




Archived Information
Mathematics Curriculum Framework  November 2000
Learning Standards
Geometry for Grades 1112

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:
12.G.1 
Define the sine, cosine, and tangent of an acute angle. Apply to the solution of problems.

12.G.2 
Derive and apply basic trigonometric identities (e.g., sin^{2}θ + cos^{2}θ = 1, tan^{2}θ + 1 = sec^{2}θ) and the laws of sines and cosines.

12.G.3 
Use the notion of vectors to solve problems. Describe addition of vectors and multiplication of a vector by a scalar, both symbolically and geometrically. Use vector methods to obtain geometric results.

12.G.4 
Relate geometric and algebraic representations of lines, simple curves, and conic sections.

12.G.5 
Apply properties of angles, parallel lines, arcs, radii, chords, tangents, and secants to solve problems. 
Exploratory Concepts and Skills
for Grades 1112 and SingleSubject Courses
 Investigate and compare the axiomatic structures of Euclidean and nonEuclidean geometries.
 Explore the use of conic sections in engineering, design, and other applications.
 Investigate the notion of a fractal.
 Use graphs (networks) to investigate probabilistic processes and optimization problems.
Last Updated: November 1, 2000


