Math Models

 

2nd Period    8:50 – 9:37

5th Period    11:49 – 12:36

 

Textbook:  Mathematical Models with Applications

 

 

 

Course Outline:

 

Chapter 1:  A Review of Algebra Fundamentals

1-1     Mathematical Models

1-2     Real Numbers and Mathematical Operations

1-3     Solving Linear Equations

1-4     Formulas

1-5     Ratio and Proportions

1-6     Percents

1-7     Word Problem Strategies

 

Chapter 2:  Graphing

                2-1 Rectangular Coordinate Systems

                2-2 Graphing Linear Equations

                2-3 Slope

                2-4 Writing Equations of Lines

                2-5 Linear Inequalities

 

Chapter 3:  Functions

                3-1 Functions

                3-2 using Function Notation

                3-3 Linear Functions

                3-4 Direct and inverse Variation

 

Chapter 4:  Mathematical Models in Personal Finances

                4-1 Mathematical Models in the Business World

                4-2 Mathematical Models in the Personal Income

                4-3 Mathematical Models in the Banking

                4-4 Mathematical Models in the Consumer Credit

                4-5 Mathematical Models in the Purchasing an Automobile

                4-6 Mathematical Models in the Purchasing a Home

                4-7 Mathematical Models in the Insurance Options and Rates

                4-8 Mathematical Models in the Stocks, Mutual Funds, and Bonds

 

Chapter 5:  Systems of Equations

                5-1 Solving Systems by Graphing

                5-2 Solving Systems Algebraically

                5-3 Solving Systems with Cramer’s Rule

                5-4 Applications of Linear Systems

                5-5 Systems of Nonlinear Functions

 

Chapter 6:  Probability Models

                6-1 What is Probability

                6-2 Theoretical Probability

                6-3 Odds

                6-4 Counting Principle and Tree Diagrams

                6-5 Or and And Problems

                6-6 Permutations and Combinations

                6-7 Applied Probability Problems

 

Chapter 7:  Modeling with Statistics

                7-1 Introduction to Statistics

                7-2 Descriptive Statistics

                7-3 Organizing and Displaying Data

                7-4 Variation

                7-5 Normal Curve

                7-6 Scatter Diagrams and Linear Regression

 

Chapter 8:  Additional Applications of Algebraic Modeling

                8-1 Models and Patterns in Plane Geometry

                8-2 Models and Patterns in Right Triangles

                8-3 Models and Patterns in Art and Architecture:  Perspective and Symmetry

                8-4 Models and Patterns in Art, Architecture, and Nature:  Scale and Proportion

                8-5 Models and Patterns in Music

                8-6 Models and Patterns in Science and Technology