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