# Probability and statistical thinking

## Calendar of learning activities

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:

WTh

Class preparation

• Complete Day 1 handout (syllabus game, statistical question, sampling, fraction operations) and bring to class.
• (optional) answer the "off topic" question in this week's discussion board

#### Class agenda: Introductions

1. discuss class preparation activities (prep slides)
2. assign groups
3. Q&A

Extra practice

### 2:

TMTh

Class preparation

#### Class agenda: How do experiments lead to probability? How can we determine probability without experiments?

1. discuss class preparation activities
2. teams need: 2d6 (different colors), d4, d8, Roller derby board
3. notation for experimental probability,
P(event) = (# event)/(total # outcomes)
4. Law of large numbers: as number of trials increase, the closer the experimental probability reflects the actual (theoretical) probability (Excel)
5. represent sample space for 2d6 using: list (e.g., dice), grid, tree diagram; then compute theoretical probabilities
6. compute theoretical probabilities for 2d4 using a sample space (hint: P(5) = 1/4)

Extra practice

### 3:

MTWTh

Class preparation

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

1. discuss class preparation activities
2. tree diagram for CA 16G.2
3. weighted tree diagrams for compound probabilities

Extra practice

### 4:

MTWTh

Class preparation

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

1. discuss class preparation activities
2. two-way frequency tables with experimental data
3. two-way frequency tables with theoretical data

Extra practice

Assign Online Graded quiz (due day after in-person class)

### 5:

MTWTh

Class preparation

#### Class agenda: How do values influence probability situations?

1. discuss class preparation activities
2. expected value = value1 * probability1 + value2 * probability2 + …
3. use expected value to analyze fair games
4. if time, CA 16K (expected earnings)

Extra practice

### 6:

MTWTh

Class preparation

• Formative quiz (in this week's discussion board)
• Try CA 16B (probability misconceptions) and bring to class for discussion
• Try CA 16J (more probability misconceptions) and bring to class for discussion
• Try CA 16K (expected earnings) and bring to class for discussion
• Try spinners and bring to class for discussion
• (optional) answer the "off topic" question in this week's discussion board

#### Class agenda: How can equations be solved different ways?

1. discuss class preparation activities
2. discuss spinners
(angle more important than area)
3. CA 16B, CA 16J, CA 16K
4. CA 9U, with strip diagrams and algebra

Extra practice

### 7:

MTWTh

Class preparation

• No formative quiz because of graded quiz
• Try next two problems on CA 9U (strip diagrams) and bring to class

#### Class agenda: How can (polynomial) formulas be developed from tables?

1. discuss class preparation activities
2. create functions from tables (tutorial, tutorial video)
3. in-class group quiz (graded, last 20 mins)

Extra practice

• Supplemental Instructor's notes (with class recording) and extra practice
• 16.4 problems: 1 (1/16), 2 (1/12), 9 (3/8)
• Chapter 9.4 practice exercises: 3
• Chapter 9.5 practice exercises: 1, 2, 3

Note: Today there is a in-class graded quiz (absent students or students with accommodations may take the online version)

### 8:

MTWTh

Class preparation

#### Class agenda: How can linear equations be identified?

1. discuss class preparation activities
2. finish functions from tables
3. linear formats (also see Is it linear?)

Extra practice

### 9:

MTWTh

Class preparation

#### Class agenda: Exam I

• approved calculators allowed
• one pages notes (1-sided, handwritten) allowed

### 10:

MTWTh

Class preparation

#### Class agenda: How can data be displayed different ways?

1. discuss class preparation activities
2. types of displays: pictographs, dot plot, bar graph, histogram, steam-and-leaf, line graph, scatterplot
3. share types of displays
4. CA 15E (data display errors)

Extra practice

### 11:

MTWTh

Class preparation

#### Class agenda: How can we measure the "center" of data? How can we measure variability of data? (IQR)

1. discuss class preparation activities
2. arithmetic mean with leveling
3. define: median, quartiles (exclusive), five-number summary, IQR
4. start CA 15T (medians and IQR)
5. plan for online learning starting Nov 23 (based on surveys)

Extra practice

• Supplemental Instructor's notes (with class recording) and extra practice
• Chapter 15.3 practice exercises: 1, 3
• Chapter 15.3 problems: 3 (32)
• Chapter 15.4 practice exercises: 3
• Try CA 15O (see instructor to check answers)

### 12:

MTWTh

Class preparation

• Formative quiz (10 minutes)
• Try CA 15T (quartiles and IQR) and bring to class
• Try CA 15P (misconceptions with median) and bring to class

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

1. discuss class preparation activities
2. definitions: mode, bimodal, multimodal, outliers, and box plots
3. CA 15U (box plots)

Extra practice

Assign Graded quiz (due day after in-person class)

### 13:

MTW

Video preparation

#### Video: How can we measure variability of data? (MAD, variance, standard deviation)

1. discuss class preparation activities
2. CA 15W (MAD, IQR, variance, standard deviation)
3. start stats variability practice

### 14:

MTWTh

Video preparation

#### Video: How can we compare different scores?

1. discuss class preparation activities
2. introduce student data and normal distributions
3. standard scores (aka. z-scores)

#### Zoom: Extra practice

• Supplemental Instructor's extra practice
• Read: Chapter 15.4 "Normal curves and standardized test results"

Assign Graded quiz (due Friday 11:59PM)

### 15:

MTWTh

Video preparation

#### Video: Are variables related to each other?

1. discuss class preparation activities
2. bivariate data and quartile-quartile lines

#### Zoom: Extra practice

Student evaluations?

### Final exam

• Tuesday, December 15 at 3pm (online)
• one page of notes, one sided, handwritten
• approved calculator