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Chapter 1

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|1-1 Variables and |*Writing algebraic |Whole Numbers |Equations & Problem Solving | | |

|Expressions |expressions from words |*Into to Variables |*Order of Operations & Simplifying | |Lessons/vol7/ expressions.html |

| |*Writing an equation |Equations/Problem Solving |Algebraic Expressions | | |

| | |*Simplifying Algebraic Expressions | | | |

|1-2 Order of Operations/ |*Using the order of |Whole Numbers | | | |

|Evaluating Expressions |operations to simplify an |*Exponents and Order of Operations | | |Lessons/vol7/ order_operations.html |

| |expression |Integers | | | |

| |*Evaluating algebraic |*Order of Operations with Integers | | | |

| |expressions with exponents| | | |Lessons/vol7/ operations_ |

| | | | | |exponents.html |

| | | | | | |

| | | | | | |

| | | | | |Lessons/vol7/ operations_ |

| | | | | |integers.html |

|1-3 Real Numbers |*Ordering positive and |Integers | |Algebra I Worked Examples | |

| |negative fractions |*Intro to Integers | |*Number Sets 1 |Lessons/vol5/ intro_integers.html |

| |*Classifying numbers | | |*Number Sets 2 | |

| |*Simplifying square roots | | |*Number Sets 3 | |

| |of rational numbers | | | |Lessons/vol5/ compare_order.html |

| |*Estimating square roots | | | | |

| |of rational numbers | | | | |

|1-4 Properties of Real |*Identifying properties of| | | | |

|Numbers |real numbers | | | | |

| |*Using properties of real | | | | |

| |numbers | | | | |

|1-5 Add/Sub Real Numbers |*Adding rational numbers |Integers | |Algebra I Worked Examples | |

| |*Adding rational numbers |*Adding Integers | |*Absolute Value 1 |Lessons/vol5/ absolute_value.html |

| |to solve problems |*Subtracting Integers | |*Absolute Value and Number Lines | |

| |*Subtracting rational | | | | |

| |numbers | | | |Lessons/vol5/ addition.html |

| |*Evaluating algebraic | | | | |

| |expressions with rational | | | | |

| |numbers | | | |Lessons/vol5/ subtraction.html |

| |*Finding absolute value | | | | |

|1-6 Mult/Div Real Numbers|*Multiplying rational |Integers | | | |

| |numbers |*Multiplying & Dividing with Integers | | |Lessons/vol5/ multiplication.html |

| |*Dividing rational numbers| | | | |

| | | | | | |

| | | | | |Lessons/vol5/ division.html |

|1-7 Distributive Property|*Simplifying algebraic | | | | |

| |expressions with exponents| | | | |

|1-8 Intro to Equations | |Equations/Problem Solving |Equations & Problem Solving | | |

| | |*Using the Addition Property of Equality to|*Using the Properties of Equality to Solve | |Lessons/vol7/ equations.html |

| | |Solve Equations |Equations | | |

| | |*Using the Multiplication Property of | | | |

| | |Equality to Solve Equations | | | |

| | |*Using Multiple Properties of Equality to | | | |

| | |Solve Equations | | | |

| | |Decimals | | | |

| | |*Solving Equations Containing Decimals | | | |

|1-9 Patterns, Equations, | | | | | |

|and Graphs | | | | | |

| | |Struggling with other concepts: |Struggling with other concepts: | | |

| | |Whole Numbers | | | |

| | |*Rounding & Estimating |Equations & Problem Solving | | |

| | |*Multiply Whole Numbers |*General Steps for Solving Word Problems | | |

| | |*Divide Whole Numbers | | | |

| | |*General Steps for Solving Word Problems | | | |

| | |Fractions | | | |

| | |Decimals | | | |

| | |Percents | | | |

| | |Graphing | | | |

| | |*Mean, Medians, & Modes | | | |

Chapter 2

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|2-1 One-Step Equations | |Equations/Problem Solving |Equations & Problem Solving |Algebra | |

| | |*Using the Addition Property of Equality to|*Using the Properties of Equality to Solve |*Simple Equations | |

| | |Solve Equations |Equations | | |

| | |*Using the Multiplication Property of | | | |

| | |Equality to Solve Equations | | | |

|2-2 Two-Step Equations |*Solving a two-step |Equations/Problem Solving | |Algebra | |

| |equation |*Using Multiple Properties of Equality to | |*Equations 2 | |

| |*Writing and solving |Solve Equations | | | |

| |two-step equations | | | | |

|2-3 Multi-Step Equations |*Solving multi-step | | |Algebra | |

| |equations | | |*Algebra: Equations 4 | |

| |*Solving multi-step | | |Algebra I Worked Examples | |

| |equations by combining | | |*Solving Equations 1 | |

| |like terms | | | | |

|2-4 Equations with |*Solving equations with | | |Algebra | |

|Variables on Both Sides |variables on both sides | | |*Equations 3 | |

| | | | |Algebra I Worked Examples | |

| | | | |*Solving Equations 2 | |

| | | | |*Solving Equations with the | |

| | | | |Distributive Property | |

| | | | |Solving Equations with the | |

| | | | |Distributive Property 2 | |

|2-5 Literal Equations and| | | |Algebra I Worked Examples | |

|Formulas | | | |*Example of Solving for a Variable | |

| | | | |*Solving for a Variable 2 | |

|2-6 Ratios, Rates, |*Converting rates using | | |Algebra | |

|Conversions |unit or dimensional | | |*Introduction to Ratios | |

| |analysis | | | | |

| |*Solving proportions using| | | | |

| |cross products | | | | |

| |*Solving multi-step | | | | |

| |proportions | | | | |

| |*Comparing unit rates | | | | |

|2-7 Solving Proportions | | | |Algebra | |

| | | | |*Ratio Problem with Basic Algebra |Lessons/percent/ proportions.html |

| | | | |*Writing Proportions | |

|2-8 Similar Figures |*Using similar figures to | | | | |

| |find indirect measurement | | | | |

| |*Using proportion to find | | | | |

| |unknown length in similar | | | | |

| |figures | | | | |

| |*Finding distances on maps| | | | |

| |using scale | | | | |

|2-9 Percents | | | | | |

| | | | | |Lessons/percent/ interest.html |

|2-10 Change Expressed as |*Finding percent increase | | | | |

|a Percent |*Finding percent decrease | | | |Lessons/percent/ change.html |

| |*Finding the greatest | | | | |

| |possible error | | | | |

| |*Finding percent errors | | | | |

Chapter 3

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|3-1 Inequalities and |*Graphing solutions to one | |Equations & Problem Solving |Algebra | |

|the Graphs |variable inequalities | |*Solving and Graphing Inequality Equations |*Algebra: Solving Inequalities | |

| |*Writing an inequality from | | |Algebra I Worked Examples | |

| |a graph | | |*Solving Inequalities | |

| |*Writing inequalities | | |*Inequalities | |

| | | | |*Writing and Using Inequalities 2 | |

| | | | |*Writing and Using Inequalities 3 | |

|3-2 Solving |*Solving one-step whole | | | | |

|Inequalities (+,-) |number inequalities by | | | | |

| |adding | | | | |

| |*Solving one-step | | | | |

| |inequalities by subtracting | | | | |

|3-3 Solving |*Solving one-step | | | | |

|Inequalities (x,/) |inequalities by multiplying | | | | |

| |*Solving one-step | | | | |

| |inequalities by dividing | | | | |

|3-4 Solving Multi-Step|*Solving two-step | | | | |

|Inequalities |inequalities | | | | |

| |*Solving multi-step | | | | |

| |inequalities using the | | | | |

| |distributive property | | | | |

| |*Solving multi-step | | | | |

| |inequalities with variables | | | | |

| |on both sides | | | | |

|3-5 Working with Sets | | | | | lessons/sets |

| | | | | | |

| | | | | |Read the lesson, work the problems |

| | | | | |then do the additional lessons at the |

| | | | | |bottom |

|3-6 Compound |*Writing and solving a | | | | |

|Inequalities |compound inequality | | | | |

| |containing And | | | | |

| |*Writing and solving a | | | | |

| |compound inequality | | | | |

| |containing Or | | | | |

|3-7 Absolute Value |Solving an absolute value | | |Algebra I Worked Examples | |

| |equation | | |*Absolute Value Equations | |

| |*Solving an absolute value | | |*Absolute Value Equations 2 | |

| |inequality | | |*Absolute Value Inequalities Example | |

| | | | |1 | |

| | | | |*Absolute Inequalities 2 | |

| | | | |*Writing and Using Inequalities | |

|3-8 Unions and | | | | | |

|Intersections | | | | | |

Chapter 4

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|4-1 Graphs to Relate 2 |*Interpreting a graph that| | |Algebra | |

|Quantities |is related to events | | |*Algebra: Graphing Lines 1 | |

| |*Sketching a graph that is| | | | |

| |related to events | | | | |

|4-2 Patterns and Linear |*Identifying independent |Graphing |Graphs of Linear Equations |Algebra I Worked Examples | |

|Functions |and dependent quantities |*Graphing Linear Equations |*Graphing Linear Equations |*Patterns in Sequences | |

| |*Writing a rule from a | | |*Patterns in Sequences 2 | |

| |table | | |*Equations of Sequence Patterns | |

| | | | |*Finding the 100th Term in a Sequence | |

|4-3 Patterns and | | | | | |

|Nonlinear Functions | | | | | |

|4-4 Graphing a Function |*Making a table from a | | | | |

|Rule |function rule | | | | |

| |*Finding the range of a | | | | |

| |function given the domain | | | | |

| |*Modeling a function using| | | | |

| |three views | | | | |

| |*Discrete vs. continuous | | | | |

| |data | | | | |

| |*Graphing a nonlinear | | | | |

| |function | | | | |

|4-5 Writing a Function |*Writing a function from | | |Algebra | |

|Rule |words | | |*Introduction to Functions | |

| | | | |*Functions Part 2 | |

| | | | |*Functions (Part III) | |

| | | | |*Functions (part 4) | |

|4-6 Formalizing Relations|*Determining a reasonable | | |Algebra | |

|and Functions |domain and range for a | | |*Domain of a Function | |

| |situation | | |Algebra I Worked Examples | |

| |*Identifying functions | | |*Functional Relationships | |

| |using a mapping diagram | | |*Testing if a Relationship is a | |

| |*Identifying functions | | |Function | |

| |using the vertical line | | |*Domain and Range 1 | |

| |test | | |*Domain and Range 2 | |

|4-7 Sequences and |*Finding the common | | | | |

|Functions |difference of an | | | | |

| |arithmetic sequence | | | | |

| |*Finding the value of the | | | | |

| |nth term of an arithmetic | | | | |

| |sequence | | | | |

| | |Struggling with other concepts: |Struggling with other concepts: | | |

| | |Graphing |Graphs of Linear Equations | | |

| | |*The Rectangular Coordinate System |*The Rectangular Coordinate System | | |

Chapter 5

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|5-1 Slope |*Finding slope using | |Graphs of Linear Equations |Algebra | |

| |rise/run | |*Slope |*Slope | |

| |*Finding the rate of | | |*slope 2 | |

| |change using a table | | |Algebra I Worked Examples | |

| |*Finding the rate of | | |*Recognizing Linear Functions | |

| |change using a graph | | |*Slope of a Line | |

| |*Finding slope using | | |*Slope Example | |

| |coordinates | | | | |

| |*Finding the slope of | | | | |

| |horizontal or vertical | | | | |

| |lines | | | | |

|5-2 Direct Variation |*Using a direct variation | | |Algebra | |

| |to describe a situation | | |*Direct and Inverse Variation | |

| |*Using a proportion as an | | |*Recognizing Direct and Inverse | |

| |equation of direct | | |Variation | |

| |variation | | |Algebra I Worked Examples | |

| |*Using a proportion to | | |*Direct Variation | |

| |solve a direct variation | | | | |

| |problem | | | | |

|5-3 Slope-Intercept Form |*Graphing a linear | |Graphs of Linear Equations |Algebra | |

| |equation using | |*Slope Intercept Form |*slope 2 | |

| |slope-intercept form | | |*slope 3 | |

| |*Writing and equation | | |Algebra: Equation of a Line | |

| |given the | | |Algebra I Worked Examples | |

| |slope/y-intercept | | |*Graphing a Line in Slope-Intercept | |

| |*Writing an equation from | | |Form | |

| |a graph | | |*Equation of a Line 2 | |

| | | | |*Converting to Slope-Intercept Form | |

|5-4 Point-Slope Form |*Analyzing linear graphs | | |Algebra I Worked Examples | |

| |*Graphing linear equations| | |*Point-Slope and Standard Form | |

| |using point-slope form | | | | |

| |*Writing an equation in | | | | |

| |point-slope form using a | | | | |

| |point and the slope | | | | |

| |*Writing an equation in | | | | |

| |point-slope form from a | | | | |

| |graph | | | | |

| |*Writing a linear equation| | | | |

| |using a table | | | | |

|5-5 Standard Form |*Modeling real world | | |Algebra I Worked Examples | |

| |situations using linear | | |*X and Y Intercepts | |

| |equations | | |*X and Y Intercepts 2 | |

| |*Finding the x- and | | |Algebra I Worked Examples | |

| |y-intercepts from an | | |*Point-Slope and Standard Form | |

| |equation in standard form | | | | |

| |*Graphing linear equations| | | | |

| |using intercepts | | | | |

|5-6 Parallel and |*Determining whether lines| | |Algebra I Worked Examples | |

|Perpendicular lines |are parallel | | |*Parallel Lines | |

| |*Writing equations of | | |*Parallel Lines 2 | |

| |parallel lines | | |*Parallel Lines 3 | |

| |*Determining whether lines| | |*Perpendicular Lines | |

| |are perpendicular | | |*Perpendicular Lines 2 | |

| |*Writing equations of | | | | |

| |perpendicular lines | | | | |

|5-7 Trend Lines |*Making a scatter plot | | | | |

| |*Using scatter plots and | | | | |

| |trend lines to make | | | | |

| |predictions | | | | |

| |*Writing an equation for a| | | | |

| |trend line | | | | |

| |*Writing an equation for a| | | | |

| |line of best fit | | | | |

| | | | |Other | |

| | | | |Algebra | |

| | | | |*Slope and Y-Intercept Intuition | |

Chapter 6

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|6-1 Solving Systems by |*Solving and | |Systems of Linear Equations |Algebra I Worked Examples | |

|Graphing |interpreting as system | |*Solving Linear Systems by |*Solving Systems by Graphing | |

| |of linear equations by | |Graphing |*Solving Systems by Graphing | |

| |graphing | | |2 | |

| |*Interpreting solutions| | |*Solving Systems by Graphing | |

| |of systems of linear | | |3 | |

| |equations | | | | |

| |*Analyzing special | | | | |

| |types of linear systems| | | | |

|6-2 Solving Systems |*Solving linear systems| |Systems of Linear Equations |Algebra I Worked Examples | |

|with Substitutions |using substitutions | |*The Substitution Method |*Solving Systems by | |

| |*Solving linear systems| | |Substitution 1 | |

| |for real-world | | |*Solving Systems by | |

| |situations using | | |Substitution 2 | |

| |substitutions | | |*Solving Systems by | |

| | | | |Substitution 3 | |

|6-3 Solving Systems |*Solving linear systems| |Systems of Linear Equations |Algebra | |

|using Elimination |using elimination, | |*The Addition Method |*Systems of Equations | |

| |adding | | |Algebra I Worked Examples | |

| |*Solving linear systems| | |*Solving Systems by | |

| |using elimination, | | |elimination | |

| |multiplying first | | |*Solving Systems by | |

| | | | |Elimination 2 | |

| | | | |*Solving Systems by | |

| | | | |Elimination 3 | |

|6-4 Applications of |*Writing and solving | |Systems of Linear Equations |Algebra I Worked Examples | |

|Linear Systems |linear systems | |*Word Problems that Involve |*Systems and Rate Problems | |

| |*Finding a break even | |Systems |*Systems and Rate Problems 2 | |

| |point | |Word Problems |*Systems and Rate Problems 3 | |

| | | |*Word Problems Involving Mixtures |*Mixture Problems 1 | |

| | | |*Word Problems Involving Work |*Mixture Problems 2 | |

| | | |*Word Problems Involving Rate, |*Mixture Problems 3 | |

| | | |Time, & Distance | | |

|6-5 Linear Inequalities|*Modeling real world | |Graphs of Linear Equations |Algebra I Worked Examples | |

| |situations using linear| |*Graphing Linear Inequalities |*Solving and Graphing Linear | |

| |inequalities | | |Inequalities in Two Variables| |

| | | | |*Graphing Linear Inequalities| |

| | | | |in Two Variables 2 | |

| | | | |*Graphing Linear Inequalities| |

| | | | |in Two Variables 3 | |

|6-6 Systems of Linear |*Graphing systems of | | |Algebra I Worked Examples | |

|Inequalities |linear inequalities | | |*Graphing Systems of | |

| |*Writing a system of | | |Inequalities | |

| |linear inequalities | | |*Graphing Systems of | |

| |*Using a system of | | |Inequalities 2 | |

| |linear inequalities | | |*Graphing Systems of | |

| | | | |Inequalities 3 | |

| | | |Word Problems | | |

| | | |*Word Problems Involving Systems | | |

Chapter 7

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|7-1 Zero and Negative |*Simplifying exponential | |Exponents & Polynomials | | |

|Exponents |algebraic expressions | |* Negative Exponents | | |

| |including negative values | | | | |

| |*Evaluating exponential | | | | |

| |expressions | | | | |

|7-2 Scientific Notation |*Writing a number in | |Exponents & Polynomials |Algebra I Worked Examples | |

| |scientific notation | |* Scientific Notation |*Scientific Notation 1 | |

| |*Writing a number in | | |*Scientific Notation 2 | |

| |standard notation | | |*Scientific Notation 3 | |

| |*Ordering numbers in | | | | |

| |scientific notation | | | | |

| |*Multiplying a number in | | | | |

| |scientific notation by a | | | | |

| |single number | | | | |

|7-3 Multiplying Powers |*Multiplying powers with |Polynomials |Exponents & Polynomials |Algebra I Worked Examples | |

|with the Same Base |the same base |*Multiplication Properties of Exponents |* Exponents |*Simplifying Expressions with | |

| |*Multiplying powers in an | | |Exponents | |

| |algebraic expression | | | | |

| |*Multiplying numbers in | | | | |

| |scientific notation | | | | |

|7-4 Multiplication |*Simplifying a power | | |Algebra I Worked Examples | |

|Properties of Exponents |raised to a power | | |*Exponent Rules 1 | |

| |*Raising a product to a | | |*Simplifying Expressions with | |

| |power | | |Exponents 3 | |

| |*Raising a number in | | | | |

| |scientific notation to a | | | | |

| |power | | | | |

|7-5 Division Properties |*Dividing numbers in | |Exponents & Polynomials |Algebra I Worked Examples | |

|of Exponents |scientific notation | |* Rational Expressions & Exponents |*Simplifying Expressions with | |

| |*Dividing algebraic | | |Exponents 2 | |

| |expressions containing | | | | |

| |exponents | | | | |

| |*Raising a quotient to a | | | | |

| |power | | | | |

|7-6 Exponential Functions|*Evaluating an exponential| | | | |

| |function | | | | |

| |*Graphing an exponential | | | | |

| |function | | | | |

| |*Using an exponential | | | | |

| |function to model | | | | |

| |real-world situations | | | | |

| |*Finding the value of the | | | | |

| |nth term of geometric | | | | |

| |sequence | | | | |

Chapter 8

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|8-1 Add and Subtract |*Classifying polynomials |Polynomials |Exponents & Polynomials |Algebra I Worked Examples | |

|Polynomials |using the degree and |*Adding & Subtracting Polynomials |* Adding & Subtracting Polynomials |*Adding and Subtracting Polynomials 1 | |

| |number of terms | | |*Adding and Subtracting Polynomials 2 | |

| |*Adding polynomials | | |*Adding and Subtracting Polynomials 3 | |

| |*Subtracting polynomials | | | | |

|8-2 Multiplying and |*Multiplying a polynomial |Polynomials |Exponents & Polynomials |Algebra I Worked Examples | |

|Factoring |by a monomial |*Multiplying Polynomials |* Multiplying Polynomials |*Factoring and the Distributive | |

| |*Finding the GCF of a | | |Property 2 | |

| |polynomial | | |*Factoring and the Distributive | |

| |*Factoring out a monomial | | |Property 3 | |

| |using the GCF | | | | |

|8-3 Multiplying Binomials|*Multiplying two binomials| | |Algebra | |

| |using the distributive | | |*Level 1 Multiplying Expressions | |

| |property | | |Algebra I Worked Examples | |

| |*Multiplying two binomials| | |*Multiplying Polynomials 1 | |

| |using FOIL | | |*Multiplying Polynomials 2 | |

| |*Applying the | | |*Multiplying Polynomials 3 | |

| |multiplication of | | | | |

| |polynomials | | | | |

| |*Multiplying a trinomial | | | | |

| |and binomial | | | | |

|8-4 Multiplying Special |*Squaring a binomial | | |Algebra I Worked Examples | |

|Cases |*Squaring a binomial to | | |*Special Products of Polynomials | |

| |find probability | | |*Special Products of Polynomials 2 | |

| |*Finding the difference of| | |*Special Products of Polynomials 3 | |

| |squares | | | | |

|8-5 Factoring |*Factoring trinomials of | | |Algebra | |

|x2 + bx + c |the type x2 + bx + c where| | |*Solving a Quadratic by Factoring | |

| |b is positive | | |Algebra I Worked Examples | |

| |*Factoring trinomials of | | |*Solving Quadratic Equations by | |

| |the type x2 + bx + c where| | |Factoring | |

| |b is negative | | |*Solving Quadratic Equations by | |

| |*Factoring trinomials of | | |Factoring 2 | |

| |the type x2 + bx – c | | |*Solving Quadratic Equations by | |

| |*Factoring trinomials with| | |Factoring 3 | |

| |two variables | | | | |

|8-6 Factoring |*Factoring trinomials of | |Factoring Polynomials | | |

|ax2 + bx + c |the type ax2 + bx + c | |*Factoring Trinomials in the Form…ax2 + bx | | |

| |where b is positive | |+ c | | |

| |*Factoring trinomials of | | | | |

| |the type ax2 + bx + c | | | | |

| |where b is negative | | | | |

|8-7 Factoring Special |*Factoring perfect square | | |Algebra I Worked Examples | |

|Cases |trinomials with a = 1 | | |*Factoring Special Products 1 | |

| |*Factoring perfect square | | |*Factoring Special Products 2 | |

| |trinomials with a not | | | | |

| |equal to 1 | | | | |

| |*Factoring the difference | | | | |

| |of two squares | | | | |

|8-8 Factoring by Grouping|*Factoring a four-term | | |Algebra I Worked Examples | |

| |polynomial by grouping | | |*Factoring Trinomials by Grouping 1 | |

| |*Factoring a trinomial by | | |*Factoring Trinomials by Grouping 2 | |

| |grouping | | |*Factoring Trinomials by Grouping 3 | |

| |*Using factoring of | | |*Factoring Trinomials by Grouping 4 | |

| |trinomials in real-world | | |*Factoring Trinomials by Grouping 5 | |

| |situations | | |*Factoring Trinomials by Grouping 6 | |

| | | |Struggling with the Basics? |Struggling with the Basics? | |

| | | |Factoring Polynomials |Algebra I Worked Examples | |

| | | |*Greatest Common Factors |*Multiplying and Dividing Monomials 1 | |

| | | | |*Multiplying and Dividing Monomials 2 | |

| | | | |*Multiplying and Dividing Monomials 3 | |

| | | | |*Factoring and the Distributive | |

| | | | |Property | |

Chapter 9

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|9-1 Quadratic Graphs and |*Graphing a quadratic | |Quadratic Equations |Algebra I Worked Examples | |

|their Properties |function using a table, y | |*Graphing Quadratic Functions |*Quadratic Functions 1 | |

| |= ax2 | | |*Quadratic Functions 2 | |

| |*Graphing a quadratic | | |*Quadratic Functions 3 | |

| |function using a table, y | | | | |

| |= ax2 + c | | | | |

| |*Using the quadratic | | | | |

| |function to model the | | | | |

| |height of an object – | | | | |

| |Example 1 | | | | |

|9-2 Quadratic Functions |Graphing a quadratic | | | | |

| |function, y = ax2 + bx +c| | | | |

| |*Using the quadratic | | | | |

| |function to model the | | | | |

| |height of an object – | | | | |

| |Example 2 | | | | |

|9-3 Solving Quadratic |*Solving quadratic | | | | |

|Equations |equations by graphing | | | | |

| |*Solving quadratic | | | | |

| |equations by using square | | | | |

| |roots | | | | |

|9-4 Factoring to Solve |*Solving quadratic | |Factoring Polynomials |Algebra | |

|Quadratic Equations |equations by factoring | |*Solving Equations Using the Zero Property |*Introduction to the Quadratic | |

| | | | |Equation | |

|9-5 Completing the Square|*Solving quadratic | | |Algebra | |

| |equations using completing| | |*Completing the Square | |

| |the square | | |Algebra I Worked Examples | |

| |*Solving quadratic | | |*Completing the Square 1 | |

| |equations using completing| | |*Completing the Square 2 | |

| |the square when a does not| | |*Completing the Square 3 | |

| |equal 1 | | |*Completing the Square 4 | |

|9-6 Quadratic Formula and|*Solving quadratic | |Quadratic Equations |Algebra | |

|Discriminant |equations using the | |*The Quadratic Formula |*Quadratic Equation part 2 | |

| |quadratic formula | | |Algebra I Worked Examples | |

| |*Solving real-world | | |*Quadratic Formula 1 | |

| |problems using the | | |*Quadratic Formula 2 | |

| |quadratic formula | | |*Quadratic Formula 3 | |

| |*Choosing the appropriate | | | | |

| |method to solve quadratic | | | | |

| |equations | | | | |

| |*Using the discriminant to| | | | |

| |find the number of | | | | |

| |solutions and solve | | | | |

| |problems | | | | |

|9-7 Linear, Quadratic, |*Modeling data using a | | | | |

|and Exponential Models |linear, quadratic, or | | | | |

| |exponential model – | | | | |

| |example 1 | | | | |

| |*Modeling data using a | | | | |

| |linear, quadratic, or | | | | |

| |exponential model – | | | | |

| |example 2 | | | | |

| | | |Word Problems |Algebra I Worked Examples | |

| | | |*Word Problems Modeled by Quadratic |*Applying Quadratic Functions 1 | |

| | | |Equations |*Applying Quadratic Functions 2 | |

| | | | |*Applying Quadratic Functions 3 | |

Chapter 10

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|10-1 Pythagorean Theorem |*Using the Pythagorean | |Word Problems |Algebra I Worked Examples | |

| |Theorem to find the | |*Pythagorean Theorem |*Pythagorean Theorem 1 | |

| |hypotenuse | | |*Pythagorean Theorem 2 | |

| |*Using the Pythagorean | | |*Pythagorean Theorem 3 | |

| |Theorem to find the leg | | | | |

| |*Using the converse of the| | | | |

| |Pythagorean Theorem | | | | |

|10-2 Simplifying Radicals|*Simplifying radical | |Roots & Radicals |Algebra I Worked Examples | |

| |expressions involving | |*Simplifying Radical Expressions |*Simplifying Radical Expressions 1 | |

| |products | | |*Simplifying Radical Expressions 2 | |

| |*Multiplying two radical | | |*Simplifying Radical Expressions 3 | |

| |expressions | | | | |

| |*Simplifying radicals by | | | | |

| |dividing | | | | |

| |*Simplifying radical | | | | |

| |expressions involving | | | | |

| |quotients, rationalize | | | | |

| |denominator | | | | |

|10-3 Operations with |*Simplifying radical sums | |Roots & Radicals | | |

|Radical Expressions |and differences | |*Adding & Subtracting Radical Expressions | | |

| |*Simplifying radical | | | | |

| |products and quotients | | | | |

| |using the distributive | | | | |

| |property | | | | |

| |*Simplifying radical | | | | |

| |products and quotients | | | | |

| |using FOIL | | | | |

| |*Simplifying radical | | | | |

| |expressions using | | | | |

| |conjugates | | | | |

| |*Solving proportions | | | | |

| |involving radical | | | | |

| |expressions | | | | |

|10-4 Solving Radical |*Solving radical equations| | |Algebra I Worked Examples | |

|Equations |by isolating the radical | | |*Solving Radical Equations 1 | |

| |*Using radical equations | | |*Solving Radical Equations 2 | |

| |to solve problems | | |*Solving Radical Equations 3 | |

| |*Identifying extraneous | | |*Applying Radical Equations 1 | |

| |solutions | | |*Applying Radical Equations 2 | |

| |*Identifying no solutions | | |*Applying Radical Equations 3 | |

|10-5 Graphing Square Root|*Finding the domain and | | | | |

|Functions |range of radical functions| | | | |

| |*Graphing radical | | | | |

| |functions | | | | |

| |*Graphing radical | | | | |

| |functions using a vertical| | | | |

| |translation | | | | |

| |*Graphing radical | | | | |

| |functions using a | | | | |

| |horizontal translation | | | | |

| | | |Struggling with the Basics? | | |

| | | |Roots & Radicals | | |

| | | |*Introduction to Roots & Radicals | | |

Chapter 11

|Lesson |Pearson |Montgomery College |Montgomery College |Khan Academy |Other |

| | |prealgebra |algebra | | |

|11-1 Simplifying Rational|*Simplifying a rational | |Rational Expressions |Algebra I Worked Examples | |

|Expressions |expression | |*Simplifying Rational Expressions |*Simplifying Rational Expressions 1 | |

| |*Simplifying a rational | | |*Simplifying Rational Expressions 2 | |

| |expression by recognizing | | |*Simplifying Rational Expressions 3 | |

| |opposite factors | | | | |

|11-2 x, / Rational |*Multiplying rational | |Rational Expressions |Algebra I Worked Examples | |

|Expressions |expressions using | |*Multiplying & Dividing Rational |*Multiplying and Dividing Rational | |

| |factoring | |Expressions |Expressions 1 | |

| |*Multiplying rational | | |*Multiplying and Dividing Rational | |

| |expressions by polynomials| | |Expressions 2 | |

| |*Dividing rational | | |*Multiplying and Dividing Rational | |

| |expressions by rational | | |Expressions 3 | |

| |expressions and | | | | |

| |polynomials | | | | |

|11-3 Divide Polynomials |*Dividing a polynomial by | | |Algebra | |

| |a monomial | | |*Algebraic Long Division | |

| |*Dividing a polynomial by | | | | |

| |a binomial | | | | |

| |*Dividing polynomials with| | | | |

| |a zero coefficient | | | | |

|11-4 +, - Rational |*Adding rational | |Rational Expressions |Algebra I Worked Examples | |

|Expressions |expressions with like | |*Algebraic Least Common Denominators |*Adding and Subtracting Rational | |

| |denominators | |*Adding & Subtracting Rational Expressions |Expressions 1 | |

| |*Subtracting rational | | |*Adding and Subtracting Rational | |

| |expressions with like | | |Expressions 2 | |

| |denominators | | |*Adding and Subtracting Rational | |

| |*Adding rational | | |Expressions 3 | |

| |expressions with unlike | | | | |

| |monomial denominators | | | | |

| |*Adding rational | | | | |

| |expressions with unlike | | | | |

| |polynomial denominators | | | | |

|11-5 Solving Rational |*Solving rational | |Rational Expressions |Algebra I Worked Examples | |

|Equations |equations | |*Solving Equations Containing Rational |*Solving Rational Equations 1 | |

| |*Solving rational | |Expressions |*Solving Rational Equations 2 | |

| |equations using factoring | | |*Solving Rational Equations 3 | |

| |*Solving a rational | | |*Applying Rational Equations 1 | |

| |proportion | | |*Applying Rational Equations 2 | |

| |*Solving a rational | | |*Applying Rational Equations 2 | |

| |proportion, checking for | | | | |

| |extraneous solutions | | | | |

|11-6 Inverse Variation |*Writing the equation of | | | | |

| |an inverse variation | | | | |

| |*Solving inverse | | | | |

| |variations | | | | |

| |*Determining direct or | | | | |

| |inverse variation | | | | |

| |*Determining whether | | | | |

| |real-world situations | | | | |

| |involve direct or inverse | | | | |

| |variation | | | | |

|11-7 Graphing Rational |*Graphing a rational | | | | |

|Functions |function using a vertical | | | | |

| |asymptote | | | | |

| |*Graphing a rational | | | | |

| |function using vertical | | | | |

| |and horizontal asymptotes | | | | |

| |*Describing the graph of | | | | |

| |different types of | | | | |

| |functions | | | | |

| | | |Struggling with the Basics | | |

| | | |*Domain Restrictions on Algebraic Fractions| | |

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