Create and connect representations of various functions using graphs, patterns, equations, and written/verbal expression. Define and recognize the following relations and functions: • Quadratic • Absolute Value • Linear • Piece-wise • Exponential • Radical • Linear Inequalities • Quadratic Inequalities
Graph and sketch all functions and relations from a • Table of values • List of given properties • Equation of a function • Using intercepts • Systems of Linear Inequalities
Determine an exact or suitable possibility for the equation of a function from a • Table of values • List of given properties • Graph of a function
Create a table of values from a • Graph of a function • Equation of a function
Transformations of all functions graphically without a calculator or table of values • Shifting horizontally and vertically • Stretching and compressing vertically • Reflections about the origin, x-axis, and y-axis
Rewrite expressions in equivalent and related forms and solve equations and inequalities using various techniques. Solve equations and simplify expressions of all types. • Use Order of Operations to simplify expressions • Solve one, two and multi-step equations and inequalities • Solve proportions • Rewrite a formula for a specific variable • Solve absolute value equations and inequalities • Verbal/written description • Direct and inverse variations • Systems of equations • Quadratic equations • Radical equations • Simplify integer exponents • Operations with radicals • Operations on polynomials • Simplify rational expressions
Collect, organize, analyze, and assess information and strategies to create, apply, explain, and evaluate solutions. Determine the following: • Domain and range • x-intercepts (roots, zeros) and y-intercepts • where a function is increasing and decreasing • vertex (of a quadratic)
Investigate and analyze real world applications pertaining to all mathematical situations. • Linear equations • Linear inequalities • Absolute Value equations (tolerance) • Systems of equations/inequalities • Quadratic equations (maximize, minimize) • Exponential equations
Apply the graphing calculator in order to recognize properties using an appropriate window. Find a best fit model for a data set • Using a graphing calculator • By hand |