# Algebra I

#### Course Features

#### Course Details

Course Overview

Acellus Algebra I is a course based on the NCTM standards. This course is taught in an advanced manner for older and more capable students. It is recommended that students take FUNdamental Math prior to taking this course.

It is taught by award-winning Acellus Master Teacher, Patrick Mara.

This course was developed by the International Academy of Science.

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**Scope and Sequence**

**Unit 1 – Foundations of Algebra**

This unit covers verbal and algebraic expressions and algebraic patterns, order of operations, open sentences, basic properties of algebra, arithmetic with integers, and absolute value.

**Unit 2 – Rational and Irrational numbers.**

This unit discusses comparing, ordering, adding, subtracting, multiplying and dividing rational numbers, as well as square roots, squares, and irrationals.

**Unit 3 – Equations and Their Applications**

This unit covers one-step equations using addition, subtraction, multiplication, and division, as well as properties of equality, two-step equations, complement, supplement, number, perimeter, and angle problems, clearing fractions and decimals, consecutive integers, and multi-step and literal equations.

**Unit 4 – More Applications with Equations**

This unit discusses solving proportions. It also discusses similar triangles, percents, simple interest, percent of increase or decrease, probability and odds, mixtures, and uniform motion.

**Unit 5 – Foundations of Graphing**

This unit covers ordered pairs and relations, graphing linear equations, writing equations from relations, definitions of and calculating slope, and point-slope and slope-intercept formulas.

**Unit 6 – More Graphing Concepts**

This unit presents shortcuts to graphing, parallel and perpendicular slopes and equations of them, midpoints, graphing absolute value, parabolas, and solving equations with a calculator.

**Unit 7 – Inequalities**

This unit discusses solving inequalities using addition, subtraction, multiplication, and division, as well as multi-step inequalities and graphing inequalities.

**Unit 8 – Systems of Equations**

This unit discusses solving systems of equations by graphing, substitution, addition, and multiplications. It also discusses graphing systems of inequalities.

**Unit 9 – Polynomials**

This unit covers polynomials and uses algebra tiles to demonstrate them, as well as to demonstrate adding, subtracting, multiplying, and dividing polynomials. It also discusses multiplying polynomials by monomials.

**Unit 10 – More Operations with Polynomials**

This unit discusses multiplying polynomials, special binomial products, factoring polynomials, binomial factors, and using FOIL for multiplying binomials and factoring. It also discusses using the zero product property to solve equations.

**Unit 11 – Rational Expressions**

This unit covers simplifying, adding, subtracting, multiplying and dividing rational expressions, and dividing a polynomial by a binomial.

**Unit 12 – Radical Expressions and Equations**

This unit covers simplifying square roots and radical expressions, and rationalizing denominators. It also covers radical expressions and radical equeations.

**Unit 13 – Distance Formula and Quadratic Equations**

This unit explains the distance formula, quadratic equations, completing the square, the quadratic formula, and rules of exponents.

**Unit 14 – Bonus Lessons**

This unit includes converting units for derived quantities, adding and subtracting quantities in and averaging data with different units, as well as conversion between measurement systems, piece-wise linear and exponential function, and modeling using exponential functions. Also covered are rate of change, linear and non-linear recursive formulas, modeling, probability and its complement, experimental, empirical, and conditional probability, the two-way table, th law of large numbers, combinations, Pascal’s triangle, the rule of four, variations, analyzing situations including system so equations and systems of inequalities, and quadratic equation solutions and roots.