INTEGRATED MATH 2, PART 1
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 232-1
Integrated Math 2, Part 1 is the first semester of Integrated Math 2 and extends students’ algebraic skills through exponents, radicals, rational expressions, exponential functions, polynomials, quadratic functions, and advanced systems. Students simplify and operate with algebraic expressions, analyze exponential growth and decay, factor polynomials, graph and solve quadratic equations, and compare linear, quadratic, and exponential models. The course concludes with systems in three variables and an introduction to matrices, determinants, inverses, and matrix methods for solving systems. 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 apply exponent rules and simplify expressions involving positive, zero, negative, and rational exponents.
- How to simplify radicals and perform operations with radical and rational expressions.
- How to write, graph, and analyze exponential growth and decay models.
- How to compare linear and exponential relationships and analyze arithmetic and geometric sequences.
- How to perform operations with polynomials and factor polynomial expressions.
- How to graph and solve quadratic functions and equations using multiple methods.
- How to compare linear, quadratic, and exponential models.
- How to solve systems of equations in three variables.
- How to perform matrix operations and matrix multiplication.
- How to calculate determinants, find inverse matrices, and use matrices to solve systems of equations.
TOPICS COVERED
This course covers the following topics:
- Multiplication Properties of Exponents
- Division Properties of Exponents
- Zero and Negative Exponents
- Perfect Squares and Cubes
- Simplifying Radical Expressions
- Rational and Radical Multiplication and Division
- Rational and Radical Addition and Subtraction
- Rates of Change in Exponential Functions
- Writing and Graphing Exponential Models
- Exponential Growth
- Exponential Decay
- Linear vs Exponential
- Arithmetic Sequences
- Geometric Sequences
- Adding and Subtracting Polynomials
- Multiplying Polynomials
- Special Products of Binomials
- Factoring by Greatest Common Factor (GCF)
- Factoring Quadratic Trinomials
- Factoring Special Products
- Dividing Rational Polynomials
- Introduction to Quadratic Functions and Equations
- Graphing Quadratic Functions
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Using Square Roots
- Solving Quadratic Equations by Completing the Square
- The Quadratic Formula
- The Discriminant
- Systems of Linear-Quadratic Equations
- Comparing Linear, Quadratic, and Exponential Models
- Systems of Equations in Three Variables
- Matrix Operations
- Matrix Multiplication
- Determinants
- Cramer’s Rule
- Inverses of 2×2 Matrices
- Solving Systems Using Matrices
