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**A. Number Sense, Concepts, and Operations**- 1. The student understands the different ways numbers are represented and used in the real world.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 2. The student understands number systems.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 3. The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 4. The student uses estimation in problem solving and computation.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 5. The student understands and applies theories related to numbers.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 1. The student understands the different ways numbers are represented and used in the real world.
**B. Measurements**- 1. The student measures quantities in the real world and uses the measures to solve problems.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 2. The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary).
- PreK - 2 3 - 5 6 - 8 9 - 12

- 3. The student estimates measurements in real-world problem situations.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 4. The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 1. The student measures quantities in the real world and uses the measures to solve problems.
**C. Geometry and Spatial Sense**- 1. The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 2. The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 3. The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 1. The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
**D. Algebraic Thinking**- 1. The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 2. The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 1. The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.
**E. Data Analysis and Probability**- 1. The student understands and uses the tools of data analysis for managing information.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 2. The student identifies patterns and makes prdictions from an orderly display of data using concepts of probability and statistics.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 3. The student uses statistical methods to make inferences and valid arguments about real-world situations.
- PreK - 2 3 - 5 6 - 8 9 - 12

- 1. The student understands and uses the tools of data analysis for managing information.