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# Final study guide

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Know the NCTM strands and its standards.

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• ### Final study guide

1. 1. Final Exam ReviewKnow the NCTM strands andstandards.
2. 2. Number and OperationsUnderstand numbers, ways ofrepresenting numbers, relationshipsamong numbers, and number systems.Understand meanings of operationsand how they relate to one another.Compute ﬂuently and make reasonableestimates.
3. 3. AlgebraUnderstand patterns, relations, andfunctionsRepresent and analyze mathematicalsituations and structures using algebraicsymbolsUse mathematical models to representand understand quantitative relationshipsAnalyze change in various contexts
4. 4. GeometryAnalyze characteristics and properties of two- andthree-dimensional geometric shapes and developmathematical arguments about geometricrelationshipsSpecify locations and describe spatial relationshipsusing coordinate geometry and otherrepresentational systemsApply transformations and use symmetry toanalyze mathematical situationsUse visualization, spatial reasoning, and geometricmodeling to solve problems
5. 5. MeasurementUnderstand measurable attributes ofobjects and the units, systems, andprocesses of measurementApply appropriate techniques, tools,and formulas to determine measurements
6. 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. 7. Apply appropriatetechniques, tools, andformulas to determinemeasurements
8. 8. MeasurementApply appropriatetechniques, tools, andformulas to determinemeasurements
9. 9. Use visualization, spatialreasoning, and geometricmodeling to solveproblems
10. 10. GeometryUse visualization, spatialreasoning, and geometricmodeling to solveproblems
11. 11. Understand patterns,relations, and functions
12. 12. AlgebraUnderstand patterns,relations, and functions
13. 13. Apply transformationsand use symmetry toanalyze mathematicalsituations
14. 14. GeometryApply transformationsand use symmetry toanalyze mathematicalsituations
15. 15. Formulate questions thatcan be addressed withdata and collect,organize, and displayrelevant data to answerthem
16. 16. Data Analysis & ProbabilityFormulate questions thatcan be addressed withdata and collect,organize, and displayrelevant data to answerthem
17. 17. Understand measurableattributes of objects andthe units, systems, andprocesses of measurement
18. 18. MeasurementUnderstand measurableattributes of objects andthe units, systems, andprocesses of measurement
19. 19. Compute ﬂuently andmake reasonableestimates
20. 20. Number and OperationsCompute ﬂuently andmake reasonableestimates
21. 21. Represent and analyzemathematical situationsand structures usingalgebraic symbols
22. 22. AlgebraRepresent and analyzemathematical situationsand structures usingalgebraic symbols
23. 23. Understand and applybasic concepts ofprobability
24. 24. Data Analysis & ProbabilityUnderstand and applybasic concepts ofprobability
25. 25. Understand meanings ofoperations and how theyrelate to one another
26. 26. Number and OperationsUnderstand meanings ofoperations and how theyrelate to one another
27. 27. Select and useappropriate statisticalmethods to analyze data
28. 28. Data Analysis & ProbabilitySelect and useappropriate statisticalmethods to analyze data
29. 29. Analyze characteristics andproperties of two- and three-dimensional geometricshapes and developmathematical argumentsabout geometric relationships
30. 30. GeometryAnalyze characteristics andproperties of two- and three-dimensional geometricshapes and developmathematical argumentsabout geometric relationships
31. 31. Understand numbers,ways of representingnumbers, relationshipsamong numbers, andnumber systems
32. 32. Number and OperationsUnderstand numbers,ways of representingnumbers, relationshipsamong numbers, andnumber systems
33. 33. Use mathematicalmodels to represent andunderstand quantitativerelationships
34. 34. AlgebraUse mathematicalmodels to represent andunderstand quantitativerelationships
35. 35. Develop and evaluateinferences andpredictions that arebased on data
36. 36. Data Analysis & ProbabilityDevelop and evaluateinferences andpredictions that arebased on data
37. 37. Specify locations anddescribe spatialrelationships usingcoordinate geometry andother representationalsystems
38. 38. GeometrySpecify locations anddescribe spatialrelationships usingcoordinate geometry andother representationalsystems
39. 39. Analyze change invarious contexts
40. 40. AlgebraAnalyze change invarious contexts