Prerequisite: Algebra 2
HALF-CREDIT OPTIONS AVAILABLE: MATH MODELS A, MATH MODELS B
In Mathematical Models with Applications, you will learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. You will use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Along the way, you will select from a variety of tools including manipulatives, technology, and data collection devices. This course takes an integrated approach to mathematics as you further your skills in the disciplines of algebra, geometry, trigonometry, and probability and statistics.
COURSE GOALS
By the end of this course, you will be able to do the following:
• Analyze the various parts of an earnings statements or paycheck.
• Describe income tax and other types of taxes, including sales tax on purchases.
• Identify financial considerations when buying a house or renting an apartment.
• Calculate the total monthly cost of owning a home.
• Identify financial considerations when buying or leasing a car.
• Explore different types of personal investments.
• Identify various terms associated with borrowing money.
• Learn about the difference between simple and compound interest.
• Describe the importance of securing different types of insurance.
• Plot graphs and recognize relationships in data.
• Apply Newton’s second law of motion to solve real-world problems.
• Interpret quadratic relationships, graph linear functions to show end behavior, and use
exponential equations and inequalities to solve problems.
• Describe transformations, rotations, and reflections that can be carried out on a rectangle,
parallelogram, trapezoid, or regular polygon.
• Use similarity and congruence to solve problems and prove relationships in geometric figures.
• Use trigonometric ratios, the Pythagorean Theorem, and the Laws of Sine and Cosine to solve
problems involving geometric models.
• Prove relationships in geometric figures using congruence and similarity criteria for triangles.
• Use the universal wave equation to solve problems involving speed, frequency, and
wavelength.