High School Algebra I
-
License Model
-
Number of Credits
1.0
-
Estimated Completion Time
32-36 weeks
Suggested Prerequisites
Grade 7 Mathematics Advanced or Pre-AlgebraDescription
You will delve into operations with polynomials and radicals, expanding your knowledge of exponents. Explore functions such as linear, quadratic, and exponential functions and their real-world applications. Solve quadratic equations, navigate systems of linear equations and inequalities, and build functions. Develop skills in representing and interpreting data.Module One: One-Variable Equations and Inequalities
-writing and solving one-variable equations
-writing and solving one-variable absolute value equations
-writing and solving one-variable inequalities
-writing and solving one-variable compound inequalities
-writing and solving one-variable absolute value inequalities (honors)
Module Two: Two-Variable Linear Functions
-using linear functions in slope-intercept, point-slope, and standard forms
-working with parallel and perpendicular lines
-creating scatter plots and lines of fit
-analyzing lines of fit using residuals (honors)
-transforming linear and absolute value functions
-identifying transformations of linear and absolute value functions (honors)
Module Three: Systems of Equations and Inequalities
-solving systems of equations by graphing, substitution, and elimination
-solving systems of linear inequalities
-applying systems
Module Four: Exponential Functions
-discovering key features of exponential functions
-graphing of exponential functions
-solving real-world interest problems
-writing equations for exponential functions
-comparing key features of exponential functions
Module Five: Polynomial Operations and Factoring
-using properties of exponents
-simplifying polynomials using addition, subtraction, and multiplication
-finding the greatest common factor and dividing monomials
-factoring trinomials where the leading coefficient is 1
-factoring polynomials using grouping
-factoring special cases
Module Six: Quadratic Equations
-using operations with radicals
-solving using square roots
-solving by factoring
-completing the square
-using the quadratic formula
Module Seven: Quadratic Functions
-graphing quadratic functions
-writing equations for quadratic functions
-translating and dilating quadratic functions
-determining function types
-evaluating quadratic functions (honors)
-combining functions (honors)
Module Eight: Displaying and Interpreting Data
-discovering numerical data
-using categorical univariate and bivariate data
-creating two-way frequency tables
-determining relative frequencies (honors)
-representing data
-estimating from a sample