## Advanced Functions and Modeling
Lesson Resources by Topic
Advanced Functions and Modeling provides students an in-depth study of
modeling and applying functions. Home, work, recreation, consumer issues,
public policy, and scientific investigations are just a few of the areas
from which applications should originate. Appropriate technology, from
manipulatives to calculators and application software, should be used
regularly for instruction and assessment.
These AFM lessons originate from a variety of sources. If the lesson
was created by NCSSM faculty, “NCSSM” will appear in the link.
The lessons developed by NCSSM faculty members include a student handout
and teacher notes, complete with solutions. Other lessons were created
by NCSSM faculty for the Algebra 2 website and others are lessons from
external sources such as the Shodor Foundation website or Hands On Activities
from Georgetown University. Materials from websites other than NCSSM will
not necessarily have the same format but may be very useful in teaching
the AFM course.
**Topics:**
**Technology Resources**
- Data
Flyer
- Function
Flyer
- Function Transfromations Student Handout (NCSSM)
**Modeling Activities**
- Each year there is a mathematical modeling competition held for
high school students. Information about the contest and problems
done in the past years are available at The
Mathematical Contest in Modeling.
- The Hands On Math project presents a number of applications of
high school mathematics to real world settings. Each problem has
both a student handout and teacher notes. Information and problems
are available at Download
Modules.
- Reading
Graphs
- The Midge Problem (NCSSM)
**Linear Functions** (includes data analysis)
- Linear Inequalities
with a Parallelogram (NCSSM)
- Linear Programming (NCSSM)
- Guess the Age (NCSSM)
- Introduction
to Linear Data Analysis (NCSSM)
- Price of Apples (NCSSM)
- Hurricane Fran (NCSSM)
- Modeling
Orbital Debris
- Understanding
the Least Squares Regression Line with a Visual Model
**Quadratic Functions** (includes data analysis)
- Pig Problem: Writing and Solving Quadratic Equations
- Football and
Braking Distance: Model Data with Quadratic Functions (NCSSM)
- Collecting and
Fitting Quadratic Data with the CBL (NCSSM)
- Modeling
Orbital Debris
**Polynomial Functions**
- Polynomials as
Models (NCSSM)
- The Box Problem (NCSSM)
**Exponential Functions**
- Caffeine
in Your Body
- Half-life and
Doubling Time (NCSSM)
- Purchasing
a New Car (NCSSM)
- Calculate
When the Oil Industry Will Dry Up
- Hurricane Fran (NCSSM)
- Graphing Exponential Functions
and
*e* (NCSSM)
- Voltage Problem (NCSSM)
- Modeling
Orbital Debris
- Modeling the Price of a Subway Token in New York City (NCSSM)
**Piecewise Functions**
- Piecewise Defined
Functions as Models (NCSSM)
- New Jersey Turnpike (NCSSM)
**Power Functions**
- Equations with
Radical Expressions (NCSSM)
- Data Gathering (NCSSM)
**Trigonometric Functions**
- Modeling
the Motion of a Swing (NCSSM)
- Modeling
with the Sine Function
- Trigonometry
Drills
- Ferris
Wheel Applet
- Modeling the Behavior of an Oscillating Spring (NCSSM)
**Logarithmic Functions**
- Radio Dial (NCSSM)
**Other Functions**
- Applications
of Rational Functions (NCSSM)
**Parametric Equations**
- Ring Toss (NCSSM)
- Parametric Equations (NCSSM)
- Modeling
the Motion of a Swing (NCSSM)
**Univariate Data**
- Determine the Best of Three Baseball Players (NCSSM)
- Comparing Temperature Data at Raleigh Durham Airport (NCSSM)
- How
Typical or Atypical is Your Community
- Stadium
Consultants
- Technology for Graphs of Univariate Data
- Bar
Graph
- Stem
and Leaf Plotter
- Histogram
- Pie
Chart
- The
Normal Distribution
- Plot
It!
**Probability**
- Probability
and Sports
- Ideas
that Lead to Probability
- Introduction
to the Concept of Probability
- Probability
and Geometry
- Conditional
Probability and Probability of Simultaneous Events
- Expected
Value
- Study
of Malaria and Sickle Cell Anemia
**Recursion**
- An
Introduction to Arithmetic and Geometric Sequences
- Pass The Candy Activity (NCSSM)
- Using
Algebra and Discrete Mathematics to Investigate Population Changes
in a Trout Pond
- Using Graphs, Equations, and Tables to Investigate the Elimination of
Medicine from the Body
- Lesson 1: Introduction to Recursion (NCSSM)
- Lesson 2: Applications of Recursion (NCSSM)
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