Unit 4 - Radicals and the the Quadratic Formula

A2.A.22a I can graph square root functions and state their domain

A2.A.22b I can solve radical equations A2.N.2 I can add, subtract, multiply and divide numbers that are in radical form.

A2.A.15 I can rationalize the denominators of rational expressions with radicals in the denominator

A2.A.25a I can solve incomplete quadratic equations

 A2.A.25b I can solve quadratic equations with the quadratic formula

A2.A.20 I can state the sum and product of the roots of a quadratic equation by examining its equations.

A2.A.21 I can write a quadratic equation if I am given the sum and product of its roots.

A2.N.1 I can evaluate numbers and expressions that have fractional exponents WITHOUT A CALCULATOR

A2.A.10 I can convert terms with fractional exponents to radical form.

A2.A.11 I can convert algebraic expressions in radical form into to fractional exponent form

A2.A.11b I can determine if a function is a power function

 A2.A.8a I can write power functions in the form y = axb

 A2.A.8b I can sketch the graph of a power function

Unit 1 - Functions

A2.A.37 I can define a relation and a function

A2.A.38 I can determine when a relation is a function

A2.A.40 I can write functions in function notation

A2.A.41 I can use functional notation the evaluate function for given values in their domains

A2.A.42 I can find a composition of functions if I am given more than one function

A2.A.39 I can determine the domain and range of a function from its equation

A2.A.43 I can determine if a function is one-to-one, onto, or both

A2.A.44 I can define the inverse of a function

A2.A.45 I can determine the inverse of a function and use the composition to justify the result

Unit 2 - Linear Relations

A2.A.5a I can determine if a relation is linear

A2.A.5b I can use direct variation to solve for unknown values

A2.S.7a I can write the point slope and slope intercept equation of a line

A2.S.7b I can create linear models to answer questions and solve problems.

A2.S.7c I can create a linear function from data and use the function to extrapolate and interpolate from the data.

A2.S.8a I can calculate the correlation coefficient, “r” and use it as a measure to determine the strength of a relationship

A2.S.8 I can draw valid inferences from data using the correlation coefficient.

Unit 3 - Quadratic Functions

A2.A.7a I can factor all types of polynomials completely using skills such as common factor extracting, difference of squares, grouping etc.

A2.A.7b I can solve polynomials by factoring and using the Zero Product Law.

A2.A.4a I can solve quadratic inequalities in one variable and graph the solution set.

A2.A.4b I can solve quadratic inequalities in two variables and graph the solution set.

A2.A.7c I can create and use quadratic models to solve problems

A2.A.24 I can use the technique of “Completing the Square” to solve and identify parts of quadratic equations and shift their graphs.

A2.A.46 I can perform transformations with quadratic functions and relations such as shifts, reflections and dilations.

A2.A.47 I can write the center-radius form of a circle from its equation

A2.A.48 I can write the equation of a circle if I am given information about its center and radius.

A2.A.49 I can write the equation of a circle from its graph.