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Day 3 Model Integration - Origami Session 2 K-5 Mathematics

Day 3 Model Integration - Origami Session 2 K-5 Mathematics. Origami. Origami. Origami (pronounced or-i-GA-me) is the traditional Japanese folk art of paper folding. "Ori" is the Japanese word for folding and "kami" is the Japanese word for paper. Meigi Period (1868-1912)

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Day 3 Model Integration - Origami Session 2 K-5 Mathematics

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  1. Day 3 Model Integration - Origami Session 2 K-5 Mathematics

  2. Origami

  3. Origami • Origami (pronounced or-i-GA-me) is the traditional Japanese folk art of paper folding. • "Ori" is the Japanese word for folding and "kami" is the Japanese word for paper. • Meigi Period (1868-1912) • Friedrich Froebel (1782-1852) • Akira Yoshizawa (1930s)

  4. Social Studies Kids Web Japan - http://web-japan.org/kidsweb/

  5. Japan

  6. In Japan the crane is the symbol for long life, prosperity and good health. Recently the crane has become a symbol of peace.

  7. English Language Arts

  8. Visual Arts http://www.janm.org/exhibits/foldingpaper/

  9. Visual Arts http://www.langorigami.com/

  10. Science, Mathematics and Technology • Origami mathematics • includes the mathematics that describes the underlying laws of origami • Computational origami • comprises algorithms and theory devoted to the solution of origami problems by mathematical means • Origami technology • the application of origami (and folding in general) to the solution of problems arising in engineering, industrial design, and technology in general.

  11. Science • More and more scientists are integrating origami into studies. • Folding and unfolding problems have applications in robotics, hydraulic tube bending, and have connections to protein folding, sheet-metal bending, packaging, and air-bag folding. http://theory.csail.mit.edu/~edemaine/folding/

  12. Paper Manufacturing • Although paper manufacture itself was invented and refined in China between 2000 and 1500 years ago it is from Japan that the first references come that relate to using paper to create folded models. Michael LaFosse http://www.pbs.org/independentlens/between-the-folds/film.html

  13. A Closer LookIntegrating the Common Core State Standards for Mathematics Selecting and Unpacking Standard Determining Learning Goals Identifying Learning Progressions and Scale Engaging Students in Meaningful Dialogue and Activities Assessing Student Progress

  14. Making an Origami Cup Identify the Geometry Standard(s) Handout #14 Geometry Standards

  15. Mathematics 5th Classify two-dimensional figures in a hierarchy based on properties.MACC.5.G.2.4 Classify • Two-dimensional figures • Properties • Hierarchy Classify two-dimensional figures into categories based on their properties. Students will classify two-dimensional figures in a hierarchy based on properties. How are two-dimensional figures classified? Classify two‐dimensional figures in a hierarchy based on properties.

  16. Making an Origami Cup

  17. Origami House

  18. Counting Shapes • What shape is the origami paper? • When you fold the paper in half, what shapes do you see?

  19. Counting Shapes • Fold the paper again. • Open up the paper and count the number of rectangular regions you see.

  20. How many rectangular regions do you see? 1 Count each section 1 2 3 4 Next, combine sections that touch 1,2 2, 4 3,4 1,3 Last combine all the sections 1, 2, 3, 4 2 4 3

  21. How many rectangular regions do you see how? • Fold the paper another time.

  22. How many rectangular regions do you see how? • Unfold the paper and count all of the rectangular regions. Remember to make a list. Count each section 1 2 3 4 5 6 7 8 Next, combine sections that touch 1,2 1,5 5,6,7 2,3,4,6,7,8 3,7 2,6 6,7,8 2,3 3,7 5,6,7,8 3,4 4,8 1,2,5,6 5,6 1,2,3 2,3,6,7 6,7 2,3,4 3,4,7,8 7,8 1,2,3,4 1,2,3,5,6,7 Last combine all the sections 1, 2, 3, 4, 5, 6, 7, 8, 1 2 3 4 5 6 8 7

  23. Origami Fish

  24. Origami Fish: Triangles • Scalene • No side equal • Isosceles • at least two sides equal • Equilateral • all sides equal • Acute • 3 acute angles • (all less than 90°) • Obtuse • 1 obtuse angle • (greater than 90 °) • Right • One 90° angle • Equiangular • all angles equal

  25. Origami Fish: Triangles Identify Triangles 1+2 2+3 1+2+3 1+2+3+4 2+3+4 3+4 5+6 6+7 5+6+7 8+9 10+11 10+11+12 11+12 • 1. Obtuse Scalene 25, 110, 45 • 2. Right Scalene 20, 90, 70 • 3. Right Scalene 15, 75, 90 • 4. Obtuse Scalene 30, 45, 105 • 5. Obtuse Scalene 30, 105, 45 • 6. Right Scalene 15, 90, 75 • 7. Right Isosceles 45, 45, 90 • 8. Right Isosceles 45, 45, 90 • 9. Right Isosceles 45, 90, 45 • 10. Right Isosceles 45, 45, 90 • 11. Right Scalene 20, 90, 70 • 12. Obtuse Scalene 25, 110, 45

  26. Planning Integrated Lessons • Generate ideas • Identify Standards • Identify Learning Goals and Progressions Scale • Identify Resources • Develop Lesson • Develop Formative Assessment tasks • Teach • Monitor Progress

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