EO: Expressions and Operations

EO.A.1: The student will

EO.A.1.a: represent verbal quantitative situations algebraically; and

Using Algebraic Equations
Using Algebraic Expressions

EO.A.1.b: evaluate algebraic expressions for given replacement values of the variables.

Equivalent Algebraic Expressions I
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

EO.A.2: The student will perform operations on polynomials, including

EO.A.2.a: applying the laws of exponents to perform operations on expressions;

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

EO.A.2.b: adding, subtracting, multiplying, and dividing polynomials; and

Addition and Subtraction of Functions
Addition of Polynomials
Dividing Polynomials Using Synthetic Division
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

EO.A.2.c: factoring completely first- and second-degree binomials and trinomials in one variable.

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

EO.A.3: The student will simplify

EO.A.3.a: square roots of whole numbers and monomial algebraic expressions;

Operations with Radical Expressions
Simplifying Radical Expressions

EO.A.3.c: numerical expressions containing square or cube roots.

Operations with Radical Expressions
Simplifying Radical Expressions

EI: Equations and Inequalities

EI.A.4: The student will solve

EI.A.4.a: multistep linear equations in one variable algebraically;

Modeling and Solving Two-Step Equations
Solving Algebraic Equations I
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Two-Step Equations

EI.A.4.b: quadratic equations in one variable algebraically;

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Roots of a Quadratic

EI.A.4.c: literal equations for a specified variable;

Area of Triangles
Solving Formulas for any Variable

EI.A.4.d: systems of two linear equations in two variables algebraically and graphically; and

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

EI.A.4.e: practical problems involving equations and systems of equations.

Cat and Mouse (Modeling with Linear Systems)
Circles
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Two-Step Equations

EI.A.5: The student will

EI.A.5.a: solve multistep linear inequalities in one variable algebraically and represent the solution graphically;

Compound Inequalities
Exploring Linear Inequalities in One Variable

EI.A.5.b: represent the solution of linear inequalities in two variables graphically;

Linear Inequalities in Two Variables

EI.A.5.c: solve practical problems involving inequalities; and

Linear Inequalities in Two Variables

EI.A.5.d: represent the solution to a system of inequalities graphically.

Linear Programming
Systems of Linear Inequalities (Slope-intercept form)

EI.A.6: The student will

EI.A.6.a: determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line;

Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

EI.A.6.b: write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

EI.A.6.c: graph linear equations in two variables.

Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

F: Functions

F.A.7: The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including

F.A.7.a: determining whether a relation is a function;

Introduction to Functions
Linear Functions
Points, Lines, and Equations

F.A.7.b: domain and range;

Introduction to Functions
Radical Functions

F.A.7.c: zeros;

Graphs of Polynomial Functions
Modeling the Factorization of x²+bx+c
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Zap It! Game

F.A.7.d: intercepts;

Graphs of Polynomial Functions
Linear Functions
Points, Lines, and Equations
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Slope-Intercept Form of a Line
Zap It! Game

F.A.7.f: connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs.

Linear Functions
Points, Lines, and Equations

S: Statistics

S.A.8: The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.

Direct and Inverse Variation

S.A.9: The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of linear and quadratic functions.

Correlation
Determining a Spring Constant
Least-Squares Best Fit Lines
Solving Using Trend Lines