N E W Y O R K High School Algebra Tutorial This map correlates the individual topics of the High School Algebra Tutorial to specific Common Core State Standards. For more detailed information about these standard codes, please visit the official website of the Common Core State Standards Initiative. Unit Lesson Topic CCSS Working with What Is an Expression? CCSS.Math.Content.HSA.SSE.A.1.a Working with Evaluating CCSS.Math.Content.HSA.SSE.A.1.a Working with Writing and Interpreting CCSS.Math.Content.HSA.SSE.A.1.b Involving Exponents What Is An Exponent? Involving Exponents Multiplying with Exponents Involving Exponents Dividing with Exponents Involving Exponents What Do You Do With Exponents When You Raise a Quantity to a Power? Involving Exponents Simplifying Exponential Involving Exponents Applications Quadratic What Is Factoring? Quadratic Factoring Strategies Quadratic Factoring Using the Trinomial Method I Coefficient of First Term is One Quadratic Factoring Using the Trinomial Method II Coefficient of First Term is Other Than One Quadratic Factoring Using the Difference of Two Squares Method Quadratic Factoring Quadratic That Require More Than One Method Quadratic Difference of Squares in Disguise Quadratic Quadratic-Like CCSS.Math.Content.HSA.SSE.B.3.a Quadratic Factoring Quadratic-Like CCSS.Math.Content.HSA.SSE.B.3.a Quadratic Completing the Square CCSS.Math.Content.HSA.SSE.B.3.b Higher-Order Factoring Sums and Difference of Cubes CCSS.Math.Content.HSA.SSE.B.3.a Higher-Order Cubic-Like CCSS.Math.Content.HSA.SSE.B.3.a Higher-Order Beyond Cubic CCSS.Math.Content.HSA.SSE.B.3.a
Finite Geometric Series What is a Finite Geometric Series? CCSS.Math.Content.HSA.SSE.B.4 Finite Geometric Series Sum of a Finite Geometric Series CCSS.Math.Content.HSA.SSE.B.4 Polynomial and Rational Arithmetic of Polynomials What is a Polynomial? CCSS.Math.Content.HSA.APR Polynomial and Rational Arithmetic of Polynomials Addition and Subtraction of Polynomials CCSS.Math.Content.HSA.APR.A.1 Polynomial and Rational Arithmetic of Polynomials Multiplying a Polynomial by a Monomial CCSS.Math.Content.HSA.APR.A.1 Polynomial and Rational Arithmetic of Polynomials Multiplying a Binomial by a Binomial CCSS.Math.Content.HSA.APR.A.1 Polynomial and Rational Arithmetic of Polynomials Multiplying a Binomial by a Trinomial CCSS.Math.Content.HSA.APR.A.1 Polynomial and Rational Factors of Polynomials Zeros, Factors, and Intercepts CCSS.Math.Content.HSA.APR.B.2 Polynomial and Rational Factors of Polynomials Basic of Polynomial Graphing CCSS.Math.Content.HSA.APR.B.3 Polynomial and Rational Polynomial Identities Proving Polynomial Identities CCSS.Math.Content.HSA.APR.C.4 Polynomial and Rational Polynomial Identities Pascal s Triangle CCSS.Math.Content.HSA.APR.C.5 Polynomial and Rational Polynomial Identities Binomial Theorem CCSS.Math.Content.HSA.APR.C.5 Polynomial and Rational Rational What Is a Rational Expression? CCSS.Math.Content.HSA.APR.D.6 Polynomial and Rational Rational When Is a Rational Expression Defined? CCSS.Math.Content.HSA.APR.D.6 Polynomial and Rational Rational Long Division of Polynomials and the Remainder Theorem CCSS.Math.Content.HSA.APR.D.6 Polynomial and Rational Rational Simplifying a Rational Expression CCSS.Math.Content.HSA.APR.D.6 Polynomial and Rational Rational Multiplying and Dividing Two or More Fractions Polynomial and Rational Rational Multiplying Two or More Rational Polynomial and Rational Rational Dividing Two Rational Polynomial and Rational Rational Adding and Subtracting Two or More Fractions Polynomial and Rational Rational Adding and Subtracting Two or More Rational with the Same Denominator Polynomial and Rational Rational Adding and Subtracting Two Rational with Unlike Denominators Polynomial and Rational Rational Adding and Subtracting More Than Two Rational with Unlike Denominators Creating Creating in Creating Linear Creating Creating in Creating Linear Inequalities Creating Creating in Creating Quadratic Creating Creating in Creating Simple Rational Creating Creating in Creating Exponential
Creating Creating in Creating Linear in Creating Creating in Creating Quadratic in Creating Creating in Creating Exponential in Two Variables Creating Creating Systems of Creating 2 2 Systems of Linear CCSS.Math.Content.HSA.CED.A.3 Creating Creating Systems of Creating 3 3 Systems of Linear CCSS.Math.Content.HSA.CED.A.3 Creating Creating Systems of Creating 2 2 Systems of Nonlinear CCSS.Math.Content.HSA.CED.A.3 Creating Creating Systems of Creating 2 2 Systems of Linear Inequalities CCSS.Math.Content.HSA.CED.A.3 Solving Linear in What Is a Linear Equation? Solving Linear in Solving Linear Involving One Step Solving Linear in Solving Linear Involving Two Steps Solving Linear in Solving Linear with Variables on Both Sides of the Equals Sign Solving Linear in Using the Distributive Property to Solve Linear Solving Linear in Solving More Challenging Linear Solving Linear in Solving Linear Involving Multiple Grouping Symbols Solving Linear in Linear Without a Variable in the Answer Solving Linear in Solving Literal Solving Linear in Applications Solving Linear Inequalities in Solving Linear Inequalities Involving One Step Solving Linear Inequalities in Solving Linear Inequalities Involving Two Steps Solving Linear Inequalities in Solving More Challenging Linear Inequalities Solving Linear Inequalities in Linear Inequalities Without a Variable in the Answer Solving Linear Inequalities in Linear Inequalities Involving Parameters Solving Linear Inequalities in Applications Solving Linear Graphically What Is a Graph? Solving Linear Graphically What Are the Slope and y-intercept of a Line? Solving Linear Graphically Slope-Intercept Form of a Line Solving Linear Graphically Graphing a Line Using Slope-Intercept Form Solving Linear Graphically Solving Linear Graphically
Solving Quadratic What Is a Quadratic Equation? Solving Quadratic Solving Quadratic Using Factoring I Solving Quadratic Solving Quadratic Using Factoring II Solving Quadratic Solving Quadratic Using the Radical Method Solving Quadratic Solving Quadratic Using Completing the Square Solving Quadratic What Is the Quadratic Formula? Solving Quadratic Solving Quadratic Using the Quadratic Formula Solving Quadratic Quadratic with Imaginary Solutions Solving Quadratic Solving Quadratic Graphically Solving Quadratic Applications Solving Simple Rational What Is a Rational Equation, and How Do You Solve One? Solving Simple Rational Solving Rational I The Linear Case Solving Simple Rational Solving Rational II The Quadratic Case Solving Simple Rational Rational with Extraneous Roots Solving Simple Rational Solving Rational Graphically Solving Simple Rational Applications Solving Radical What Is a Radical Equation? Solving Radical Solving Basic Radical Solving Radical Radical with No Solutions Solving Radical Radical Resulting in a Quadratic Equation Solving Radical Radical Involving Two Radicals Solving Radical Solving Radical Graphically Solving Radical Applications Solving Simple Exponential Logarithms Using Logarithms to Solve Exponential Solving Simple Logarithmic Properties of Logarithms and Their Use in Solving
Graphically Applications Solving Systems of Linear What Is a System of Linear? Solving Systems of Linear Solving Systems of Linear Algebraically The Elimination Method I Solving Systems of Linear Solving Systems of Linear Algebraically The Elimination Method II Solving Systems of Linear Solving Systems of Linear Algebraically The Substitution Method Solving Systems of Linear Systems of Linear with No Solution or Infinitely Many Solutions Solving Systems of Linear Solving 2 2 Linear Systems Graphically I One Solution Solving Systems of Linear Solving 2 2 Linear Systems Graphically II No Solution Solving Systems of Linear Solving 2 2 Linear Systems Graphically III Infinitely Many Solutions Solving Systems of Linear Solving 3x3 Linear Systems Solving Systems of Linear Applications Solving 2x2 Systems Involving Nonlinear 2 2 Systems Comprised of a Line and a Parabola CCSS.Math.Content.HSA.REI.C.7, Solving 2x2 Systems Involving Nonlinear 2 2 Systems Comprised of a Line and a Circle CCSS.Math.Content.HSA.REI.C.7, Matrix Methods for Solving Linear Systems Formulating a Linear System as a Matrix Equation CCSS.Math.Content.HSA.REI.C.8, Matrix Methods for Solving Linear Systems Determinant and Inverse of a 2x2 Matrix CCSS.Math.Content.HSA.REI.C.8, Matrix Methods for Solving Linear Systems Solving Linear Systems Using Matrix Methods CCSS.Math.Content.HSA.REI.C.8, Graphing a Linear Inequality Special Cases Solving a System of Linear Inequalities I Solving a System of Linear Inequalities II Systems of Linear Inequalities with No Solution Real-World Applications Involving Linear Inequalities