Math in Technology, Magic, Balloons & Kites

(Mathemagic!)

by Kelvin Chun

UH Outreach College Class

Art of Magic & Balloons - 2004

Preparing for a Contest - 2004


Planet Turtle

HCTM 2011 Conference - Math in Magic, Balloons & Kites


Magic, Balloons & Kites

This session will focus on utilizing a variety of teaching and learning strategies in integrating across the curriculum utilizing magic and balloons and other activities as the vehicles to support the classroom teachers' program


Objective:

This session will enable teachers to:

1. explore a variety of applications which can be used to help deliver

and/or support instruction,

2. design activities which uses magic and balloons and other

instructional medium to deliver and/or support instruction.


Standards

A variety of standards can be applied. Visit the various state standards. Here are some state standard starting points.


Pick a number between 5 & 15:

6 7 8 9 10 11 12 13 14

Pick a number from 1 through 12:



Types of Magic

Close - Up

Mental

Parlor

Stage

Illusion


Tools

Engineers' tools: Math, science, and computers.

Actors' tools: Dress, play script, and stage props.

Chefs' tools: Food, spices, oven, and kitchen utensils

Singers' tools: Song and music.


Magicians' tools:

Cards, Money, Rope, Silk & Handkerchief, Sponge balls, Numbers & Math, etc.

 

Props (big & small)

 

Sleight of Hand


Magic Rules:

Never explain how a trick is done

Never explain what you are going to do ahead of time

Never repeat a trick for the same spectators

Practice each trick before you present it

 

Real Magic


Mathemagic Examples

 

Interactive Magic (ex. flags)

Online Magic

Mind Reader ... an animal?

Mathemagic Research

Google

Pick a card

Lessons: 1, 2, 3


Optical Illusions

Geometric Vanishes

Extra Square

Get off the Earth

Rubber Geometry

Patterns / Symmetry / Tessellations

Exploratorium

Stare at the spinning wheel

 


Performance: Secret Number

1.Write a 3-digit number with all different digits

2.Reverse the digits and subtract the smaller from the larger

3.Reverse the result and add them up

4.Answer should be secret number


Tear 3 pieces of paper and draw a circle on the first piece, a square on the 2nd piece,

and a triangle on the 3rd piece.

Number each piece 1, 2 and 3 respectively by placing the

"1" in the circle

"2" in the square

"3" in the triangle

1) Circle, 2) Square, 3) Triangle

Opposite side write :

"4" on the back of the circle

"5" on back of the square

"6" on back of the triangle

Arrange the paper with 4, 5, 6 side up ...

mix them up to form any 3-digit number: 456, 654, 564,645, etc.

Take center paper and

turn it over ...

add up the 3 numbers ....

you have come up with a

number between 1 & 15


Think of a 2 digit number between 1 & 50

Both digits are odd

Both digits are different

Sum of digits greater than 9


Performance: Four-Ace Trick

1.Before trick, put 4 aces in positions 9, 10, 11, and 12 in deck.

2.Have subject pick a number between 10 and 20.

3.Deal that many off the deck.

4.Add digits of that number and put that many back on top of deck.

5.Take top card and set aside.

6.Repeat until you have four cards out of the deck.

7.These four cards will be the aces.


Performance: Success

1. Before trick, prepare 4 cards faced up as follows:

Card 1(bottom and facing up): Teacher; Card 2: Success; Card 3: Collaboration; Card 4 (top and facing up): Learning.

2. Have subject flip the top "Learning" card.

3. Cut the deck.

4. Flip the top 2 cards.

5. Cut the deck.

6. Turn over all cards.

7. Flip the top 2 cards.

8. Cut the deck.

(May repeat steps 7 & 8)

9. Flip the top card.

10. Flip the top 2 cards as one.

11. Flip the top 3 cards as one.

12. You will note that 3 cards are faced one way and only one card is faced the other. Check the other participants, and it should be a "success!"


Performance: A Magician Kelvin Chun:

1.Have someone cut the deck approximately in half.

2.Pick up either half and count the number of cards.

3.Add the digits, and counting from the bottom, go to that card number.

Have subject remember the card.

4.Replace that 1/2 deck on top of the other half deck.

5.Spell out A M A G I C I A N K E L V I N C H U N

(or any other 19 letter phrase or word)


Paper Magic:

Take paper and fill in the following letters:

Fold in 1/2

Fold in 1/2 again => 2 more times

You should have 8 separate rectangles

Trim off the edges of folded paper

Sort paper with face up and face down letters

Choose either one

Study letters and try to form a word with all the letters

If you can't make up a word, then choose other stack.

Secret Word?


Performance: Professor's NightMare

Performer shows three separate pieces of rope each of a different size.

There is a very short piece, a medium size piece, and a long piece. The

performer folds the three pieces and when the ropes are opened out again,

all three pieces are seen to be of the same size. A perfect illusion. If

required, the ropes can again be restored to their original different

sizes and tossed out for examination.


Math & Balloons

Statistics & Probability

Estimate the total number of balloons in bag

Estimate the probability of a color

Probability = Actual Number / Total Number

Yellow

Orange

Pink

L Blue

White

Black

Red

Green

D Blue

Purple

Total

P1

11

10

8

12

11

9

8

14

6

11

100

P2

8

10

12

12

9

9

12

11

6

11

100

Average?


Line Segment:

Definition?

Estimate/Measure:

Draw

Cut String

Unblown balloon

Blown balloon


Steps:

Inflate

 

Twist Types:

 

Connect

 

Pinch

 

Hook

 

Fold

 

Poodle tail

 

Ear

 

Create Bubble


Geometry/Art

Angles: Acute, Right, Obtuse

Shapes

Air Pressure: How many bubbles can be twisted ... maximum? Estimate!

Create Shapes!

Geometric Shapes:

Triangle

Square

Circle

Create objects with symmetry.

Animal figures

Concepts:

Estimation, probability, measurement, line segment, angles, surface tension, air pressure, symmetry, patterns, and shapes

Skills:

Problem Solving

Collaboration


School to Work Skills:

Basic: Communication- Read, Write, Math, Listening, and Speaking

Thinking: Creative, Decision Making, Problem Solving, etc.

Personal Qualities


Supplies

Resources:

Balloon Sites

kchun

Books & Articles


Math & Kites

Powerpoint Presentation

Youtube

Kite Workshop for

Japanese American National Museum

Powerpoint Presentation / Asian Kites

Powerpoint Presentation Sled Kites

Nasa Sled Kite

Paper Kites 1

Paper Kites 2

Youtube Presentation

Youtube - High Voltage

Youtube - High Voltage2

Youtube - Gongob

Kites.org

Simple to Make Kite

Lincoln Chang Rokkaku Modification

Kites in Flight

Tessellation Shapes

Award Winners

Kite Workshops

Simple to Make Kite

Kites in Flight

Kite History

History of Kites

Paper Planes & Tetrahedron Kites

Interactive - Fly a Kite

Education = Kites + Kids

Virtual Kite Zoo

Kite Builders

Types of Japanese Kites

Kites from Japan

Chen Zhao Ji - Mechanical Kites

Gombergkites

Wau Bulan

Fighter Kites

Various Kites

Kite Life Magazine

AKA

Kite Samples

Kite Unit / Ben Franklin Movie


Apply measurement skills in the construction of the kite

Identify geometric shapes in the kite

Apply the concept of symmetry to kites

Apply the concepts of balance and aerodynamics to kites


Concepts : General Math ( elementary and intermediate)

A. Measurement skills

B. Ratio and proportion

C. Approximation (height of kite in flight)

D. Angles

E. Simple geometric shapes


Secondary Education: Math

A. Area

B. Geometric shapes (hexagon, rectangle, and triangle)

C. Symmetry

D. Construction concepts

E. Angles (ex. Find the angles, given two parallel lines)

F. Calculation of heights using trigonometric functions

G. Calculation of heights using right triangle. ( Given: hypotenuse: string length; and leg of right triangle: ground length)


Aerodynamic Concepts

1. Resistance

2. Upward thrust or lift

3. Downward pull or gravity

4. Propulsion


Discussion (Individual critical thinking skills)

Discuss problems you encounter while doing this project.

How would you redo this project to increase height and distance of your kite's flight?

If your kite spin like a propellor, how would you adjust your design?

How would you incorporate proportions?

Reflection


History

Origination ... China

First kite:

Chinese peasants - tied strings to hats

Chinese hunters - adoption of shooting arrows with attached string or rope.

Kites Around the World

Kites spread to India, Malaysia, and Polynesia, and Japan after the Northern Sung period (960 - 1126 A.D.)

Europe:

Oldest kite dates back to 230 B.C.

Fourteenth century - German military flew kites on horses.

America:

Benjamin Franklin - June, 1756


Sled Kite Materials:

Plastic (white) kitchen trash bag

Spool of thread

Permanent colored marsh pens

Scissors

Scotch tape

Hole puncher

12" ruler

Two - 12" bamboo sticks ( bbq - sticks are fine)