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# 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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