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Collection, Organization, and Representation of Data

 

1. Represent a collection of data through graphs, tables, or charts, incorporating technology as appropriate.

 

Lesson 1. Representing data

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Lesson 2. Representing data

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Lesson 3.  Representing data

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Lesson 4.  Representing data

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Lesson 5. Representing data   Part 2  Part 3  Part 4  Part 5  Part 6

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2. Understand the mean, median, mode, and range of a collection of data.

 

Lesson 6. Mean   Part 1   Part 2   Part 3   Part 4   Part 5

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Lesson 7. Median    Part 1   Part 2   Part 3   Part 4    

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Lesson 8. Mode    Part 1   Part 2   Part 3   Part 4   Part 5

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Lesson 9. Range   Part 1   Part 2   Part 3   Part 4    

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Lesson 10. Standard deviation    Part 1   Part 2   Part 3   Part 4   Part 5

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3. Have a basic understanding of the design of surveys, such as the role of a random sample.

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Lesson 11. Random sample   Sampling techniques   Sampling techniques 2

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Lesson 12. Samples and surveys

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Lesson 13. Survey design   Part 2    Part 3    Part 4

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Lesson 14. Stratified sampling   Simple random sampling   Cluster sampling   Quota sampling

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Lesson 15. Problems    Problems 2

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Inferences, Predictions, and Arguments Based on Data

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4. Interpret a graph, table, or chart representing a data set.

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Lesson 16. Analyzing and interpreting data

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Lesson 17. Analyzing and interpreting data

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Lesson 18. Analyzing and interpreting data

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Lesson 19. Analyzing and interpreting data

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Lesson 20. Analyzing and interpreting data

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Lesson 21. Analyzing and interpreting data

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5. Investigate patterns of association in bivariate data (e.g., linear associations, goodness of fit) in scatter plots and frequency tables.

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Lesson 22. Scatter plots   Part 1    Part 2    Part 3   Part 4

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Lesson 23. Correlations   Part 1   Part 2   Part 3

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Lesson 24. Linear Regression  Part 1  Part 2   Part 3

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Lesson 25. Bivariate Data  Part 1   Part 2   Part 3   Part 4   Part 5   Part 6

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6. Draw conclusions about a population from a random sample, and identify potential sources and effects of bias.

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Lesson 26. Drawing conclusions

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Lesson 27. Drawing conclusions

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Lesson 28. Drawing conclusions

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Lesson 29. Bias  Part 1   Part 2   Part 3   Part 4

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Basic Notions of Chance and Probability

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7. Define the concept of probability in terms of a sample space of equally likely outcomes.

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Lesson 30. Concept of probability   Part2   Part 3    Part 4    Part5

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Lesson 31. Dependent and independent events

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Lesson 32. Conditional probability

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Lesson 33. Problems

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Lesson 34. Problems    Part 2    Part 3

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8. Use their understanding of complementary, mutually exclusive, dependent, and independent events to calculate probabilities of simple events.

 

Lesson 35. Dependent and independent events  Part 2

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Lesson 36. Complementary events   Part 2   Part 3

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Lesson 37. Mutually exclusive events   Part 2  Part 3  Part 4   Part 5

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9. Express probabilities in a variety of ways, including ratios, proportions, decimals, and percents.

 

Lesson 38. Probability as ratios   Part 2    Part 3    Part 4

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Lesson 39. Probability as decimals

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Lesson 40. Probability as percents

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Lesson 41. Probability as proportions   Part 2

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10. Find probabilities of compound events using various representations (e.g., organized lists, tables, tree diagrams, simulations).

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Lesson 42. Listing  Part 1  Part 2  Part 3

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Lesson 43. Tables  Part 1  Part 2  Part 3

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Lesson 44. Tree Diagrams  Part 1  Part 2  Part 3

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Lesson 45. Simulations  Part 1  Part 2  Part 3    Part 4    Part 5

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Assessment

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CSET Math Subtest II Statistics & Probability Questions: 14-15

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Good multiple choice items for review: Work through problems that deal with statistics, probability, and data analysis.

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NY Grade 3 State Test Questions

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NY Grade 4 State Test Questions

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NY Grade 5 State Test Questions

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NY Grade 6 State Test Questions

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NY Grade 7 State Test Questions

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NY Grade 8 State Test Questions

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Good constructed response items: 

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  • Access the Mathematics Assessment Project website. Work through problems from the Grades 6 & 7 Tests for Middle School that deal with the statistics, probability, and data analysis domain. You may also access the summative tasks page if you want to solve more problems.  

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