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.

Special note: "CA" stands for "Class Activities" as found near the end of the course textbook or scanned into Canvas.

1:

Monday

Wednesday

Introductions

Thursday

experiment with NRICH: Which spinners?

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

Friday

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

2:

Monday

watch counting principle

finish CA 16g

Daily quiz (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)

Wednesday

try Kobe Bryant free throws

How can tree diagrams be used in different contexts? (continued)

Thursday

try free throws challenge (will discuss next class)

How can two-way tables be used to compute probabilities?

Friday

free throws challenge

Daily quiz (formative)

3:

Monday

Daily quiz (formative)

Wednesday

try spinners

What are some misconceptions about probability?

• discuss spinners
(angle more important than area)
• CA 16K
• extra practice, Lost key puzzle

Thursday

CA 16B and 16J

How can linear situations be identified?

• start Is it linear?
• extra practice, 16.4 problems: 1 (1/16), 2 (1/12), 9 (3/8)

Friday

Daily quiz (formative)

4:

Monday

Daily quiz (formative)

How can (polynomial) formulas be developed for non-linear situations? (continued)

• finish finite differences
• start CA 9U, strip diagrams
• extra practice, 16.3 problems: 14 (2/20, 20, \$30)
• extra practice, read "Using a Model Approach to Enhance Algebraic Thinking in the Elementary School Mathematics Classroom" (in Canvas)

Wednesday

finish through #4 on CA 9U

How can linear equations be solved different ways?

• CA 9U, strip diagrams
• (if time) CA 9W
• extra practice, read Chapter 9.5
• extra practice, Chapter 9.4 practice exercises: 3
• extra practice, Chapter 9.5 practice exercises: 1, 2, 3

Thursday

Friday

Exam I

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

5:

Monday

New groups & review exam

What is statistics?

• What is a statistical question (CA 15A.1)
• types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line graph, scatterplot
• extra practice, Chapter 15.1 practice: 1, 3
• extra practice, CA 15C (see instructor with questions)

Wednesday

How can data be displayed different ways?

• share types of displays: pictographs, bar, pie, dot, histogram, steam-and-leaf, line graph, scatterplot
• data display errors (CA 15E)
• extra practice, reading: Chapter 15.2
• extra practice, Chapter 15.2 practice exercises: 1a, 2, 3

Thursday

How can we measure the "center" of data?

• arithmetic mean (leveling): CA 15K, CA 15L
• median: CA 15K.2
• extra practice, Chapter 15.3 practice exercises: 1
• extra practice, Chapter 15.3 problems: 3 (32)

Friday

6:

Monday

find medians for each list in 15K.2

Daily quiz (formative)

How can we measure variability of data? (IQR)

• discuss CA 15K.2 medians
• define quartiles (exclusive), five-number summary, IQR
• CA 15T, 15P
• extra practice, Chapter 15.3 practice exercises: 3
• extra practice, Chapter 15.4 practice exercises: 3

Wednesday

finish CA 15P

How can we measure variability of data? (box plots and outliers)

• discuss CA 15P
• definitions: mode, bimodal, multimodal, outliers, and box plots
• CA 15U: also create data with outlier
• extra practice, review vocabulary on CA 15q
• extra practice, reading: Chapter 15.4 "Box plots"

Thursday

finish CA 15U

How can we measure variability of data?

• CA 15W: compute MAD, IRQ (if time)
• CA 15W: compute variance, standard deviation
• extra practice, reading: Chapter 15.4 "Summarizing distributions with mean and MAD"
• extra practice, Chapter 15.4 practice exercises: 4
• extra practice, reading: variance alternative computation

Friday

Daily quiz (formative)

Planning for final exam

7:

Monday

finish standard scores

Daily quiz (formative)

Wednesday

Are variables related to each other? (continued)

Student evaluations

Thursday

Review

Final exam at 7 pm (Hibbard 100)

• one page of notes (1 sided, handwritten)
• approved calculators

Friday

End of course information

• Use the arrow buttons to see the weekly calendar