## Course title

MAT## Pre-requisite

Algebra II## 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‚Äôs Algorithm

Map Coloring and Scheduling

## School country

United States## School state

Arizona## School city

Phoenix## School / district Address

N/A## School zip code

85053## Requested competency code

Math## Date submitted

## Approved

Yes## Approved competency code

- MTHA
- 4 years of Math