Algebra 1: The Foundations of Mathematics
This course is designed to provide a strong foundation in Algebra, equipping students with essential problem-solving skills and mathematical understanding.
This course is designed to provide a strong foundation in Algebra, equipping students with essential problem-solving skills and mathematical understanding. Through interactive lessons and practical exercises, students will master the core concepts of Algebra 1, preparing them for advanced math courses and real-world applications.
What You’ll Learn:
- Introduction to Algebra:
- Understanding variables, constants, expressions, and equations.
- Translating verbal expressions into algebraic equations.
- Operations with Real Numbers:
- Addition, subtraction, multiplication, and division of integers, fractions, and decimals.
- Properties of numbers: commutative, associative, distributive, and identity properties.
- Linear Equations and Inequalities:
- Solving one-step, two-step, and multi-step equations.
- Graphing linear equations on the coordinate plane.
- Understanding slope and intercepts, and writing equations in slope-intercept form.
- Solving and graphing linear inequalities.
- Functions:
- Introduction to functions and their notations.
- Identifying and evaluating functions.
- Understanding domain and range.
- Polynomials:
- Adding, subtracting, and multiplying polynomials.
- Factoring trinomials and special products.
- Solving quadratic equations by factoring.
- Systems of Equations and Inequalities:
- Solving systems of equations using graphing, substitution, and elimination methods.
- Solving systems of inequalities and graphing their solutions.
- Exponents and Exponential Functions:
- Laws of exponents and simplifying expressions.
- Exploring exponential growth and decay.
- Radicals and Rational Expressions:
- Simplifying square roots and higher-order roots.
- Performing operations with radical expressions.
- Simplifying rational expressions and solving rational equations.
Why Take This Course?
- Comprehensive Learning: Gain a deep understanding of Algebra, essential for success in higher mathematics.
- Practical Applications: Apply algebraic concepts to solve real-world problems.
- Confidence Building: Develop problem-solving skills and logical thinking for academic and personal success.
Course Outcome:
By the end of this course, students will have mastered Algebra 1 concepts, enabling them to approach advanced math courses with confidence. They will also be well-prepared for standardized tests and practical applications of algebra in everyday life.
Who Should Enroll:
- Middle and high school students beginning their Algebra journey.
- Students preparing for standardized tests that include Algebra content.
- Anyone looking to strengthen their mathematical foundation.