510 Mathematics

“Do not worry about your difficulties in mathematics. I assure you that mine are still greater.” ~Albert Einstein (1879-1955)

Mathematics is the study of quantity, structure, and change. It’s a part of everything in the universe. Everyone uses math at one point or another: from scientists and statisticians to farmers and cooks. Math is just as important when you go to buy a burger, as it is to help plot the movement of planets. Ideas and concepts in math are also universal because they are based in logic and deductive reasoning. Proofs, definitions, and theorems rule the actions of math whether you are from China, Great Britain, or another planet. The concept of “one” will always be “one” no matter what language you speak. Even computers speak math. They use a binary language (ones and zeroes). For an excellent introduction to the science of math, see:

NUMBERNUT.COM is a free website that teaches the basics of math to all ages. It has a section on Arithmetic which includes Addition, Subtraction, Multiplication, and Division. The section on Advanced Math covers topics like Number Types, Fractions, Decimals, Percentages, Estimation & Rounding, Ratios, Money, and Factors. The Pre-Algebra section includes Graphing, Roots and Exponents, Units, Advanced Numbers, Scientific Notation, and Variables. Even if you aren’t a number nut, you will like this site!


Elementary School

Free Math Program for Grades 1-5 – FreeMath is an exceptionally high quality math program covering every math skill that should be taught for Grades 1 through 5. Its unique design will make your job as a teacher easier while dramatically increasing the efficiency of the math learning process for your students. While all math programs teach nearly the identical content, FreeMath uses a unique layout that you will absolutely love! The practice materials are printed on a skill by skill basis and unlike textbooks, each problem is already printed on the paper (no tedious re-writing) while leaving plenty of room for calculations. Use FreeMath as your primary math curriculum or to supplement your current program.

Geometry for Elementary School – Geometry is one of the most elegant fields in mathematics. It deals with visual shapes that we know from everyday life. This book is based on Euclid’s Elements. It intended for use by a parent (or a teacher) and a child. Although it is recommended that the parent have some familiarity with geometry, this is not necessary. The parent can simply read the chapter before teaching the child and then learn it together. NOTE: This book uses British English as the primary language. A printable PDF version of Geometry for Elementary School is available.

JumpStart Math Worksheets – Free, Fun, and Printable worksheets for grades K-5.

KidsNumbers.com – A free math resource designed by teachers, where students can practice all aspects of math including addition, subtraction, multiplication, division, fractions, money, telling time, etc. Use the free math games and activities to develop basic math skills or to review and keep your math wits sharp.

Math Games – Research-based math games and activities are designed to help build math skills in a fun and engaging way. Included are number and operations, measurement and geometry. See also: Math Applets.

Math Movies – Free math movies for learning about Absolute Values and Average. Also: Telling Time. In order to successfully complete each online video, your student must watch, and then answer the quiz questions with 80% or higher accuracy.

Math Worksheet Land – This site from a retired teacher has a wonderful assortment of high quality, well-designed worksheets that actually make math practice seem like fun. They’re sorted by math topic and grade level. Many of the worksheets include guided lessons. All of them are aligned to the common core math standards. Answer keys are downloadable separately.

Math Worksheets

Math Worksheets from the creators of Rock n’ Learn

MathBlaster – The classic math practice game for ages 6-12. Play it free online! (But you will have to create an account.)


Middle School

Arithmetic – From Just Math Tutorials.

Arithmetic and Pre-Algebra – Start here if you want to learn the basics (or just want to make sure you know these topics). After this, you should be ready for algebra. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Mastermath – Everything you need for success in middle school math, and to help your child master all the concepts required to move on to high school math. The curriculum is organized by grade and quarter, so there is a logical sequence that can be followed. A Video Lesson starts each section of the curriculum. After an explanation of the concept, the student is given several “You Try It” problems, where they are asked to pause the video and try the problem. The videos are 10 – 17 minutes long, but with breaks for the “You Try It” problems, should take about a half-hour to complete. If the concept is still challenging, the video should be watched again. After completing the video, the student is directed to a printable Worksheet, where he or she can test her understanding of the concept. There is also a printable Answer Sheet. If the student misses a problem on the Worksheet, they should use the answer sheet as a guide by re-trying the problems missed, and working hard to understand what they did incorrectly. The time required to do the Worksheet, and then potentially re-do the Worksheet using the Answer Sheet, should be somewhere between a half hour and 1.5 hours. After the worksheet is completed, the student is directed to an online, self-grading Quiz. If a student gets a problem wrong, a brief explanation of how to do the problem is given. This should take about ½ hour. After the Quiz, the student is directed towards other websites that offer further practice and explanation.

Math Worksheet Land – This site has a wonderful assortment of high quality, well-designed worksheets that actually make math practice seem like fun. They’re sorted by math topic and grade level. Many of the worksheets include guided lessons. All of them are aligned to the common core math standards. Answer keys are downloadable separately.

Middle School Math 6th Grade – The content available on the Georgia Department of Education’s Shared Resources Website is available for anyone to view. Courses are divided into modules and are aligned with the Georgia Performance Standards.

Middle School Math 7th Grade – The content available on the Georgia Department of Education’s Shared Resources Website is available for anyone to view. Courses are divided into modules and are aligned with the Georgia Performance Standards.

Middle School Math 8th Grade – The content available on the Georgia Department of Education’s Shared Resources Website is available for anyone to view. Courses are divided into modules and are aligned with the Georgia Performance Standards.

Surprises in Mind – An online video documentary on learning mathematics for K-8 teachers and administrators; 1 one-hour video program. Many people – in and out of school – find mathematics frustrating, difficult, even impossible. This documentary uncovers a surprise: mathematical creativity – expressed in art, architecture, and music and valued by industry – is built into the brain and can flourish under the right conditions. A remarkable 12-year study following students from first grade through high school demonstrates the brain’s surprising natural abilities for learning math. The study, led by Professor Carolyn Maher of Rutgers University, brought results that are corroborated by new research from leading cognitive psychologists. Discover ways to unlock this natural human gift for mathematics in classrooms, workplaces, and homes. Produced by the Harvard-Smithsonian Center for Astrophysics. 2001.


High School

Math Worksheet Land – High school math worksheets are a lot harder to find than elementary math worksheets, so I really appreciate this site’s collection of worksheets for advanced subjects such as algebra, geometry, trigonometry, quadratic equations, and statistics/probability. Other topics include graphing, logarithms, scientific notation, exponents, logic, etc. Many detailed step-by-step walkthroughs are included.

Algebra in Simplest Terms – This video instructional series provides a step-by-step look at algebra concepts for high school and college students and adult learners; 26 half-hour video programs. In this entertaining series, host Sol Garfunkel, Ph.D. explains how algebra is used for solving real-world problems and clearly explains concepts that may baffle many students. Graphic illustrations and on-location examples help students connect mathematics to daily life. Use these videos in conjunction with any algebra textbook/ curriculum. The series also has applications in geometry and calculus instruction, and it’s valuable for anyone who wants to review the subject matter. Produced by the Consortium for Mathematics and Its Applications and Chedd-Angier. 1991.

AlgebraHelp – This site provides a collection of long, detailed lessons created to help people learn algebra in new and innovative ways. Each lesson walks users through the basics of a particular algebra topic, providing background, theory, and a few examples. Calculators enable users to enter their own problem, from a textbook or homework assignment, and instantly receive a solution along with a step-by-step explanation. Interactive worksheets provide hundreds of sample problems with answer keys, automatic checking, and step-by-step explanations, enabling students to practice and improve their skills.

Algebra– Conceptual videos and worked examples from basic algebra through algebra 2. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Algebra – From Just Math Tutorials.

Geometry – Videos on geometry. After Basic Geometry list, videos assume you know introductory algebra concepts. After these videos, you’ll be ready for Trigonometry. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

High School Math 1-4 – The content available on the Georgia Department of Education’s Shared Resources Website is available for anyone to view. Courses are divided into modules and are aligned with the Georgia Performance Standards.

High School Mathematics – Parallel Alternative Strategies for Students (PASS) volumes written by Florida educators are free, ready-to-use resources in PDF format that may be reproduced or used as a workbook. The student volumes are presented in an easy-to-understand format for students seeking a standard diploma.

Jim Reed’s Home Page – Dynamic interactive high school mathematics resources from a retired teacher in Alberta, Canada, who says “I believe families have the right to educate their children at home and school boards have a duty to support this decision.” He has been developing online learning and teaching tools for several years to help students understand/remember the concepts and enhance their math intuition for real life applications. The math resources are divided into the 4 strands used in Western Canada: Number Concepts & Operations, Patterns & Relations, Shape & Space, and Statistics & Probability. Specific units include: Transformations, Logarithms, Conics, Trigonometry, Circles, Quadratics, and Relations.

Math Planet – Study math online – for free! If you are studying at high school or are preparing for college this is the perfect place for you. On these pages you will find all the theory needed to complete your math studies in four math courses: Pre-algebra, Algebra 1, Algebra 2 and Geometry. This site uses state of the art teaching methods, examples, and video lessons. Are you about to take the SAT or the ACT test? Here you will also find hundreds of examples and video lessons for the SAT and ACT. Mathplanet is free from commercials, ads and banners. Everything on this non-profit site is free to use and you don’t need to register.

Trigonometry – Videos on trigonometry. Watch the “Geometry” playlist first if you have trouble understanding the topics covered here. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Trigonometry – From Just Math Tutorials.

Precalculus – Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the “Algebra” playlist should make this playlist pretty digestible. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Calculus – Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Calculus – From Just Math Tutorials.

Highlights of Calculus – A series of short videos that introduces the basics of calculus and how it works. The intended audience is high school students, college students, or anyone who might need help understanding the subject. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand. The videos include real-life examples to illustrate the concepts. This High School course was developed by MIT. Professor Gilbert Strang has taught at MIT since 1962.

Probability – Basic probability. Should have a reasonable grounding in basic algebra before watching. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

Probability & Statistics – From Just Math Tutorials.

Probability: Random Isn’t So Random – A lot of events in our life seem random or impossible to predict. However, with probability theory we can learn more about these things to solve interesting problems that range from the lottery to diagnosing medical diseases. This course aims to teach some basic probabilistic concepts to help students grasp a more mathematical view of the world. No previous experience of probability is assumed. A High School course developed by MIT.

Statistics – Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course. (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

SAT Math Prep – Problems from the College Board “Official SAT Study Guide.” (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

California Standards Test: Algebra I – Sal works through the problems from the CA Standards released questions: http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf . Good videos to review Algebra I (The “Algebra I Worked Examples” playlist is more comprehensive and should probably be watched first).

California Standards Test: Algebra II – Sal works through 80 questions taken from the California Standards Test for Algebra II. Good place to review the major topics in Algebra II even if you’re not in California. Many of these topics are taught in more depth in the “Algebra” playlist.

California Standards Test: Geometry – Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Test at http://www.cde.ca.gov/ta/tg/sr/documents/rtqgeom.pdf. Basic understanding of Algebra I necessary.

Combinatorics: The Fine Art of Counting – Love math but bored in math class? This is the course for you! Combinatorics is a fascinating branch of mathematics that applies to problems ranging from card games to quantum physics to the internet. The only pre-requisite is basic algebra; however we will be covering a lot of material. A mathematically agile mind will be helpful. The emphasis in this course is on exploration of new topics in math for students in high school. This course will be especially useful for students preparing for contests such as the American Mathematics Competition, American Invitational Mathematics Examination, and USA Mathematical Talent Search. A High School course developed by MIT.

Math Glossary – A list of key terms that appear in Contemporary’s GED Mathematics. Click on the links within the definitions to view interactive flashcards for the key terms.

Brain Teasers – Random logic puzzles and brain teasers just for fun!

Mathematics Illuminated – This video course for high school and college level instruction explores mathematical concepts as tools for understanding real-world phenomena. The 13-part series explores major themes in the field of mathematics, from mankind’s earliest study of prime numbers to the cutting edge mathematics used to reveal the shape of the universe. Rather than a series of problems to be solved, mathematics is presented as play we engage in to answer deep questions that are relevant in our world today. Mathematics also provides us with a powerful language for uncovering and describing phenomena in the world around us. The program’s groundbreaking videos and interactive website reveal the secrets and hidden delights of the world of mathematics. Produced by Oregon Public Broadcasting. 2008.


Math Links by Subject

General Math

Homeschool Math – A comprehensive math resource site for homeschooling parents and teachers: find a homeschool math curriculum guide, free worksheets, math e-books for elementary grades, an extensive link list of games, interactive tutorials & quizzes, and teaching tips.

Singapore Math: Grade 3 – “We will (eventually) do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com” (From Khan Academy, a not-for-profit with the goal of providing a world-class education to anyone anywhere, completely free of charge.)

AAA Math – The AAAMath.com site contains thousands of pages of interactive arithmetic practice and free math lessons in basic math skills; math problems are randomly created. Unlimited practice is available on each topic which allows thorough mastery of the concepts. A wide range of lessons (Kindergarten through Eighth grade level) enables learning or review to occur at each individual’s current level. Immediate feedback prevents practicing and learning incorrect methods, which is a common result of traditional homework and worksheets. Practice can continue as long as desired in a non-threatening format which helps build self-esteem and confidence. There is no charge or registration required to practice your math on the AAAMath.com website.

S.O.S. Math – Free math review material for high school and college students in Algebra, Trigonometry, Calculus, Differential Equations, Complex Variables, Matrix Algebra. Browse more than 2,500 math pages filled with short and easy-to-understand explanations – from simplifying fractions to the cubic formula, from the quadratic equation to Fourier series, from the sine function to systems of differential equations. This is the perfect study site for high school, college students and adult learners. Check out their CyberExams to prepare for a test, or ask a question on the CyberBoard.

Free Math Help – A site for free math help in algebra, geometry, trigonometry, calculus, statistics, and more.

Math Goodies – Free Interactive Math Lessons, Homework Help, Worksheets, Puzzles.

Math.com – World of Math Online: Homework help, math practice, math games, and more.

Just Math Tutorials – Hundreds of free math videos. Topics include: Algebra, Arithmetic, Calculus, Differential Equations, Discrete Math, Linear Algebra, Probability and Statistics, Trigonometry, and Misc.

Math Cheat Sheets – A useful summary of a variety of important mathematical info!

Math Goodies – Since 1998, a math help portal with over 500 pages of self-paced interactive math lessons and resources for students, teachers, and parents.

Math Worksheets Center – The largest printable K-12 math collection on all core K-12 math skills for teachers, homeschoolers, and parents. NOTE: Many of them are free, but others require a paid membership.

Quia Mathematics – This site offers hundreds of math games, flashcards, and other activities. Search by keyword, activity type, category, or textbook.

Flashcards

Flashcards for Kids

1st-3rd Grade Math Flashcards

Manipulatives

Zome Educational Construction Toy – Architects, artists, engineers, NASA scientists and educators recognize the power of Zome, using it as a teaching, as well as a research and modeling tool. But kids are the real Zome wizards, creating fantastic everyday, fun objects such as airplanes, bridges, animals and academic objects like polygons, crystals, and school science projects as vast and brilliant as the mind itself. In the classroom and homeschool, Zome teaches algebra, scale, number sense, symmetry, proportion, geometry, DNA structure, trigonometry, and lots more. For ages 6 & up.

Cuisenaire – Manipulative-based educational and supplemental materials for K-12 math and science.

GeoGebra – An interactive geometry, algebra, and calculus application, intended for teachers and students from elementary school to university level. Most parts of GeoGebra are free software, and there are free educational resources and dynamic worksheets hosted on the website. See also: GeoGebra Step-by-Step Tutorial Series

Laptops in Lessons – Get the most out of laptop computers in mathematics lessons.

Lessons & Ideas for K’nex, Legos, Mindstorms & Capsela – How to integrate Legos & K’nex into your curriculum!

Mathematics Software – All software on this site is offered free for students and teachers of mathematics around the world to use and enjoy.

National Library of Virtual Manipulatives for Interactive Mathematics

Paper Models of Polyhedra – Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians, and artists for millennia. On this site are a few hundred paper models available for free!

MathBits – Learn how to use your TI-83+/84+ calculator. Includes calculator games.

Arithmetic

Arithmetic Practice

Basic arithmetic drills – Addition, subtraction, multiplication and division, with 1- or 2-digit terms, in digits, words, or Roman numerals.

Our-Montessori – Interactive Shockwave games for learning addition, subtraction, multiplication, and division.

Addition

AAA Math: Addition – Math exercises and lessons that include basic addition facts, adding whole numbers, fractions, decimals, and money.

Subtraction

AAA Math: Subtraction – Basic subtraction facts and skills to help you with your homework.

Multiplication

AAA Math: Multiplication

Interactive Multiplication Games

Multiplication Table Applet

Multiplication.com – Interactive games, worksheets, and quizzes that will multiply your math knowledge.

Megamaths – Fun & Challenging Times Tables Games & Printable Worksheets.

Division

AAA Math: Division – Basic division facts, problems, and practice.

Division Chart Exercise

Fractions

Fraction Flags – Online Math Game for Fractions.

AAA Math: Fractions – Dozens of colorfully illustrated pages with explanatory lessons and interactive practice games.

Hungry For Math: Fractions

Fraction Tutorial – Brush up on your fractions at this fun site from Kids Online Resources.

Fraction Videos – Watch these free fraction videos online and then click here for more. Produced by a math teacher/homeschool mom.

Fractions Flag Game – Play this online game and have fun creating flag designs with the designated fractions.

What is a Fraction? – Learn about the numerator, denominator, least common multiple, and other fraction facts.

Visual Fractions – On-Line Fraction Tutorial.

Pre-Algebra

Pre-Algebra Practice

Algebra

Algebra: An Introduction for Kids

Algebra Solutions – Solutions to problems, skills practice, and mini-lessons. Includes decimals, fractions, prime factorization, ratio and proportion, Pythagorean theorem, and more.

Algebra Help – Calculators, lessons, and resources.

Introduction to Algebra – Discusses and gives examples for several topics including variables, word problems, sequences, and how to simplify equations.

Algebra Worksheet Generator

The Algebra Experience

The Algebra Line – Presents an overview of algebraic subjects for review, with problems and solutions.

Algebra Vocabulary – Different games make learning these terms fun.

Geometry

Clock Geometry – This site is a visual presentation of Theo May’s clock geometry. Mr. May had the opportunity to do mental math with the only entertainment in his hospital room, a clock. He creates an analysis of the exact times when clock hands coincide, are at given angles to each other, or are symmetric around different clock axes. This is an excellent enrichment study for geometry or algebra students.

Geometry for Elementary School – Geometry is one of the most elegant fields in mathematics. It deals with visual shapes that we know from everyday life. This book is based on Euclid’s Elements. It intended for use by a parent (or a teacher) and a child. Although it is recommended that the parent have some familiarity with geometry, this is not necessary. The parent can simply read the chapter before teaching the child and then learn it together. NOTE: This book uses British English as the primary language. A printable PDF version of Geometry for Elementary School is available.

A 3-D Look At 3-D Geometry

Fractals Unit for Elementary and Middle School Students (that Adults are Free to Enjoy) – What are Fractals? They’re everywhere, those bright, weird, beautiful shapes called fractals. Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. This fractals site is for kids, to help them understand what the weird pictures are all about – that it’s math – and that it’s fun!

The Geometry Center – Geometry resources and references, with interactive Web and Java applications.

A Gallery of Interactive Geometry – Math that you can manipulate – QuasiTiler, Build a Rainbow, Oribifold Pinball, Projective Conics, CyberView, WebPisces, and more. These cool activities will help you get a “hands-on” feel for some of the fundamental principles of geometry.

Elementary Geometry Tutorial – Tips on lines, angles, segments, triangles, and more, with a glossary of terms.

Geometry – Review basic concepts such as area, perimeter, volume, symmetry, and more. Get graphics and try the quizzes.

GoGeometry from the Land of the Incas – Online Geometry, Theorems, Problems, Formulas, Mind Maps, Word Clouds, Software, Mining, Art, Golden Rectangles, Projects, iPad, Brain Tools, etc. This educational website offers a variety of resources for teaching and learning about geometry. It’s an eclectic mix of geometry, science, art, and Incan history in order to raise students’ interest in Euclidean geometry. Numerous problems are presented with step-by-step solutions for each proof. All the steps are colorful and animated.

How to Build Polyhedra – Give your students simple instructions and picture guides for creating about 40 polyhedra with only construction paper, white glue, and some patience.

Java Gallery of Interactive On-Line Geometry – Try your hand at these games.

Paper Models of Polyhedra – Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians, and artists for millennia. On this site are a few hundred paper models available for free!

StudyWorks! Interactive Geometry – Get a “hands-on” feel for some of the basic principles of geometry. Try all of the activities to help understand theorems and proofs.

The Geometry Center

Virtual Encyclopedia of Polyhedra – Everything you ever wanted to know about polyhedra, including a Pavilion of Polyhedreality with fun images and links.

Teaching Mathematics with Art – Engage your students with projects that help them visualize mathematics.  This site shows 4 projects that can be used at middle or high school levels. Lovely examples of students’ work and project instructions for the teacher are included.

Geometry Through Art– What Children Can Learn about Art and Geometry.

Shape and Space in Geometry

Graphing

Graph Aerobics – This PowerPoint music presentation lets students use their bodies to pose as different first and second degree graph shapes while moving with music. This activity can be used after students have completed a unit on graphing and have had opportunities to stand and try to pose their arms to demonstrate Y = X, Y = X², Y = X² – 4, etc. Very fun and slightly silly!

Online Graphing Calculator – Desmos has set out to re-imagine the graphing calculator from the ground up, building on the best technologies available, making math beautiful and surprisingly fun so everyone can learn and enjoy math!

Calculus

Karl’s Calculus Tutor

Calculus 101 – Calculus, Matrix Algebra, and Polynomials with step-by-step solutions.

Trigonometry

Dave’s Short Trig Course

Decimals

Decimals – Learn how to add, subtract, multiply, and divide with decimals. You can also find out how to convert fractions to decimals and percents.

Decimals – The basic concepts of decimal numbers, with graphics and quizzes.

Decimals: Fast Facts – Learn how to add, subtract, multiply, divide, and round decimals; includes a place value chart.

Metrics

Metric Matters – ThinkQuest tutorial about the metric system.

Measure It – Read a ruler in centimeters.

Metric Conversion Table

Money

Money Experience for Kids

Change Maker – Work with $1 or $100; pick coins or bills for change.

Counting Change Game

Coin Word Problems

Hip Pocket Change – A really cool site from the US Mint!

AAA Math: Money

Fleet Kids – Activities about money management,
investing, etc.

Investing For Kids – ThinkQuest project to learn about money and investing.

Moneyopolis – A financial planning game.

Logic & Reason

Appetizers & Lessons for Mathematics & Reason – Pure mathematics is based on deductive Euclidean logic. This site includes a short course in Euclidean logic, as well as some algebra, calculus, arithmetic review, and math study skills. Help your child learn and prepare for college studies. Site pages may enhance knowledge, ease fears and difficulties, and enrich mastery of mathematics, its logic and pattern-based reason.

Logic Puzzles

Math Patterns – The Annenberg Teacher’s Lab has a site about logic, number and word patterns and how they relate to math. Each type of pattern has fun activities, multiple grade suggestions and how they relate to NCTM standards. The activities let you try out the pattern recognition depending upon specific attributes.

Critical Thinking

Mission: Critical – An award-winning interactive tutorial for critical thinking.

Cut-the-Knot – Interactive Mathematics Miscellany and Puzzles.

Probability & Statistics

Probability Central – A simple five-part introduction to basic probability theory with a review quiz. Topics covered include probability properties, models, and rules. A poker game illustrates the laws of probability in a real-life situation, the probability calculator gives the likelihood of two different events happening at the same time, and there are also links to related sites.

Conversion Tables

Convert-me.Com – Interactive conversion table for weight, time, length, area, speed, pressure, and other measures.

Units of Measurement

How Many? A Dictionary of Units of Measurement – This site contains explanations of the English customary system, the metric system, and the International System of Units (SI). Includes an index of tables and scales.

Real World Math

Math in Daily Life

Math Careers – Cool Math Careers!

Math Works – This award-winning Web site shows students how industry professionals use mathematics in their careers.

Math Activities, Games & Challenges

AIMS Puzzle Corner – Give your students a fun way to develop creativity, divergent thinking, and persistence with over 100 interesting math puzzles. The puzzles are categorized by type, and within each category are listed in order of increasing difficulty. The puzzles have not been assigned a grade level because the ability to do a puzzle varies more by individual than by grade.

Brain Teasers – Grades 3,4,5,6,7+

Cool Math 4 Kids – An amusement park of math and more designed especially for fun!

Elementary Challenges

Fun 4 the Brain – All games here were made by Exuberant Games. Each game goes through important information for a certain subject matter for grades Kindergarten through 6th grade. The math games are great if you need to review your math facts for addition, subtraction , or division. Exuberant Games was created based on a passion and belief that kids can most certainly learn while they play. Math facts have to be reviewed in order to be mastered, so why not master your facts with games.

Math Game Time – These math games are fun, educational, and age-appropriate. Math Game Time was created by educators to help kids succeed. Their goal is to provide a fun, educational playground for students in Pre-K through 7th grade to excel in math.

Math Puzzles

Middle School Challenges

Educational Math Activities for Kids

Math Playground – Practice your math skills at this game site. Math topics include figuring area and perimeter of rectangles, tangrams and basic facts practice. Word problems are in one, two or three steps.

Untangling The Mathematics of Knots

The Arithm Attack – How Many Math Problems Can you Solve In 60 Seconds?

Math Problems

Math Challenges

Memory Games

Toy Theater Math – A page packed with interactive math puzzles and games, available for free to anyone with access to the internet. The site is aimed at preschool and primary school age children but is open to people of all ages. Teachers can use the menus at the bottom of the page to navigate the math activities by subject. Subjects include: Patterns, Same/Different, Shapes, Counting, Ordinal, More/Less, Directions, Addition, Subtraction, Multiplication, Grouping, Time, Algebra, Division, Graphs, Probability, Money, and Fractions.

Toy Theater Puzzles – Interactive logic puzzles and games, available for free to anyone with access to the internet. The site is aimed at preschool and primary school age children but is open to people of all ages, even you!

Tangrams

A Brief History of Tangrams (Logicville)

Easy Pattern to Make your Own Perfect Tangram Set (Logicville)

University of Utah’s Free Online Tangram Game

Topology

Topology is the mathematical study of 3D surfaces, shapes and spaces; specifically it is the branch of geometry that deals with distorted shapes and the properties that are preserved even when deformed by stretching, twisting, and bending. Topology also deals with visual conundrums such as the Mobius Strip, Trefoil Knot, and Klein Bottle.

http://www.mychildmalaysia.com/topic/777/Topology+for+Kids – Topology for Kids

http://2000clicks.com/MathHelp/BasicSetTopologyKidsintro.aspx – Kids Intro to Topology

http://www.dadcando.com/default_DOING.asp?project=MobiusStrip&catagory=Experiments&lhs=Experiments – Mind Bending Adventures in Topology with a simple-to-make Mobius Strip.

http://toomai.wordpress.com/2008/05/25/more-experimental-topology-and-experiments-in-topology/ – Math With My Kids: More Experimental Topology and Experiments in Topology.

http://britton.disted.camosun.bc.ca/jbrubbergeom.htm – Rubber Geometry

http://www.math.wayne.edu/~rrb/topology.html – What is Topology?

http://www.math.osu.edu/~fiedorowicz.1/math655/ – Math 655 is an introduction to the history of topology and the basic concepts of modern topology.

http://www.carliner-remes.com/jacob/math/project/– “Math That Makes You Go Wow,” an innovative multi-disciplinary project by a group of Yale undergraduates that provides an interesting take on some topological topics.

Math Questions & Answers

Ask Dr. Math

Free Math Help – Math message board provides help to students learning algebra, geometry, calculus, and more. Site also offers lessons, games, calculators, and other tools.

Famous Mathematicians & Math History

MacTutor History of Mathematics Archive – Over 1000 biographies.

Math Vocabulary

A Maths Dictionary for Kids – An animated, interactive dictionary that explains over 600 common mathematical terms and math words in simple language.

Math Dictionary for Kids

Harcourt Multimedia Math Glossary – Click on Glossary.

MathWords – An interactive math dictionary with enough math words, math terms, math formulas, pictures, diagrams, tables, and examples to satisfy your inner math geek. Terms and Formulas from Beginning Algebra to Calculus.

Teacher Resources

AAA Math Lesson Plans

Education Planet Math Lesson Links

Internet-Based Lessons

Math.com for Teachers

Math.com for Parents

Math Forum – Math Web Units, Lesson Plans, and More Resources.

The Most Common Errors in Undergraduate Mathematics – A good site about common math mistakes, not just computational errors but also errors in communication and reasoning. Interesting! A must-read for teachers.

Principles and Standards for School Mathematics

Mathematical Association of America

Printables & Worksheets

Math Worksheet Creator

Free Worksheets – Primary Worksheets – Sharpen your math skills with these fun worksheets that cover six levels. Includes ordering, long multiplication, and place values.

Printable Math Fact Drill Sheets

Math Libs

Mrs. Glosser’s Math Goodies

Math Counting Shape Worksheet

Math Number Worksheet

Make Your Own Worksheets

National Library of Virtual Manipulatives for Interactive Mathematics

Math Charts – A collection of over 200 printable maths charts suitable for interactive whiteboards, classroom displays, math walls, student handouts, homework help, introduction and consolidation of mathematical topics and other math reference needs. The maths charts include definitions and examples covering Numbers, Operations on Numbers, Fractions, Decimals, Percent and Percentages, Ratios and Rates, Beginning Algebra, Data and Statistics, Probability, Geometry, Measurement, Time and Money.

Videos

Mathmaster – Mathmaster.org is a free resource where students can make use of the extensive video library and endless supply of printable math worksheets from any computer with access to the web. The video library covers K-12 math, science and other topics. Each video is approximately 10 minutes long and easy to follow.

Mathtrain.TV – A free, educational “kids teaching kids” project from Eric Marcos and his students at Lincoln Middle School in Santa Monica, CA. Usually videos are seen as tools for entertainment and games, but they can also have a powerful educational impact. Eric Marcos and his students make explanatory videos every day after school. The students have discovered that the best way to learn is by teaching others.

WOWMath – Need help with Algebra 1 & 2 or AP Calculus AB? This website can help you. The videos and solutions were created by Brad Robb, an AP Calculus AB and Algebra 2 teacher who has created over 600 math videos and put them on YouTube. Also includes iPhone/iPod apps.

YAYMath – The YAY MATH video project is a free service dedicated to meeting the growing need for math success in a POSITIVE, LIVELY, and CONFIDENCE BOOSTING way. YAY MATH is the only online video lesson series filmed in a live classroom, with real student interaction. It’s the live student interaction that sets this project apart from any other online tutorial out there, making it genuine and offering the feeling that anyone watching is in the room too.

Word Problems

Word Problems For Kids – Problems are classified into grade levels from Grade 5 to Grade 12; sets of carefully selected problems to help improve problem solving skills.

Figure This – Math problems for middle school students.

Math Lab – Free online mathematics tutorials, free math word problems, free problem-solving worksheets, and more.

Math Story – Math poems, math songs, math stories, math videos, and other math resources for creative teachers, homeschoolers, and students of all ages! Mr. R.’s World of Math is a teacher-created collection of math videos, poems, stories, songs, and challenges to help students master basic math functions. In addition to videos there are printable student handouts for the math challenges and several powerpoint demonstrations.

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