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.