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A View from the Back of the Envelope - Mitchell N. Charity Pages about approximation. Counting by powers of ten includes the "what order of magnitude is ...?" game, illustrated instructions for counting to ten billion on your fingers, and lots of dots -- a million dots on one page, and a dot for every second in the day, with a real-time count-down graphic. The section on scaling the universe provides ways to visualize how big things are using analogies and examples, covering nanometers (nm), micrometers (um), millimeters (mm), meters (m), kilometers (km), megameters (Mm), gigameters (Gm), terameters (Tm), and petameters (Pm). How to simplify a number by rounding, rounding to an order of magnitude, sliding the decimal point, and using a number you can remember; this section also offers some calculations comparing the volume and surface area of a sphere and a box. Exponential notation discusses sliding the decimal point, order of magnitude and rounding to it, and scientific notation and how to write and speak it. Fermi questions examine rough quantitative estimates about the world: the "What order of magnitude is ...?" game, a Pinocchio estimation game, an order of magnitude investigation into the emulsification power of raw eggs in the making of mayonnaise, reflections on Why be approximate? and On Being Approximate, and a few notes on landmarks, bounding, and honesty. The scale of some things: people, people-seconds, volume, area, length, time, mass, energy, area, the ratio surface volume-to-density, speed, volume rate (how fast volume flows, shifts, accumulates, or drains), and power. The section on developing "deep" understanding addresses brevity as a measure of comprehension, and getting a feel for big numbers, with examples on picturing altitude above maps, teleportation, probing near space with a flashlight, and atomic bonding. Body ruler measuring covers length with your body: measuring angle and distance with your thumb. Additional resources include the 1957 book Cosmic View: The Universe in 40 Jumps laid out on web pages. more>>

All Sites - 71 items found, showing 1 to 50

Air Pollution: A Local and Global Problem - Karen Bardeen Students investigate the problem of air pollution in a given location and research possible solutions using a variety of tools (laboratory technology, Internet resources, multimedia technology, etc.). Mathematics goals include estimating, making, and ...more>> At Home with Math/Diez Actividades Cotidianas para Padres y Ninos - TERC, Inc, and Ceridian Corporation Ten activities designed to engage children in arithmetic, estimation, measurement, problem-solving, and other important math skills in the context of ordinary life at home. These activities are designed for children ages 5-11 and their parents, and are ...more>> BasketMath Interactive - Robert Cummings, Science Academy Software Science Academy Software's BasketMath online interactive application drill and practice site offers auto-scoring questions in arithmetic, rounding and writing numbers, order of operations, factoring, adding or multiplying signed numbers, calculating perimeter ...more>> Boomerang (SMILE) - Wilhelm L. Lilly, Kenwood Academy High School A lesson for grades 4-12 designed to teach students to estimate angles in degrees and distances in feet or meters; collect data and analyze a histogram; and (optionally) study gyroscopic precession and aerodynamics. From the Recreational and Creative ...more>> Bowland Maths - Bowland Charitable Trust Case study problems and lessons designed to develop thinking, reasoning and problem solving skills in UK math pupils ages 11-14. In particular, download series of stand-alone assessment items that challenge students to estimate the number of descendants ...more>> Collaborative Maths Resources - Collaborative Learning Project Freely downlaod PDFs of "talk-for-learning" lesson plans such as "12 and 24 hour Card Sorting" (clock times), "Buy a Ted" (collect all the parts of a teddy bear, which introduces the concepts such as exact amounts and making change), "Factors Four in ...more>> Cube-It - Education Development Center, Inc. (EDC) A math group activity: you will need fifty cubes per group. Gather sugar cubes, wooden cubes, units from Dienes blocks or Cusinaire rods, or any manipulative that has a cubical shape. Students will: estimate the dimensions of the largest cube that can ...more>> Cuisenaire Math - ETA/Cuisenaire From the makers of Cuisenaire Rods: Connecting Cuisenaire Rods, Cuisenaire Roddles (board games and puzzles that emphasize spatial reasoning skills), Cuisenaire Rods for the Overhead, Magnetic Cuisenaire Rods, and other manipulatives. Publications include ...more>> Digital Math - Santa Barbara County Education Office A site to assist Algebra I, Grade 7, and Grade 6 students, their parents, and educators with the California State Mathematics Content Standards. Log in for Quicktime that provides step-by-step instruction to solve problems aligned with the mathematics ...more>> DLK MathsWork Software Self-differentiating, topic-specific math software for Windows 3.1 and above, on number, shape and space, and data handling. All of the practice modules have on screen monitoring at three levels. Six problem modules designed to improve users' application ...more>> Dr. Freemath - Bob Pawloski, Office of Internet Studies, University of Nebraska - Omaha Archives of a project where elementary classes asked mathematics questions of the Omaha Free-Net, Project TEAM Internet (UNO), and the Technology Task Force of the Eastern Region Math and Science Coalition. Questions and answers range from "At the speed ...more>> Eating on a Budget - Nancy Roeban; SCORE Mathematics You have won a $25.00 gift certificate to the Grist Mill Resturant and Bow Mills Pub for a dinner. You will choose an appetizer, salad, and beef or seafood for your dinner. The catch is, you'll need to stay within the $25.00 budget. Aligned to the California ...more>> Elementary Thoughts: A Collection of Gail's Responses - Gail Englert A collection of Gail Englert's responses to questions from elementary and middle school teachers, parents, and students, in the Teacher2Teacher service. Covers a wide range of elementary mathematics topics, as well as teaching points. ...more>> emGames - Wright Group/McGraw-Hill Twelve Shockwave games aligned to the Everyday Math curriculum for the early grades. Game topics include the basic operations (including angle addition), place value, money, estimation, factoring, and choosing the larger of two numbers. Many games involve ...more>> Encarta Online - Microsoft Corporation Browse or search for math lessons and activities for K-12 students and teachers, from problem solving to probability and more. ...more>> Estimating and Counting Money (SMILE) - Omega L. Minor-Clark, R. Nathaniel Dett Elementary School A lesson designed to review estimating and rounding to the nearest dollar; teach skills and practice in counting money; and give students experience in estimating sums and products. From the Practical and Applied Math section of a collection of almost ...more>> Estimation Contest (SMILE) - Sandra A. King-Bryson, Saucedo Magnet School A lesson that uses breakfast cereal to give students a concrete understanding of the subtle difference between a guess and an estimate. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the Science and ...more>> Estimation (SMILE) - Iona Greenfield, Carnegie Elementary School A K-1 lesson designed to teach students to solve problems by guessing and checking; to identify length by using informal units to estimate; and to guess and write an addition and subtraction sentence for the number of peas in a pod. From the Geometry ...more>> Estimation (SMILE) - Theresa W. Akpan, Wells Community Academy A lesson for grades 5-8 designed to teach students to estimate numbers of objects by sampling; and to contrast and compare sampling with guessing. From the Practical and Applied Math section of a collection of almost 200 single concept lessons by the ...more>> The Excellent Adventure - Shawsheen Valley Technical High School, Billerica, MA A math-based cross-curricular site where students take a trip from Philadelphia down the East coast to Disney World, with several required stops and activities along the way. A teacher's guide, worksheets, and activities are provided: students figure ...more>> Excel Math - AnsMar Publishers, Inc. Excel Math is a mathematics curriculum for Kindergarten through Sixth grade students. Students are repeatedly given practice in the use of the concepts, following their introduction, so that they retain them and develop a solid foundation on which to ...more>> Fast Arithmetic Tips - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny Specific tips for three broad categories of rapid math: offensive (for the purpose of getting a result fast), defensive (for the purpose of discounting a result fast), or entertaining (for stunning your friends with math magic!). The entertaining category ...more>> Fermi Questions - Sheila Talamo Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that "word problems" have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage ...more>> Figure This! Math Challenges for Families - National Council of Teachers of Mathematics (NCTM) Elementary-level problems with hints, information about when and why answers matter in the real world, suggestions for getting started, and answers with explanations. A Challenge Index lists problems by topic. Examples include: Line Up! (How long do you ...more>> The Fizz & Martina Math Series (Grades 1-6) - Tom Snyder Software Each of the 4 titles of Fizz & Martina Math teaches students the process of "talking math." There are cooperative learning activities, student materials, and follow-up activities. Students work in teams to solve the problems, sifting through numbers ...more>> Fractals in Science: Simulations - Center for Polymer Studies, Boston University Hands-on activities, laboratory experiments, and interactive visualization programs that encourage students to explore how fundamentally random microscopic events can give rise to fractal macroscopic patterns. An image gallery and fractal related software ...more>> Gamco Education Materials: Educational Software for K-12 Programs for Macintosh and Windows, with downloadable demo versions. Math programs include: Skillbuilders (perimeter, area, volume, whole numbers, fractions); Paws and Pyramids (perimeter/area/volume game); Word Problem Square Off Series; Touchdown Math ...more>> GED Math Instruction - Myrna Manly; The Math Forum A recommendation that calculator use be integrated into GED mathematics instruction. Implicit in this recommendation is the mandate to use calculators properly and intelligently. The ability to "bestimate" is the key ingredient that separates an intelligent ...more>> Hope's Mathematics Books for Teachers - Hope Martin A collection of math activity books to order for elementary, middle school, and high school students, written by Hope Martin: What Year am I?: A Math Warm-up a Day, Multiple Intelligences in the Mathematics Classroom, 730 Daily Math Warm-ups, Integrating ...more>> How do You Stack Up? Revisited (SMILE) - Robert Foote, Walt Disney Magnet School A lesson designed to teach students to estimate the number of pennies, nickels, dimes and quarters in plastic bags; build stacks of each type of coin; find the thickness of a penny, nickel, dime and quarter after measuring their stacks; measure to the ...more>> How Much is a Million? (SMILE) - Sharon Simmons, Joseph Stockton Elementary School A lesson for grades 7-8 designed to teach students to estimate how much a million of something weighs. From the Recreational and Creative Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for ...more>> Humanity's Life Span (Math Chat) - Frank Morgan, MAA Online Challenge: Estimate the life span of the human race. Answer: Al Zimmermann says with 80% confidence that we have between 100,000 and 10 million years to go. Perhaps another million years is the best guess. (By comparison, the dinosaurs reigned for over ...more>> Interactive Games - Cathleen J. Chamberlain and Mark Cogan, Oswego City School District Design matching games and quizzes. Pre-made games include Ghost Blasters and Sum Sense, for practicing arithmetic; Banana Hunt, for estimating angle measures; Bang on Time, Class Clock, and Stop the Clock; Billy Bug, for learning coordinates; Fraction ...more>> An Introduction to Data Reading and Computations (SMILE) - Christeen Brown, Robert Fulton Elementary School A lesson for grades 3-5 designed to teach students to identify data on the horizontal (x) axis and vertical (y) axis; read numbered pounds on a weight scale; estimate pounds upon sight before being given a known weight; identify actual weight; understand ...more>> An Introduction to Estimation and Measurements (SMILE) - Christeen Brown, Robert Fulton Elementary A lesson for grades 3-5 designed to teach students to convert ounces to pounds; measure liquids; describe measurements in sizes; measure volumes; understand the importance of knowing and using the measurements; observe shapes and sizes in measurements; ...more>> Invest Smart - David Leung, George Lee, and Andy Kim Learn about the stock market and investment techniques. A Market Simulation lets classes, clubs, or individuals invest an imaginary $100,000 and track the results; includes a separate mutual funds simulation. Site also contains information about saving ...more>> Junk Food Math (SMILE) - Sharon Ross, DeWitt Clinton School A lesson for grades 3-4 designed to teach students estimation and to introduce percentage. From the Graphs and Visuals section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement. ...more>> KS3 Maths Homework Series - Stafford Burndred; Pearson Publishing (U.K.) A series of 6 homework packs providing 180 different homework sheets covering levels 3-8 of the UK National Curriculum (ages 11-14). Each pack addresses a separate level, and exercises use a speed marking system so that a full class can be marked in about ...more>> Mangahigh.com Math Games - Blue Duck Education Ltd A games-based math learning environment built around the UK's national curriculum. Mangahigh.com's online quiz game, Prodigi, adaptively coaches students aged 10-16 with worked examples, full hints, and solutions. Other interactive games include "Save ...more>> Math Around Us - Williams, Buccola, Moderators; KIDPROJ/KIDLINK Students participating in the Math Around Us project will explore different ways to look at math in the real world. A new activity is introduced each month from October through May; you can register and participate in all or part of the project. Math ...more>> Math Curriculum - Educational Explorers A computer program for third grade, fourth grade, fifth grade, and sixth grade students to study mathematics, language and geography skills. The program contains 200 problems and their answer in English and Spanish, some of which can be accessed free ...more>> Math Review/Geography - Wally Cox; SCORE Mathematics A lesson designed to review math and map skills and improve geographic knowledge of Europe, using students' basic knowledge of percents, area, map reading, estimating, and rounding. A three-inch strip of paper will be needed. Aligned to the California ...more>> Maths Concept Maps - New Zealand Council for Educational Research This is a series of framework statements that have been developed in significant areas of mathematics. They provide information about the key mathematical ideas involved, link to relevant ARB resources, and suggest some ideas on the teaching and assessing ...more>> Math Stories.com: House of Math Word Problems for Children - MathStories.com, Inc. Word problems for grades 1-6, singly and in interactive or printable worksheets. Problems cover all five major math strands, and include open-ended and critical thinking problems. Problems are aligned to state and NCTM standards, and available in English ...more>> Measurements In The Metric System (SMILE) - Christine Fair, Farragut Career Academy A 3rd grade lesson designed to teach students to estimate and then measure to the nearest inch and centimeter. From the Geometry and Measurement section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for ...more>> Measuring Up, Prototypes for Mathematics Assessment - National Academy of Sciences An electronic version of Measuring Up, a book on assessing students in accordance with the NCTM math standards by the National Research Council that provides examples of problems students should be able to solve at a fourth grade level and insights on ...more>> M&Ms: Line Plots and Graphing - Deanna Lehar; SCORE Mathematics Using small individual bags of M&Ms, students do activities including estimating, sorting, graphing, mean, median, mode, and averaging. From the Schools of California Online Resources for Educators SCORE Mathematics Lessons. ...more>> Moneybee Multiplayer Pre-Algebra - Jordan Pollack Interactive peer tutoring site where pairs of learners create "coin puzzles" for each other to solve. Requires free registration, as this is an educational psychology research project. ...more>> Monthly Cost of Living - Food - Ric Cooley; SCORE Mathematics Students determine how much they would need to feed a family for a month, plan meals, and use Internet grocery stores to find the cost of individual food items. Aligned to the California State Standards. From the Schools of California Online Resources ...more>> Numeracy Games - James Barrett Flash games in number facts (including funky mummy and brilliant beadstring), counting (funny fingers and duck shoot), bridging through 10 (techno tortoise and +/- number lines), time (hickory dickory and fairy clock), shape and measures (shifting shapes), ...more>>

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