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Course Duration
1 week, 3 days
What you will learn?
- Basic Algebraic Concepts: Understand and manipulate algebraic expressions and equations.
- Equations and Inequalities: Solve linear equations and inequalities, and apply these skills to various problems.
- Functions: Explore the concept of functions, including linear functions and their graphs.
- Polynomials: Learn to perform operations with polynomials and factor them.
- Systems of Equations: Solve systems of linear equations using various methods.
- Graphing: Graph linear equations and interpret their meaning in various contexts
Course Requirements
- Prerequisites: Basic arithmetic skills, including addition, subtraction, multiplication, and division.
- Materials: A notebook for notes and practice problems, a scientific calculator, and access to an algebra textbook or online resources.
- Commitment: Regular attendance, active participation in class, and completion of homework assignments.
Course Description
The Algebra 1 class provides an introduction to fundamental algebraic concepts and techniques. This course is designed to build a solid foundation in algebra, preparing students for higher-level math courses and real-world problem-solving. Topics include expressions, equations, functions, and graphing.Course Curriculum
- Introduction to Algebra
- Overview of algebraic concepts and terminology
- Operations with algebraic expressions (addition, subtraction, multiplication, division)
- Solving Linear Equations
- Techniques for solving single-variable linear equations
- Applications of linear equations in real-world problems
- Graphing Linear Equations
- The Cartesian coordinate system and plotting points
- Graphing linear equations and understanding slope and intercept
- Systems of Equations
- Solving systems of linear equations using graphing, substitution, and elimination methods
- Applications and problem-solving with systems of equations
- Inequalities
- Solving and graphing linear inequalities
- Understanding and applying compound inequalities
- Polynomials
- Definition and types of polynomials
- Polynomial operations (addition, subtraction, multiplication, division)
- Factoring polynomials and solving polynomial equations
- Functions
- Introduction to functions and their notation
- Exploring linear functions and their properties
- Understanding function graphs and interpretations
- Quadratic Functions
- Introduction to quadratic equations and functions
- Solving quadratic equations by factoring, completing the square, and using the quadratic formula
- Graphing quadratic functions and understanding their properties
- Final Review and Application
- Comprehensive review of all topics covered
- Practice with mixed problems and applications to solidify understanding