Foundations for Algebra- Evaluate and simplify expressions, identify & apply properties of the real number system, evaluate using order of operations, calculate percents.
Equations- Apply inverse operations to solve equations containing variables, write equations to represent situations, simplify equations before solving.
Inequalities*- Use properties of inequalities, solve linear inequalities by using inverse operations (including compound inequalities and inequalities with variables on both sides of the equation).
Introduction to Functions- Identify and apply relationships between variables, determine whether a relation is a function, graph functions, write functions to represent graphs/tables.
Linear Functions- Write and graph linear functions, identify and interpret the components of linear graphs including x-intercept, y-intercept, and slope, use a trend line to make predictions.
Systems of Equations and Inequalities*- Find a solution that satisfies two linear equations, find a solution that satisfies two linear inequalities, graph one or more linear inequalities on a coordinate plane.
Exponents and Radicals- Apply properties of exponents, simplify radical expressions, calculate the distance between two points in the coordinate plane, calculate the coordinates of the midpoint of a segment given the coordinates of its endpoints, calculate the coordinates of the endpoint of a segment given the coordinates of its midpoint and other endpoint, find the missing side of a right triangle.
Polynomials*- Operations with polynomials (addition, subtraction, multiplication and factoring).
Quadratic Functions and Equations*- Solve quadratic equations using various methods, determine number of solutions using the discriminant, find the vertex, graph parabolas using properties of quadratic functions.
Geometry- Classify transformations, construct transformations, calculate volume of figures. Probability and Statistics- Calculate measures of central tendency, calculate simple and compound probability, differentiate between simple & compound probability, draw conclusions based on data, analyze tables, charts and graphs.
*Degree of coverage depends upon math level.