NCTM Geometry

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Week 6 of http://www.billselak.com/educ448 . Aligned to NCTM's Geometry strand.

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  • NCTM Geometry

    1. 1. NCTM Strands Geometry
    2. 2. NCTM Strands Number and Operations Algebra Geometry Measurement Data Analysis & Probability
    3. 3. NCTM Strands Strand 3 Number and Operations Algebra Geometry Measurement Data Analysis & Probability
    4. 4. Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    5. 5. Geometry 1 Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    6. 6. Geometry 1 Analyze characteristics
    7. 7. Geometry 1 Analyze characteristics
    8. 8. Geometry triang recta 1 Analyze characteristics le ngle
    9. 9. Geometry triang recta 1 Analyze characteristics le ngle
    10. 10. Geometry triang recta 1 Analyze characteristics le ngle
    11. 11. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Recognize the shape: That's the __________.
    12. 12. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Recognize the shape: That's the __________.
    13. 13. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes 1-D 2-D 3-D
    14. 14. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes 1-D 2-D 3-D
    15. 15. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Give many examples of a shape
    16. 16. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Tape shapes to door & rotate shapes every day
    17. 17. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes You want children to touch & play with shapes on walls
    18. 18. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Why is that a circle and that is a square?
    19. 19. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Build a triangle with these straws.
    20. 20. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes corner
    21. 21. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes edge
    22. 22. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes face
    23. 23. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes point
    24. 24. Geometry 1 Analyze characteristics •Investigate and predict the results of putting together and taking apart two- and three- dimensional shapes. Give them a shape and scissors; make a new shape
    25. 25. Geometry 1 Analyze characteristics decomposing
    26. 26. Geometry 1 Analyze characteristics
    27. 27. Geometry 1 Analyze characteristics
    28. 28. Geometry 1 Analyze characteristics •Investigate and predict the results of putting together and taking apart two- and three- dimensional shapes. Hold up a 3D shape. photo by Christiane Bettens
    29. 29. Geometry 1 Analyze characteristics •Investigate and predict the results of putting together and taking apart two- and three- dimensional shapes. Use the correct terms.
    30. 30. Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    31. 31. Geometry 2 Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    32. 32. Geometry 2 Specify Locations •Describe, name, and interpret relative positions in space and apply ideas about relative position
    33. 33. The Playground Lesson Geometry 2 Specify Locations •Describe, name, and interpret relative positions in space and apply ideas about relative position
    34. 34. Geometry 2 Specify Locations •describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance
    35. 35. Geometry 2 Specify Locations •describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance
    36. 36. Geometry 2 Specify Locations •Find and name locations with simple relationships such as "near to" and in coordinate systems such as maps.
    37. 37. Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    38. 38. Geometry 3 Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    39. 39. Geometry 3 Apply transformations •Recognize and apply slides, flips, and turns
    40. 40. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    41. 41. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    42. 42. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    43. 43. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    44. 44. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    45. 45. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    46. 46. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    47. 47. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
    48. 48. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry. A B C D E H I K M O T U V W X
    49. 49. Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    50. 50. Geometry 4 Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems
    51. 51. Geometry 4 Use visualization •Create mental images of geometric shapes using spatial memory and spatial visualization
    52. 52. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    53. 53. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    54. 54. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    55. 55. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    56. 56. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    57. 57. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    58. 58. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    59. 59. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    60. 60. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
    61. 61. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives Left?
    62. 62. Geometry 4 Use visualization •Relate ideas in geometry to ideas in number and measurement 3”
    63. 63. Geometry 4 Use visualization •Relate ideas in geometry to ideas in number and measurement 3”
    64. 64. Geometry 4 Use visualization •Recognize geometric shapes and structures in the environment and specify their location.
    65. 65. Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Specify locations and describe spatial relationships using coordinate geometry and other representational systems Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems

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