ALGEBRA 1, PART 2
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 221-2
In this second semester of Algebra 1, topics covered include exponents, radicals, and radical expressions, exponential functions, polynomials, quadratic functions and equations, and statistics and data analysis. These are all topics that are covered on typical standardized tests, such as the SAT and the ACT. Algebra 1 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 course, students gain a comprehension of the following:
- Exponents, radicals, and rational expressions, including simplifying and performing operations
- Exponential functions, including growth, decay, and sequences
- Polynomial operations, factoring techniques, and simplifying rational expressions
- Quadratic functions, including graphing and solving equations using multiple methods
- Comparing linear, quadratic, and exponential models
- Statistics and data analysis, including representing data and interpreting relationships
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
- Quantitative and Qualitative Data
- Measures of Center and Spread
- Representing Univariate Data
- Two-Way Frequency Tables
- Scatterplots and Linear Relationships
- Trend Lines and Interpreting Linear Models
- Line of Best Fit and Evaluating Linear Models
