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High School Liberal Arts Mathematics I

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Suggested Prerequisites

Grade 8 Pre-Algebra

Description

This course is your gateway to solidifying the basics of mathematics beyond Algebra 1! Whether you take it before or after Algebra 1, it fits perfectly into any district’s course progression. Dive into a variety of topics including linear equations and inequalities, polynomial operations, data analysis, geometric constructions, symmetry, similarity, systems of equations, functions, quadratic and exponential equations, rational and radical equations, and graphing. Get ready to enhance your mathematical skills in a comprehensive and engaging way!

Module One: Expressions and Equations

-Interpret linear expressions

-Solve linear equations

-Solve linear inequalities

-Polynomial addition and subtraction

-Monomial multiplication

-Polynomial multiplication


Module Two: Data and Measurement

-Representing and interpreting data displays

-Compare and summarize data using data displays

-Analyze and interpret data using normal distribution

-Unit conversion

-Ensure accurate and precise measurement reporting


Module Three: Geometry

-Basics of geometry

-Geometric constructions

-Symmetry and transformations

-Similarity proofs

-Classify and solve problems using geometric shapes

-Rearrange and solve literal equations

-Use formulas to solve problems


Module Four: Relations and Functions

-Function representation

-Write, evaluate, and interpret functions using function notation

-Key features of linear functions

-Graph and analyze linear functions

-Graph and analyze piecewise functions

Module Five: Linear Functions

-Different forms of linear equations

-Write linear equations

-Graph linear equations

-Solve systems of linear equations by graphing

-Solve systems of linear equations algebraically

-Solve linear inequalities


Module Six: Quadratic Functions

-Quadratic equations in the real world

-Solve quadratic equations

-Interpret quadratic expressions

-Analyzeg quadratic functions

-Graph quadratic functions


Module Seven: Exponential Functions

-Model problems with exponential equations

-Interpret exponential expressions using real-world context

-Write exponential functions

-Analyze graphs and tables of exponential functions

-Graph exponential functions


Module Eight: Other Types of Equations

-Solve radical equations

-Identify and explain extraneous solutions in a radical equation

-Solve rational equations in one variable

-Explain extraneous solutions in a rational equation