ALGEBRA 1, PART 1
Price: $125 | Credits: One Semester | Dept: Math | Course ID# 221-1
This course is designed to be the first semester of Algebra 1. Part 1 covers all of the concepts crucial to success in subsequent classes, including the foundations of Algebra, equations, inequalities, linear and non-linear functions, as well as systems of equations and inequalities. The content from this course is seen on standardized tests like 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 module, students gain a comprehension of the following:
- Properties of Real Numbers
- Order of Operations
- Simplifying Expressions
- Evaluating Algebraic Expressions
- Distributive Property
- Descriptive Modeling and Accuracy
- Solving One- and Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on Each Side
- Solving Proportions
- Literal Equations
- Solving Absolute Value Equations
- Graphing and Writing Inequalities
- Solving Inequalities
- Solving Absolute Value Inequalities
- Identifying Functions
- Evaluating Functions
- Writing Function Rules
- Graphing Functions
- Step Functions
- Features of Functions
- Transformations of Functions
- Rate of Change and Slope
- Slope-Intercept Form
- Point-Slope Form and Standard Form
- Direct and Inverse Variation
- Linear Word Problems
- Graphing Linear Inequalities
- Piecewise Functions
- Absolute Value Functions
- Inverse of a Linear Function
- Solving Systems by Graphing
- Solving Systems Using Substitution
- Solving Systems Using Elimination
- Solving Special Systems
- Applying Systems
- Solving Systems of Linear Inequalities
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TOPICS COVERED
This course covers the following topics:
- Variables & Expressions
- Adding and Subtracting Real Numbers
- Multiplying and Dividing Real Numbers
- Powers and Exponents
- Roots and Irrational Numbers
- Properties of Real Numbers
- Simplifying Expressions
- Solving One Step Equations
- Solving Two Step Equations
- Solving Multi- Step Equations
- Solving Equations with Variables on Both Sides
- Solving Proportions
- Solving Literal Equations for a variable
- Solving Absolute-Value Equations
- Graphing and Writing Inequalities
- Solving Inequalities by Adding or Subtracting
- Solving Inequalities by Multiplying or Dividing
- Solving Two Step and Multi-Step Inequalities
- Solving Inequalities with Variables on Both Sides
- Solving Compound Inequalities
- Solving Absolute-Values Inequalities
- Relations and Functions
- Writing Functions
- Scatter Plots and Trend Lines
- Arithmetic Sequence
- Linear Equations and Functions
- Using Intercepts
- Slope
- Direct Variation
- Slope- Intercept Form
- Point- Slope Form
- Slopes of Parallel and Perpendicular Lines
- Solving Systems by Graphing
- Solving Systems by Substitution
- Solving Systems by Elimination
- Solving Special Systems
- Applying Systems
- Solving Linear Inequalities
- Solving Systems of Linear Inequalities
