| Grade 7 |
Grade 8 |
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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. Properties 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 angles formed by intersecting lines, line segments, and rays
Assessment limit:
- Use vertical, adjacent, complementary, or supplementary angles (Include the angle symbol ∠m)
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a. Identify and describe geometric relationships between angles formed when parallel lines are cut by a transversal.
Assessment limit:
- Use alternate interior, alternate exterior, or corresponding angles
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b. Identify angles formed when two parallel lines are cut by a transversal
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b. Identify and describe the relationship among the parts of a right triangle
Assessment limit:
- Use the hypotenuse or the legs of right triangles
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c. Identify the parts of right triangles
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2. Analyze geometric relationships
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2. Analyze geometric relationships
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a. Determine a missing angle measurement using the sum of the interior angles of polygons.
Assessment limit:
- Use angle measures in a quadrilateral
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a. Determine the measurements of angles formed by parallel lines cut by a transversal
Assessment limit:
- Use alternate interior, alternate exterior, and corresponding angles
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b. Determine the measure of angles formed by intersecting lines, line segments, and rays.
Assessment limit:
- Use vertical, adjacent, complementary, or supplementary angles
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b. Apply right angle concepts to solve real-world problems
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c. Describe the relationship between the legs and hypotenuse of right triangles
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c. Determine whether three given side lengths form a right triangle
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B. Solid Geometric Figures
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B. Solid 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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a. Construct geometric figures using a variety of construction tools
Assessment limit:
- Construct a circle using a given line segment as the radius in whole number inches or centimeters
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a. Draw quadrilaterals
Assessment limit:
- Provide given whole number dimensions in inches or centimeters or angle measurements
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b. Construct geometric figures using a variety of construction tools.
Assessment limit:
- Construct a line segment congruent to a given line segment
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b. Construct perpendicular line segments
Assessment limit:
- Provide a given point on a given line segment
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c. Construct geometric figures using a variety of construction tools
Assessment limit:
- Construct a perpendicular bisector to a given line segment or a bisector of a given angle
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c. Construct triangles
Assessment limit:
- Construct a triangle congruent to a given triangle
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D. Congruence and Similarity
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D. Congruence and Similarity
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1. Apply the properties of congruent polygons
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1. Apply the properties of similar polygons
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a. Determine the congruent parts of polygons
Assessment limit:
- Use the length of corresponding sides or the measure of corresponding angles and whole numbers (0 – 1000)
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a. Determine similar parts of polygons
Assessment limit:
- Use the length of corresponding sides or the measure of corresponding angles and rational numbers with no more than 2 decimal places (0 – 1000)
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b. Identify and describe similar polygons and their corresponding parts
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E. Transformations
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E. Transformations
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1. Analyze a transformation on a coordinate plane
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1. Analyze a transformation on a coordinate plane
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a. Identify, describe, and plot the results of one transformation on a coordinate plane
Assessment limit:
- Identify or plot the result of one translation (horizontal or vertical), reflection (horizontal or vertical), or rotation about a given point (90° or 180°)
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a. Identify, describe, and plot the results of multiple transformations on a coordinate plane
Assessment limit:
- Identify or plot the result of two transformations on one figure using translations (horizontal or vertical), reflections (horizontal or vertical), or rotations about a given point (90° or 180°)
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b. Identify and describe transformations that result in rotational and reflectional symmetry
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