL IXL - Simplify variable expressions using properties
IL IXL - Distributive property

Solving Equations

One-step equations
I One-step equations quiz
V Karen's Math 110 Videos - Solving Linear Equations with a Balance Scale (Watch from 11:00 - 14:20)
I Modeling Addition and Subtraction Equations
I Modeling Multiplication and Division Equations
HV YouTube - Kirby and the Love Equation

Word Problems and Formulas

A Application - Food Plot Acreage Calculator
NY Times - Problems on the Street, Solvable with a Pencil
A Application - Dosage by Weight
A Application - IV Rate
A Application - How to calculate drug dosage accurately (advice for nurses)

Geometry - Triangles

I Perimeter and Area
I Illuminations - Area Tool
V YouTube - Area of a Triangle
V YouTube - How to Find the Area of Geometric Shapes
IL IXL - Area of Triangles
IL IXL - Perimeter

Negative Numbers - Intro, Add, Sub, Mult, Div

The History of Negative Numbers
A Application - Lift Buttons
A Application - Thermometers
A Application - Elevation Map (8th photo down)
Cool Cash Card Confusion
I Game - Space Race
I Game - Number Balls
I Game - Speedboats
I Game - Integer Football
I Game - Integer Driving Test
I Game - Casey Runner
Models for Adding and Subtracting Positive and Negative Numbers
Coolmath - Signed Numbers
V Derek Owens - The Distributive Property, Part 1 (example with negative number at 5:05)
V Derek Owens - Distributing a Negative Sign
V YouTube - Less Than Zero
V YouTube - The Rappin' Mathematician: "The Number Line Dance"

Negative Numbers - Formulas, Expressions, Equations

IL IXL - Identify terms, coefficients, and monomials
IL IXL - Add and subtract like terms
I Flashy Maths - Equation practice
I Math Playground - Algebra Balance Scales
I MathsIsFun - Algebra Balance Scales

Fractions - Mult, Div

I Falling Numbers
I Fractions Mystery Picture Game
I No Matter What Shape Your Fractions Are In (using Pattern Blocks)
Models for the Multiplication and Division of Fractions
I Models for the Multiplication and Division of Fractions - Try It Yourself
I Models for Multiplying Fractions - More practice
V YouTube - Dividing Fractions by Fractions
V Video - Multiply Fractions by Fractions
V Video - By The Numbers - Using More Math in Cooking
MathsIsFun - Dividing Fractions
I Braining Camp - Fraction Division (Interactive)

Fractions - LCD, Add, Sub

More Fun Fractions
Drawing Fun Fractions
I Math Playground - Equivalent Fractions
MathsIsFun - Least Common Multiple
MathsIsFun - Least Common Denominator
I MathsIsFun - Least Common Multiple Calculator
V Karen's Math 110 Videos - The LCD Game (start at 24:00)
V Derek Owens - Operations with Fractions
V YouTube - Subtraction Step 2 - Different Denominators
V Video - Adding and subtracting mixed numbers
V Karen's Math 75 Videos - Adding and Subtracting Fractions (start at 8:10)
I Visual Fractions - Add Fractions
I Playing Fraction Pies
Egyptian Fractions
Wikipedia - Egyptian numerals
I Kids and Cookies

Fractions With Variables - Formulas, Expressions, Equations

Jobs that use fractions
V VirtualNerd - how do you simplify an algebraic fraction by canceling common factors?
V MathTV - Rational Expressions, Multiply and Divide (select Algebra > Rational Expressions > Multiply and Divide. Watch any of the videos for Problem 1 and/or Problem 4.
IL IXL - Exponents with decimal and fractional bases
V YouTube - Simplifying complex fractions
V Derek Owens - Operations with Fractions (adding and subtracting)
V VirtualNerd - how do you distribute with whole numbers and fractions?
V VirtualNerd - how do you simplify an expression? (distributing and combining like terms)
V Derek Owens - Fractions (evaluating)
V YouTube - Evaulating Expressions (with fractions)
Coolmath - Solving Equations - Dealing with Fractions & Decimals

Decimals

Coolmath - Decimal Lessons
I MathsIsFun - Zoomable Number Line
I Ordering Decimals Less than One
A VerizonMath; When Customer Service Reps Don't Understand Decimals
A History News Network - How to Solve Congress's Fraction Problem
A U.S. Energy Flow Charts
I Game - Matching math - What decimal number? (hundredths)
I Game - Finding Place Values
I Game - What is the Decimal Number?
I Game - Flower Power
I Game - Balloon Pop Math
I Game - Death to Decimals
I Game - What's Your Decimal Point?
I Game - Scooter Quest Place Value
I Game - Matching math - Decimal Addition
I Game - Ships and Boats
I Game - Fraction Decimal Conversion

Geometry - Circles and Pi

V YouTube - Pi, Where does it come from?
V YouTube - Area of a circle, how to get the formula
I Illuminations - Circle Tool
I Illuminations - Computing Pi
H Wikipedia - Pi Day
HI The Pi Search Page
HI PiNation
H World's Most Accurate Pie Chart
HV YouTube - Pi (song)
HV YouTube - Happy Pi Day (3.14) Domino Spiral
HV YouTube - Say that Funky Number, Math Guy (by Al G. Bra and Cal Q. Lus)
HV YouTube - Pi Day (by Al G. Bra)
HV YouTube - Happy Pi Day!!!!
HV YouTube - Pi (by Kate Bush)
HV YouTube - A Song About Pi (by Lucy Kaplansky; explanation of song here starting at 1:55)

Percents

I MathsIsFun - Pizza, Grids and Number Lines (Decimals, Fractions and Percentages)
I Illuminations - Fraction Models
I Practice Solving Percent Problems
I Decimals and Percents Game
I Math Goodies - Discount and Sale Price
I Math Playground - Decention
V YouTube - Finding Discounts
A Article - City math doesn't add up
V BBC - Videos on percent and fractions


Math 90 (Beginning Algebra), formerly Math 110

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

Short Review of Prealgebra (For more see Math 75 section)

Coolmath - Adding and Subtracting Signed Numbers
V MathTV - Simplifying Expressions with Variables (Select Algebra > Simplifying Expressions > With Variables)
Purplemath - Variables
V KhanAcademy - Adding and Subtracting Fractions
MathsIsFun - PEMDAS
V Karen's Math 110 videos - The Vocabulary of Expressions (Watch from 10:54 - 14:30)

Linear Equations - Solving

V Karen's Math 110 Videos - Solving Linear Equations with a Balance Scale (Watch from 11:00 - 14:20)
IJ Algebra Balance Scales from Utah State University
I Math Playground - Algebra Balance Scales
I MathsIsFun - Algebra Balance Scales
V MathTV - Solving Linear Equations with Fractions (Select Algebra > Linear Equations in 1 Variable > With Fractions, e.g. Problem 4)
V YouTube video - Solving Linear Equations, Special Cases

Linear Equations - Applications

A US Cell Phone Plan Comparison
AV Panda Distance Problem Traditional Way (Youtube)
AV Panda Distance Problem Traditional Way (Wyzant)

Linear Inequalities

V Karen's Math 110 Videos - The Linear Inequality Dance (Watch from 0:00 - 9:25)

Graphing Lines

I MathsIsFun - Interactive Cartesian Coordinates
I MathsIsFun - Hit the Coordinate Game
Coolmath - What is a Line?
IL IXL - Does (x, y) satisfy the linear equation?
IL IXL - Write a rule for a function table
IL IXL - Find points on a function graph
IL IXL - Graph a line from a function table
IL IXL - Graph a line from an equation
Coolmath - Graphing Lines using Intercepts
I Linear Function Explorer
IJ Linear Lasers
IJ Line of Best Fit
IJ Linear Transformer

Systems of Linear Equations - Solving

V YouTube - Systems of Equations, substitution (animation) by algebrafree.com
V MathTV - Systems of Equations, addition method (Select Algebra > Systems of Equations > Addition Method)
Coolmath - Systems of Equations, Freaky Things That Can Happen
IL IXL - Is (x, y) a solution to the system of equations?
IL IXL - Solve a system of equations by graphing
IL IXL - Find the number of solutions to a system of equations by graphing
IJ System Solver
ISL ExploreLearning - Cat and Mouse

Systems of Linear Equations - Applications

H Foxtrot - Paige and Systems of Equations
AV YouTube - Mixture Problems - how to make Salsa (medium hot)
A Wikipedia - Supply and demand and Economic equilibrium
IJ Illuminations - Mixtures
I Interactivate - Mixtures

Polynomials and Exponents

Coolmath - Exponent Rules
MathsIsFun - Polynomials
Coolmath - Polynomials Vocabulary
V YouTube - Multiplying Polynomials using the Box Method
A Application of Polynomials in Street Safety study (page 6, figure 2)
AV Application of Polynomials in Treasury yield data

Scientific Notation

A Large number example - The National Debt
A Small number example - Carbon Nanotubes
A Scientific notation examples - Solar System facts
V Powers of 10
What is a googol?

Factoring

V YouTube - Factoring out the GCF
V Karen's Math 110 Videos - Factoring by Grouping (Box Method) (Watch from 9:20 - 16:00)
V YouTube - Visual proof of the identity (a+b)2
V YouTube - Visual proof of the identity (a-b)2
V YouTube - Visual proof of the identity a2 - b2
I Matching quiz for polynomial multiplying and factoring
Factoring Polynomials Flowchart
 
AlgebraHelp - Factoring ax2 + bx + c by Trial and Error
Coolmath - Factoring ax2 + bx + c by undoing FOIL
V KhanAcademy - Factoring ax2 + bx + c
V MathTV - Factoring ax2 + bx + c (select Algebra > Factoring > More Trinomials)
V Karen's Math 110 Videos - Factoring ax2 + bx + c using the Long Diamond
GradeAMathHelp - Factoring ax2 + bx + c by the British Method
V YouTube - Factoring ax2 + bx + c using "triple play"
V YouTube - Factoring ax2 + bx + c by factoring out the negative and guessing

Rational Expressions

Purplemath - Rational Expressions: Simplifying
Purplemath - Rational Expressions: More Simplifying
V Derek Owens - Simplifying Expressions - What You Can and Can`t Cancel
V Karen's Math 110 Videos - The LCD Game (start watching at 24:00)
I Mr. Perez Online Math Tutor - Rational Expressions and Equations

Rational Equations - Solving

V MathTV - Solving Rational Equations (select Algebra > Rational Expressions > Equations Containing) Shows different approaches
V Derek Owens - Fractional Equations

Rational Equations - Applications

A Physics equations list - Which of these are rational equations?
AV Karen's Math 120 Videos - Shared Work with Chocolate (start at 33:30)
AI The MPG Illusion - Quiz
A The MPG Illusion
A A Controversial Aviation-Related Math Problem

Roots and Radicals

MathsIsFun - Squares and Square Roots
Hippasus and √2 (see the section on Ancient Greece)
A Article - Why the square root rule for voting is a bad idea
H Limerick with square roots (#17)
V Karen's Math 110 Videos - Simplifying Radicals (watch from 57:28 to 1:02:20)
ISL ExploreLearning Gizmo - Simplifying Radical Expressions Activity A
ISL ExploreLearning Gizmo - Simplifying Radical Expressions Activity B
ISL ExploreLearning Gizmo - Operations with Radical Expressions

Quadratic Equations and the Quadratic Formula

V Karen's Math 110 Videos - Solving Quadratics using the Square Root Method - Box Game (watch from 1:35 to 11:20 and 19:50 to 29:00)
I MathsIsFun - Quadratic Equation Solver
JI NLVM - Algebra Tiles
I Illuminations - Algebra Tiles
V YouTube - Completing the Square
If the IRS had discovered the quadratic formula...
Coolmath - Animated Proof of the Quadratic Formula
V Quadratic Formula Songs - Pop Goes the Weasel
V Quadratic Formula Songs - This Old Man
V Quadratic Formula Songs - Gilligan's Island
V Quadratic Formula Songs - Baby
V Quadratic Formula Songs - Bad Romance
V Quadratic Formula Songs - Frere Jacques
V Quadratic Formula Songs - Do Your Ears Hang Low + rap
V Quadratic Formula Songs - um, original composition?
V Quadratic Formula Songs - Original guitar + voice by Andy Scott; here are the lyrics/chords/melody

END OF MATH 90



Math 120 (Intermediate Algebra)

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

Short Review of Beginning Algebra (For more see Math 90 section)

Coolmath - Solving Linear Equations
V MathTV - Division with Exponents (select Algebra > Exponents > Division with Exponents)
Purplemath - Variables
V KhanAcademy - Algebraic Word Problems
MathsIsFun - PEMDAS
V Karen's Math 120 Videos - Review of Graphing (watch from 3:41 to 7:55)

Functions

V Karen's Math 120 Videos - Intro to Functions
MathsIsFun - What is a Function?
Coolmath - Intro to Domain and Range
I Test Yourself - Function Machines
IJ NLVM - Function Machine
IJ One Mathematical Cat - Introduction to Function Notation
ISL ExploreLearning - Introduction to Functions
IJ In the Dark with an Elephant
IJ One Mathematical Cat - Library of Basic Functions; Domain and Range

Graphing Lines

I Linear Function Explorer
IJ Linear Lasers
IJ Line of Best Fit
IJ Linear Transformer

Systems of Linear Equations and Applications

Coolmath - Systems of Equations, Freaky Things That Can Happen
IJ System Solver
ISL ExploreLearning - Cat and Mouse
H Foxtrot - Paige and Systems of Equations
AV YouTube - Mixture Problems - how to make Salsa (medium hot)
IJ Illuminations - Mixtures
I Interactivate - Mixtures
A Wikipedia - Supply and demand and Economic equilibrium
V YouTube - Solving 3x3 Systems of Equations
V Karen's Math 120 Videos - 3x3 Elimination Tournament (watch starting at 26:50).

Inequalities and Absolute Value

Coolmath - Solving Absolute Value Equations and Inequalities
AI Fireworks, Mathematics and Safety
JI Absolute Value Inequality Number Line
I Interactivate - Linear Inequalities
V Jerry Llevada - Graphing inequalities (horizontal and vertical)
I Math Open Reference - Graphical Function Explorer (Replace "=" with various inequalities)
I QuickMath - Graphs: Inequalities
A Purplemath - Linear Programming Word Problems

Polynomials and Exponents

MathsIsFun - Polynomials
Coolmath - Graphing Polynomials
V YouTube - Multiplying Polynomials using the Box Method
A Application of Polynomials in Street Safety study (page 6, figure 2)
AV Application of Polynomials in Treasury yield data
V YouTube - Animated polynomial with 4 roots in the complex plane (a glimpse of higher math)
I Polynomial Function Graphs
A Wikipedia - Splines
AI Tutorial on Splines
AIJ Interpolation with Polynomials and Splines

Factoring

V YouTube - Visual proof of the identity (a+b)2
V YouTube - Visual proof of the identity (a-b)2
V YouTube - Visual proof of the identity a2 - b2
I Matching quiz for polynomial multiplying and factoring
Factoring Polynomials Flowchart
MathsIsFun - Finding Intercepts from an Equation
JI NLVM - Algebra Tiles
I Illuminations - Algebra Tiles
 
AlgebraHelp - Factoring ax2 + bx + c by Trial and Error
Coolmath - Factoring ax2 + bx + c by undoing FOIL
V KhanAcademy - Factoring ax2 + bx + c
V MathTV - Factoring ax2 + bx + c (select Algebra > Factoring > More Trinomials)
V Karen's Math 110 Videos - Factoring ax2 + bx + c using the Long Diamond
GradeAMathHelp - Factoring ax2 + bx + c by the British Method
V YouTube - Factoring ax2 + bx + c using "triple play"
V YouTube - Factoring ax2 + bx + c by factoring out the negative and guessing

Rational Expressions

Purplemath - Rational Expressions: Simplifying
Purplemath - Rational Expressions: More Simplifying
V Derek Owens - Simplifying Expressions - What You Can and Can`t Cancel
V Karen's Math 110 Videos - The LCD Game (start watching at 24:00)
I Mr. Perez Online Math Tutor - Rational Expressions and Equations
ISL ExploreLearning - Rational Functions
ISL ExploreLearning - General Form of a Rational Function

Rational Equations and Applications

V MathTV - Solving Rational Equations (select Algebra > Rational Expressions > Equations Containing) Shows different approaches
V Derek Owens - Fractional Equations
A Physics equations list - Which of these are rational equations?
AV Karen's Math 120 Videos - Shared Work with Chocolate (start at 33:30)
AI The MPG Illusion - Quiz
A The MPG Illusion
A A Controversial Aviation-Related Math Problem

Radicals and Rational Exponents

I TheMathPage - Rational Exponents
ISL ExploreLearning Gizmo - Simplifying Radical Expressions Activity A
ISL ExploreLearning Gizmo - Simplifying Radical Expressions Activity B
ISL ExploreLearning Gizmo - Operations with Radical Expressions
A Cube Root Rule for legislative districts
A Square Root Rule for voting power
A Hippasus and √2 (see the section on Ancient Greece)

Introduction to i and Complex Numbers

BetterExplained - A Visual, Intuitive Guide to Imaginary Numbers
MathsIsFun - Complex Numbers
V YouTube - Rewriting Powers of i
Cyclic Nature of the Powers of i
I Julia and Mandelbrot Set Explorer, and Background explanation
Wikipedia - Mandelbrot set

Quadratic Equations, Quadratic Formula, Quadratic Functions, Quadratic Graphs

If the IRS had discovered the quadratic formula...
I Quadratic Equation Solver
I Graphing Quadratic Functions - www.analyzemath.com (standard form)
I Graphing Quadratic Functions - www.mathopenref.com (standard form)
I Graphing Quadratic Functions - www.mathopenref.com (vertex form)
I Graphing Quadratic Functions - www.mathwarehouse.com (standard form)
IJ Graphing Quadratic Functions - members.shaw.ca/ron.blond (standard form)
IJ Graphing Quadratic Functions - members.shaw.ca/ron.blond (vertex form)
IJ Graphing Quadratic Functions - mathmaine (standard form)
IJ Graphing Quadratic Functions - mathmaine (vertex form)
IJ Graphing Quadratic Functions - mathmaine (factored form)
IJ Graphing Quadratic Functions - earthmath.kennesaw.edu (standard form and vertex form)
I Graphing Quadratic Functions - www.desmos.com (any form; enter the equation yourself and click "all" to get sliders)

Exponential and Logarithmic Functions

Coolmath - Exponentials and Logarithms
I Mr. Perez Online Math Tutor - Exponential and Logarithmic Functions
I Logarithms
Purplemath - Common and Natural Logarithms
ISL ExploreLearning - Exponential Functions Activity A
ISL ExploreLearning - Logarithmic Functions Activity A

Exponential and Logarithmic Functions - Applications

A The Million $ Mission
A Wikipedia - Exponential Growth (see Examples)
AI TheMathLab - Doing Dishes (from Marilyn Burns)
A TheMathLab - Pay It Forward
A Wikipedia - Pyramid scheme
A Math Motivation - The Mathematics of a Pyramid Scheme: The Scam Explained
A Chain letters
A Chain Letter Evolution
AI TheMathLab - An Explanation of Depreciation
AV How Carbon-14 Dating Works
A Carbon-14 Dating
A Wikipedia - Radiocarbon dating
AH Carbon Dating Cartoons and Comics
A Wikipedia - Apparent magnitude
A pH scale
AIJ Musical scales
A Wikipedia - Richter scale and Moment magnitude scale for earthquakes
AI Decibel scale for loudness
A Electromagnetic spectrum

Midpoints and Circles

MathsIsFun - Midpoint Formula
IJ Midpoint Between Two Locations
I Math Open Reference - Midpoint of a Line Segment
I College Cram - Midpoint of a Line Segment
MathsIsFun - Circle Equations
Coolmath - The Geometry of Crop Circles
I Interactivate - Conic Flyer (default conic is a circle)

Pascal's Triangle and the Binomial Formula

Wikipedia - Binomial theorem (Examples)
MathsIsFun - Pascal's Triangle
Pascal's Triangle from China, circa 1260-1320
A Ethiopia Restaurant - 792 Possible Combinations - Is their math correct?
YouTube - Pascal Triangle with a Phun mechanical binary computer

END OF MATH 120



Math 121 (Trigonometry)

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

General Trigonometry Sites (sites that include many different topics)

J Trigonometry Java applets

Short Review of Algebra (For more see Math 120 section)

V KhanAcademy - Review of graphing functions by point-plotting
Coolmath - Domain and Range of Functions
V MathTV - Review of Solving Quadratic Equations by Factoring (select Algebra > Quadratic Equations > Factoring)
MathsIsFun - Pythagorean Theorem

Angles and Right Triangles

I MathsIsFun - Angles
I MathsIsFun - Interactive Triangles
I MathsIsFun - Complementary Angles
I MathsIsFun - Supplementary Angles
HV YouTube - scarecrow doesn't get a brain after all (listen carefully...)
V YouTube - Visual proof of the Pythagorean Theorem

The Six Trigonometric Functions

I MathsIsFun - Introduction to Trigonometry
MathsIsFun - Sine, Cosine and Tangent in Four Quadrants
IJ Six Trig Functions in Motion

Trig Identities

MathsIsFun - Magic Hexagon for Trig Identities
V YouTube - Trig Identities
V YouTube - Verifying Trigonometric Identities Tutorial
V YouTube - Trigonometry video, identities..

Right Triangle Trig

Mathwords - SOHCAHTOA
MathsIsFun - Sohcahtoa
V YouTube - SohCahToa Song
The Story of SohCahToa
I Trigonometry Calculator - Right Triangles
I Crater on the Moon
I Zona Land Education - Trigonometry and Right Triangles
IJ MathsOnline - Trigonometric functions
IJ Crane Ship
A Jobs Using Trigonometry - Land Surveying
A Jobs Using Trigonometry - Forestry

Vectors

MathsIsFun - Vectors
I Illuminations - Vector Investigation: Boat to the Island
I Google Compass
IJ NCTM - Car and Cyclone
IJ NCTM - Plane and Hurricane

Reference Angles

IJ Reference Angle Java Applet
IJ Trigonometry - Unit Circle Applet

Radians vs. Degrees

I MathsIsFun - Definition of Radian
I MathsIsFun - Definition of Degree (Angles)
I MathsIsFun - Interactive Unit Circle
Wikipedia - Radian
Wikipedia - Degree
I Radians Quiz
V Vi Hart - Pi Is (still) Wrong.
A Distances on the Earth (the Haversine formula)

Intro to Unit Circle Trig; Measuring Circles

I Touch Trigonometry
LV That Tutor Guy - The Unit Circle
WikiHow - How to Understand the Unit Circle
A Wikipedia - Parsec
Wikipedia - Trigonometric Functions (History) - gives etymology of sine, tangent, secant
I Math Open Reference - Sector

Graphs of Trig Functions - a*Sin(bx), a*Cos(bx)

V YouTube - Sine Cosine Generator
V YouTube - 3rd best visual illusion - Two sinusoids: 6 - 1 perceptions
V YouTube - Perspectives of eight, helix, circle, sinus wave
V Video - animated movie of a sine wave and cosine wave
V Video - Circular Polarization
MathsIsFun - Even and Odd Functions
I Illuminations - Trigonometric Graphing
AI Application - Sound Waves (particularly this link on Wavelength)
AI Application - Sound Waves (also click on "Exploring Pitch and Volume")
AV Application - Pendulum Waves
A Application - Light Waves (Google Image search)

More Graphs of Trig Functions

I Illuminations - Function Matching
V YouTube - The Trig Jig
AI Application - Daylight Hours Explorer
A Application - Length of Day formulae
A Application - The Electromagnetic Spectrum (NASA, old page - better images)
A Application - The Electromagnetic Spectrum (NASA, new page - more info)

Converting Graphs to Equations

The Trigonometric Functions
AI Applications - Pistons, Ferris Wheels and Hours of Daylight

Inverse Trig

Google Image Search - Inverse Functions
MathsIsFun - Inverse Sine, Cosine, Tangent

More Trig Identities (Sum, Difference, Double Angle, Half Angle)

Purplemath - Trigonometric Identities
Purplemath - Proving Trigonometric Identities
Discussion - The Philosophy of Proving Trig Identities
Blog post - A=B implies that 1=1, therefore...
Blog post - Showing two expressions are equal: stop the madness
Cut The Knot - Addition and Subtraction Formulas for Sine and Cosine (including proofs)
V KhanAcademy - Proof: cos(a + b) = (cos a)(cos b) - (sin a)(sin b)

Trig Equations

Law of Sines and Law of Cosines

I Wisc-Online - Law of Sines
Law of Sines--Ambiguous Case
I Math Open Reference - Law of Sines
I MathWarehouse - Law of Sines
I MathWarehouse - Law of Cosines
I MathWarehouse - Law of Sines and Cosines
Cut The Knot - The Illustrated Law of Cosines
I Mr. Perez Online Math Tutor - Solving Acute, and Obtuse Triangles Using Law of Sines, and Law of Cosines
MathsIsFun - Solving Triangles
I MathsIsFun - Triangle Solving Practice

Intro to Complex Numbers; Trig Form

A Visual, Intuitive Guide to Imaginary Numbers
V YouTube - An easy, alternative introduction to Imaginary Numbers
John and Betty's Journey into Complex Numbers
V YouTube - Complex Numbers in Trigonometric Form
V YouTube - The Product and Quotient of Complex Numbers in Trigonometric Form
HV YouTube - April Fools 2011: Complex Numbers in Math Class
V YouTube - Complex Number Multiplication: Rectangular and Polar Forms
I National STEM Centre - The Argand Diagram (under Files click on the FLASH link)
I National STEM Centre - Multiplication in the Argand Diagram (under Files click on the FLASH link)
H Cartoon - Be rational
H Cartoon - Calvin and Hobbes
H Cartoon - Calculus store sign
H Cartoon - Blank exam
H Cartoon - The kid who learned about math on the street
H Cartoon - xkcd
Introduction to the Complex Plane
I Julia and Mandelbrot Set Explorer
Wikipedia - Mandelbrot Set

END OF MATH 121



Math 124 (Math for Liberal Arts)

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

Topics Covered:

Short Review of Algebra; Algebra Resources (For more see Math 120 section)

Coolmath - Exponentials and Logarithms
V MathTV - Division with Exponents (select Algebra > Exponents > Division with Exponents)
Purplemath - Variables
V KhanAcademy - Slope and y-intercept intuition
MathsIsFun - Equations and Formulas

Math 124: Logic

Deductive Logic, Inductive Logic, Symbolic Logic

I Sudoku
Article - Taking Sudoku Seriously
A Common Logical Fallacies in Psychology
V YouTube - Deductive and Inductive Learning
I Illustrating Formal Logic with Exclusion Diagrams (a.k.a Venn Diagrams)

Truth Tables, Converse/Inverse/Contrapositive

The Fallacy Files - Improper Transposition
Truth Tables and Logic Gates
Truth Tables, Tautologies, and Logical Equivalence

Analyzing Arguments

Lewis Carroll Syllogisms

More Logic Puzzles

Wikipedia - Logic Puzzle
I Logic-Grid Brain Teasers
Directions Test
Wikipedia - Nonogram
I Games Magazine - Paint by Numbers (a.k.a. Nonograms)
MathsIsFun - Logic Puzzles

Math 124: Finance

General Finance Sites

Coolmath - Finance Freak
I Care One Credit - Financial Quizzes and Polls

Simple Interest and Compound Interest

I Coolmath - Credit Card Calculator
Stocks For Beginners - Learn to Invest Money
Wikipedia - Rule of 72
Federal Reserve - Understanding your credit card offer

Annuities and Amortized Loans

V YouTube - How a Mortgage Works
I MortgageCalculator.org
I Zillow - Mortgage Calculator

Math 124: Number Systems and Number Theory

Place Value and Bases

H Dilbert - 18 Sept 1996 - Zeros and Ones
H Wikipedia - Mathematical jokes with numeral bases
I MathsIsFun - Binary Number
MathsIsFun - Binary, Decimal and Hexadecimal Numbers
Student articles on number systems
The Mayan Number System
IJ Maya Mathematics
Mayan Mathematics
Wikipedia - Maya numerals
Wikipedia - Babylonian numerals
Babylonian numerals
V YouTube - The Abacus - How to Use This Ancient Wonder
V YouTube - Japanese girl doing abacus
Wikipedia - Abacus
I Binary Card Game

Arithmetic in Other Bases

IJ Addition in Other Bases
Binary Fingermath
Hacked Gadget - Binary Marble Adding Machine
I Binary Math

Prime Numbers and Perfect Numbers

I Murderous Maths Prime Tester
Article - Record 232-digit number from cryptography challenge factored
Braingle - 100 Lockers
Wikipedia - RSA Factoring Challenge
Wikipedia - RSA numbers

Fibonacci Numbers and the Golden Ratio

V Donald in Mathmagic Land (part on Golden Ratio is from 7:00 to 13:40.)
H Foxtrot - 8 February 2009
H Blog post inspired by Foxtrot
H Wikipedia - Fibonacci numbers in popular culture
A Swing-Trade-Stocks - Fibonacci Retracements
A Wikipedia - Fibonacci retracement
H xkcd - Crime Scene
Zeckendorf's theorem
I MathsIsFun - Nature, The Golden Ratio, and Fibonacci too...
I` Fibonacci Numbers and Nature

Math 124: Geometry

Perimeter, Area and Volume

I MathsIsFun - Interactive Quadrilaterals
I MathsIsFun - Area
HV YouTube - Scarecrow tries the Pythagorean Theorem
V YouTube - Visual Proof of the Pythagorean Theorem
V Derek Owens - Proof of the Pythagorean Theorem
V YouTube - Pi, Where does it come from?
V YouTube - Area of a circle, how to get the formula
H Wikipedia - Pi Day
HI The Pi Search Page
HI PiNation
H World's Most Accurate Pie Chart
HV YouTube - Pi (song)
HV YouTube - Happy Pi Day (3.14) Domino Spiral
HV YouTube - Say that Funky Number, Math Guy (by Al G. Bra and Cal Q. Lus)
HV YouTube - Pi Day (by Al G. Bra)
HV YouTube - Happy Pi Day!!!!
HV YouTube - Pi (by Kate Bush)
HV YouTube - A Song About Pi (by Lucy Kaplansky; explanation of song here starting at 1:55)
V YouTube - Volume of a Cone
V YouTube - Volume of a Sphere

Egyptian and Greek Geometry

Mathematics in Egyptian Papyri
The Moscow Papyrus
V The Visual Geometry Project - The Platonic Solids (Part 1 of 2)
V The Visual Geometry Project - The Platonic Solids (Part 2 of 2)
I Illuminations - Computing Pi
The Archimedes Palimpsest
V YouTube - Volume of a Sphere -- Archimedes Calculation
Wikipedia - Irrational Numbers (section on Ancient Greece)
Wikipedia - Pythagorean Theorem (section on History)

Right Triangle Trigonometry

Mathwords - SOHCAHTOA
MathsIsFun - Sohcahtoa
V YouTube - SohCahToa Song
The Story of SohCahToa
I Trigonometry Calculator - Right Triangles
I Crater on the Moon
I Zona Land Education - Trigonometry and Right Triangles
IJ MathsOnline - Trigonometric functions
IJ Crane Ship
A Jobs Using Trigonometry - Land Surveying
A Jobs Using Trigonometry - Forestry

Linear Perspective

I Drawing in One-Point Perspective
Student examples of one-point perspective
I The Artist's Toolkit - Linear and Aerial Perspective
Math and the Art of MC Escher - Depth and Perspective
Termespheres
Termespheres - 6-Point Perspective
Wikipedia - Perspective (graphical)
Wikipedia - Ascending and Descending (by Escher)
Escher's "Ascending and Descending" in LEGO
Arty Factory - Linear and Aerial Perspective
I Linear perspective
About.com - Draw two-point perspective
IJ Java Sketchpad Perspective Applet

Conic Sections

V YouTube - Conic Sections (Part 1): An Introduction to Conic Sections
V YouTube - Conics Video
I Interactive 3-D Conics Graph
I Illuminations - Conic Section Explorer
V Mathispower4u - Conic Sections: The Circle
V Mathispower4u - Conic Sections: The Ellipse part 1 and The Ellipse part 2
V Mathispower4u - Conic Sections: The Parabola part 1 and The Parabola part 2
V Mathispower4u - Conic Sections: The Hyperbola part 1 and The Hyperbola part 2
Math Tables: Conic Sections
Conic Sections
A Wikipedia - Hyperbola (Applications)
A Wikipedia - Parabola (Parabolas in the physical world)
A Wikipedia - Ellipse (Ellipses in physics)
A Hyperbolae Drawn By Halogen Lamp
IJ Conic Sections
I Interactivate - Cross Section Flyer
Mathdemos.org - Conic Section Gallery
IJ Cut The Knot - Conic Sections as a Loci of Points
I Interactivate - Conic Flyer
IJ Ellipse and Hyperbola Review
IJ Parabolas
V YouTube - Conics NS
V YouTube - Conic Sections--Pizza
V YouTube - Conic Sections--Nimagraphs
V YouTube - Conic Sections - Darkness
H Incidental Comics - The Ellipse

Non-Euclidean Geometry

Non-Euclidean Geometry Online: a Guide to Resources
Geometry of the Universe
Crocheting Adventures with Hyperbolic Planes
V TED talk - Margaret Wertheim: The beautiful math of coral (math explanation from 4:58 to 10:30)
CNN SciTechBlog - Geek Out!: Crochet sculptures teach higher math
V Hyperbolic animations
V YouTube - Hyperbolic animation of Circle Limit III by Escher
V YouTube - Angels and Devils moving in the Poincaré disc
IJ Experiments in hyperbolic geometry
IJ Hyperbolic Geometry Toolbox
IJ Spherical Geometry Toolbox
IJ Non-Euclidean Geometry
IJ Spherical Easel
IJ Spherical Geometry Demo
IJD Non-Euclid
A Understanding Latitude and Longitude: The Global Grid
V YouTube - Möbius Transformations Revealed

END OF MATH 124



Math 135 (College Algebra)

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

Short Review of Algebra (For more see Math 120 section)

Coolmath - Exponents
V MathTV - Quadratic Equations (select Algebra > Quadratic Equations)
Purplemath - Rational Expressions: Simplifying, and the next page with More Simplifying
V KhanAcademy - Algebraic Word Problem
MathsIsFun - Finding Intercepts of a Graph

Quadratic and Rational Inequalities

Purplemath - Solving Linear Inequalities
Purplemath - Solving Quadratic Inequalities
Purplemath - Solving Polynomial Inequalities
Purplemath - Solving Rational Inequalities

Absolute Value Equations and Inequalities

Coolmath - Solving Absolute Value Equations and Inequalities Lessons
IJ Geogebra - Absolute Value Inequality Number Line

Graphing Equations of 2 Variables (including Lines)

I Linear Function Explorer
IJ Linear Lasers
I Interactivate - Conic Flyer
IJ Linear Transformer
I Illuminations - Line of Best Fit

Functions - Domain & Range, Increasing & Decreasing

MathsIsFun - What is a Function?
Coolmath - Intro to Domain and Range
I Test Yourself: Function Machines and Formulas
ISL ExploreLearning - Introduction to Functions
IJ One Mathematical Cat - Library of Basic Functions; Domain and Range

Functions - Operations, Composition, Inverse

MathsIsFun - Operations with Functions
Coolmath - Composition of Functions
MathsIsFun - Composition of Functions
MathsIsFun - Inverse Functions
V YouTube - Animation: Inverse Function
Google Image Search - Composition of Functions
Google Image Search - Inverse Functions
IJ Inverse Functions
IJ Composition of Functions

Transformations of Graphs (Shifting, Stretching/Shrinking, Even & Odd)

I Many useful graphing calculators are listed near the top of this page
IV Education Portal - Graphing Absolute Value Equations: Dilations and Reflections
I Purplemath - Function Transformations Quiz
MathsIsFun - Even and Odd Functions

Quadratic & Other Polynomial Function Graphs; Maximums and Minimums

I Zona Land Education - Polynomial Function Graphs
IJ Polynomial Applet
I bcalc (Try the max/min features)
I Projectile Motion
Coolmath - Graphing Polynomials
A Wikipedia - Splines
AI Tutorial on Splines
AIJ Interpolation with Polynomials and Splines
AV Application of Polynomials in Treasury yield data

Zeros of Polynomials

Solving Polynomial Equations
Purplemath - Solving Polynomials
V KhanAcademy - Why Synthetic Division Works
A Visual, Intuitive Guide to Imaginary Numbers
MathsIsFun - Polynomials: The Rule of Signs
V YouTube - Animated polynomial with 4 roots in the complex plane (a glimpse of higher math)
I Julia and Mandelbrot Set Explorer, and Background explanation
Wikipedia - Mandelbrot set

Rational Function Graphs (Asymptotes)

Purplemath - Vertical Asymptotes
WebGraphing - Rational Functions: Tricks of the trade
Purplemath - Graphing Rational Functions: The Special Case with the "Hole"
A Application - Quantitative relationship between current, voltage and resistance
V Rational Function and Their Graphs
V YouTube - Möbius Transformations Revealed (a glimpse of higher math)

Exponential and Logarithmic Functions

Coolmath - Exponentials and Logarithms
I Mr. Perez Online Math Tutor - Exponential and Logarithmic Functions
I Logarithms
Purplemath - Common and Natural Logarithms
ISL ExploreLearning - Exponential Functions Activity A
ISL ExploreLearning - Logarithmic Functions Activity A

Exponential and Logarithmic Functions - Applications

A The Million $ Mission
A Wikipedia - Exponential Growth (see Examples)
AI TheMathLab - Doing Dishes (from Marilyn Burns)
A TheMathLab - Pay It Forward
A Wikipedia - Pyramid scheme
A Math Motivation - The Mathematics of a Pyramid Scheme: The Scam Explained
A Chain letters
A Chain Letter Evolution
AI TheMathLab - An Explanation of Depreciation
AV How Carbon-14 Dating Works
A Carbon-14 Dating
A Wikipedia - Radiocarbon dating
AH Carbon Dating Cartoons and Comics
A Wikipedia - Apparent magnitude
A pH scale
AIJ Musical scales
A Wikipedia - Richter scale and Moment magnitude scale for earthquakes
AI Decibel scale for loudness
A Electromagnetic spectrum

Library of Functions

Purplemath - Graphing Overview
MathsIsFun - Common Functions Reference
MathFortress - Precalculus Library of Functions
MathDemos - Polynomial & Rational Function Gallery
WebGraphing - Gallery of Function Graphing (At left, select Examples > Gallery of Function Graphing)
I Illuminations - Function Matching
D Wolfram Demonstrations Project - A Library of Functions with Transformations
IL IXL - Identify linear, quadratic, and exponential functions from graphs
IL IXL - Identify linear, quadratic, and exponential functions from tables
IL IXL - Write linear, quadratic, and exponential functions
I AnalyzeMath - Graphs of Functions - Questions
A Application - Data Modeling

2x2 and 3x3 Linear Systems of Equations; Applications

Coolmath - Systems of Equations, Freaky Things That Can Happen
IJ System Solver
ISL ExploreLearning - Cat and Mouse
H Foxtrot - Paige and Systems of Equations
AV YouTube - Mixture Problems - how to make Salsa (medium hot)
IJ Illuminations - Mixtures
I Interactivate - Mixtures
A Wikipedia - Supply and demand and Economic equilibrium
V YouTube - Solving 3x3 Systems of Equations
Coolmath - 3x3 Systems of Equations
A Solving Large Airline Crew Scheduling Problems
A A Controversial Aviation-Related Math Problem

Nonlinear Systems of Equations

I Many useful graphing calculators are listed near the top of this page
I Also try entering a list of equations into WolframAlpha

Binomial Formula and Pascal's Triangle

Wikipedia - Binomial theorem (Examples)
MathsIsFun - Pascal's Triangle
Pascal's Triangle from China, circa 1260-1320
A Ethiopia Restaurant - 792 Possible Combinations - Is their math correct?
YouTube - Pascal Triangle with a Phun mechanical binary computer

Conic Sections

V YouTube - Conic Sections (Part 1): An Introduction to Conic Sections
V YouTube - Conics Video
I Interactive 3-D Conics Graph
I Illuminations - Conic Section Explorer
V Mathispower4u - Conic Sections: The Circle
V Mathispower4u - Conic Sections: The Ellipse part 1 and The Ellipse part 2
V Mathispower4u - Conic Sections: The Parabola part 1 and The Parabola part 2
V Mathispower4u - Conic Sections: The Hyperbola part 1 and The Hyperbola part 2
Math Tables: Conic Sections
Conic Sections
A Wikipedia - Hyperbola (Applications)
A Wikipedia - Parabola (Parabolas in the physical world)
A Wikipedia - Ellipse (Ellipses in physics)
A Hyperbolae Drawn By Halogen Lamp
IJ Conic Sections
I Interactivate - Cross Section Flyer
Mathdemos.org - Conic Section Gallery
IJ Cut The Knot - Conic Sections as a Loci of Points
I Interactivate - Conic Flyer
IJ Ellipse and Hyperbola Review
IJ Parabolas
V YouTube - Conics NS
V YouTube - Conic Sections--Pizza
V YouTube - Conic Sections--Nimagraphs
V YouTube - Conic Sections - Darkness
H Incidental Comics - The Ellipse

END OF MATH 135



More Math Fun

SET Daily Puzzle
MathsIsFun - Math and Logic Puzzles
Wikipedia - Mathematical joke
WIMS
Sci.Math FAQ

END OF MORE MATH FUN

no! don't let it end! :-)

Study Skills

    KEY:
  •  
  • A = Application
  • D = Download required (besides Java or Shockwave)
  • H = Humor/Fun
  • I = Interactive
  • J = Java required
  • L = Limited free access
  • M = Membership required
  • S = Shockwave required
  • V = Video(s)

General Study Skills sites

Study Skills Checklist (Cook Counseling Center, Virginia Tech)
Study Skills Information (Cook Counseling Center, Virginia Tech)
Study Guides and Strategies

Exam Prep

Mind Maps
Coolmath - How to Study for a Math Final Exam

Learning Styles, Learning and Education

I Learning Styles Questionnaire
Learning Styles Overview
NPR - How Eastern and Western Cultures Tackle Learning
Succeeding in continuing and higher education

Learning Disabilities

PBS - Experience Firsthand
PBS - Experience Firsthand, Decoding Activity
Demystifying LD: 18 Facts You Need to Know
TeensHealth - Learning Disabilities
For adults (list of resources)
V PBS - How Difficult Can This Be?
LDOnline - Math Learning Disabilities

Math-Specific Study Skills

Tips for taking Math tests

Math Anxiety

Coping with Math Anxiety
Math Anxiety: A Self-fulfilling Prophesy
Do You Have Math Anxiety? A Self Test
TutorTrend.com article on Math Anxiety
Texas State University article on Math Anxiety
TotallyStressedOut.com
Math Anxiety Linked With Differences In Brain Functioning, Study Finds
Two Easy Steps to Eliminate Math Anxiety from Your Life!
Math.com Study Tips on Math Anxiety
The Causes and Prevention of Math Anxiety
About.com article on Math Anxiety
Math Anxiety activity (pages 17-18)

Strengthening Your Brain

You Can Grow Your Intelligence (article)
You Can Grow Your Brain (article, specific to math)
I You Can Grow Your Intelligence (interactive site)
LI Lumosity - for strengthening your brain

Sleep

Article - Sleep and Learning

Time Management

Study Guides and Strategies - Time Management
Study Guides and Strategies - My Daily Schedule

END OF STUDY SKILLS