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Patterns

General Math

Mathematics can be said to be the science of patterns. These patterns can be real or imagined, visual or mental, static or dynamic, qualitative or quantitative.

Mathematical patterns can be found everywhere--in the physical universe, in the living world, or even in our own minds.

Sample some of the following activities to learn more about mathematics. 


Places To Go

The following are places to go (some real and some virtual) to find out about math

WebMath
Visit the Discovery School and use their great WebMath section. You can choose from different math subjects and even enter your own math problem to find a step-by-step tutorial of how to solve that problem.

SchoolHouse Rock
Spend time at this cyber schoolhouse and listen to the audio file of that catchy Multiplication Rock tune that used to be a part of Saturday morning television.

FunSchool
Travel to the FunSchool and find math games and activities.

MathMagic on the Web
Travel to the land of MathMagic and learn how students can participate in these online math activities that range in difficulty from kindergarten to 12th grade.

MegaConverter
Travel back in time to places where they used talents, konas, okas, and other ancient measurements. Use this online converter to find out equivalent weights and measures. Ancient measures are just one of the categories at this useful site. Others include area, density, energy, force, wind chill, and many more.

Lemonade Stand
Visit this lemonade stand in cyberspace and learn about the mathmematics and economics of supply and demand.

Mayan Math
Travel to ancient Mesoamerica and spend time with the Mayans. They developed their own unique method of mathematics that was centered on a base number of 20.

Tower of Hanoi
Visit the imaginary Tower of Hanoi. The Tower of Hanoi is really a puzzle that was invented by the French mathematician Edouard Lucas in 1883. In looking for a solution, students learn the basics of algorithms.

A Chronology of the SI Metric System
Travel back to 18th century France and learn about the origins of the metric system.

Roman Numeral Conversion
Visit ancient Rome and learn about their system of notation. Roman numerals are still used today for a few purposes such as numbering pages and some dates. The common basic symbols are I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). From this site, you can easily convert back and forth from Arabic to Roman numerals.

NCTM Illuminations
This Thinkfinity website, created in conjunction with the NCTM (National Council of Teachers of Mathematics), provides a wealth of resources designed to improve the teaching and learning of mathematics.

Patterns in Mathematics
Mathematics might be described as the “the science of patterns.” As this site illustrates, however, patterns are much broader—they can be observed in logic and words as well as numbers. They can be sequential, spatial, temporal, and even linguistic. The NCTM recognizes the importance of patterns in its publication Curriculum and Evaluation Standards for School Mathematics (1989): “Patterns abound in our world. The mathematics curriculum should help sensitize students to the patterns they meet every day and to the mathematical descriptions or models of these patterns and relationships.”
People To See

Ask Dr. Math - Elementary Level
Ask Dr. Math - Middle School Level
Ask Dr. Math - High School Level
Get to know Dr. Math. He runs a question and answer service for math students and their teachers. Questions are submitted to him via a web form. Don't miss the archives of previously asked questions and answers. It is a mathematical treasure. Ask students some of the same questions submitted to Dr. Math and then compare their answers to his.

Biographies of Women Mathematicians
Meet women who have made a contribution to the science of mathematics.

MathStories.com
Hang out with Harry Potter, the Three Little Pigs, and Huckleberry Finn. This fun site has math story problems based on children's books. You'll also find seasonal/holiday-related math story problems. The goal of this web site is to help students in grades 1-8 improve their math problem-solving and critical thinking skills. It has over 4000 math word problems for students to solve.

The Glossary of Mathematical Mistakes
Meet people who make mathematical mistakes such as advertisers, the media, reporters, and politicians. You can read about the "Mistake of the Month" and browse through the archives of great, past math mistakes.

Scientific American: A Century of Mathematics
Meet the people who have influenced the science of math over the past century.

Stanley Park Chase
Meet Dexter the dog. He has buried his tasty bone in Stanley Park, and students can use their multiplication skills to help him locate his dinner.

U.S. Metric Association (USMA), Inc.
See the people at the US Metric Association. Find out if they're disappointed that the United States never officially adopted the metric system even though most of the other countries of the world use it.

The Abacus : The Art of Calclulating with Beads
Meet the ancient Babylonians who probably developed the first abacus. This all-encompassing site has excellent information about the history of the abacus as well as instructions on how to do abacus calculations. Read about a contest that was held that pitted an abacus expert against someone with a calculator.

Biography of Leonardo Fibonacci
Get to know Leonardo Pisano Fibonacci. He was an Italian mathematician who developed the famous Fibonacci pattern.

Measurements Converter
Chat with your favorite student. If they are worried about spending 2 hours doing homework, tell them that 2 hours is only .0833333 days or .0002282 years or .0000023 centuries. This interactive website converts not only time, but also volume, speed, temperature, weight, and others.
Things To Do

MathMagic
Sign your class up to participate in a MathMagic activity. MathMagic is a K-12 telecommunications project developed in El Paso. It provides motivation for students to use computer technology while increasing problem-solving strategies and communications skills. MathMagic posts challenges in each of four categories (K-3, 4-6, 7-9 and 10-12) to trigger each registered team to pair up with another team and engage in a problem-solving dialog. When an agreement has been reached, one solution is posted for every pair.

MathMastery
Explore this site whose goal is to helpstudents, teachers, and parents learn, practice, and understand essential math skills.

AAA Math
Find 25 different math topics from addition to statistics. Each topic has its own interactive practice and challange games.

Online Pattern Blocks
Discover the wonderful patterns and designs that can be created with this online pattern program. You will find four shapes on the left of the screen that can be dragged into the working area. Which patterns could be repeated over and over again in the plane?

Math in Daily Life
According to this site, "When you buy a car, follow a recipe, or decorate your home, you're using math principles. People have been using these same principles for thousands even millions of years, across countries and continents. Whether you're sailing a boat off the coast of Japan or building a house in Peru, you're using math to get things done." Help students discover the ways that math can help us in our daily lives.

MathGoodies
Browse through interactive math lessons, homework help, worksheets, puzzles, message boards, and more. This site has over 400 pages of free math activities and resources for students, teachers, and parents.

National Center for Education Statistics:Crunch
Choose "Challenge" from the menu to find a math teaser of the week. Scrolling down the page will reveal the answer to the teaser, and you can browse through past teasers as well. From this site, you can also take an online quiz called "Mathematicians Are People Too" to learn about famous math individuals.

Math Mayhem
Let students practice their math skills with these fast-paced online math activities. This is part of the LearningPlanet site that also has activities for other curricular areas.

Cool Math 4 Kids
Play Arith-Mattack and see how many math problems you can answer correctly in 60 seconds. This engaging site has many other online math activities in a variety of areas.

AIMS Puzzle Corner
The goal of the AIMS Puzzle Corner is to provide teachers with a variety of interesting puzzles that can be used to create an online mathematical learning environment. Explore these monthly puzzles. Solutions to the puzzles appear the month following the puzzle's introduction.

Professor Freedman's Math Help
Find ten ways to help students reduce math anxiety.

WWW Unit Converter
Use this interactive site to quickly and easily make conversions for area, length, density, temperature, volume, speed, etc.

The Prime Pages
A prime number is a positive integer that is not divisible without remainder by any integer except itself. The numbers 2, 3, 5, 7, 11, 13, 17, and 19 are prime numbers. Have students discover the one hundred largest known primes.

21st Century Problem Solving
Help students gain a logical, consistent approach to problem solving that applies across the curriculum and at all grade levels

What Good is Math?
Help students find out how math can aid us in our everyday life.

Word Problems for Kids
Find dozens of word problems for students in grade 5 through 12.

Cook Metric
Mix up a batch of Metric Brownies. You'll need 60 ml of butter, 240 ml of white sugar, and 56 grams of unsweetened chocolate. You'll also need to find out what to do if the recipe indicates to bake the brownies at 180 degrees centigrade.

Necklace in a Box
Solve a math mystery.

Making Patterns
Make patterns with this online interactive tool. It is great for creating, comparing, and viewing multiple repetitions of patterns.

MegaMathematics
Locate games and activities to use with lessons on graphing and other math concepts.

UBUYACAR
Participate in this problem-solving project where students must calculate what their annual salary would have to be in order to afford a car.

Fibonacci Numbers and the Golden Section
Fibonacci numbers follow a pattern or sequence like 1, 1, 2, 3, 5, 8, 13, 21, 34 where each term is defined as the sum of its two predecessors. Discover how this pattern occurs in nature. People who like Fibonacci numbers are serious about those numbers and sometimes join the Fibonacci Association and read the periodical, The Fibonacci Quarterly so that they don't miss one iota of current Fibonacci information.

Math.Com
Send students to get help in many areas such as math practice, test preparation, study tips, etc. This site calls itself "the next best thing to a great math teacher." Teachers can find lesson plans and classroom resources.

Smile Program Mathematics Index
Explore this ollection of almost 200 single concept lessons. These lessons may be freely copied and used in a classroom but they remain the copyright property of the author.

Brain Teasers
Find weekly math puzzles to use with a variety of grade levels. It's part of Houghton Mifflin's Education Place.

FunBrain
Play Math Baseball, MathCar Racing, Place Value Puzzler, Soccer Shootout (a fraction game), Measure It, and other online math games.

A Dictionary of Units
Figure out the calculations you have to perform to convert meters into yards. This site is full of equations for many kinds of conversions in the areas of length, area, volume, mass, temperature, density, pressure, speed, etc.

Helping Your Child Learn Math
Refer parents to this U.S. government publication that helps students explore math in their daily lives. It's part of the U.S. Department of Education of website that has many helpful publications.

Metric System Unit System of Measurement
Learn the basics of the metric system

Free Worksheets
Need emergency math assignments to leave for a substitute? This site has thousands of free, printable worksheets. It's part of the SchoolExpress site that also contains many printable puzzles and crosswords.

Pi Trivia Game
Pi is the ratio of the circumference of a circle to its diameter. The ratio is the same for all circles and is approximately 3.1416. Use this site to test your pi knowledge with 25 pi-related questions.

Interactive Mathmatics Online
Choose activities in the areas of algebra, geometry, calculus, etc.

Elementary Problem of the Week
Solve weekly math problems.

Cut the Knot : Interactive Mathematics Miscellany and Puzzles
Try out dozens of interactive puzzles and games in many different areas and levels of math. This is part of the Cut the Knot website that contains many other math activities as well.

A+ Math
Help students improve their math skills with interactive flash cards and math puzzles.

Aims Education Puzzle Corner
Aims Education posts a student-oriented math puzzle to its site each month. Solutions to the puzzles appear the month following the puzzle's introduction.You can choose from the Puzzle of the Month for 2000 or select puzzles from previous years back to 1995.

Mathematics Lessons
Choose from a dozen engaging mathmatics activities in the areas of geometry, calculus, algebra, etc.

Common Equivalent Weights and Measures
Find out metric and US equivalents to common units of measurement. For example, if you live on a hectare of land, you will want to know that it is equivalent to 10,000 meters^2 or 2.471 acres. And if you pick a peck of peppers, you can find out that it is equivalent to 8.809 liters of peppers or 8 quarts of peppers.

Math League
Use this help resource for students in grades 4 through 8. Choose from topics such as ratio and proportion, decimals, whole numbers, exponents, fractions, positive and negative numbers, etc.

Family Corner : Figure This
Print math brochures (in great pdf format) that cover a variety of math challenges that parents and children can work on at home. These are Many of the printable challenges are also available in Spanish.

Department of Mathematics : John Handley High School
Find pertinent math poetry, math lesson plans, a problem of the week, and math jokes.
PI
by Harvey L. Carter
in "The Lure of the Limerick" by W.S. Baring-Gould
Tis a favorite project of mine
A new value of pi to assign.
I would fix it at 3
For it's simpler, you see,
Than 3 point 1 4 1 5 9.
Have students write their own math poetry.

Help for Math Anxiety
Outline tips for students to help them be successful with math tasks.

Venn Diagrams for Boolean Logic
Whether students realize it or not, they are using Boolean logic when they search for information in most internet search engines. Help them understand the process the goes on "behind the scenes" in search engines.

MathRealm
Discover MathRealm, an online mathematics learning environment featuring lessons, exploration activities, tools, and a learning community. MathRealm is also a class management system that allows educators to create an online syllabus that links directly to lessons and activities, develop tests and worksheets, and track the performance of individual students.

SCORE Mathematics
Choose "Real World Mathematics" from the menu to find a collection of practical math activities.

Math Central
Find resources from this website where mathematics educators can share teaching ideas and lesson plans.

Fun School
Early Childhood Where Learning Begins : What Is Mathematics?
Guide parents to concepts to help their children with early math literacy such as problem solving, communication, reasoning, and connections.

Teaching Mathematics in the Middle and Secondary Schools
Find 25+ lessons geared around a variety of mathematical topics.


Teacher Resources

Online activities are a listing of internet sites with fun, interesting, and educational tasks attached to each one. (You can learn how to use this WWW Activities tool created by UEN for Utah educators).

Virtual Field Trips are teacher and student-created tours of curricular topics. (You can learn how to use this UEN Virtual Field Trip tool created by UEN for Utah educators).

Lesson Plans/Webquests


Bibliography
  • Alexander, Ruth Bell. Number Jugglers Math Game Book . New York : Workman Publ., 1998.  
  • Alice in Numberland : Fantasy Math. Alexandria, Va. : Time-Life for Children, 1993.
  • Atkins, Robert A. Essential Math : Basic Math for Everyday Use. Hauppauge, N.Y. : Barron's, c1994.
  • The Case of the Missing Zebra Stripes. Alexandria, Va. : Time-Life for Children, c1992.
  • D'Amico, Joan. The Math Chef : Over 60 Math Activities and Recipes for Kids. New York : J. Wiley, c1997.
  • Devlin, Keith J. Mathematics, the Science of Patterns : Rhe Search for Order in Life, Mind, and the Universe. New York : Scientific American Library, c1994.
  • Fisher, Ann Richmond. Listen up! Math : Activities to Improve Math and Listening Skills.Cathage, IL : Teaching & Learning Company, c1994.
  • From Head to Toe : Body Math. Alexandria, Va. : Time-Life for Children, c1993.
  • Gardner, Robert. Math in Science and Nature : Finding Patterns in the World Around Us. New York : Franklin Watts, c1994.
  • Gardner, Robert. Math & Society : Reading Life in Numbers. New York : Franklin Watts, 1995.
  • The House That Math Built : House Math. Alexandria, Va. : Time Life for Children, c1993.
  • How Do Octopi Eat Pizza Pie? : Pizza Math. Alexandria, Va. : Time-Life for Children, c1992.
  • King, Andrew. Exploring Numbers. Brookfield, Conn. : Copper Beech Books, 1998.
  • King, Jerry P. The Art of Mathematics. New York : Plenum Press, c1992.
  • Kogelman, Stanley. The Only Math Book You'll Ever Need. New York : HarperCollins Publishers, c1995, 1994.
  • Look Both Ways : City Math. Alexandria, Va. : Time-Life for Children, c1992.
  • MacNeal, Edward. Mathsemantics : Making Numbers Talk Sense. New York : Viking, 1994.
  • Maganzini, Christy. Cool Math : Math Tricks, Amazing Math Activities, Cool Calculations, Awesome Math Factoids, and More. [Los Angeles, Calif.] : Price Stern Sloan, c1997.
  • Motz, Lloyd. Conquering Mathematics : From Arithmetic to Calculus. New York : Plenum Press, c1991.  
  • The Mystery of the Sunken Treasure : Sea Math. Alexandria, VA : Time-Life for Children, 1993.
  • Piccirilli, Richard S. Mental Math : Computation Activities for Anytime. New York : Scholastic Professional Books, c1994.
  • Play Ball : Sports Math. Alexandria, Va. : Time Life for Children, c1993.
  • Pterodactyl Tunnel : Amusement Park Math. Alexandria, VA : Time-Life for Children, 1993.
  • Right in Your Own Backyard : Nature Math. Alexandria, Va. : Time-Life for Children, c1992.
  • Salvadori, Mario George. Math Games for Middle School : Challenges and Skill-builders for Students at Every Level .Chicago : Chicago Review Press, c1998.
  • See You Later Escalator! : Mall Math. Alexandria, Va. : Time-Life for Children, c1993.
  • Seiter, Charles. Everday Math for Dummies. Foster City, CA : IDG Books Worldwide, c1995.
  • Sperling, Abraham Paul. Mathematics Made Simple. New York : Made Simple Books, 1991.
  • Zeman, Anne. Everything You Need to Know About Math Homework. New York : Scholastic, 1994.