Dallas School District

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Visualization and Spatial Reasoning

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PA Academic Standards 2.9.3 and 2.9.5 (Geometry)

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A) Name and label geometric shapes in two and three dimensions (e.g., circle/sphere, square/cube, triangle/pyramid, rectangle/prism).

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B) Build geometric shapes using concrete objects (e.g., manipulatives).

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C) Draw two- and three-dimensional geometric shapes and construct rectangles, squares and triangles on the geoboard and on graph paper satisfying specific criteria.

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D) Find and describe geometric figures in real life.

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I) Predict how shapes can be changed by combining or dividing them.

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D) Describe in words how geometric shapes are constructed.

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E) Construct two- and three-dimensional shapes and figures using manipulatives, geoboards and computer software.

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F) Find familiar solids in the environment and describe them.

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H) Describe the relationship between the perimeter and area of triangles, quadrilaterals and circles.

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I) Represent and use the concepts of line, point and plane.

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J) Define the basic properties of squares, pyramids, parallelograms, quadrilaterals,  trapezoids, polygons, rectangles, rhombi, circles, triangles, cubes, prisms, spheres and cylinders.

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L) Identify properties of geometric figures (e.g., parallel, perpendicular, similar, congruent, symmetrical).

Grades K-3

Grades 4-5