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Midterm Study Guide NCTM Standards

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slideshow intended to review the following NCTM standards: number and operations, algebra, and geometry,

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• Midterm Study Guide NCTM Standards

1. 1. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Understand meanings of operations and how they relate to one another. Compute ﬂuently and make reasonable estimates.
2. 2. Algebra Understand patterns, relations, and functions Represent and analyze mathematical situations and structures using algebraic symbols Use mathematical models to represent and understand quantitative relationships Analyze change in various contexts
3. 3. Geometry Analyze characteristics and properties of two- and three-dimensional 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
4. 4. Understand patterns, relations, and functions
5. 5. Algebra Understand patterns, relations, and functions
6. 6. Use visualization, spatial reasoning, and geometric modeling to solve problems
7. 7. Geometry Use visualization, spatial reasoning, and geometric modeling to solve problems
8. 8. Apply transformations and use symmetry to analyze mathematical situations
9. 9. Geometry Apply transformations and use symmetry to analyze mathematical situations
10. 10. Compute ﬂuently and make reasonable estimates
11. 11. Number and Operations Compute ﬂuently and make reasonable estimates
12. 12. Represent and analyze mathematical situations and structures using algebraic symbols
13. 13. Algebra Represent and analyze mathematical situations and structures using algebraic symbols
14. 14. Understand meanings of operations and how they relate to one another
15. 15. Number and Operations Understand meanings of operations and how they relate to one another
16. 16. Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships
17. 17. Geometry Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships
18. 18. Understand numbers, ways of representing numbers, relationships among numbers, and number systems
19. 19. Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems
20. 20. Use mathematical models to represent and understand quantitative relationships
21. 21. Algebra Use mathematical models to represent and understand quantitative relationships
22. 22. Specify locations and describe spatial relationships using coordinate geometry and other representational systems
23. 23. Geometry Specify locations and describe spatial relationships using coordinate geometry and other representational systems
24. 24. Analyze change in various contexts
25. 25. Algebra Analyze change in various contexts