Course title

Pre-requisite

Course description

Advanced Mathematical Decision Making (AMDM); also known in Texas as Advanced Quantitative
Reasoning (AQR); is a mathematics course for high school seniors that follows Algebra I; Geometry; and
Algebra II or Integrated Mathematics 1; 2; 3. It builds on and extends what students have learned and
covers a range of mathematics topics that are not part of most school mathematics programs.
The course does not remediate skills from the first three years of high school mathematics; but it
reinforces needed skills as students study new topics in relevant; engaging contexts. The course also helps
students develop college and career skills such as collaborating; conducting research; and making
presentations.
The original AMDM course and supporting resources (including teacher professional development and
online support) were designed by mathematics and education professionals facilitated by the Charles A.
Dana Center at the University of Texas at Austin; working in collaboration with the Texas Association of
Supervisors of Mathematics.

AMDM is the kind of course called for in the Common Core State Standards as an appropriate; rigorous
fourth-year option to follow either the three-year integrated/international high school mathematics
pathway or the pathway organized around traditional course titles (Algebra I; Geometry; and Algebra II).
AMDM is in use or planned for implementation as a fourth-year option in several states that have adopted
the Common Core State Standards.

Developed by the Dana Center at the University of Texas; Austin; this course "includes descriptive statistics; financial/economic literacy; and basic trigonometry; with a heavy emphasis on using algebraic; geometric; and statistical models for a range of situations and problems."

The Curriculum Includes:

Unit I: Analyzing Numerical Data
Using Ratios; Rates and Percents
Using Averages; Weighted Averages and Indices
Estimating Large Numbers
Using Check Digits to Validate Identification Numbers

Unit II: Probability
Determining Probabilities
Everyday Decisions Based on Probabilities
Expected Value

Unit III: Analyzing Statistical Studies
Case Study Analysis
Uni-variate Data
Bi-variate Data
Statistical Investigations
Statistical Analyses
Sources of Variability
Unit IV: Using Recursion in Models and Decision Making
Relationships in Data
Recursion in Exponential Growth and Decay
Recursion in Cyclical Models

Unit V: Using Functions in Models and Decision Making
Regression in Linear and Nonlinear Functions
Cyclical Functions
Step and Piece-wise Functions

Unit VI: Decision Making in Finance
Future Value of an Investment
Present Value of an Investment
Building an Investment
Using Credit

Unit VII: Networks and Graphs
Euler Circuits and Paths
Weighted Graphs
Hamiltonian Circuits and Paths
Kruskal’s Algorithm
Map Coloring and Scheduling

School country

School state

School city

School / district Address

School zip code

Requested competency code

Date submitted

Approved

Approved competency code

• MTHA
• 4 years of Math

Approved date

Online / Virtual