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Final study guide
The document provides a review of topics for a final exam in mathematics, including the five NCTM standards of number and operations, algebra, geometry, measurement, and data analysis & probability. For each standard, it lists several key concepts and skills that students should understand, such as understanding numbers and operations, representing mathematical situations algebraically, analyzing geometric relationships, applying measurement techniques, and using data to make inferences.
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Final study guide
- 1. Final Exam Review Knowthe NCTM strands and standards.
- 2. Number and Operations Understandnumbers, 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.
- 3. 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
- 4. Geometry Analyze characteristics andproperties 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
- 5. Measurement Understand measurable attributesof objects and the units, systems, and processes of measurement Apply appropriate techniques, tools, and formulas to determine measurements
- 6. Data Analysis &Probability Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them Select and use appropriate statistical methods to analyze data Develop and evaluate inferences and predictions that are based on data Understand and apply basic concepts of probability
- 7. Apply appropriate techniques, tools,and formulas to determine measurements
- 8. Measurement Apply appropriate techniques, tools,and formulas to determine measurements
- 9. Use visualization, spatial reasoning,and geometric modeling to solve problems
- 10. Geometry Use visualization, spatial reasoning,and geometric modeling to solve problems
- 11. Understand patterns, relations, andfunctions
- 12.
- 13. Apply transformations and usesymmetry to analyze mathematical situations
- 14. Geometry Apply transformations and usesymmetry to analyze mathematical situations
- 15. Formulate questions that canbe addressed with data and collect, organize, and display relevant data to answer them
- 16. Data Analysis &Probability Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
- 17. Understand measurable attributes ofobjects and the units, systems, and processes of measurement
- 18. Measurement Understand measurable attributes ofobjects and the units, systems, and processes of measurement
- 19. Compute fluently and makereasonable estimates
- 20. Number and Operations Computefluently and make reasonable estimates
- 21. Represent and analyze mathematicalsituations and structures using algebraic symbols
- 22. Algebra Represent and analyze mathematicalsituations and structures using algebraic symbols
- 23. Understand and apply basicconcepts of probability
- 24. Data Analysis &Probability Understand and apply basic concepts of probability
- 25. Understand meanings of operationsand how they relate to one another
- 26. Number and Operations Understandmeanings of operations and how they relate to one another
- 27. Select and use appropriatestatistical methods to analyze data
- 28. Data Analysis &Probability Select and use appropriate statistical methods to analyze data
- 29. Analyze characteristics and propertiesof two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships
- 30. Geometry Analyze characteristics and propertiesof two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships
- 31. Understand numbers, ways ofrepresenting numbers, relationships among numbers, and number systems
- 32. Number and Operations Understandnumbers, ways of representing numbers, relationships among numbers, and number systems
- 33. Use mathematical models torepresent and understand quantitative relationships
- 34. Algebra Use mathematical models torepresent and understand quantitative relationships
- 35. Develop and evaluate inferencesand predictions that are based on data
- 36. Data Analysis &Probability Develop and evaluate inferences and predictions that are based on data
- 37. Specify locations and describespatial relationships using coordinate geometry and other representational systems
- 38. Geometry Specify locations and describespatial relationships using coordinate geometry and other representational systems
- 39. Analyze change in variouscontexts
- 40.