Become an Algebra Master
This course offers comprehensive training in Algebra through a combination of video lessons, text notes, quizzes, and workbooks. It is structured into multiple sections that cover various algebraic topics, such as operations, equations, polynomials, functions, and more advanced concepts like logarithmic functions. Each section provides videos where problems are solved and explained, notes that summarize key concepts, and quizzes to test comprehension. For further practice, each section also includes workbooks with additional problems to reinforce learning. The course is designed to make complex mathematical topics accessible and understandable.
Skills for certificate:
Algebra
Mathematics
Problem Solving
Critical Thinking
Become an Algebra Master
UC-ce8f7b45-5864-438c-870c-43061c80386c
Description
This course offers comprehensive training in Algebra through a combination of video lessons, text notes, quizzes, and workbooks. It is structured into multiple sections that cover various algebraic topics, such as operations, equations, polynomials, functions, and more advanced concepts like logarithmic functions. Each section provides videos where problems are solved and explained, notes that summarize key concepts, and quizzes to test comprehension. For further practice, each section also includes workbooks with additional problems to reinforce learning. The course is designed to make complex mathematical topics accessible and understandable.
Learning Objectives
- Understanding the basic concepts of algebra including operations, variables, and equations.
- Practicing evaluating expressions and balancing simple equations.
- Applying inverse operations to solve algebraic problems.
- Identifying different properties of arithmetic such as associative, commutative, and transitive properties.
- Simplifying expressions by adding, subtracting, multiplying, and dividing like terms.
- Mastering the Distributive Property and its application to algebraic expressions, including those with fractions.
- Executing the correct order of operations using PEMDAS rules.
- Introducing the structure and function of polynomials.
- Performing addition, subtraction, multiplication, and division of polynomials.
- Handling polynomials involving multiple variables through multiplication and division techniques.
- Learning basic to advanced factoring techniques including the greatest common factor and the difference of squares.
- Solving quadratic polynomials using methods like completing the square and the quadratic formula.
- Applying the Zero Theorem to find roots of polynomials.
- Exploring the fundamentals of functions and their graphical representations.
- Determining the slope and various forms of a line, including point-slope and slope-intercept forms.
- Graphing linear equations and understanding function notation.
- Identifying domain and range of functions and testing functions using the Vertical Line Test.
- Combining and multiplying functions to see interactions between different functions.
- Classifying functions as even, odd, or neither based on their graphical properties.
- Investigating inequalities, including graphing on number lines and coordinate planes.
- Solving absolute value equations and inequalities with precision.
- Addressing systems of equations using substitution, elimination, and other methods.
- Analyzing systems of linear inequalities for solutions in various contexts.
- Delineating rational functions and their operations such as addition, subtraction, multiplication, and division.
- Understanding exponential and logarithmic functions, including their properties and how to graph them.
- Solving more complex systems involving nonlinear and multivariable equations.
- Applying algebra to real-world problems including word problems and equation modeling.
- Deconstructing and constructing composite functions and exploring their domains.
- Evaluating and graphing transformations of functions and their inverses.