| Area |
Goal |
Standard |
Benchmark |
Benchmark Number |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities. |
8.D.3a |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Propose and solve problems using proportions, formulas and linear functions. |
8.D.3b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Apply properties of powers, perfect squares and square roots. |
8.D.3c |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequalities using graphs, tables, calculators and computers. |
8.D.4 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Formulate and solve nonlinear equations and systems including problems involving inverse variation and exponential and logarithmic growth and decay. |
8.D.5 |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Identify related two- and three-dimensional shapes including circle-sphere, square-cube, triangle-pyramid, rectangle-rectangular prism and their basic properties. |
9.A.1a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Draw two-dimensional shapes. |
9.A.1b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Build physical models of two- and three-dimensional shapes. |
9.A.2a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising). |
9.A.2b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology. |
9.A.2c |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones. |
9.A.3a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Draw transformation images of figures, with and without the use of technology. |
9.A.3b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Use concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and analyze two- and three-dimensional shapes found in practical applications (e.g., geodesic domes, A-frame houses, basketball courts, inclined planes, art forms |
9.A.3c |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Construct a model of a three-dimensional figure from a two-dimensional pattern. |
9.A.4a |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Make perspective drawings, tessellations and scale drawings, with and without the use of technology. |
9.A.4b |
| MATHEMATICS |
Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. |
Demonstrate and apply geometric concepts involving points, lines, planes and space. |
Use geometric figures and their properties to solve problems in the arts, the physical and life sciences and the building trades, with and without the use of technology. |
9.A.5 |
| 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 and describe characteristics, similarities and differences of geometric shapes. |
9.B.1a |
| 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. |
Sort, classify and compare familiar shapes. |
9.B.1b |
| 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 lines of symmetry in simple figures and construct symmetrical figures using various concrete materials. |
9.B.1c |
| 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. |
Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry. |
9.B.2 |
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