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Understanding Transformations: Applications in Math and Real Life

This resource explores the concept of transformations in mathematics, from basic translations to reflections and rotations. It highlights applications in various fields such as sports, nature, and art. Discover how to effectively use tools like graphing calculators and GeoGebra to visualize transformations. Activities include classroom translations, games, and surprise picture transformations to engage students in hands-on learning. Ideal for pre-K to high school educators looking to enhance their teaching of geometry and algebra through interactive and practical methods.

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Understanding Transformations: Applications in Math and Real Life

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  1. TRANSFORMATIONS MOVE IT

  2. HOW WAS THIS MADE? • http://nrich.maths.org/6987

  3. TRANSFORMATIONS • PRE K-K SIZE OF OBJECTS, LOCATION OF OBEJECTS • MIDDLE SCHOOL REFLECT SHAPES ACROSS A LINE • HIGH SCHOOL GEOMETRY, ALGEBRA, CALCULUS

  4. SCOPE AND SEQUENCE • AT A GLANCE • SCHOOL NET RESOURCES (HOLT)

  5. TOOLS • GEOGEBRA • GRAPHING CALCULATORS • GEOBOARDS • GRAPH PAPER • TANGRAMS • ON LINE PROGRAMS

  6. Concept Map Teacher Page

  7. http://www.shodor.org/interactivate/activities/

  8. READ ARTICLE

  9. Misconceptions Misinterpretation of coordinates: Relating x-axis as horizontal & y-axis as vertical + & - directions for x & y (up/down or left/right) Rules of isometric operators (+ & - values) and (x, y) verses (y, x) The origin is always the center of rotation (not true) Teacher Page

  10. Real World Context Sports: golf, table tennis, billiards, & chess Nature: leaves, insects, gems, & snowflakes Art: paintings, quilts, wall paper, & tiling Teacher Page

  11. DISCOVERY SCHOOL VIDEO • USING TRANSFORMATIONS IN FILMS http://www.youtube.com/watch?v=dVtz55mIuz4

  12. THINGS WE ARE GOING TO DO TODAY • GRAPHIC ORGANIZER • CLASSROOM TRANSLATIONS • TRANSFORMATION DISCOVERY WITHOUT GRAPHIC CALCULATOR • TRANSFORMATIONS WITH A GRAPHIC CALCULATOR (SURPRISE PICTURE) • TRANSFORMATION GAME • TRANSFORMATION TEASE • COMPOSITION OF TRANSFORMATIONS • EXIT SLIP

  13. LET’S GET MOVING!

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