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NCTM Strands

               Geometry
NCTM Strands

Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
NCTM Strands
                        Strand 3
Number and Operations
Algebra
Geometry
Measurement
Data Analysis & Probability
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
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
Geometry
                               1
           Analyze characteristics
Geometry
                               1
           Analyze characteristics
Geometry
triang recta
                                   1
               Analyze characteristics
   le  ngle
Geometry
triang recta
                                   1
               Analyze characteristics
   le  ngle
Geometry
triang recta
                                   1
               Analyze characteristics
   le  ngle
Geometry
                                                    1
                            Analyze characteristics

•Recognize, name, build, draw, compare, and sort
two- and three-dimensional shapes
      Recognize the shape: That's the __________.
Geometry
                                                    1
                            Analyze characteristics

•Recognize, name, build, draw, compare, and sort
two- and three-dimensional shapes
      Recognize the shape: That's the __________.
Geometry
                                                   1
                            Analyze characteristics

•Recognize, name, build, draw, compare, and sort
two- and three-dimensional shapes
      1-D
      2-D
      3-D
Geometry
                                                   1
                            Analyze characteristics

•Recognize, name, build, draw, compare, and sort
two- and three-dimensional shapes
      1-D
      2-D
      3-D
Geometry
                                                   1
                            Analyze characteristics

•Recognize, name, build, draw, compare, and sort
two- and three-dimensional shapes
      Give many examples of a shape
Geometry
                                               1
                           Analyze characteristics

•Recognize, name, build, draw, compare,
and sort two- and three-dimensional
shapes
      Tape shapes to door &
      rotate shapes every day
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
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?
Geometry
                                                 1
                             Analyze characteristics

•Recognize, name, build, draw, compare,
and sort two- and three-dimensional
shapes
      Build a triangle with these straws.
Geometry
                                                 1
                             Analyze characteristics

•Describe attributes and parts of two-
and three-dimensional shapes



                 corner
Geometry
                                                 1
                             Analyze characteristics

•Describe attributes and parts of two-
and three-dimensional shapes



                 edge
Geometry
                                                 1
                             Analyze characteristics

•Describe attributes and parts of two-
and three-dimensional shapes



                 face
Geometry
                                                 1
                             Analyze characteristics

•Describe attributes and parts of two-
and three-dimensional shapes



                 point
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
Geometry
                               1
           Analyze characteristics




 decomposing
Geometry
                               1
           Analyze characteristics
Geometry
                               1
           Analyze characteristics
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
Geometry
                                                    1
                                Analyze characteristics

•Investigate and predict the results of putting
together and taking apart two- and three-
dimensional shapes.
       Use the correct terms.
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
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
Geometry
                                                       2
                             Specify Locations

•Describe, name, and interpret relative positions in
space and apply ideas about relative position
The Playground Lesson
  Geometry
                                                       2
                             Specify Locations

•Describe, name, and interpret relative positions in
space and apply ideas about relative position
Geometry
                                                  2
                            Specify Locations

•describe, name, and interpret direction and distance
in navigating space and apply ideas about direction
and distance
Geometry
                                                  2
                            Specify Locations

•describe, name, and interpret direction and distance
in navigating space and apply ideas about direction
and distance
Geometry
                                                2
                            Specify Locations

•Find and name locations
with simple relationships
such as "near to" and in
coordinate systems such
as maps.
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
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
Geometry
                                               3
                            Apply transformations

•Recognize and apply slides, flips, and turns
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
Geometry
                                               3
                          Apply transformations

•Recognize and create shapes that have symmetry.
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
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
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
Geometry
                                                 4
                             Use visualization

•Create mental images of geometric shapes
using spatial memory and spatial visualization
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                            Use visualization

•Recognize and represent shapes from different
perspectives
Geometry
                                                 4
                             Use visualization

•Recognize and represent shapes from different
perspectives
                     Left?
Geometry
                                                    4
                            Use visualization

•Relate ideas in geometry to ideas in number
and measurement



                                               3”
Geometry
                                                    4
                            Use visualization

•Relate ideas in geometry to ideas in number
and measurement



                                               3”
Geometry
                                                4
                           Use visualization

•Recognize geometric shapes and structures in
the environment and specify their location.
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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NCTM Geometry

  • 1. NCTM Strands Geometry
  • 2. NCTM Strands Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 3. NCTM Strands Strand 3 Number and Operations Algebra Geometry Measurement Data Analysis & Probability
  • 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. 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. Geometry 1 Analyze characteristics
  • 7. Geometry 1 Analyze characteristics
  • 8. Geometry triang recta 1 Analyze characteristics le ngle
  • 9. Geometry triang recta 1 Analyze characteristics le ngle
  • 10. Geometry triang recta 1 Analyze characteristics le ngle
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  • 15. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Recognize the shape: That's the __________.
  • 16. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Recognize the shape: That's the __________.
  • 17. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes 1-D 2-D 3-D
  • 18. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes 1-D 2-D 3-D
  • 19. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Give many examples of a shape
  • 20. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Tape shapes to door & rotate shapes every day
  • 21. 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
  • 22. 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?
  • 23. Geometry 1 Analyze characteristics •Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes Build a triangle with these straws.
  • 24. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes corner
  • 25. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes edge
  • 26. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes face
  • 27. Geometry 1 Analyze characteristics •Describe attributes and parts of two- and three-dimensional shapes point
  • 28. 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
  • 29. Geometry 1 Analyze characteristics decomposing
  • 30. Geometry 1 Analyze characteristics
  • 31. Geometry 1 Analyze characteristics
  • 32. 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
  • 33. Geometry 1 Analyze characteristics •Investigate and predict the results of putting together and taking apart two- and three- dimensional shapes. Use the correct terms.
  • 34. 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
  • 35. 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
  • 36. Geometry 2 Specify Locations •Describe, name, and interpret relative positions in space and apply ideas about relative position
  • 37. The Playground Lesson Geometry 2 Specify Locations •Describe, name, and interpret relative positions in space and apply ideas about relative position
  • 38. Geometry 2 Specify Locations •describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance
  • 39. Geometry 2 Specify Locations •describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance
  • 40. Geometry 2 Specify Locations •Find and name locations with simple relationships such as "near to" and in coordinate systems such as maps.
  • 41. 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
  • 42. 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
  • 43. Geometry 3 Apply transformations •Recognize and apply slides, flips, and turns
  • 44. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 45. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 46. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 47. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 48. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 49. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 50. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 51. Geometry 3 Apply transformations •Recognize and create shapes that have symmetry.
  • 52. 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
  • 53. 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
  • 54. 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
  • 55. Geometry 4 Use visualization •Create mental images of geometric shapes using spatial memory and spatial visualization
  • 56. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 57. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 58. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 59. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 60. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 61. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 62. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 63. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 64. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives
  • 65. Geometry 4 Use visualization •Recognize and represent shapes from different perspectives Left?
  • 66. Geometry 4 Use visualization •Relate ideas in geometry to ideas in number and measurement 3”
  • 67. Geometry 4 Use visualization •Relate ideas in geometry to ideas in number and measurement 3”
  • 68. Geometry 4 Use visualization •Recognize geometric shapes and structures in the environment and specify their location.
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  • 84. 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