# Algebra II Learning Outcomes

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Algebra II
Learning Outcomes

Chapter 1: Equations and Inequalities

Use a number line to graph and order real numbers.

Identify Properties of and use operations with real numbers.

Evaluate algebraic expressions.

Simplify algebraic expressions by combinin
g like terms.

Solve linear equations.

Use linear equations to solve real
-
life problems.

Rewrite equations with more than one variable.

Rewrite common formulas.

Use a general problem solving plan to solve real
-
life problems.

Solve simple inequalities.

Sol
ve compound inequalities.

Solve absolute value equations and inequalities.

Use absolute value equations and inequalities to solve real
-
life problems.

Chapter 2: Linear Equations and Functions

Represent relations and functions

Graph and evaluate line
ar functions

Find slopes of lines and classify parallel and perpendicular lines.

Use slope to solve real
-
life problems.

Use slope
-

intercept form of a linear equation to graph linear equations.

Use the standard form of a linear equation to graph linear eq
uations.

Write linear equations.

Write direct variation equations.

Use a scatter plot to identify the correlation shown by a set of data.

Approximate the best
-
fitting line for a set of data.

Graph linear equalities in two variables.

Use linear inequal
ities to solve real
-
life problems.

Represent piecewise functions.

Use piecewise functions to solve real
-
life quantities.

Represent absolute value functions.

Use absolute value functions to model real
-
life situations.

Algebra II
Learning Outcomes

Cha
pter 3: Systems of Linear Equations and Inequalities

Graph and solve systems of linear equations in two variables.

Use linear systems to solve real
-
life problems.

Use algebraic models to solve linear systems.

Use linear systems to model real
-
life situati
ons.

Graph a system of linear inequalities to find the solutions of a system.

Use systems of linear inequalities to solve real
-
life problems.

Solve linear programming problems.

Use linear programming to solve real
-
life problems.

Graph linear equations in t
hree variables.

Evaluate linear functions of 2 variables.

Use functions of two variables to model real
-
life situations.

Solve systems of linear equations in three variables.

Use linear systems in three variables to model real
-
life situations.

Chapter 5:

Use quadratic functions to solve real
-
life problems.

Solve quadratic equations by finding square roo
ts.

Use quadratic equations to solve real
-
life problems.

Solve quadratic equations with complex solutions.

Solve quadratic equations by completing the square.

Use completing the square to write quadratic functions in vertex form.

Use the quadratic formula in real
-
life situations.

Graph quadratic inequalities in two variables.

Solve quadratic inequalities in one variable.

Write quadratic functions given characteristics of their graph.

Use technology to

Algebra II
Learning Outcomes

Chapter 6: Polynomials and Polynomial Functions

Use properties of exponents to evaluate and simplify expressions.

Use exponents and scientific notation to solve real
-
life problems.

Evaluate a

polynomial function.

Graph a polynomial function.

Use polynomial equations in real
-
life problems.

Factor polynomial expressions.

Use factoring to solve polynomial equations.

Divide polynomials and relate the result

to the remainder theorem.

Use polynomial division in real
-
life problems.

Find the rational zeros of a polynomial function.

Use polynomial equations to solve real
-
life problems.

Use the fundamental theorem of algebra.

Analyze the graph of a polynomial func
tion.

Use the graph of a polynomial function to solve real
-
life problems.

Use the finite differences to determine the degree of a polynomial function.

Chapter 7: Powers, Roots, and Radicals

Evaluate n
th

roots of real numbers
using various notations.

Use

n
th

roots to solve real
-
life problems.

Use properties of rational exponents to evaluate and simplify expressions.

Use properties of rational exponents to solve real
-
life problems.

Perform operations with functions including power functions.

Use power func
tions and function operations to solve real
-
life problems.

Find inverses of linear functions.

Find inverses of non
-
linear functions.

Graph square root and cube root functions.

Use square root and cube root functions to find real
-
life quantities.

Solve equa
tions that contain radicals or rational exponents.

Use radical equations to solve real
-
life problems.

Algebra II
Learning Outcomes

Chapter 8: Exponential and Logarithmic Functions

Graph exponential growth functions.

Use exponential growth functions to m
odel real
-
life situations.

Use the number
e

as the base of exponential functions.

Use the natural base
e

in real
-
life situations.

Evaluate logarithmic functions.

Graph logarithmic functions.

Use properties of logarithms.

Use properties of logarithms to sol
ve real
-
life problems.

Solve exponential equations.

Solve logarithmic equations.

Model data with exponential functions.

Model data with power functions.

Evaluate and graph logistic growth functions.

Use logistic growth functions to model real
-
life quantiti
es.

Chapter 9: Rational Equations and Functions

Write and use inverse variation models.

Write and use joint variation models.

Graph simple rational functions.

Use the graph of a rational function to solve real
-
life problems.

Graph general rational funct
ions.

Use the graph of a rational function to
solve real
-
life problems.

Multiply and divide rational expressions.

Use rational expressions to model real
-
life quantities.

Simplify complex fractions.

Solve rational equ
ations.

Use rational equations to solve real
-
life problems.

Algebra II
Learning Outcomes

Chapter 10: Quadratic Relations and Conic Sections

Find the distance formula between two points and find the midpoint.

Use the distance and midpoint formulas in rea
l
-
life situations.

Graph and write equations of parabolas.

Use parabolas to solve real
-
life problems.

Graph and write equations of circles.

Use circles to solve real
-
life problems.

Graph and write equations of ellipses.

Use ellipses in real
-
life situation
s.

Graph and write equations of hyperbolas.

Use hyperbolas to solve real
-
life problems.

Write and graph an equation of a shifted parabola, hyperbola, or ellipse.

Classify a conic using its equation.