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
Lesson 2. Representing data
Lesson 3. Representing data
Lesson 4. Representing data
Lesson 5. Representing data Part 2 Part 3 Part 4 Part 5 Part 6
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
Lesson 7. Median Part 1 Part 2 Part 3 Part 4
Lesson 8. Mode Part 1 Part 2 Part 3 Part 4 Part 5
Lesson 9. Range Part 1 Part 2 Part 3 Part 4
Lesson 10. Standard deviation Part 1 Part 2 Part 3 Part 4 Part 5
3. Have a basic understanding of the design of surveys, such as the role of a random sample.
Lesson 11. Random sample Sampling techniques Sampling techniques 2
Lesson 12. Samples and surveys
Lesson 13. Survey design Part 2 Part 3 Part 4
Lesson 14. Stratified sampling Simple random sampling Cluster sampling Quota sampling
Lesson 15. Problems Problems 2
Inferences, Predictions, and Arguments Based on Data
4. Interpret a graph, table, or chart representing a data set.
Lesson 16. Analyzing and interpreting data
Lesson 17. Analyzing and interpreting data
Lesson 18. Analyzing and interpreting data
Lesson 19. Analyzing and interpreting data
Lesson 20. Analyzing and interpreting data
Lesson 21. Analyzing and interpreting data
5. Investigate patterns of association in bivariate data (e.g., linear associations, goodness of fit) in scatter plots and frequency tables.
Lesson 22. Scatter plots Part 1 Part 2 Part 3 Part 4
Lesson 23. Correlations Part 1 Part 2 Part 3
Lesson 24. Linear Regression Part 1 Part 2 Part 3
Lesson 25. Bivariate Data Part 1 Part 2 Part 3 Part 4 Part 5 Part 6
6. Draw conclusions about a population from a random sample, and identify potential sources and effects of bias.
Lesson 26. Drawing conclusions
Lesson 27. Drawing conclusions
Lesson 28. Drawing conclusions
Lesson 29. Bias Part 1 Part 2 Part 3 Part 4
Basic Notions of Chance and Probability
7. Define the concept of probability in terms of a sample space of equally likely outcomes.
Lesson 30. Concept of probability Part2 Part 3 Part 4 Part5
Lesson 31. Dependent and independent events
Lesson 32. Conditional probability
Lesson 33. Problems
Lesson 34. Problems Part 2 Part 3
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
Lesson 36. Complementary events Part 2 Part 3
Lesson 37. Mutually exclusive events Part 2 Part 3 Part 4 Part 5
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
Lesson 39. Probability as decimals
Lesson 40. Probability as percents
Lesson 41. Probability as proportions Part 2
10. Find probabilities of compound events using various representations (e.g., organized lists, tables, tree diagrams, simulations).
Lesson 42. Listing Part 1 Part 2 Part 3
Lesson 43. Tables Part 1 Part 2 Part 3
Lesson 44. Tree Diagrams Part 1 Part 2 Part 3
Lesson 45. Simulations Part 1 Part 2 Part 3 Part 4 Part 5
Assessment
CSET Math Subtest II Statistics & Probability Questions: 14-15
Good multiple choice items for review: Work through problems that deal with statistics, probability, and data analysis.
NY Grade 3 State Test Questions
NY Grade 4 State Test Questions
NY Grade 5 State Test Questions
NY Grade 6 State Test Questions
NY Grade 7 State Test Questions
NY Grade 8 State Test Questions
Good constructed response items:
-
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.
-
Access the Illustrative Mathematics Project website. Open the Content Standards page. Open the Grades 1-5 Measurement and Data and Grades 6-8 Statistics & Probability pages and solve the tasks associated with this domain.