Algebra I Course Overview
Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfullymastered the core algebraic concepts covered in the prerequisite course, Mathematics 800 Fundamentals. Within theAlgebra I Fundamentals course, the student will explore basic algebraic fundamentals such as evaluating, creating,solving and graphing linear, quadratic, and polynomial functions.• Foundations of Algebra: Student will identify different real number properties, and how to use them to solvealgebraic expressions.
• Linear Equations: Student will translate word problems into algebraic equations, and solve them using realnumber properties, converting between fractions, decimals, and percents.• Functions: Student will understand the characteristics of functions, how to plot them, how to derive theirequations, and determine what type of function a graph represents.• Inequalities: Student will write, graph, and solve inequalities using real number properties.• Linear Systems: Student will determine the solution of a pair of linear equations, using the addition method,substitution method and matrices.• Polynomials: Student will add, subtract, multiply, and divide monomials and polynomials, as well as factorpolynomials, using several different methods.• Exponential and Radical Functions: Student will simplify powers of products, a power raised to a power, andquotients of powers, using the rule of exponents, and add, subtract, multiply, and divide radical expressionsto solve equations.• Quadratics: Student will identify, write, and graph various triangle, circle and quadratic equations andinequalities using the Pythagorean theorem, and by factoring, completing the square, and using the squareroot method.• Rational Expressions: Student will add and subtract fractions with like and unlike denominators, solveproportions, equations and inequalities containing rational expressions, and solve different word problemsusing rational equations.• Probability and Statistics: Student will determine the central tendencies of a given data set, as well asevaluate probability of possible outcomes using multiple methods.