### Algebra I

Algebra I –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, Pre-Algebra. Within the Algebra I 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 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