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Dear Teachers, Welcome to MatheMagic!™ MatheMagic!™ is a real theatrical magic

Dear Teachers, Welcome to MatheMagic!™ MatheMagic!™ is a real theatrical magic show with music, costumes, comedy, and illusions. In this fun format, kids (unknowingly) practice classroom skills, i.e., math facts and problem-solving. In the course of the show, we discover that the first “magicians” were really mathematicians! (By using math they were able to “do the impossible”.) We then go on to learn about mathematical contributions from the Egyptians, Greeks, Romans, Indians, Chinese and other cultures. This approach enables us to engage and challenge students of different ages and abilities with facts and ideas they can all understand. There is audience participation throughout in which thinking skills are encouraged. By adjusting the content of the program, we are able to accommodate several grade levels at a time from K-8. In preparing the students, you need only tell them that they are going to see a magic show about math. As with all programs and cultural arts events, it's helpful to talk to class about good audience behavior. The enclosed math tricks have different levels of difficulty for grades three and up. Even some second graders can do the Binary Trick Cards on pages 9 and 9A. We recommend that you save these for after the show when the kids are “psyched” about the possibilities of math. (We'll be giving out an additional handout during the performance.) Kindergarteners, first graders and second graders are encouraged to write about or draw pictures of the show. In short, we hope to provide you with an exciting program that will stimulate, fascinate, and motivate your students not only with regard to math, but also to science, history, vocabulary and ancient civilizations. (Also, don't be surprised if there is a run on the magic books in the school library!) Wishing you all the best for a good year, Bradley Fields Owner/Artistic Director Bradley Fields Magic Productions Website: www.mathemagic.com email: bradley@bradleyfields.com MatheMagic!™ (A Teacher's Guide to post-show activities) Adding 100 Numbers Two hundred years ago in Germany, the teacher of an unruly class set his students a task designed to keep them quiet for the rest of the day: Add all the numbers from zero to one hundred. Instantly, one six-year-old came up with the solution. He was Karl Friedrich Gauss who went on to become one of the world's great mathematicians. Magical Effect: Duplicate Gauss's trick and convince your audience you are a mathematical genius. Secret: Example Arrange the numbers in fifty pairs, each adding up to 101: 1+100=101 2+ 99=101 3+ 98=101 4+ 97=101 etc. to: 50+51=101 Since you have 50 pairs of numbers which equal 101, simply multiply: 50 X 101=5,050 To multiply by 50 with mathemagical speed, first multiply by 100 (add two zeros), then divide by 2. Hint: To make the trick more mystifying (after all, you could have easily memorized 5,050), invite the audience to give you any starting number and add the 100 numbers from there. Example: To add the hundred numbers starting 25 and ending with 124 a) Add 25+124=149 b) Multiply 149 X 100 = 14,900 c) Divide 14,900 / 2=7,450 Mathemagic! --2 Lightning Multiplication Magical effect: Prove you can multiply double-digit numbers instantaneously! How to perform: Example Ask your audience to name any two-digit number ending in 5 35 Announce that you will square it in your head. Without hesitating, give the answer: 1225 Secret: Take the first digit of the number the audience gave you: 3 Add 1 3 + 1 X 4 __________ Multiply these two numbers 3 X 4 12 Tag on 25 to the end 1225 Hint: To make your performance more impressive, invite the audience to use a calculator and race you in squaring numbers. Always give the whole number when you announce the answer (one thousand, two hundred, twenty-five, rather than twelve Mathemagic –3 Birthday Mind-Reading Magical effect: Guess the age and birth-month of anyone in your audience. How to perform: Ask someone to concentrate on the Example number that corresponds to her birthday month (January is 1, February is 2, March is 3, etc.) January-- 1 Then tell her to do the following calculations but keep them hidden from you. Multiply that number by 2 1 X 2= 2 Add 5 2 + 5= 7 Multiply by 50 7 X 50= 350 Add her age (say, 20) 370 Subtract 365 370 – 365= 5 Add 115 and tell you the final answer: 5 + 115= 120 Once you have that final answer, you can reveal her birthday month: January & her age: 20 Secret: The first digit is the birthday month, the remaining digits reveal age. Mathemagic! --4 Mysterious Dice Magical effect: Defy the laws of probability! Of the six possible numbers on a game die, you guess the two your audience is thinking of. How to perform: Example Have a member of the audience choose any two sides on a die, but keep them secret: 3 & 2 Now, ask him to do the following calculations and keep them secret until he has his final answer: Multiply one of the numbers by 5: 3 X 5 = 15 Add 7 to that product: 15 + 7 = 22 Double that sum: 22 X 2 = 44 Add the other number chosen from die: 44 + 2 = 46 Ask him to tell you his final answer: 46 Now reveal his original secret numbers: 3 & 2 Secret: Subtract 14 from his final result: 46-14 = 32 Or: 3 & 2 Mathemagic –5 Division Prediction Magical effect: Before you even see the problem, you predict the answer to a 3-digit division problem. How to perform: Example Announce that you can predict the answer to a 3-digit division problem using any digit the audience chooses. Write your prediction on a piece of paper, seal it in an envelope and ask a member of the audience to hold it. Ask the audience to give you any 3-digit number with all the digits the same. Invite them to join you as you: 555 Add the three digits: 5 + 5 + 5=15 Divide the original number by their sum: 555 / 15 = 37 Ask the envelope-holder to open the seal and show what you predicted. Lo and behold it is: 37 !!! Secret: Take any 3-digit number with all three digits the same, and divide it by the sum of the three digits as we did here, and the answer will always be 37. Mathemagic! --6 Easy Mind-Reading Magical effect: You guess any number your audience is thinking. How to perform: Example: Ask a member of the audience to think of any number but keep it secret: 10 Now ask them to do the following: Double the secret number: 20 Multiply by 5 20 X 5=100 Ask them to give you their final answer and reveal their secret number: 10 Secret: Once you know their final answer, simply (secretly, mentally) slice off and discard the right hand digit. Mathemagic! --7 You Can't Fool Me! Magical Effect: The audience selects any number with any number of digits, then chooses one of those digits to keep secret from you; but they can't fool you, you guess that secret digit every time! How to perform: Example Ask the audience to give you any number with any number of digits: 32,645 Invite them to join you (with their own pencil and paper) as you: Add the digits together: 3 + 2 + 6 + 4 + 5= 20 Subtract that sum from the original number: 32,645 – 20= 32,625 Now, ask one person to choose on of those digits and secretly cross it out: 6 Ask him to add the remaining digits and tell you that sum: 3 + 2 + 2 + 5= 12 Now you reveal his secret crossed-out number: 6 Secret: Subtract his final sum from the next higher multiple of 9 18-12= 6 If the sum itself is a multiple of 9, the secret crossed-out number will be 9. Mathemagic! --8 More Fun with Nines Magical effect: You predict in advance the answer your audience will reach when they add and subtract the numbers they choose themselves. Example: How to perform: Write your prediction, seal it in an envelope and ask someone to hold it. Ask the audience to give you any number with any number of digits (a phone number works well): Invite them to join you as you: 9 070 057 Scramble the digits any way: -5 079 700 Subtract the smaller number from the larger: 3 990 357 Add up the digits in that sum: 3+9+9+0+3+5+7 = 36 Now add up those digits until you are left with one digit: 3+6= 9 Ask the envelope-keeper to unseal and reveal your prediction. Amazingly, it is the same-------------------------------------------------------------------->9 !!! Secret: When you perform these operations, the answer will always be 9. Hint: Other dramatic ways to hide and reveal your prediction: 1. Seal it inside a blown-up balloon. When it's time to reveal it, ask someone to prick the balloon uploads/Management/ mathemagic-teacher-guide.pdf