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# MPS Mathematics Learning Targets

## B. Number Operations and Relationships Grade 8

 MPS Learning Target #1 (Grade 8) Explain comparisons and operations on real numbers and use proportional reasoning (including ratios and percents) to solve problems with and without contexts. Descriptors Concepts: 1, 2, 3 Computation: 4, 6

 Grade of Emphasis Wisconsin Sub-skill Descriptors (Beginning of Grade 10) Sub-skill B.a: Concepts Grade 8 1) Compare and order real numbers. Grade 8 2) Analyze and solve problems using percents. Grades 8-10 3) Apply proportional reasoning and ratios in mathematical and real world contexts. Sub-skill B.b: Computation Grades 8-9 4) Compare, perform, and explain operations on real numbers with and without context (e.g., transitivity, rate of change, exponential functions, scientific notation, roots, powers, reciprocals, absolute value, ratios, proportions, percents). Grade 9 5) Select and use appropriate properties, computational procedures, and modes of representation with and without context (e.g., simple and compound interest, commission, percents, proportions). Grades 8-10 6) Determine reasonableness of answer.

Some Descriptors are more relevant to one grade than the other.

 MPS Learning Target #2 (Grade 8) Analyze relationships among figures and their parts, including the Pythagorean Theorem, using properties of plane and coordinate geometry, and use proportional reasoning, transformations, and spatial visualization in problem-solving situations. Descriptors Describing figures: 1, 3 Spatial relationships and transformations: 4, 5, 6 Coordinate systems: 7