# Advanced Algebra I

#### Course Features

#### Course Details

Course Overview

Acellus Algebra I – Advanced teaches students the basic principles, rules, and operations of working with expressions containing variables. It is taught by award-winning Acellus Master Teacher, Patrick Mara.
Acellus Algebra I - Advanced is A-G Approved through the University of California.
### Sample Lesson - Absolute Value Functions

### Course Objectives & Student Learning Outcomes

Upon successful completion of Acellus Algebra I – Advanced, students will have a strong foundation in basic Algebra skills upon which they can build as they delve into more advanced mathematical concepts in future years. Students will know how to solve equations and inequalities and systems of the same. They will be familiar with various types of functions — including linear, quadratic, exponential, and rational functions — and use them to model real world situations. They understand and can identify linear and exponential patterns. Students know what polynomials are and how to factor them. They learn how to model using quadratic equations and have experience working with radical and rational expressions and equations. Students will be familiar with frequency tables, histograms, and box and whisker plots, and will know how to conduct a meaningful survey. They will also know how to calculate permutation and combinations, theoretical and experimental probability, as well as the probability of compound events.This course was developed by the International Academy of Science. Learn More

**Scope and Sequence**

**Unit 1 – Foundations of Algebra**This unit covers variables and expressions, order of operations, real numbers, properties, adding, subtracting, multiplying and dividing, and the distributive property. It also introduces equations and two-variable equations.

**Unit 2 – Equations**This unit discusses one, two, and multi-step equations, equations with variables on both sides, and literal equations, ratios and rates, conversions, similar figures, percents, and percent change.

**Unit 3 – Inequalities**This unit covers inequalities, addition, subtraction, multiplication and division with inequalities, sets, interval notation, compound inequalities, and absolute value equations and inequalities.

**Unit 4 – Graphing**This unit discusses two-variable graphs, patterns, non-linear graphs, graphing a function, writing a rule, relations and functions, and arithmetic sequences.

**Unit 5 – Functions**This unit covers rate of change, direct variation, point-slope, slope-intercept, standard form, parallel and perpendicular, scatter plots and trend line, and absolute value functions.

**Unit 6 – Systems**This unit discusses solving systems by graphing, and also covers substitution, elimination, applications of systems, linear inequalities, and systems of inequalities.

**Unit 7 – Exponents**This unit discusses zero and negative exponents, multiplying powers, multiplication and division properties, rational exponents, exponential functions, exponential growth and decay, and geometric sequences.

**Unit 8 – Polynomials**This unit discusses adding and subtracting polynomials, multiplying and factoring, multiplying binomials, special products, factoring a trinomial, factoring by grouping, and special cases.

**Unit 9 – Quadratic Functions**This unit covers quadratic graphs, functions and equations; solving by factoring, completing the square, the quadratic formula, math modeling, and systems of linear and quadratic equations.

**Unit 10 – Radicals**This unit discusses the Pythagorean Theorem, simplifying radicals, operations with radicals, solving radical equations, graphing square root functions, and trig ratios.

**Unit 11 – Rational Expressions**This unit covers simplifying, adding, subtracting, multiplying and dividing rational expressions, dividing polynomials, solving rational equations, inverse variation, and graphing rational functions.

**Unit 12 – Probability and Statistics**This unit covers matrices, frequency and histograms, statistical measures, box and whisker plots, samples and surveys, permutations, combinations, theoretical and experimental probability, and compound events.