Course title

Pre-requisite

Course description

Broadening and extending the mathematical knowledge and skills acquired in Algebra I, the primary purpose of Mathematical Models with Applications is to use mathematics as a tool to model real-world phenomena students may encounter daily, such as finance and exponential models. Engaging lessons cover financial topics, including growth, smart money, saving, and installment loan models. Prior mathematical knowledge is expanded and new knowledge and techniques are developed through real-world application of useful mathematical concepts. Course Objectives: Model real-world situations using the various form of linear and quadratic functions, Graph trigonometric functions and identify their properties, Use exponential functions to model and solve mathematical and real-world problems such as population growth and compound interest, Understand the fundamentals of personal finance and financial planning, Apply counting methods to calculate binomial probabilities, Interpret and represent data in various formats and use it to model and make predictions, Translate between the properties of geometric shapes in the plane to three-dimensional figures. Scope and Sequence: Problem Solving Models: Understanding Problems Problem-Solving Patterns Expressions and Formulas Proportional Reasoning Unit Analysis Functions and Graphs Understanding Functions Domain and Range Mathematical Modeling Solving an Equation Write and Solve Equations Reading Graphs Graphical and Statistical Models Data Analysis Misleading Graphs Bar and Circle Graphs Scatterplots Organizing Data Data Distribution Variability Probablility and Counting Methods Probability Sample Space Permutations and Combinations Binomial Probability Function Models Linear Equations Average Rate of Change Slope Slope-Intercept Form Write Linear Equations using Slope & y-Intercepts Write Linear Equations using Two Points Systems of Equations Break-Even Points Inequalities and Quadratics Linear Inequalities Quadratic Functions Quadratic Equations Parabolas Solving Quadratic Equations The Quadratic Formula Quadratic Regression Models Financial Models Personal Finance Personal Finances Interest Annuities Amortization Future Planning Finance Installment Loans Mortgages Life Insurance Stocks and Bonds Exponential, Trigonmetric, and Variation Models Exponential Functions Growth and Decay Factors Conservative Growth and Decay Factors Exponential Functions Use Exponential Functions Population Growth Equations of Exponential Functions Trigonometric Functions Right Triangles Angle Relationships Inverse Functions The Sine Function The Unit Circle Degree and Radian Measures Amplitude and Period Wavelength and Frequency Variations of Functions Direct Variation Inverse Variation Constant Variation Geometric Models Plane Figures Perimeter Perimeter of Composite Figures Area Area and Perimeter in Context Tessellations Similar Triangles Relations in Figures Three-Dimensional Figures Surface Area Volume of Prisms and Cylinders Volume of Spheres and Cones Scale Drawings

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School city

High school

School / district Address

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Requested competency code

Date submitted

Approved

Approved competency code

• MTH2
• 4 years of Math

Approved date

Expected grade level

Online / Virtual