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Steps/Ages (Level of Thinking)
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Goals
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A. Perceive, Say, Describe/Discuss, and Construct Objects in 2-D Space
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B. Perceive, Say, Describe/Discuss, and Construct Spatial Relations in 2-D Space
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C. Perceive, Say, Describe/Discuss, and Construct Compositions and Decompositions in 2-D Space
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Thinking about parts
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Describe and name shapes by number of sides (up to the number they can count).
Describe and name shapes by number of corners (vertices).
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Move shapes using slides, flips, and turns.
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Use relational language involving frames of reference, such as “to this side of,” “above.”
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Compare areas by superimposition. For rectangular spaces
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Tile a rectangular space with physical tiles (squares, right triangles, and rectangles with unit lengths) and guidance.
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Move shapes using slides, flips, and turns to combine shapes to build pictures. For rectangular spaces
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Relating parts and wholes
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Sides of same/different length.
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Predict effects of rigid geometric motions.
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Combine shapes with intentionality, recognizing them as new shapes.
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In an “equilateral triangle world,” create pattern block blue rhombus, trapezoid, and hexagons from triangles.
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Step 3 (Age 5)
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Thinking visually/holistically
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Recognition and informal description, varying orientation, sizes, shapes (includes all above, as well as octagons, parallelograms, convex/concave figures).
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