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

Introductions

Tuesday

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

Experimental probability and Law of large numbers

  • teams need: 2d6 (different colors), d4, d8
  • Roller derby with 2d6 (misconception: uniform probability)
  • Law of large numbers with Monte Carlo simulation
  • Roller derby with d4 + d8
Thursday

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
Friday

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)

2:

Monday

try spinners

try free throws challenge

Expected value

Tuesday

finish Games with points first page

Conditional probability

Thursday

Quiz 1

Friday

Linear functions

3:

Monday

Read Patterns of patterns

Non-linear functions

Tuesday

Solving linear equations

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

Quiz 2

Friday

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

4:

Monday

Finish 9U and 9W (in book or D2L)

Review

Tuesday

Exam 1

  • approved calculators
  • one page notes (one sided, handwritten)
Thursday

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

Assign dice distribution (optional bonus)

Friday

prepare displays

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

5:

Monday

dice distribution (optional bonus)

New groups

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)
Tuesday

finish CA 15M (in book or D2L)

Measures of center

Thursday

Quiz 3

Friday

review vocabulary on 15Q (in book or D2L)

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,

6:

Monday

finish CA 15W

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
Tuesday

Standard scores

Thursday

Quiz 4

Friday

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

Scatterplots

Logistics for final exam

7:

Monday

finish scatterplot on comparisons

Student evaluations

Scatterplots

Tuesday

Review

Thursday

Review

  • Questions only

Reminder: Final exam tonight! Make-up tomorrow evening.

Final exam

Make-up examination