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Grade 3 |
Grade 4 |
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Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
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Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
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Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
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A. Plane Geometric Figures
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A. Plane Geometric Figures
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A. Plane Geometric Figures
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1. Recognize and apply the properties/attributes of plane geometric figures
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1. Analyze the properties of plane geometric figures
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1. Analyze the properties of plane geometric figures
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a. Identify and describe sides and corners
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a. Identify or describe points, lines, line segments, rays, and angles
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a. Identify properties of angles using manipulatives and pictures
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b. Identify and describe quadrilaterals such as: squares, rectangles, rhombi
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b. Identify or describe polygons
Assessment limit:
- Use triangles, quadrilaterals, pentagons, hexagons, or octagons and the number of sides or vertices
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b. Identify, compare, classify, and describe angles in relationship to another angle
Assessment limit:
- Use acute, right, or obtuse angles
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c. Identify and describe polygons by the number of sides such as: triangles, squares, rectangles, hexagons, octagons
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c. Identify or describe quadrilaterals
Assessment limit:
- Use squares, rectangles, rhombi, parallelograms, and trapezoids and the length of sides
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c. Identify parallel and intersecting line segments
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d. Combine and subdivide squares, triangles, and rectangles to identify a new shape
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d. Identify triangles, rectangles, or squares as part of a composite figure
Assessment limit:
- Use a combination of 2 of the stated polygons
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2. Analyze geometric relationships
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a. Identify right angles
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B. Solid Geometric Figures
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B. Solid Geometric Figures
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B. Solid Geometric Figures
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1. Analyze the properties of solid geometric figures
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1. Analyze the properties of solid geometric figures
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1. Analyze the properties of solid geometric figures
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a. Compare two- and three-dimensional shapes such as: square to a cube, square and rectangle to a rectangular prism.
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a. Identify and describe cubes, rectangular prisms, and triangular prisms
Assessment limit:
- Use cubes and the number of edges, faces, vertices, or shape of each face
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a. Identify cones, cylinders, prisms, and pyramids
Assessment limit:
- Use cones or cylinders
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b. Describe solid geometric figures by the number of edges, faces, or vertices
Assessment limit:
- Use triangular pyramids, rectangular pyramids, triangular prisms, or rectangular prisms
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2. Analyze the relationship between plane geometric figures and surfaces of solid geometric figures
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a. Compare a plane figure to surfaces of solid geometric figure
Assessment limit:
- Analyze or identify the number or arrangement of squares needed to make a cube and triangles/rectangles needed to make a triangular pyramid or rectangular pyramid.
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C. Representation of Geometric Figures
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C. Representation of Geometric Figures
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C. Representation of Geometric Figures
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1. Represent plane geometric figures
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1. Represent plane geometric figures
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1. Represent plane geometric figures
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a. Sketch plane figures
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a. Sketch triangles, quadrilaterals, pentagons, hexagons, octagons, and circles
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a. Sketch acute, right, obtuse angles, and parallel and intersecting line segments
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D. Congruence
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D. Congruence
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D. Congruence
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1. Compare congruent figures
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1. Analyze congruent figures
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1. Analyze geometric figures
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a. Describe congruent figures as having the same size and shape
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a. Identify and describe geometric figures as congruent
Assessment limit:
- Use the same shape and same size
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a. Identify and describe geometric figures as congruent
Assessment limit:
- Identify the result in a transformation as being congruent to the original figure
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E. Transformations
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E. Transformations
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E. Transformations
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1. Recognize a transformation
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1. Analyze a transformation
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1. Analyze a transformation
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a. Apply visualization and spatial reasoning in activities such as: tangrams
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a. Identify and describe the results of a slide, flip, and turn
Assessment limit:
- Use horizontal slide, flip over a vertical line, or turn of 90° clockwise around a given point of a geometric figure or picture
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a. Identify and describe the results of translations, reflections, and rotations
Assessment limit:
- Use a horizontal line translation, reflection over a vertical line, or rotation of 90° clockwise around a given point of a geometric figure or picture
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b. Identify and demonstrate slides, flips, and turns
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2. Analyze geometric figures and pictures
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2. Analyze geometric figures or pictures
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a. Recognize that basic shapes have several lines of symmetry
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a. Identify and describe symmetry
Assessment limit:
- Use no more than 4 lines of symmetry
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b. Demonstrate symmetry in basic shapes and pictures by drawing 2 lines of symmetry
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