# Algebra I – Spanish

#### Course Features

#### Course Details

Course Overview

Acellus Algebra Spanish teaches students the basic principles, rules, and operations of working with expressions containing variables. Acellus Algebra Spanish incorporates English math terminology so that Spanish-speaking students can transition to math classes taught in English as effortlessly as possible.

Course topics include the following:- Order of Operations
- Basic Properties of Algebra
- One- and Two-Step Equations
- Multi-Step Equations
- Literal Equations
- Mixtures
- Uniform Motion
- Formulas for the Equation of a Line (Point-Slope and Slope-Intercept forms)
- Equations for Parallel and Perpendicular Lines
- Parabolas
- Inequalities
- Systems of Equations
- Polynomial Operations
- Factoring Polynomials
- Rational Expressions
- Radical Expressions and Equations
- The Distance Formula
- Quadratic Formula

This course has been developed for students in grades 8 and above. We recommend that students complete Acellus FunMath Spanish prior to taking this course to ensure that they have a strong foundation of basic mathematical principles on which to build.

This NCTM standards-based course is taught by award-winning Acellus Master Teacher, Nancy Arroyo.

### Course Objectives & Student Learning Outcomes

Upon completion of Acellus Algebra, students will be able to solve algebraic problems that include verbal and algebraic expressions, and open sentences; identify algebraic patterns; solve problems using order of operations and basic algebraic properties to include distributive; solve problems with integers, number sets, and absolute value; compare, order, add, subtract, multiply, and divide rational numbers; calculate square roots, squares, and irrationals; solve one-step equations using addition, subtraction, multiplication, and division; find properties of equality; solve two-step equations with manipulatives; solve complement and supplement problems; clear fractions and decimals; solve number problems; solve perimeter and angle problems, multistep equations, and literal equations; solve proportions; find percent and percent increase or decrease, simple interest, and probability and odds; find mixtures; and solve uniform motion problems.

Students will also be able to graph linear equations and ordered pairs; write equations from relations; define slope; calculate slope; solve problems using point-slope formula and slope-intercept formula; implement graphing shortcuts; find parallel and perpendicular slopes; solve equations of parallel and perpendicular lines; find midpoints; graph absolute value; solve parabolas problems; solve equations with a calculator; solve inequalities using addition, subtraction, multiplication, and division; solve multi-step inequalities; graph inequalities; solve systems of equations by graphing, substitution, addition and multiplication; compare and choose graphing systems of inequalities; identify and interpret polynomial terminology; add, subtract, multiply, and divide polynomials; and factor polynomials.

Finally, students will be able to simplify rational expressions; divide polynomial by a binomial; multiply, divide, add, and subtract rational expressions; simplify square roots; radical expressions; rationalize denominators; solve radical expressions and equations; solve problems using the distance formula; solve quadratic equations; complete the square; solve problems with the rules of exponents; convert units for derived quantities; add and subtract quantities in different units; average data with different units; convert between measurement systems; solve piece-wise and exponential function problems; model using exponential functions; calculate rate of change; solve problems with linear recursive and non-linear recursive formulas; model; calculate probability; read a two-way table; solve problems with conditional probability, law of large numbers, Pascal’s Triangle, rule of four, and quadratic equations; and analyze situations including systems of equations and systems of inequalities.

**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.

This course was developed by the International Academy of Science. Learn More