Learning Standards by Strand
Geometry
for Grades 7-8
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Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships |
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Specify locations and describe spatial relationships using coordinate geometry and other representational systems |
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Apply transformations and use symmetry to analyze mathematical situations |
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Use visualization, spatial reasoning, and geometric modeling to solve problems |
Learning Standards
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
| 8.G.1 |
Analyze, apply, and explain the relationship between the number of sides and the sums of the interior and exterior angle measures of polygons. |
| 8.G.2 |
Classify figures in terms of congruence and similarity, and apply these relationships to the solution of problems. |
| 8.G.3 |
Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal. |
| 8.G.4 |
Demonstrate an understanding of the Pythagorean theorem. Apply the theorem to the solution of problems. |
| 8.G.5 |
Use a straight-edge, compass, or other tools to formulate and test conjectures, and to draw geometric figures. |
| 8.G.6 |
Predict the results of transformations on unmarked or coordinate planes and draw the transformed figure, e.g., predict how tessellations transform under translations, reflections, and rotations. |
| 8.G.7 |
Identify three-dimensional figures (e.g., prisms, pyramids) by their physical appearance, distinguishing attributes, and spatial relationships such as parallel faces. |
| 8.G.8 |
Recognize and draw two-dimensional representations of three-dimensional objects, e.g., nets, projections, and perspective drawings.
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Exploratory Concepts and Skills
for Grades 7-8 and Single-Subject Courses
- Investigate trigonometric ratios in right triangles.
- Investigate right triangle relationships, such as those in 45°-45°-90° and 30°-60°-90° triangles.
- Explore proofs of the Pythagorean theorem.
Selected Problems or Classroom Activities
[ MCAS || NCTM || Other Sources || Interactive || View/Print All]
last updated: November 1, 2000
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