Modeling with Mathematics: A Fourth Year Course
Second EditionNancy Crisler; Gary Simundza; Region IV Educational Service Center; COMAP©2012
With the emphasis the Common Core State Standards (CCSS) places on modeling, Modeling With Mathematics: A Fourth Year Course (Fourth Year 2e) addresses these modeling requirements while exploring how mathematics is ever-present in solving real-world problems. Intended for students fulfilling a fourth year math credit, the Fourth Year 2e program helps solidify students’ understanding by providing a different kind of learning experience. With Fourth Year 2e students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success on the forthcoming Common Core assessments.
Table of Contents
1. Mathematical Modeling
What is a Mathematical Model?
2. Direct Variation
How is Mathematics Related to Bungee Jumping?
3. Solving Equations and Inequalities
How Can We Care for Our Forests?
4. Measurement: Perimeter, Area and Volume
Why is Package Design Important?
5. Functions and Their Representations
How Can You Find the Value of an Unknown Quantity?
6. Describing Data
How Does the Census Help Us Understand Our Country?
7. Linear Models from Data
What Happened to Amelia Earhart?
8. Systems of Equations and Inequalities
How Are Business Decisions Made?
9. Symmetry and Transformations
How Do Archaeologists Use Mathematics to Study Past Civilizations?
10. Exponential Functions
Will the World Have Enough Water?
11. Quadratic Functions
Is it a Parabola?
12. Indirect Measurement
How Can You Determine the Height of a Model Rocket?
13. Periodic Functions and Sound
How Are Music and Repeated Motion Related?
What Are the Chances?
15. The Mathematics of Personal Finance
How Much Do I Need to Cover My Personal Expenses?
Appendices: Fractions, Decimals, Ratio, Proportions, Percents as Fractions and Decimals, Percent Calculations, Absolute Value, Order of Operations, Operations with Positive and Negative Numbers, Properties of Real Numbers, Scientific Notation, Solving One- and Two-step Equations, Simplifying Radicals, Mean, Median, Mode, and Range, Coordinate Plane, Square Roots