Probability and statistics in grades 1-8

Calendar

This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester.

Special note: "CA" stands for "Class Activities" as found near the end of the course textbook or scanned into Canvas.

1:

Wed/Thurs

Class preparation

Class: Introductions

2:

Mon/Tues

Class canceled due to Labor Day

Wed/Thurs

Class preparation

Class: How do experiments lead to probability?

  • discuss class preparation activities
  • introduce notation for experimental probability
  • Law of large numbers with Monte Carlo simulation using Excel

3:

Mon/Tues

Class preparation

Class: How can we determine probability without experiments?

  • discuss class preparation activities
  • Sample space for d4 + d8 using: list (dice examples), grid, tree diagram
  • Create list, grid or tree diagram for 2d4 (hint: P(5) = 1/4)
  • CA 16F, CA 16G
  • extra practice, Chapter 16.2 practice exercises: 1, 2

Wed/Thurs

Class preparation

Class: How can tree diagrams be used in different contexts?

  • discuss class preparation activities
  • tree diagram for CA 16G.2
  • weighted tree diagrams for probability: compound probabilities
  • extra practice, 16.2 practice exercises: 4
  • extra practice, 16.1 problems: 1 (3/8, 4/8, 6/8), 2 (various, 5/12, various)

4:

Mon/Tues

Class preparation

Class: How can tree diagrams be used in different contexts? (continued)

Wed/Thurs

Class preparation

Class: How can two-way tables be used to compute probabilities?

5:

Mon/Tues

Class preparation

Class: How do values influence probability situations?

Wed/Thurs

Class preparation

Class: How do values influence probability situations? (continued)

  • discuss class preparation activities
  • fair games challenge problems
  • extra practice, Watch Dan Gilbert's discussion on decision making

6:

Mon/Tues

Class preparation

Class: What are some misconceptions about probability?

  • discuss class preparation activities
  • discuss spinners
    (angle more important than area)
  • CA 16B, CA 16J, CA 16K
  • extra practice, Lost key puzzle

Wed/Thurs

Class preparation

Class: How can linear situations be identified?

  • discuss class preparation activities
  • start Is it linear?
  • extra practice, 16.3 problems: 14 (1/10, 20, $30)
  • extra practice, 16.4 problems: 1 (1/16), 2 (1/12), 9 (3/8)

7:

Mon/Tues

Class preparation

Class: How can (polynomial) formulas be developed for non-linear situations?

Wed/Thurs

Class preparation

Class: How can (polynomial) formulas be developed for non-linear situations? (continued)

8:

Mon/Tues

Class preparation

Review

  • discuss class preparation activities
  • clean out folders
  • review topics

Wed/Thurs

Class preparation

Exam I

  • discuss class preparation activities
  • approved calculators allowed
  • one pages notes (1-sided, handwritten)
  • manipulatives

9:

Mon/Tues

Class preparation

Review exam

Class: How can linear equations be solved different ways?

  • discuss class preparation activities
  • start CA 9U, strip diagrams
  • extra practice, read "Using a Model Approach to Enhance Algebraic Thinking in the Elementary School Mathematics Classroom" (in Canvas)

Wed/Thurs

Class preparation

Class: How can linear equations be solved different ways? (continued)

  • discuss class preparation activities
  • continue CA 9U, strip diagrams
  • (if time) CA 9W
  • extra practice, read Chapter 9.5
  • extra practice, Chapter 9.4 practice exercises: 3
  • extra practice, Chapter 9.5 practice exercises: 1, 2, 3

10:

Mon/Tues

Class preparation

Class: How can data be displayed different ways?

  • discuss class preparation activities
  • sampling 1b
  • types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line graph, scatterplot
  • extra practice, Chapter 15.1 practice: 1, 3
  • extra practice, CA 15C (see instructor with questions)

Wed/Thurs

Class preparation

Class: How can data be displayed different ways? (continued)

  • discuss class preparation activities
  • share types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line graph, scatterplot
  • data display errors (CA 15E)
  • extra practice, read Chapter 15.2
  • extra practice, Chapter 15.2 practice exercises: 1a, 2, 3

11:

Mon/Tues

Class preparation

Class: How can we measure the "center" of data?

  • discuss class preparation activities
  • arithmetic mean (leveling): CA 15K, CA 15L
  • median: CA 15K.2
  • extra practice, Chapter 15.3 practice exercises: 1
  • extra practice, Chapter 15.3 problems: 3 (32)

Wed/Thurs

Class preparation

Class: How can we measure variability of data? (IQR)

  • discuss class preparation activities
  • discuss CA 15K.2 medians
  • define quartiles (exclusive), five-number summary, IQR
  • CA 15T, 15P
  • extra practice, Chapter 15.3 practice exercises: 3
  • extra practice, Chapter 15.4 practice exercises: 3

12:

Mon/Tues

Class preparation

Class: How can we measure variability of data? (box plots and outliers)

  • discuss class preparation activities
  • discuss CA 15P
  • definitions: mode, bimodal, multimodal, outliers, and box plots
  • CA 15U: also create data with outlier
  • extra practice, review vocabulary on CA 15q
  • extra practice, read Chapter 15.4 "Box plots"

Wed/Thurs

Class preparation

Class: How can we measure variability of data?

  • discuss class preparation activities
  • CA 15W: compute MAD, IQR (if time)
  • CA 15W: compute variance, standard deviation
  • extra practice, reading: Chapter 15.4 "Summarizing distributions with mean and MAD"
  • extra practice, Chapter 15.4 practice exercises: 4
  • extra practice, read variance alternative computation

12:

Mon/Tues

Class preparation

Class: How can we measure variability of data? (box plots and outliers)

  • discuss class preparation activities
  • discuss CA 15P
  • definitions: mode, bimodal, multimodal, outliers, and box plots
  • CA 15U: also create data with outlier
  • extra practice, review vocabulary on CA 15q
  • extra practice, read Chapter 15.4 "Box plots"

Wed/Thurs

Class preparation

Class: How can we measure variability of data?

  • discuss class preparation activities
  • CA 15W: compute MAD, IQR (if time)
  • CA 15W: compute variance, standard deviation
  • extra practice, reading: Chapter 15.4 "Summarizing distributions with mean and MAD"
  • extra practice, Chapter 15.4 practice exercises: 4
  • extra practice, read variance alternative computation

13:

Mon/Tues

Class preparation

Enrichment activities

  • discuss class preparation activities

Wed/Thurs

No class for Thanksgiving break

  • discuss class preparation activities

15:

Mon/Tues

Class preparation

Are variables related to each other? (continued)

Student evaluations

Wed/Thurs

Class preparation

Review

  • discuss class preparation activities
  • clean out folders
  • review topics

16:

Mon/Tues

Class preparation

Review

topic

  • discuss class preparation activities
  • questions only
  • review topics

Final exam