# 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

Wednesday

try Nrich: Which spinners? with 1-6 and 1-6

#### How do experiments lead to probability?

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

Thursday

Use Excel to create a Monte-Carlo simulation for d4 + d8

#### How can we determine probability without experiments?

• 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;

Friday

watch counting principle

finish CA 16g (in Beckmann book or Canvas)

Daily quiz: Individual (formative)

#### How can tree diagrams be used in different contexts?

• tree diagram for CA 16g.2
• weighted tree diagrams for probability: free throws
• 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

Wednesday

Daily quiz: Group (formative)

Thursday

Friday

Daily quiz: Individual (formative)

### 3:

Monday

Wednesday

Daily quiz: Group (formative)

Thursday

Friday

Daily quiz: Individual (formative)

### 4:

Monday

Wednesday

Daily quiz: Group (formative)

Thursday

Friday

### 5:

Monday

New groups & review exam

Wednesday

Daily quiz: Group (formative)

Thursday

Friday

Daily quiz: Individual (formative)

### 6:

Monday

Wednesday

Daily quiz: Group (formative)

Thursday

Friday

Daily quiz: Individual (formative)

### 7:

Monday

Wednesday

Daily quiz: Group (formative)

Student evaluations

Thursday

Daily quiz

Reminder: Final exam tonight!

Friday