### Algebra I Fundamentals

Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Mathematics 800 Fundamentals. Within the Algebra I Fundamentals course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphinglinear, quadratic, and polynomial functions.

**Foundations of Algebra:**Student will identify different real number properties, and how to use them to solve algebraic expressions.**Linear Equations:**Student will translate word problems into algebraic equations, and solve them using real number properties, converting between fractions, decimals, and percent’s.**Functions:**Student will understand the characteristics of functions, how to plot them, how to derive their equations, 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 factor polynomials, using several different methods.**Exponential and Radical Functions:**Student will simplify powers of products, a power raised to a power, and quotients of powers, using the rule of exponents, and add, subtract, multiply, and divide radical expressions to solve equations.**Quadratics:**Student will identify, write, and graph various triangle, circle and quadratic equations and inequalities using the Pythagorean theorem, and by factoring, completing the square, and using the square root method.**Rational Expressions:**Student will add and subtract fractions with like and unlike denominators, solve proportions, equations and inequalities containing rational expressions, and solve different word problems using rational equations.**Probability and Statistics:**Student will determine the central tendencies of a given data set, as well as evaluate probability of possible outcomes using multiple methods.

**State:**National

**Grade Level:**9, 10, 11, 12

**Category:**Math

**Course Length:**Year