Advanced Mathematical Decision Making Syllabus
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The Course
AMDM is designed as a 12th-grade course to follow Algebra II, either as an alternative
to Precalculus or as an elective to accompany or follow Precalculus. It builds on,
reinforces, and extends what students have learned and covers a range of
mathematics topics that are not part of most school mathematics programs. The
course offers student activities in a range of applied contexts and helps students
develop college and career readiness skills such as collaborating, conducting research, and
making presentations.
Course Overview
AMDM addresses a diverse set of topics, some of which are essential for future success
and others that cover critical areas of mathematics not typically addressed in the high
school mathematics program. AMDM is organized as follows:
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Unit I: Analyzing Numerical Data (Semester 1)
Unit II: Probability (Semester 1)
Unit III: Statistical Studies (Semester 1)
Unit IV: Using Recursion in Models and Decision Making (Semester 2)
Unit V: Using Functions in Models and Decision Making (Semester 2)
Unit VI: Decision Making in Finance (Semester 2)
Unit VII: Networks and Graphs (Semester 2)
Setting Expectations
This class may be different from other math classes. I expect that you will behave in appropriate way,
including…
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You will participate.
You will work with other people.
You will share.
You will make written and oral presentations.
You will be on task.
Your work will be of the highest quality.
Grading System
Formative 25% : Activity sheets, vocabulary quizzes, class participation, homework &
unit assessments.
Summative 60% : Reports, presentations, class participation, homework & unit projects.
Final Exam / Midterm Exam 15%
Materials: calculator, 1 inch 3 ring binder with pocket folders, pen, pencil, lined and graph
paper.
Topic / Content
(DM.1) Developing college and career skills. The student develops and applies skills used in college and careers,
including reasoning, planning, and communication, to make decisions and solve problems in applied
situations involving numerical reasoning, probability, statistical analysis, finance, mathematical selection, and
modeling with algebra, geometry, trigonometry, and discrete mathematics.
(DM.2) Analyzing numerical data. The student analyzes numerical data in everyday situations using a variety of
quantitative measures and numerical processes.
(DM.3) Analyzing information using probability. The student analyzes and evaluates risk and return in the context
of everyday situations.
(DM.4) Critiquing applications of statistics. The student makes decisions based on understanding, analysis, and
critique of reported statistical information and statistical summaries.
(DM.5) Conducting statistical analyses. The student applies statistical methods to design and conduct a study that
addresses one or more particular questions.
(DM.6) Communicating statistical information. The student communicates the results of reported and studentgenerated
statistical studies.
(DM.7) Mathematical decision making in ranking and selection. The student analyzes the mathematics behind
various methods of ranking and selection.
(DM.8) Modeling data. The student models data, makes predictions, and judges the validity of a prediction.
(DM.9) Modeling change and relationships. The student uses mathematical models to represent, analyze, and solve
problems involving change.
(DM.10) Mathematical decision making in finance. The student creates and analyzes mathematical models to make
decisions related to earning, investing, spending, and borrowing money.
(DM.11) Network modeling for decision making. The student uses a variety of network models represented
graphically to organize data in quantitative situations, make informed decisions, and solve problems.
(DM.12) Modeling with geometric tools. The student uses a variety of tools and methods to represent and solve
problems involving static and dynamic situations.
August 2011
Sunday
Monday
1
Tuesday
2
Wednesday
3
1st day
Thursday
4
Unit 1a
Friday
5
Saturda
6
Student Activity
Sheet (SAS) 2
(4wks)
Student Activity
Sheet (SAS) 1
8
9
10
11Unit 1
12
13
SAS 3
Workday—Fermi
Questions
Presentations—
Fermi Questions
SAS 4,
HW: pg. 9
Questions 1–4
Workday—Ratios in
the Media
Extensions
Page 9 (6-9)
16
17
18
19Unit 1c
20
15
Presentations—
Ratios in the Media
Page 9 (6-9)
(SAS) 5
Page 12-14 (1-4)
(SAS )5
Page 15 (5-7)
SAS 5
Page 16 (8-9)
Choice of Student
Activity Sheet 6 or
Student Activity
Sheet 7
22
23
24
25
26Unit 1d
Choice of SAS 6 or
SAS 7
Choice of SAS
8,9,or 10.
Note: computer lab
needed for Activity
10
Continued from
yesterday.
SAS 11
Page 30 (1-3)
Choice of SAS
12, or 13.
HW: SAS 6 OR
SAS 7
HW: SAS 8 OR 9
29 Research
30
31
day: Choose a
Complete reports.
Follow rubric.
Reports and
presentations Due
topic from SAS 12
#9 or 13 #9 (pick
one topic).
27
September 2011
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
1 Unit 2a
2
(5wks)
SAS 1
Saturda
3
SAS 1
5 Labor Day 6
Introduce the
pumpkin
scenario.
SAS 2,
7 Early Release 8
9
SAS 2,
Questions 8–14.
SAS 3
SAS 3
10
Questions 1–7.
12
13 Unit 2b
14
15
16
SAS 4
SAS 5
SAS 5
SAS 5
Choice of
17
SAS 6 or 7
HW: SAS 6 or 7
19 Fall Break 20 Fall Break 21 Fall Break 22 Fall Break 23 Fall Break 24
26
27
28 Unit 2c
29
30
Choice of SAS
SAS 9 (1-7)
SAS 9
Extensions
SAS 10,
Questions 1–7
SAS 10,
Questions 8–12
6 or 7 continued
October 2011
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturda
1
3
4
Carnival Project
Carnival Project
Workday for
design of game
or research
Workday for design
of game or
research
10 Parent
11 Parent
Conferences
SAS 1,
Questions 7–11
5 Early
Release
Carnival Project
6
Carnival Project
7
Unit 3a
Presentation of
games
SAS 1,
Questions 1–6
12 Parent
13 Parent
14 Parent
Conferences
SAS 1,
Questions 12–16
Conferences
SAS 1,
Questions 17–19
Conferences
SAS 2
Conferences
SAS 3
17
18
19
20 Extensions 21 Unit 3 b
SAS 4
SAS 4
Extensions 12-15
from SAS 4
12-15 from
SAS 4
HW: Create a
null and an
alternative
hypothesis for
your study.
Presentation of
games
15
HW: Create the
research
question for your
study.
HW: Explain how
you met the
ethical principles
and guidelines to
protect your
participants for
your study.
22
SAS 5,
Questions 1–11
HW: Answer
questions in the
rubric about your
study
(Observational
study /
experimental
study section).
24
25
26
27
28
SAS 5,
Questions 12–17
SAS 6,
Questions 1–10
Matching Game
SAS 6,
Questions 15–19
SAS 7:
Questions 1–8
SAS 6,
Questions 11–14
8
29
31 SAS 8
November 2011
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
1
Teacher
Workday
2 Unit 3c
3
4
SAS 9,
Questions 1–5
SAS 9,
Questions 6–10
SAS 10
7
8
9
10
11
Research project
phase 1
Research project
phase 2
Research project
phase 3
Research
preparation
Saturda
5
12
Presentations
day / work day
14
15
Unit 3
16
Unit 3
17
Unit 3
18
Unit 3
Review Activity
Review Activity
Assessment
Assessment
Data set 1-2
Data set 3-4
Data Set 8-9
Data Set 8-9
Page 39
Page 40
23
24
25
Thanksgiving Thanksgiving
Break
Break
Thanksgiving
Break
Thanksgiving
Break
Thanksgiving
Break
28
29
30
Flexible Days
Flexible Days
Flexible Days
Presentations
21
22
19
26
December 2011
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
1
2
Flexible Days
Flexible Days
5
6
7Early Release
8
9
Flexible Days
Flexible Days
Flexible Days
Flexible Days
Flexible Days
12
13
14
15
16
Midterm exam
review
Midterm exam
review
Midterm Exam
Midterm Exam
19
20
21
22
23
Holiday Break
Holiday Break
Holiday Break
Holiday Break
Holiday Break
26
27
28
29
30
Holiday Break
Holiday Break
Holiday Break
Holiday Break
Holiday Break
Saturda
3
10
17
Midterm Exam
24
31
◄ Dec 2011
Sun
1
Mon
2
Teacher work day.
Tue
3
Unit 4 a
9
SAS 2,
Question 10
(presentation)
Wed
Thu
Fri
4
5
6
SAS 1,
Questions
7–14
SAS 2,
Questions
1–6
SAS 2,
Questions
7–10
10
11
12
Unit 4b
SAS 3,
Questions
5–13
SAS 4
13
Unit 4 c
SAS 1,
Questions
1–6
8
Feb 2012 ►
~ January 2012 ~
SAS 3,
Questions
1–4
Sat
7
14
SAS 5,
Questions
1–8
15
22
16
17
18
19
20
MLK DAY
SAS 5,
Questions
9–15
SAS 5,
Questions
16–21
SAS 6,
Questions
1–8
SAS 6,
Questions
9-10
23
24
25
26
Research/preparation Presentations Presentations Unit 4 d
Use rubric
from SAS 5 (#21) or Use rubric
SAS 7,
SAS 6 (#10)
Questions
page IV -79 page IV -79
1–7
29
30
Unit 5 vocabulary
activity
31
Unit 5
Vocabulary
Quiz
Notes:
27
Unit 5 a
SAS 1
21
28
◄ Jan 2012
Sun
5
12
19
26
Mar 2012 ►
~ February 2012 ~
Mon
Tue
Wed
Thu
Fri
1
2
SAS 2
SAS 3,
SAS 3,
Questions 1–9 Questions
10-14
3
8
6
Unit 5 b
7
9
10
SAS 4, Parts C SAS 5,
Questions
SAS 4, Parts A and D
1–18
(optional)
and B
SAS 5,
Extension
Reflection:
Singapore
Flyer
13
14
15
16
17
SAS 6 or
Complete
SAS 7,
SAS 6 or
Questions 1–8 SAS 7
Unit 5 c
SAS 8,
Questions
13–15
SAS 9,
Questions
1–15
20
21
22
23
24
Winter
Break
Winter
Break
Winter
Break
Winter
Break
Winter
Break
27
28
29
Notes:
SAS 9,
Questions
16–19
SAS 10, Part A SAS 10, Part B
SAS 8,
Questions
1–12
Sat
4
11
18
25
◄ Feb 2012
Sun
4
11
Apr 2012 ►
~ March 2012 ~
Mon
5
Tue
6
Wed
7
SAS 11,
Questions
14–21
SAS 1,
Unit 6a
Questions
SAS 1,
Questions 1–6 7–11
12
13
SAS 2
SAS 3,
SAS 3,
Questions 1–6 Questions
7–12
14
Thu
Fri
1
2
SAS 10
Extensions
SAS 11,
Questions 1–
13
8
9
SAS 1,
Questions
12–14
HOLIDAY
15
16
Sat
3
10
17
Research and Presentations
SAS 3 #12
preparation
SAS 3 #12
18
19
Parent
conferences
20
Parent
conferences
21
Parent
conferences
22
Parent
conferences
23
Parent
conferences
24
Presentations Presentations Unit 6 b
SAS 4,
SAS 4,
SAS 3 #12
SAS 3 #12
Questions 6–9 Extension
SAS 4,
research
Questions 1–5
25
26
27
SAS 5,
SAS 5, #10
Questions 1-9 Extension
research
28
29
30
Student
presentations
Student
presentations
Unit 6 c
Rubric on
page VI-56
SAS 6,
Questions 1–9
31
◄ Mar 2012
May 2012 ►
~ April 2012 ~
Sun
Mon
Tue
Wed
Thu
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
22
Spring Break Spring Break Spring Break Spring Break Spring Break
SAS 7,
Research and Presentations Presentations
Questions 1–7 preparation
Unit 6 d
16
20
17
18
SAS 9,
Research and SAS 10,
SAS 10,
Questions 1–4 preparation for Questions 1–5 Questions 6–
Extensions
10
Research and
preparation for
Extensions
23
24
Presentations Presentations
25
26
27
Unit 7 a
SAS 1,
Questions
SAS 3
SAS 1,
Questions 1–7
29
19
SAS 8
30
SAS 4
Notes:
8–11
21
28
◄ Apr 2012
Sun
Mon
Tue
1
Extension
preparation
and
presentations
6
13
20
27
Jun 2012 ►
~ May 2012 ~
Wed
Thu
2
Early
release
3
4
Extension
preparation
and
presentations
Unit 7b
SAS 7
SAS 6
7
8
9
SAS 8
SAS 9
SAS 10,
SAS 10,
Questions 1–7 Questions
8–13
14
15
SAS 11,
Questions
15–21
SAS 12,
SAS 12,
Questions 1–4 Questions 5
and 6
16
21
22
Presentations Final Exam
Review
23
28
30
29
Fri
Final
Exams
10
11
Unit 7 d
Sat
5
12
SAS 11,
Questions
1–14
17
18
Research on
extensions
Research on
extensions
19
Presentations Presentations
24
Final Exams
25
Last Day
Final Exams
31
Notes:
26