MATH 659

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Day 1, Week 1 (Friday, April 15, In person) 12pm – 6pm
Pre-meeting homework: Log onto Blackboard and answer question on Discussion Board.
Time
12:00-12:10
Title
Introduction
12:15-12:20
Tea Problem
12:20-12:30
12:30-1:00
Sandwich problem
Object Graphs About Us
1:00 – 1:30
SOL Scramble
1:30-1:45
1:45-2:00
2:00-2:45
Big Ideas of a Statistical
Investigation
Break
A Data Investigation –
group (well-known
person activity)
2:45-3:30
Grab a Handful
3:30 – 3:50
Pros and Cons of Each
Average (Class
discussion)
3:50-4:05
4:05-4:30
Break
Choosing an Average
4:30-4:55
4:55-5:40
Which Average Should
We Use?
How Many Raisins?
5:40-6:00
Historical Graphs
Prep
Syllabi
Portfolio handouts
Overhead
handouts
Unifix cubes
Wooden cubes
Sticky notes
Binder pages, scissors
Handouts
Notes
Historical importance of
question
Importance of graphs
Categorical data
Types of graphs for
categorical data
20 minutes for group
10 minutes for class
Statistical process
Facilitator’s Guide p. 32
Poster paper
Markers
Sticky notes
Unifix cubes
30 min – group
15 min-class
Categorical data
Creating categories
Mode
Median
Box-and-whisker plots
Mean
Class discussion on
advantages and
disadvantages of mean,
median, and mode
handout
As a class discuss one of
the situations
Have groups discuss 2
or 3 situations
Make line plot
Demonstrate mode,
median, and mean by
manipulating boxes
Also do box-andwhisker plot
handout
Snack raisin boxes
Masking tape
Homework: Read Working with Data Chapter 1 and do Focus Questions, Facilitator’s guide p. 33.
Note: Scan homework as JPG file. It is easier to import into Wimba classroom.
Day 2, Week 1, (Saturday, April 16, In person) 8:30am – 2pm
Due date/time
8:30 – 8:50
Title
Grab a Handful
Prep
Groups (3x3 & 4x4)
8:50 – 9:00
How Many Raisins?
More data
Raisin boxes with
different brand
9:00 – 9:30
How Many Raisins?
Stem and leaf plots
Data from yesterday
9:30 – 10:00
How Many Raisins?
Back-to-back stem and
leaf plots
Groups
10:00 – 10:15
10:15 – 10:35
10:35 – 11:35
Break
Student Work Analysis
What Would You Do?
11:35 – 12:00
Finding mean using a
balance
Lunch
Money Bag interactive
lecture
Rabbit Families
12:00 – 12:30
12:30-1:00
1:00-1:30
1:30-2:00
DMI Chapter 1 Focus
Questions
notes
Use data from
yesterday to make a
stem & leaf plot
Students will collect
data again using this
new brand and make
stem and leaf graph for
new data
Class discussion on
stem and leaf plots of
various sizes (10
minutes)
Students make stem
and leaf plots for
yesterday’s data of
various sizes (20
minutes)
Class discussion (10
minutes)
Students will make
back-to-back S&L plots
Actual 1 vs. Actual 2
Guess 1 vs. Guess 2
Actual 1 vs. Guess 1
Actual 2 vs. Guess 2 (20
minutes)
Grading rubric handouts Class discussion
Copies of surveys and
Group and whole class
overheads
Balance
Class discussion
Rabbit Families handout
powerpoint
Rabbit Families handout
Introduction to
standard deviation
Groups order sets then
find standard deviation
20 minutes group
10 minutes class
Homework: Watch Session 1: How Many Pockets? Grade 2 (18:30) video. Read DMI Chapter 2 and
answer Focus Questions, Facilitator’s guide p. 43. Hand out NCTM probability and statistics standards
for next week’s activity.
Day 3, Week 2, (Wednesday, April 20, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-4:50
Title
DMI session 1 video
4:50-5:30
NCTM/SOL comparison
5:30-6:10
Focus Questions,
Chapter 2
6:10-6:20
How Many Years
(individual activity)
6:20-6:30
Reading assignment
(individual activity)
6:30-6:45
Surveys of Our Group
(group activity)
6:45-7:00
Brainstorming of ideas
for major group project
Preparation
Students watch video before
class and answer focus questions
on video
Have questions on Powerpoint
presentation.
Word document with NCTM
standards
Include questions on Powerpoint
presentation
 How are NCTM standards
similar/different from SOL?
 Do the SOL miss any NCTM
standards?
Students read chapter 2 and
answer questions before class.
Have questions on Powerpoint
presentation.
Have question “How many years
have you been teaching?” on
Powerpoint. Include directions
for activity for next week. Have
student respond to question
using chat room.
Blackboard contains activity and
data.
Due 5pm on Monday, April 25
Powerpoint includes Chapter 3
reading assignment and
Blackboard includes Focus
Questions, facilitator’s guide p.
52. Due before Day 4 class.
Powerpoint explanation of
activity.
Blackboard contains activity,
Facilitator’s guide p. 44.
Due 5pm on Monday, April 25
Powerpoint explanation
Notes
10 minutes group
discussion
10 minutes class
discussion
20 minutes group
discussion
20 minutes class
discussion
20 minutes group
discussion
20 minutes class
discussion
Lecture and questions
on activity
lecture
Lecture and questions
on activity
Students spend the
remaining class time
discussing possible
questions for major
project
Day 4, Week 3, (Wednesday, April 27, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-4:50
Title
Preparation
How Many Years
Student work on Powerpoint
presentation.
4:50-5:30
Focus Questions,
Chapter 3
5:30-6:30
Surveys of Our Group
6:30-6:35
Commuting Time data
collection (individual
activity)
Students read chapter 3 and
answer questions before class.
Have questions on Powerpoint
presentation.
Group work on Powerpoint
presentation.
Powerpoint includes explanation
of collection of data
Due before Day 5 class
6:35-6:40
Number of Pets
(individual graded
activity)
Reading and video
assignment (individual
activity)
6:40-6:45
Describing Numerical
Data (individual
activity)
6:45-6:50
Student work analysis
(individual activity)
6:50-7:00
Determine question for
group project
Notes
Students discuss
describing graph vs.
analyzing data
20 minutes group
discussion
20 minutes class
discussion
10 minute maximum
per group explanation
Lecture and questions
on data collection
Due before class on Day 5
Powerpoint includes Chapter 4
reading assignment and Pocket
Data excerpt video. Blackboard
includes Focus Questions,
facilitator’s guide p. 64 and p. 59
for each. Due before Day 5 class.
Powerpoint explanation of
activity. Blackboard contains
activity and facilitator’s guide, p.
53-54.
Due before Day 5 class. E-mail
graphs to other group members
before class.
Powerpoint explanation.
Need a sample of student work
for Day 5 class. E-mail work to
other group members before
class.
Powerpoint explanation. Due by
5pm on Monday, May 2.
lecture
Lecture and questions
on activity
Lecture and questions
on activity
Lecture and questions
Students spend
remaining time on
project
Day 5, Week 4, (Wednesday, May 4, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:10
Title
Preparation
Describing Numerical
Data
Sharing student work
Questions on Powerpoint
presentation.
Students share their ideas of
excellent, average, and below
average work with their groups.
5:35-6:15
Focus Questions,
Chapter 4
6:15-6:35
Pocket Data excerpt
video
Reading and video
assignment (individual
activity)
Students read chapter 4 and
answer questions before class.
Have questions on Powerpoint
presentation.
Have questions on Powerpoint
presentation.
Powerpoint includes Chapter 5
reading assignment and How
Many Teeth Have You Lost?
video. Blackboard includes
Focus Questions, facilitator’s
guide p. 81 and p. 73 for each.
Due before Day 6 class.
Powerpoint explanation of
activity.
Students use chat room to report
their time. Due before Day 6
class. Post activity, facilitator’s
guide p. 56, and class data on
Blackboard.
Powerpoint explanation.
Blackboard posting of activity,
facilitator’s guide, p. 65-66. Email your graphs to other group
members before Day 6 class.
Powerpoint explanation.
Blackboard posting of activity.
Due by 5pm on Monday, May 9.
Students use chat room to report
their number of pockets.
Powerpoint explanation
Return acceptance or
suggestions for changes of group
project question before class.
5:10-5:35
6:35-6:40
6:40-6:45
Commuting time
(individual graded
activity)
6:45-6:50
Median as a Tool
(individual activity)
6:50-6:55
How Many Pockets
(group activity)
6:55 – 7:00
Group Project
Notes
20 minutes group
20 minutes class
20 minutes group
discussion
5 minutes class
questions
20 minutes group
discussion
20 minutes class
discussion
10 minutes group
10 minutes class
lecture
Lecture and questions
on activity
Lecture and questions
on activity
Lecture and questions
Students spend
remaining time working
on group project.
Day 6, Week 5, (Wednesday, May 11, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:00
Title
Median as a Tool
5:00-5:40
Focus Questions,
Chapter 5 and video
5:40-6:10
How Many Pockets
6:10-6:30
How Many Teeth Have
You Lost? video
6:30-6:35
Reading assignment
(individual activity)
6:35-6:45
Box Plots (individual
activity)
6:45-6:50
6:50-7:00
Army Physical Fitness
test (individual graded
activity)
Averages, Part 1
(individual activity)
Plan pilot for group
project
Preparation
Notes
Questions on Powerpoint
presentation and four line plots.
Students read chapter 5 and
answer questions before class.
Have questions on Powerpoint
presentation.
Group work on Powerpoint
presentation.
Students watch video and
answer questions before class.
Have questions on Powerpoint
presentation.
Powerpoint includes Chapter 6
reading assignment. Blackboard
includes Focus Questions, p. 88.
Due before Day 7 class.
Powerpoint explanation of
activity.
Blackboard includes activity,
facilitator’s guide, p. 89-90.
Due by 5pm, Monday, May 16 .
15 minutes group
15 minutes class
20 minutes group
discussion
20 minutes class
discussion
5 minute maximum per
group explanation
10 minutes group
discussion
10 minutes class
discussion
lecture
Lecture and questions
on activity
Due before Day 7.
Powerpoint explanation.
Blackboard includes activity,
facilitator’s guide, p. 92.
E-mail work to other group
members before class.
Powerpoint explanation. Due on
Friday, June 3.
Lecture and questions
on activity
Lecture and questions
Students spend
remaining time on
project
Day 7, Week 6, (Wednesday, May 18, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:00
Title
Box Plots
5:00-5:40
Focus Questions,
Chapter 6
5:40-6:20
Averages, Part 1
6:20-6:25
Reading and video
assignments (individual
activity)
6:25-6:35
Stem and Leaf Plots
(individual activity)
6:35-6:45
Box Plots Homework
(individual graded
activity)
6:45-6:50
Averages, Part 2
(individual activity)
6:50-7:00
Plan pilot for group
project
Preparation
Questions on Powerpoint
presentation and original plots
for problem 1.
Box Plots for Lost Teeth on
Powerpoint
Students read chapter 6 and
answer questions before class.
Have questions on Powerpoint
presentation.
Questions on Powerpoint
presentation.
Powerpoint includes Chapter 7
reading assignment and
Comparing heights video.
Blackboard includes Focus
Questions, p. 108 and p. 103 for
each. Due before Day 8 class.
Powerpoint explanation.
Blackboard includes activity, p.
77 -80. Due 5pm on Monday,
May 23.
Powerpoint explanation of
activity.
Blackboard includes problem.
Use number of jumps from
facilitator’s guide p. 78
Due before Day 8 class.
Powerpoint explanation.
Blackboard includes activity,
facilitator’s guide, p. 99.
E-mail work to other group
members before class.
Powerpoint explanation. Due on
Friday, June 3.
Notes
10 minutes group
discussion
20 minutes class
discussion on different
student graphs
20 minutes group
discussion
20 minutes class
discussion
20 minutes group
discussion
20 minutes class
discussion
lecture
lecture
Lecture and questions
on activity
Lecture and questions
on activity
Lecture and questions
Students spend
remaining time on
project
Day 8, Week 7, (Wednesday, May 25, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:00
Title
Stem and Leaf Plots
Preparation
Questions on Powerpoint
presentation and original plots
for problem 1.
Box plots for Lost Teeth on
Powerpoint.
Students read chapter 7 and
answer questions before class.
Have questions on Powerpoint
presentation.
Students watch video and
answer questions before class.
Have questions on Powerpoint
presentation.
Questions on Powerpoint
presentation.
5:00-5:40
Focus Questions,
Chapter 7
5:40-6:00
Comparing Heights
video
6:00-6:40
Averages, Part 2
6:40-6:50
Midterm exam
Exam posted on Powerpoint.
Due 12pm on Friday, June 3.
6:50-7:00
Plan pilot for group
project
Powerpoint explanation. Due on
Friday, June 3.
Notes
10 minutes group
discussion
20 minutes class
discussion on different
student graphs
20 minutes group
discussion
20 minutes class
discussion
10 minutes group
discussion
10 minutes class
discussion
20 minutes group
discussion
20 minutes class
discussion
Lecture
Explain open book and
notes but cannot
discuss problems with
ANYONE online,
electronically, etc.
Lecture and questions
Students spend
remaining time on
project
Day 9, Week 8, (Friday, June 3, In person) 12pm – 6pm
Due date/time
12:00 – 12:15
Title
Introductions
Prep
12:15 – 12:30
12:30 – 1:15
Lecture of Correlation
Making Scatter
Diagrams
Handout with examples
3x3, 4x4 groups
Measuring tapes
1:15 – 2:00
Group Project Pilot
Students bring 3 copies
of their group pilots
2:00 – 2:15
2:15 – 2:45
Break
Two Flips
2:45 – 3:15
Odd Man Out
3:15 – 3:35
3:35-4:05
Tree diagram, sample
space , theoretical vs.
experimental
probability lecture
Paper-Rock-Scissors
4:05-4:20
4:20-5:10
break
Horse Race
5:10-5:30
Law of Large Numbers
and experimental vs.
theoretical probability
One coin or two-color
counter per student
One coin or two-color
counter per student
notes
Overview of weekend
List of materials
teachers will need for
this part of course
Collect month of birth
(1, 2, …), length of
forearm, and length of
foot. (10 minutes)
Each group makes
scatterplot to
determine if correlation
exists
Month vs. forearm
Forearm vs. foot
Month vs. foot
(25 minutes) each
group is made up of
different projects
critique each pilot
(20 minutes) groups
reexamine their
projects
Same vs. different
Students work in pairs
Class discussion
Students work in groups
of 3
Which is different?
Class discussion
Use previous examples
Class discussion
Students work in pairs
Class discussion
Handout and pair of
dice for each teacher
Students work
individually, then in
groups, then as a class
Use data from previous
activities
5:30 – 6:00
lecture
Even-Odds Game
20 counters and 2 dice
for each group
Play in groups
Class discussion
Homework: Read “Correlation, Junior Varsity Style.” Do activity on page 127-128 and Exercises 1 and 2
on page 131. Each group should write a brief update of project plan, question, method of gathering
data, to turn in.
Day 10, Week 8, (Saturday, June 4, In person) 8:30am – 2pm
Due date/time
8:30 – 8:50
Title
Terri and Teddy Bear
8:50 – 9:10
10:35 – 11:05
Counting principle
lecture
permutation and
combinations activity
and lecture
Break
combinations activity
and lecture
Scratching Spots
11:05 – 11:50
Domino Draw
11:50 – 12:20
12:20-1:05
Lunch
Allowing Allowance
1:05-1:30
Expected value
1:30-2:00
Correlation, Junior
Varsity Style
9:10 – 10:00
10:00 – 10:15
10:15 – 10:35
Prep
handouts
notes
Groups
Class discussion
Use data from bears
Powerpoint interactive
presentation
Group work
Class discussion
Powerpoint interactive
presentation
handout
Group work
Class discussion
Group activity
Class discussion
Group work
Class discussion
Dominoes for each
group
Handouts
Paper bags
Paper money
Group work
Class discussion
Use data from previous
activity and yesterday’s
activities
20 minutes group
10 minutes class
Homework: Read “Lunch Wheel Spin” and answer Focus Questions. Perform Spin City from Navigations
3-5 and Spin It from Navigations K-2. E-mail data for each by 5pm Monday, June 6.
Day 11, Week 9, (Wednesday, June 8, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:00
Spin It
Activity on Powerpoint.
Powerpoint student data
individual, one group, half class,
full class.
5:00-5:30
Lunch Wheel Spin
5:30-5:50
Spin City
Students read Lunch Wheel Spin
and answer questions before
class.
Have questions on Powerpoint
presentation.
Activity on Powerpoint.
Powerpoint student data
individual, one group, half class,
full class.
5:50-6:20
Matching Line Plots
with Spinners
Powerpoint page 116 from 3-5
Navigations.
6:20-6:30
Readings and focus
questions (individual
activity)
6:30-6:40
Some Sums and Is It
Fair? (individual
activities)
Even odds Revisited
(individual graded
activity)
Group statistics project
Powerpoint explanations.
Blackboard focus questions for
“Young Students Investigate
Number Cubes” in K-2 and
“Exploring Probability through
Even-Odds Game” in 3-5. Due by
Day 12.
Powerpoint explanation.
Blackboard posting of activities.
Due by 5pm Monday, June 13.
Powerpoint explanation.
Blackboard posting of activity.
Due by Day 12.
6:40-6:50
6:50-7:00
Title
Preparation
Notes
15 minutes group
discussion
15 minutes class
discussion on Law of
Large Numbers
15 minutes group
discussion
15 minutes class
discussion
10 minutes group
discussion
20 minutes class
discussion on
theoretical vs.
experimental
probability
15 minutes group
discussion
15 minutes class
discussion
Lecture
Lecture
Students have the
remaining time to work
on group statistics
project.
Day 12, Week 10, (Wednesday, June 15, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-4:55
Title
Preparation
Some Sums
Activity on Powerpoint.
Powerpoint student data.
4:55-5:15
Young Students
Investigate Number
Cubes
5:15-5:40
Is it Fair?
Students read article and
answered questions before class.
Have questions on Powerpoint
presentation.
Activity on Powerpoint.
Powerpoint student data.
5:40-6:00
Exploring Probability
through Even-Odds
Game
6:20-6:30
Even Odds Revisited
6:30-6:35
Reading and focus
questions (individual
activity)
6:35-6:45
Cubes from a Bag
(individual graded
activity)
6:45-6:50
Checking License Plates
and Morse Code (group
activity)
Group statistics project
6:50-7:00
Students read article and
answered questions before class.
Have questions on Powerpoint
presentation.
Activity of Powerpoint
Notes
10 minutes group
discussion
15 minutes class
discussion
10 minutes group
discussion
10 minutes class
discussion
10 minutes group
discussion
15 minutes class
discussion
10 minutes group
discussion
10 minutes class
discussion
Class discussion on how
decisions were made
Lecture
Powerpoint explanation.
Blackboard focus questions for
“Understanding Students
Probabilistic Reasoning” in 3-5.
Due by Day 13.
Powerpoint explanation.
Lecture and questions
Activity posted on Blackboard
on activity
twice once with replacement and
once without replacement. Due
by 5pm Monday, June 20.
Powerpoint explanation.
Lecture and questions
Blackboard posting of activity.
Due by 5pm Monday, June 20.
Students have the
remaining time to work
on group statistics
project.
Day 13, Week 11, (Wednesday, June 22, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:20
Title
Preparation
Cubes from a Bag with
and without
replacement
Activity on Powerpoint.
Powerpoint student data.
5:20-5:50
Understanding
Students’ Probabilistic
Reasoning
5:50-6:15
Checking License Plates
and Morse Code
Students read article and
answered questions before class.
Have questions on Powerpoint
presentation.
Activity on Powerpoint.
Powerpoint student solutions.
6:30-6:35
Readings and focus
questions (individual
activity)
6:35-6:40
Counting Techniques
(group activity)
6:40-6:45
Find the Best
Arrangement
(individual activity)
Lottery (individual
graded activity)
6:45-6:50
6:50-7:00
Group statistics project
Powerpoint explanation.
Blackboard focus questions for
“Take two: Fair or Unfair?” and
“Responses to the Take Two: Fair
or Unfair? Problem” in K-2. Due
by Day 14.
Powerpoint explanation.
Activity posted on Blackboard.
Due by 5pm Monday, June 27.
Powerpoint explanation.
Activity posted on Blackboard.
Due by 5pm Monday, June 27.
Powerpoint explanation.
Blackboard posting of activity.
Due by Day 14.
Notes
20 minutes group
discussion
30 minutes class
discussion
15 minutes group
discussion
15 minutes class
discussion
15 minutes group
discussion
25 minutes class
discussion make
connection to
Fundamental Counting
principle
Lecture
Lecture and questions
on activity
Lecture and questions
Lecture and questions
Students have the
remaining time to work
on group statistics
project.
Day 14, Week 12, (Wednesday, June 29, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-5:25
Title
Preparation
Notes
Counting Techniques
Activity
Activity on Powerpoint.
Powerpoint student data.
20 minutes group
discussion
35 minutes class
discussion
10 minutes group
discussion
10 minutes class
discussion
15 minutes group
discussion
15 minutes class
discussion
Lecture
5:25-5:45
Take two: Fair or Unfair
and response
5:45-6:15
Find the Best
Arrangement
Students read article and
answered questions before class.
Have questions on Powerpoint
presentation.
Activity on Powerpoint.
Powerpoint student solutions.
6:15-6:20
Counting Techniques 2
(individual work)
Powerpoint explanation.
Posting on Blackboard
6:20-6:25
Powerpoint explanation.
Posting on Blackboard
Lecture
6:25-6:35
Pushing Buttons
(individual graded
homework)
Group projects
Powerpoint explanation.
Details on next week’s group
statistics presentations. Need
Powerpoint presentation by 5pm
on Monday, July 4
Lecture
6:35-7:00
Group statistics project
Students have the
remaining time to work
on group statistics
project.
Day 15, Week 13, (Wednesday, July 6, online) 4:30pm – 7pm
In advance, have breakout rooms created by the groups determined during the first week of class.
Synchronous
time
4:30-6:00
Title
Group presentations
6:00-6:30
Counting techniques 2
6:30-6:40
Pushing Buttons
6:40-6:45
Group evaluations
6:40-7:00
Final Exam
Preparation
Activity on Powerpoint.
Powerpoint student
presentations.
Activity on Powerpoint.
Powerpoint student solutions.
Notes
Maximum 15 minutes
per group presentation
15 minutes group
discussion
15 minutes class
discussion
lecture
Activity on Powerpoint.
Powerpoint student solutions.
0-5 points per group member.
lecture
Grade each group member and
justify the grade.
Powerpoint explanation of online lecture
exam. Emphasize that it is timed
and students are limited to 3.5
hours. Must be completed in
one sitting.
Due 12pm on Sunday, July 10
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