A GUIDE TO THE MATHEMATICS EXPLORED IN THE EXHIBIT TABLE OF CONTENTS INTRODUCTION . Page 1 Activities Overview . Page 2 About the Exhibit . Page 3 Highlights by Section . Page 4 Exhibit Themes . Page 5 ADVENTURE SPORTS Activity 1: Fly as High as Kobe . Page 7 Activity 2: Design Challenge . Page 8 ENVIRONMENT Activity 3: H2Ohhhh! . Page 9 Activity 4: What a Million Looks Like . Page 10 STYLE/DESIGN Activity 5: Tessellate or Not? . Page 11 Activity 6: Fibonacci Flowers . Page 12 ENTERTAINMENT Activity 7: Got Rhythm? . Page 13 Activity 8: 24 Frames per Second . Page 14 GAMING Activity 9: Secret Code . Page 15 Activity 10: Spin the Wheel . Page 16 ROBOTS/SPACE Activity 11: Pick Your Pixel . Page 17 Activity 12: Design a Robot Arm . Page 18 ACKNOWLEDGEMENTS . Page 20 The exhibition is made possible by Raytheon. OVERVIEW OF MATH CONTENT IN THE MATHALIVE! ACTIVITIES CHOOSING ACTIVITIES BY GRADE LEVEL The activities prepared for this guide are designed around the NCTM Math Content Standards for grades 3-5 and 6-8 . They offer teachers flexibility, using an inquiry approach with open-ended questions -- some basic, some high level . They are designed to enhance classroom math curriculum . We recognize that in a 6th grade class, there may be some students at a 4th grade level and some at an 8th grade level; therefore, we have not assigned a specific grade to each activity, but invite teachers to choose and adapt what works best with their students . ACTIVITY/EXHIBIT AREA MATH CONCEPTS NCTM MATH STANDARD COMPONENT INTRODUCTION: ADVENTURE SPORTS 1 . Fly as High as Kobe ratios, proportions Algebra Welcome to MathAlive! The activities in this Teacher’s Activity Guide can be used before 2 . Design Challenge 2- and 3-dimensions Geometry or after your visit to the exhibit . They are designed for teachers, community group leaders and museum educators who work with upper elementary and middle school-aged students . ENVIRONMENT The Guide is organized into six sections that match the theme areas of the exhibit: Adventure 3 . H2Ohhhh! volume, percentages Measurement Sports, Environment, Style/Design, Entertainment, Gaming, and Robots/Space . 4 . What a Million Looks Like powers of 10, base-10 Number & Operations The activities take an inquiry approach to learning and have the flexibility to be adapted to number system younger and older students . They are written with a casual style, addressing students directly, STYLE/DESIGN requiring only supplies that are easy and inexpensive to obtain . The chart on the following 5 . Tessellate or Not? angles, vertices Geometry page shows the links between the activities, the math content and the related component from “Principles and Standards for School Mathematics .” We have also included a brief 6 . Fibonacci Flowers number theory, number Number & Operations overview of the exhibit itself to prepare for your visit and support your follow-up activities . patterns We hope you and your students enjoy the MathAlive! activities . Please visit our website ENTERTAINMENT www .mathalive-me .com for further information about the exhibit . 7 . Got Rhythm? equations, fractions Algebra and Number & Operations 8 . 24 Frames per Second perceived motion is Data Analysis & MathAlive! is made possible by Raytheon. a function of speed Probability GAMING 9 . Secret Code math rules and functions Algebra and Number & Operations 10 . Spin the Wheel fractions, probability Data Analysis & Probability ROBOTS/SPACE 11 . Pick Your Pixel scale, scale models Measurement 12 . Design a Robot Arm engineering and math Data Analysis & Probability Visit http://www .nctm .org/standards/content .aspx?id=16909 for more details about each of these “Principles and Standards for School Mathematics” content areas for grades 3-5 or 6-8 . 1 2 MathAlive!... About the Exhibit HIGHLIGHTS OF THE EXHIBIT BY SECTION Designed to be one of the most interactive The exhibition also includes content of specific interest to OUTDOOR ACTION… ADVENTURE SPORTS and inspiring exhibitions exploring the world Middle Eastern audiences . Visitors learn about historical • Boardercross… Snowboard Experience of mathematics ever to tour. achievements by noted figures from the region; explore • Ramp It Up… Build a Skateboard with POP • Pedal to the Peak... Mountain Bike Challenge math at work today in innovative applications in the • Featured Personality: Eric “Tuma” Britton, professional skater/instructor MathAlive! is designed to inspire, to spark the imagination, region–as well as hearing from those shaping the future; • Featured Personality: Liza Brooks, co-owner and technical director, True Snowboards to reveal not only math at work, but the endless possibilities and experience interactives with math within the cultural • Featured Personality: Hind Hobeika, swimmer and inventor backdrop of Arab-centric imagery, landmarks, customs, of math . Primarily designed for kids in grades 3-8, the BUILD YOUR WORLD… ENVIRONMENT exhibition brings to life the real math behind what kids love culture and language . The exhibition is presented in dual • Supertall...Skyscraper Design Studio… The Engineered City most – video games, sports, design, music, robotics, and language, with text and graphics displayed in Arabic and o Power Play… Energy more – and creates interactive and immersive experiences English . o Test the Waters… Water o Easy on the Gas… Transportation that bring to life the math at work in each, whether in o Going Viral… Communications design, application or use . • Featured Personality: Rondi Davies, geologist and champion marathon swimmer This innovative exhibit responds to the movement • Featured Personality: Tanya Martinez, electrical engineer In this 5,000 square foot exhibition, visitors will ride toward greater focus on STEM development and STEM • Featured Personality: Azza Faiad, biofuel researcher • Featured Personality: Mahmoud Shattel, alternative energy pioneer snowboards in a 3-D experience, design (and play) their career awareness, and inspiring kids to make math a priority, • Featured Personality: Zaha Hadid, architect own video games, capture their 360-degree images in a reaching them in that window of vulnerability when math unique interactive, even design a custom skateboard for gets more challenging and kids begin to lose interest . FUTURE STYLE… STYLE AND DESIGN “pop” - the quick, snapping motion that allows a board • Style Revolution… 360-degree Photo Shoot • Make It Fit… Tessellations to do the best tricks . Through nearly 40 unique, interactive • Nature’s Numbers… Nature’s Patterns experiences, the exhibit takes math from its native form into • Shadow Play… Shadows the applied worlds of design, engineering, technology and • Featured Personality: Theo Jansen, artist and designer science . • Featured Personality: Nzinga Knight, fashion designer • Featured Personality: Ayah Bdeir, interactive artist and engineer They’ll explore and operate simulations of NASA’s latest KICKIN’ IT… ENTERTAINMENT robotics, including the Robonaut 2 and the Curiosity Mars • Mix It Up… Giant Musical Instrument Rover . They’ll design a Supertall skyscraper and learn how • Flicker Fusion… Make a Movie • Step Up... Color Motion engineers work to make a city hum while taking on different • Featured Personality: Ajay Kapur, musician and computer scientist engineering roles to design a more sustainable infrastructure . • Featured Personality: Dr. Naif Al-Mutawa, comic book and television series creator GAME PLAN… VIDEO GAMES AND OTHER GAMES • Game Developer • Crack the (Binary) Code The exhibition is designed to help math teachers • Flip It… Probability answer the age-old question: “Will I ever use all • Game Box Kids ROBOTICS AND SPACE • On Target… NASA Robot this math they’re teaching us?” • Curiosity Mars Rover • Robot Rally… Robot Artifact Display • Picture This… Hubble Telescope • Featured Personality: Dennis Hong, robotics engineer Visitors are accompanied by fun and quirky virtual guides, • Featured Personality: Robin Murphy, robotics engineer and along the way they’ll meet and hear professionals, • Featured Personality: Kathryn Gray, student and supernova searcher visionaries and inspiring personalities talk about math in • Featured Personality: Robonaut 2 • Featured Personality: Farouk El-Baz, astronomer, Robotics/Space Apollo Space Program their work across fields kids are most interested in exploring . 3 4 EXHIBIT THEMES, CONCEPTS AND ACTIVITIES Following, for select interactives, are main ideas and Power Play… Energy: Examining real-time graphs of Main Idea: Fractions play a vital role in understanding music . supplemental ideas to help students and groups get electrical use provides engineers with immediate mathematical ROBOTICS AND SPACE the most out of the visit. information that is used to maintain the functioning of the grid Ideas for the Visit: Challenge students to find as many combinations in emergencies . of notes as they can to make a 4-beat measure (e .g ., 4 sixteenth On Target - NASA Robotics (NASA programs its robots to For a detailed explanation of the exhibit, by notes plus 2 quarter notes plus 2 eighth notes) . accomplish many tasks, all relying on mathematical graphing and interactive, please refer to “EDUCATORS’ REFERENCE Ideas for the Visit: Ask students to “tell the story” of the graph that coordinates - experiment by manipulating robotics at work in a GUIDE FOR THE MATHALIVE! EXHIBITION,” they see unfolding . Step Up - Color Motion (Watch yourself move in video that simulated space environment) which outlines: shows how mathematical functions