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.

 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 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)

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

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;

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic
 Zap It! Game

F.A.7.d: intercepts;

 Linear Functions
 Points, Lines, and Equations
 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

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.

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

Correlation last revised: 4/4/2018

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