




Archived Information
Mathematics Curriculum Framework  November 2000
Learning Standards by Strand
Geometry for Grades 78

Analyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationships 

Specify locations and describe spatial relationships using coordinate geometry and other representational systems 

Apply transformations and use symmetry to analyze mathematical situations 

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 straightedge, 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 threedimensional figures (e.g., prisms, pyramids) by their physical appearance, distinguishing attributes, and spatial relationships such as parallel faces. 
8.G.8 
Recognize and draw twodimensional representations of threedimensional objects, e.g., nets, projections, and perspective drawings.

Exploratory Concepts and Skills
for Grades 78 and SingleSubject 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.
Last Updated: November 1, 2000


