The Math Forum Home Page The Math Forum has a rich history as an online hub for the mathematics education community. A debt of gratitude is owed to the dedicated staff who created and maintained the top math education content and community forums that made up the Math Forum since its inception. NCTM will continue to make many of the most popular parts of the Math Forum content accessible to the mathematics education community. We hope that you will join or continue to be a member of the NCTM community to access even more high-quality resources for teaching and the learning of each and every student. Problems of the Week The Math Forum created Problems of the Week as an integrated program that features problems by standard and additional teacher support materials. Continue Your Math Education Conversations in MyNCTM! MyNCTM is an online community where NCTM members can ask questions, network and connect with each other, start and join discussions, find and upload resources, and interact with education experts.
Mysterious number 6174 March 2006 Anyone can uncover the mystery The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. Kaprekar's operation In 1949 the mathematician D. It is a simple operation, but Kaprekar discovered it led to a surprising result. When we reach 6174 the operation repeats itself, returning 6174 every time. We reached 6174 again! A very mysterious number... When we started with 2005 the process reached 6174 in seven steps, and for 1789 in three steps. Only 6174? The digits of any four digit number can be arranged into a maximum number by putting the digits in descending order, and a minimum number by putting them in ascending order. 9 ≥ a ≥ b ≥ c ≥ d ≥ 0 and a, b, c, d are not all the same digit, the maximum number is abcd and the minimum is dcba. We can calculate the result of Kaprekar's operation using the standard method of subtraction applied to each column of this problem: which gives the relations for those numbers where a>b>c>d. How fast to 6174? and
Math puzzles These puzzles do not require any mathematical knowledge, just logical reasoning. Check, how smart you are. If you cannot solve them, take it easy. Almost all puzzles were told to us by a computer/math genius Vlad Mitlin . Visit us again: we intend to place here new puzzles and the solutions. Please email us your comments and new puzzles: cherk@math.utah.edu. Andrej and Elena 1. Click here 2. A group of four people has to cross a bridge. Solution: Click here To see the animated solution, you need a browser which supports JAVA 3. The distance between the towns A and B is 1000 miles. Generalize the strategy for an arbitrary amount of apples. More problems from Vlad Mitlin Party! There is a group of people at a party. Digits Show that for any natural n, at least one of two numbers, n or n+1, can be represented in the following form: k + S(k) for a certain k, where S(k) is the sum of all digits in k. Zen problem A Buddhist monk got an errand from his teacher: to meditate for exactly 45 minutes. King
Search Looking Back and Moving Forward Pre-K-2, 3-5, 9-12 This final lesson of the unit reviews the work of the previous lessons through a variety of activity stations, one of which involves using an interactive graphing tool. Students model with buttons and record addition and subtraction. Counting Embedded Figures Students look for patterns within given data and form generalizations for the problem, thereby sharpening the algebraic skills of the students. Building Connections This lesson focuses on having students make connections among different classes of polynomial functions by exploring the graphs of the functions. Counting Embedded Figures This grades 7-12 activity allows students to look for patterns within the given data. Explorations with Chance In this lesson, students analyze the fairness of certain games by examining the probabilities of the outcomes. Exploring Linear Data Students model linear data in a variety of settings that range from car repair costs to sports to medicine.
Women Mathematicians, Sponsored by Agnes Scott College Welcome to the web site for biographies of women in mathematics. These pages are part of an on-going project at Agnes Scott College in Atlanta, Georgia, to illustrate the numerous achievements of women in the field of mathematics. Here you can find biographical essays or comments on the women mathematicians profiled on this site, as well as additional resources about women in mathematics. Each time this page is reloaded, a randomly selected photo is displayed to the left (if Javascript is enabled). Click on the image to go to the profile of that woman. We also welcome contributions of biographical information or essays from those outside Agnes Scott College. Did you know? The AWM Research Symposium 2015 will be held at the University of Maryland, College Park, April 11-12, 2015. AWM Biographies Contest Agnes Scott College, founded in 1889, is a private liberal arts college for women in Decatur, a part of Atlanta, Georgia. Looking for college scholarships for women?
100 Incredible Open Lectures for Math Geeks While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates. You can indulge your love of mathematics in these great lectures and lecture series, which are a great diversion for those diligently working toward traditional or online master’s degree programs in mathematics. Some are meant to review the basics and others will keep you on the cutting edge of what renowned researchers are doing in the field, but all will help you expand your knowledge and spend a few hours enjoying a topic you love. Basic Math These lectures cover some pretty basic mathematical issues that can be a great review or help younger math lovers get a handle on a subject. Metric Conversions: This lecture will teach you the formulas you need to switch between metric and English units. Calculus Algebra In these lectures you’ll learn about a wide range of topics in algebra. Geometry Physics
Mathematical Puzzles Interactive Mathematics Miscellany and Puzzles Excellent. Ken Duisenberg's Puzzle of the Week A good archive to dip into. MathPuzzle.com The webmaster, Ed Pegg Jr, is a twenty year member of the National Puzzler's League, and frequently contributes to the New York Times crossword, Games, and National Public Radio's Sunday Puzzler. The MathSoft Math Puzzle Page Mathematical puzzles featured here have been previously published in Allan Gottlieb's column in the Tech Review. Nick's Mathematical Puzzles The puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution. The Null Set - Mathematical Puzzles A good selection of puzzles, by Guy Kindler at Tel Aviv University, graded from simple to tough - but most requiring some undergraduate maths knowledge. Number and Word Puzzles 44 monthly puzzles provide entertainment and education for all ages on this Australian website. The Puzzlet Page Enjoy mental workouts? The Puzzling World of Barry R.
Common Core | BetterLesson math english language arts Kindergarten Counting & Cardinality Operations & Algebraic Thinking Number & Operations in Base Ten Measurement and Data Geometry First Grade Operations & Algebraic Thinking Number & Operations in Base Ten Measurement and Data Geometry Second Grade Operations & Algebraic Thinking Number & Operations in Base Ten Measurement and Data Geometry Third Grade Operations & Algebraic Thinking Number & Operations in Base Ten Numbers & Operations-Fractions Measurement and Data Geometry Fourth Grade Operations & Algebraic Thinking Number & Operations in Base Ten Number & Operations—Fractions Measurement and Data Geometry Fifth Grade Operations & Algebraic Thinking Number & Operations in Base Ten Number & Operations—Fractions Measurement & Data Geometry Sixth Grade Ratios & Proportional Relationships The Number System Expressions & Equations Geometry Statistics & Probability Seventh Grade Ratios & Proportional Relationships The Number System Expressions & Equations Geometry Statistics & Probability Eighth Grade Geometry
Fibonacci Number The Fibonacci numbers are the sequence of numbers defined by the linear recurrence equation with . The Fibonacci numbers for , 2, ... are 1, 1, 2, 3, 5, 8, 13, 21, ... Fibonacci numbers can be viewed as a particular case of the Fibonacci polynomials Fibonacci numbers are implemented in the Wolfram Language as Fibonacci[n]. The Fibonacci numbers are also a Lucas sequence , and are companions to the Lucas numbers (which satisfy the same recurrence equation). The above cartoon (Amend 2005) shows an unconventional sports application of the Fibonacci numbers (left two panels). A scrambled version 13, 3, 2, 21, 1, 1, 8, 5 (OEIS A117540) of the first eight Fibonacci numbers appear as one of the clues left by murdered museum curator Jacque Saunière in D. The plot above shows the first 511 terms of the Fibonacci sequence represented in binary, revealing an interesting pattern of hollow and filled triangles (Pegg 2003). ends in zeros. The Fibonacci numbers give the number of pairs of rabbits is given by .
Math Puzzles 2012 Puzzle | 2011 Puzzle | 2010 Puzzle | 2009 Puzzle | 2007 Puzzle 2006 Puzzle | 2005 Puzzle | 2004 Puzzle | 2003 Puzzle | 2002 Puzzle | 2001 Puzzle 2000 Puzzle | 1999 Puzzle | 1998 Puzzle - Judy Ann Brown Use the digits in the years 2009, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, or 1998 and the operations of +, -, x, ÷, sqrt (square root), to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. All the King's Digits - Terry Trotter Challenge: Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and the operations of +, -, x, ÷, sqrt (square root), cbrt (cube root), ^ (raise to a power), and ! 1997 Puzzle - Ruth Carver - 1996 Puzzle Challenge: Using the digits in 1997 or 1996 and any operations, try to write equations that have the numbers from 0 to 100 as the answer. Four 4's Puzzle - Ruth Carver Challenge: Using four 4's and any operations, try to write equations that have the numbers from 0 to 100 as the answer.