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.

1:

Monday

No class (Labor Day)

Wednesday

Introductions

Thursday

Read Grade 7: Chance and probability (CCSSM Progressions) for introduction to probability

Experimental probability and Law of large numbers

Friday

Create a Monte-Carlo simulation for d4 + d8

Experimental probability versus theoretical probability

  • Counting models: List (dice examples), grid, tree diagram
  • Practice: 2d4 (list/grid, tree)
  • CA 16F, CA 16G
  • Extra practice, Chapter 16.2 practice exercises: 1, 2;
  • Nrich: Odds and Evens

2:

Monday

Finish CA 16G

Probabilities with tree diagrams

  • relate tree diagrams to counting principle
  • weighted tree diagrams for probability: free throws
  • issues with spinners (also use protractors to approximate 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)
Wednesday

try spinners

try free throws challenge

Expected value

Thursday

Quiz 1

Friday

finish Games with points first page

Conditional probability

3:

Monday

Advanced probability

Wednesday

Linear functions

Thursday

Quiz 2

Friday

Read Patterns of patterns

Non-linear functions

4:

Monday

Solving linear equations

  • CA 9S, pan balance and strip diagrams (in book or D2L)
  • Extra practice, Chapter 9.4 practice exercises: 3
Wednesday

finish 1-6 on CA 9U (in book or D2L)

Solving linear equations (continued)

  • CA 9U, equations and word problems (in book or D2L)
  • as time permits, probability misconceptions (CA 16B, 16J, 16K)
  • Extra practice, Chapter 9.5 practice exercises: 1, 2, 3
Thursday

Review

  • clean out folders
  • review topics
  • team challenge (as time permits)
Friday

Exam 1

  • approved calculators allowed
  • one pages notes (1-sided, handwritten)
  • manipulatives, e.g., nets (that are cut out)

5:

Monday

New groups & review exam

Statistics introduction

  • What is a statistical question (Class Activity 15A #1)
  • types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line, scatterplot
  • Extra practice, Chapter 15.1 practice: 1
  • Extra practice, Class Activity 15C
Wednesday

Displaying data

  • types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line, scatterplot
  • CA 15E (data display errors), CA 15C (random sampling)
  • Extra practice, read Chapter 15.2
  • Extra practice, Chapter 15.1 practice: 3
Thursday

Quiz 3

Friday

Measures of center

  • CA 15K (use pictures instead of blocks)
  • CA 15L
  • CA 15M (also compute the median)
  • Extra practice, Chapter 15.3 practice: 1
  • Extra practice, Chapter 15.3 problems: 3 (32)

6:

Monday

Measures of center

Wednesday

Data distributions

  • CA 15T
  • definitions: skew, symmetrical, bimodal, mode, outliers, and box plots
  • CA 15U
  • define mean absolute deviation from mean (MAD)
  • CA 15W: compute MAD, IRQ
  • Extra practice,
Thursday

Quiz 4

Friday

Measures of spread

  • define variance and standard deviation
  • CA 15W: compute variance and standard deviation
  • compute variance different way
  • double-check CA 15W
  • Extra practice, 15.4 practice: 4

7:

Monday

Standard scores

Wednesday

Read "Normal Curves and Standardized Test Results" (p. 692-693)

Scatterplots

Logistics for final exam

Thursday

Quiz 5

Friday

finish scatterplot on comparisons

Scatterplots

8:

Monday

Student evaluations

Advanced statistics

  • tasks
Tuesday

Review

Thursday

Review

  • Questions only

Reminder: Final exam tonight!

Friday

No class

Final exam

Make-up examination