| Area |
Goal |
Standard |
Benchmark |
Benchmark Number |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Identify, describe, classify and compare relationships using points, lines, planes and solids. |
Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties. |
9.B.3 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Identify, describe, classify and compare relationships using points, lines, planes and solids. |
Recognize and apply relationships within and among geometric figures. |
9.B.4 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Identify, describe, classify and compare relationships using points, lines, planes and solids. |
Construct and use two- and three-dimensional models of objects that have practical applications (e.g., blueprints, topographical maps, scale models). |
9.B.5 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Draw logical conclusions and communicate reasoning about simple geometric figures and patterns using concrete materials, diagrams and contemporary technology. |
9.C.1 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Formulate logical arguments about geometric figures and patterns and communicate reasoning. |
9.C.2 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns. |
9.C.3a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Develop and solve problems using geometric relationships and models, with and without the use of technology. |
9.C.3b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Construct and test logical arguments for geometric situations using technology where appropriate. |
9.C.4a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Construct and communicate convincing arguments for geometric situations. |
9.C.4b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Develop and communicate mathematical proofs (e.g., two-column, paragraph, indirect) and counter examples for geometric statements. |
9.C.4c |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Perform and describe an original investigation of a geometric problem and verify the analysis and conclusions to an audience. |
9.C.5a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Construct convincing arguments and proofs to solve problems. |
Apply physical models, graphs, coordinate systems, networks and vectors to develop solutions in applied contexts (e.g., bus routing, areas of irregular shapes, describing forces and other physical quantities). |
9.C.5b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Use trigonometric ratios and circular functions to solve problems. |
Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse. |
9.D.3 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Use trigonometric ratios and circular functions to solve problems. |
Analyze and solve problems involving triangles (e.g., distances which cannot be measured directly) using trigonometric ratios. |
9.D.4 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Use trigonometric ratios and circular functions to solve problems. |
Analyze and solve problems involving periodic patterns (e.g., sound waves, tide variations) using circular functions and communicate results orally and in writing. |
9.D.5 |
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