EA-5: The student will demonstrate through the mathematical processes an understanding of the graphs and characteristics of linear equations and inequalities.

EA-5.12: Analyze given information to write a linear inequality in one variable that models a given problem situation.

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

EA-6: The student will demonstrate through the mathematical processes an understanding of quadratic relationships and functions.

EA-6.1: Analyze the effects of changing the leading coefficient a on the graph of y = ax².

 Zap It! Game
 Zap It! Game

EA-6.2: Analyze the effects of changing the constant c on the graph of y = x² + c.

 Zap It! Game
 Zap It! Game

EA-6.3: Analyze the graph of a quadratic function to determine its equation.

 Addition and Subtraction of Functions
 Parabolas
 Translating and Scaling Functions
 Zap It! Game
 Addition and Subtraction of Functions
 Parabolas
 Translating and Scaling Functions
 Zap It! Game

EA-6.4: Carry out a procedure to solve quadratic equations by factoring.

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form

EA-2: The student will demonstrate through the mathematical processes an understanding of the real number system and operations involving exponents, matrices, and algebraic expressions.

EA-2.1: Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers).

 Rational Numbers, Opposites, and Absolute Values

EA-2.2: Apply the laws of exponents and roots to solve problems.

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Radical Expressions

EA-2.3: Carry out a procedure to perform operations (including multiplication and division) with numbers written in scientific notation.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

EA-2.4: Use dimensional analysis to convert units of measure within a system.

 Unit Conversions

EA-2.5: Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

EA-2.7: Carry out a procedure (including addition, subtraction, multiplication, and division by a monomial) to simplify polynomial expressions.

 Addition of Polynomials
 Dividing Polynomials Using Synthetic Division

EA-2.8: Carry out a procedure to factor binomials, trinomials, and polynomials by using various techniques (including the greatest common factor, the difference between two squares, and quadratic trinomials).

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

EA-2.9: Carry out a procedure to perform operations with matrices (including addition, subtraction, and scalar multiplication).

 Translations

EA-3: The student will demonstrate through the mathematical processes an understanding of relationships and functions.

EA-3.1: Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph.

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

EA-3.3: Carry out a procedure to evaluate a function for a given element in the domain.

 Introduction to Functions
 Logarithmic Functions
 Radical Functions

EA-3.5: Carry out a procedure to graph parent functions (including y = x, y = x², y = the square root of x, y = the absolute value of x, and y = 1/x).

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Exponential Functions
 Linear Functions
 Radical Functions
 Translating and Scaling Functions

EA-3.6: Classify a variation as either direct or inverse.

 Direct and Inverse Variation

EA-3.7: Carry out a procedure to solve literal equations for a specified variable.

 Area of Triangles
 Solving Formulas for any Variable

EA-3.8: Apply proportional reasoning to solve problems.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios

EA-4: The student will demonstrate through the mathematical processes an understanding of the procedures for writing and solving linear equations and inequalities.

EA-4.1: Carry out a procedure to write an equation of a line with a given slope and a y-intercept.

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

EA-4.2: Carry out a procedure to write an equation of a line with a given slope passing through a given point.

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

EA-4.3: Carry out a procedure to write an equation of a line passing through two given points.

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

EA-4.4: Use a procedure to write an equation of a trend line from a given scatterplot.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

EA-4.5: Analyze a scatterplot to make predictions.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

EA-4.6: Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard).

 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Linear Systems (Standard Form)
 Standard Form of a Line

EA-4.7: Carry out procedures to solve linear equations for one variable algebraically.

 Area of Triangles
 Solving Formulas for any Variable

EA-4.8: Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution.

 Exploring Linear Inequalities in One Variable
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

EA-4.9: Carry out a procedure to solve systems of two linear equations graphically.

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

EA-4.10: Carry out a procedure to solve systems of two linear equations algebraically.

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

EA-5.1: Carry out a procedure to graph a line when given the equation of the line.

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

EA-5.2: Analyze the effects of changes in the slope, m, and the y-intercept, b, on the graph of y = mx + b.

 Slope-Intercept Form of a Line

EA-5.3: Carry out a procedure to graph the line with a given slope and a y-intercept.

 Cat and Mouse (Modeling with Linear Systems)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

EA-5.4: Carry out a procedure to graph the line with a given slope passing through a given point.

 Cat and Mouse (Modeling with Linear Systems)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

EA-5.6: Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally.

 Cat and Mouse (Modeling with Linear Systems)
 Slope
 Slope-Intercept Form of a Line

EA-5.7: Apply the concept of slope as a rate of change to solve problems.

 Cat and Mouse (Modeling with Linear Systems)
 Distance-Time and Velocity-Time Graphs
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

EA-5.11: Analyze given information to write a system of linear equations that models a given problem situation.

 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

Correlation last revised: 5/24/2018

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