INTEGRATED MATH 3, PART 1
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 233-1
Integrated Math 3, Part 1 is the first semester of Integrated Math 3 and integrates geometric measurement with advanced algebra and functions. Students begin by analyzing two- and three-dimensional figures, including surface area, volume, cross sections, and similar solids. Students then deepen their work with linear equations, inequalities, systems, and functions before studying quadratic and polynomial functions, complex numbers, regression, factoring, zeros, roots, and the Binomial Theorem. Integrated Math 2 is approved by the University of California A-G as mathematics (category C).
Upon completion of this course, the student is awarded 5 credits. Each credit corresponds to 15 hours of study. Of course, some students work more quickly than others, and some can devote more hours to study, so some students are able to complete the course at an accelerated rate.
LEARNING OBJECTIVES
In this module, students gain a comprehension of the following:
- How to calculate area, surface area, and volume and analyze two- and three-dimensional figures.
- How scale factor affects area, surface area, and volume in similar solids.
- How to solve and graph linear equations, inequalities, systems, and absolute value relationships.
- How to apply systems of inequalities and linear programming to optimization problems.
- How to analyze functions using domain, range, continuity, intercepts, extrema, end behavior, and other key features.
- How to transform parent functions and work with piecewise, composite, even, odd, and inverse functions.
- How to graph and solve quadratic equations and inequalities using multiple methods.
- How to perform operations with complex numbers and use quadratic regression.
- How to perform operations with, graph, factor, and solve polynomial functions.
- How to determine zeros and roots of polynomial functions and apply Pascal’s Triangle and the Binomial Theorem.
TOPICS COVERED
This course covers the following topics:
- Area and Perimeter of Polygons
- Solids, Nets, and Cross Sections
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Surface Area and Volume of Spheres
- Composite Solids
- Similar Solids and Effects of Changing Dimensions
- Solving Equations and Inequalities
- Solving Absolute Value Equations and Inequalities
- Slope and Writing Linear Equations
- Graphing Linear Equations and Inequalities
- Solving Systems of Equations Graphically
- Solving Systems of Equations Algebraically
- Solving Systems of Inequalities
- Linear Programming
- Functions and Continuity
- Features of Functions
- Sketching Graphs of Functions
- Piecewise Functions
- Parent Functions and Transformations
- Operations on Functions
- Even and Odd Functions
- Inverse Relations and Functions
- Quadratic Functions
- Solving Quadratic Equations by Graphing
- Complex Numbers
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Completing the Square
- The Quadratic Formula and the Discriminant
- Curve Fitting with Quadratic Models
- Quadratic Inequalities
- Linear-Quadratic Systems
- Operations with Polynomials
- Graphing Polynomial Functions
- Factoring Polynomials
- Dividing Polynomials
- Solving Polynomial Equations by Graphing
- Solving Polynomial Equations Algebraically
- Zeros and Roots of Polynomial Functions
- Pascal’s Triangle and the Binomial Theorem
