Integrated Math 2

Integrated Math 2 topics include recognizing and developing patterns using tables, graphs and equations. Mathematical modeling is stressed as a methodology for approaching the solution to problems. Students will explore operations on algebraic expressions, and apply mathematical properties to algebraic equations. Students will problem solve using equations, graphs and tables and investigate linear relationships, including comparing and contrasting options and decision-making using algebraic models. Reinforcement of topics from two-dimensional Geometry is integrated into this curriculum. This includes applications from the areas of area and perimeter, the Pythagorean Theorem and its applications, as well as geometric proportion. Finally, introductory instruction in the area of mathematical probability is provided to reinforce use of fractions and numerical modeling. Technology will be used to introduce and expand upon the areas of study listed above.

Learning Objectives: By the end of this class students should be able to:

• Manipulating algebraic expressions including rearranging and collecting terms, factoring, and applying properties of exponents
• Solving and understanding quadratic equations
• Understanding the concept of a function and use function notation, domain, and range.
• Interpreting functions given graphically, numerically, symbolically, and verbally.
• Modeling with functions using tables, functions, and understanding when the context allows for a model that is only an approximation.
• Writing, interpreting, and translating among various forms of quadratic equations.
• Using similarity to define and solve problems using right-triangle trigonometry.
• Performing arithmetic on complex numbers.
• Finding probability of independent, dependent and conditional events by experimentation, theoretical model, two-way tables, Venn diagrams and tree diagrams.