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:

Wednesday

Introductions

Thursday

Read CCSSM Progression: Probability and statistics for overview of semester

Law of large numbers

Friday

Create a Monte-Carlo simulation for d4 + d8, bring probabilities to class

Theoretical probability and sample space

2:

Monday

Free throws

Compound probabilities

  • Discuss Free throws
  • spinners (also use protractors to approximate probabilities)
  • If time, start Games with points
  • Extra practice (ungraded), 16.1 problems: 1, 2
    (answers: 3/8, 1/2, 3/4, various, 5/12, various)
Wednesday

Expected value

  • Games with points
  • If time, WI Powerball
  • Extra practice (ungraded), 16.2 problems: 1
    (answers: 24)
  • Extra practice (ungraded), 16.3 problems: 1
    (answers: 1/16)
Thursday

Quiz 1

Friday

Conditional probability

3:

Monday

Linear functions

  • Is it linear? (look at differences of differences for last table)
  • Extra practice (ungraded), 16.4 problems: 1, 2, 9
    (answers: 1/16, 1/12, 3/8)
  • start finite differences
Wednesday

Read Patterns of patterns

Non-linear functions

  • finite differences
  • Extra practice (ungraded), 16.3 problems: 14
    (answers: 2/25, 16, $30)
Thursday

Quiz 2

Friday

(optional) print Beckman scans 9S in D2L

Solving linear equations

4:

Monday

Solving linear equations (continued)

Wednesday

Finish 9U: 1-10 (Beckman scans 9S in D2L)

Review

Thursday

Exam 1

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

Statistics introduction

  • What is a statistical question (Class Activity 15A #1)
  • Class Activity 15C (see D2L)
  • Extra practice, Chapter 15.1 practice: 1

Assign dice distribution (optional bonus)

5:

Monday

Complete Class Activity 15C (see D2L)

New groups

Displaying data

  • Discuss warm-up by comparing different solutions to 15C.1
  • Questions about student work in 15C.2?
  • types of displays: pictographs, bar , pie, dot, histogram, steam-and-leaf, line, scatterplot
  • Extra practice, Chapter 15.1 practice: 3
Wednesday

dice distribution (optional bonus)

Displaying data

  • CA 15E
  • CA 15G #2
  • Extra practice, Chapter 15.2 practice: 3
Thursday

Quiz 3

Friday

Measures of center

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

6:

Monday

CA 15M

Measures of center

  • CA 15M (calculate the median)
  • CA 15P
  • CA 15O
  • define quartiles, five-number summary, IQR
  • Start CA 15T
  • Extra practice, 15.4 practice: 3
Wednesday

review vocabulary on 15Q

Data distributions

  • CA 15T
  • definitions: skew, symmetrical, bimodal, mode, outliers, and box plots
  • CA 15U
  • extension: create data with high outlier
  • Extra practice,
Thursday

Quiz 4

Friday

Measures of spread

  • define mean absolute deviation (MAD)
  • CA 15W (compute MAD)
  • define variance and standard deviation
  • CA 15W (compute variance and standard deviation)
  • Extra practice, 15.4 practice: 4

7:

Monday

Variability

Wednesday

finish standard scores

Normal distribution

Thursday

Quiz 5

Friday

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

Scatterplots

8:

Monday

Data comparisons

Wednesday

Revisit probes

student evals

Thursday

Review

Friday

Optional

  • answering questions only

Reminder: Final exam tonight!!!

Final exam

Make-up examination