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High School Algebra I

Suggested Prerequisites

Grade 7 Mathematics Advanced or Pre-Algebra

Description

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

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