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Exploring Math and Nature: Miles of Tiles - an Educational Exhibit

Dive into the intriguing relationship between math, geometry, and nature at the Miles of Tiles exhibit. Discover why bees use hexagons and the special properties of shapes like circles and hexagons. Engage in lesson ideas for Grades 3-6 focusing on fractions, area, multiplication, volume, and real-world problem-solving. Uncover the beauty of math in nature through practical examples and activities.

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Exploring Math and Nature: Miles of Tiles - an Educational Exhibit

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  1. Miles of Tiles The Exhibit

  2. Miles of Tiles The Exhibit

  3. Miles of Tiles The Exhibit

  4. Miles of Tiles The Exhibit

  5. Miles of Tiles The Exhibit

  6. Math Geometry + Nature

  7. Math Geometry + Nature Why do bees use hexagons? Is there something special about them?

  8. Math Geometry + Nature Let’s compare what we calculated P= 12 A = 10.38 P= 12 A = 9 P= 12 A = 11.47

  9. Math Geometry + Nature A circle yields the greatest interior space for the smallest perimeter of anyshape! P= 12 A = 11.47

  10. Math Geometry + Nature Hexagons yields the greatest interior space for the smallest perimeter of any shape that tessellates! P= 12 A = 10.38

  11. Lesson Ideas Grade 3

  12. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers Fraction  Fracture

  13. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers Fracture - break into pieces

  14. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers Fractions - break into pieces using numbers

  15. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers 4 = 1 1 1 1

  16. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers 4 = 1 1 1 1¼ means you have one of the four 1s

  17. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers You have one of the four squares

  18. Lesson Ideas Grade 3 Develop Understanding of fractions as numbers Tiles provide a concrete example of the abstract concept of fractions

  19. Lesson Ideas Grade 3 Understand the concepts of area and relate it to multiplication and addition

  20. Lesson Ideas Grade 3 Area relationship to multiplication & addition

  21. Lesson Ideas Grade 3 Area relationship to multiplication & addition

  22. Lesson Ideas Grade 3 Area relationship to multiplication & addition 1 1 1 1

  23. Lesson Ideas Grade 3 Area relationship to multiplication & addition 2 2

  24. Lesson Ideas Grade 3 Area relationship to multiplication & addition 2 2 2 x 2 = 4

  25. Lesson Ideas Grade 3 Area relationship to multiplication & addition Area of this square is 4 2 x 2 = 4

  26. Lesson Ideas Grade 4

  27. Lesson Ideas Grade 4 Understanding fraction equivalence

  28. Lesson Ideas Grade 4 Understanding fraction equivalence

  29. Lesson Ideas Grade 4 Understanding fraction equivalence

  30. Lesson Ideas Grade 4 Understanding fraction equivalence 4/16 = 1/4

  31. Lesson Ideas Grade 4 Understanding decimal notation for fractions

  32. Lesson Ideas Grade 4 Understanding decimal notation for fractions ¼ spoken as “one quarter”

  33. Lesson Ideas Grade 4 Understanding decimal notation for fractions With money ¼ of a dollar is one quarter

  34. Lesson Ideas Grade 4 Understanding decimal notation for fractions One quarter is twenty-five cents 25¢

  35. Lesson Ideas Grade 4 Understanding decimal notation for fractions Twenty-five cents is written as 25¢ .25

  36. Lesson Ideas Grade 4 Understanding decimal notation for fractions .25 .25 .25 .25 $1

  37. Lesson Ideas Grade 5 Understanding concepts of volume

  38. Lesson Ideas Grade 5 Understanding concepts of volume Start with simple shapes

  39. Lesson Ideas Grade 5 Understanding concepts of volume Stack the physical shapes on the board

  40. Lesson Ideas Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height

  41. Lesson Ideas Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height

  42. Lesson Ideas Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height

  43. Lesson Ideas Grade 5 Understanding concepts of volume Explain that the volume for all simple shapes is area x height

  44. Lesson Ideas Grade 5 Understanding concepts of volume Compare volumes to illustrate the bee’s use of hexagons

  45. Lesson Ideas Grade 6 Solve real-world problems involving area

  46. Lesson Ideas Grade 6 Solve real-world problems involving area You are installing new tiling on your bathroom floor

  47. Lesson Ideas Grade 6 Solve real-world problems involving area

  48. Lesson Ideas Grade 6 Solve real-world problems involving area

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