- Order of Operations
- Basic Properties of Algebra
- Integer Operations
- One- and Two-Step Equations
- Multi-Step Equations
- Basic Inequalities
- Basic Systems of Equations
- Basic Polynomial Operations
Course Objectives & Student Learning Outcomes
Upon completion of Acellus Algebra – SE, students will be able to solve verbal and algebraic expressions; solve problems using order of operations and basic properties of algebra; solve problems with integers and sets of numbers; find absolute value; add and subtract integers; compare and order rational numbers; find square roots, square numbers and irrationals; solve one-step, two-step equations, multi-step, and literal equations using addition, subtraction, multiplication, and division; solve problems using properties of equality; solve complement and supplement problems; clear fractions and decimals; and find perimeter and angle.
The student will also be able to solve proportions; find similar triangles; calculate percent, simple interest; find percent of increase or decrease; calculate probability and odds; graph linear equations and ordered pairs; define and calculate slope; solve inequalities, multi-step inequalities, by substitution, addition, subtraction, multiplication, and division; define polynomial terminology; add, subtract, multiply, and divide monomials with algebra tiles; multiply polynomials by monomials; multiply binomials using FOIL; divide polynomial by a binomial; factor polynomials; solve equations using zero product property; and simplify rational expressions.
Scope and SequenceUnit 1 – Foundations of Algebra This unit covers verbal and algebraic expressions and algebraic patterns, order of operations, basic properties of algebra, arithmetic with integers, number sets and absolute value. It also discusses comparing, ordering, adding, subtracting, multiplying and dividing rational numbers, as well as square roots, squares, and irrationals. Unit 2 – 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 3 – 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.
Following this unit students are presented with the Mid-Term Review and Exam.Unit 4 – Foundations of Graphing This unit covers ordered pairs and relations, graphing linear equations, definitions of and calculating slope, and point-slope and slope-intercept formulas. Unit 5 – Inequalities and Systems of Equations This unit discusses solving inequalities using addition, subtraction, multiplication, and division, as well as multi-step inequalities and solving systems by substitution, addition, and multiplication. Unit 6 – 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 7 – 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, simplifying, rational expressions, and dividing a polynomial by a binomial.
Students are presented with the Final Review and Exam.
This course was developed by the International Academy of Science. Learn More