CL Algebra II Alignment to OAS. CL Algebra II Alignment to OAS
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1 CL Alignment to OAS A2.N.1.1 Find the value of i^n for any whole number i. 2: Quadratic 2.6 Now Its Getting Complex..But It's Really Not Difficult (165) 2: Quadratic 2: Operations with Complex Numbers 3: Simplifying Powers of i A2.N.1 Extend the understanding of number and operations to include complex numbers, matrices, radical expressions, and expressions written with rational exponents A2.N.1.2 A2.N.1.3 A2.N.1.4 Simplify, add, subtract, multiply, and divide complex numbers. Use matrices to organize and represent data. Identify the order (dimension) of a matrix, add and subtract matrices of appropriate dimensions, and multiply a matrix by a scalar to create a new matrix to Understand and apply the relationship of rational exponents to integer exponents and radicals to solve problems 2.6 Now Its Getting Complex..But 2: Quadratic It's Really Not Difficult (165) 9.4 Keepin' It Real (693) 9: Radical Expressions 9.5 Time to Operate (709) 2: Quadratic 8: Radical Expressions 2: Operations with Complex Numbers 1: Simplification and Operations with 2: Radical Expressions with Variables 4: Adding and Subtracting Complex Numbers 5: Multiplying Complex Numbers 1: Simplifying 2: Adding and Subtracting 3: Multiplying 4: Dividing 1: Simplifying with Variables 2: Adding and Subtracting with Variables 3: Multiplying with 12.4 Zeroing In (743) A2.A : Quadratics and Polynomials Represent real-world or mathematical problems using 13: Solving Quadratic Equations and Inequalities quadratic equations and solve using various methods (including graphing calculator or other 14: Real Number System appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real 16: Mathematical Modeling roots when they exist What Makes You So Special (751) 12.7 Another Method (771) 13.1 Ladies and Gentlemen: Please Welcome the Quadratic Formula (789) 14.4 It's Not Complex -- Just It's Solutions are Complex (859) 16.3 Modeling Data Helps Us Make Predictions (947) 7: Quadratic Equation Solving 1: Introduction to Solving Quadratic Equations 2: Solving Quadratic Equations by Factoring 3: Solving Quadratic Equations 2.7 You Can't Spell "Fundamental 2: Quadratic Theorem of Algebra" Without F-U- N! (179) A2.A.1.2 Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically. 5: Exponential 16: Mathematical Modeling 11: Exponential and Logarithmic Expressions and Equations 5.1 Go for the Curve! (295) 5.2 Downtown and Uptown (305) 5.6 Checkmate! (347) 16.1 People, Tea, and Carbon Dioxide (931) 10.1 Small Investment, Big Reward (739) 10.2 We Have Liftoff! (749) 9: Exponential Models 11.1 All the Pieces of the Puzzle (811) 11.3 What's Your Strategy? (833) 1: Exponential and Logarithmic 1: Properties of Exponential Graphs CL Alignment to OAS
2 CL Alignment to OAS A2.A.1 Represent and solve mathematical and real-world problems using nonlinear equations and systems of linear equations; interpret the solutions in the original context. A2.A.1.3 A2.A.1.4 A2.A.1.5 A2.A.1.6 A2.A.1.7 A2.A.1.8 A2.A.1.9 A2.A.2.1 Solve one-variable rational equations and check for extraneous solutions Solve polynomial equations with real roots using various methods and tools that may include factoring, polynomial division, synthetic division, graphing calculators or other appropriate Solve square root equations with one variable and check for extraneous solutions Solve common and natural logarithmic equations using the properties of logarithms. Solve real-world and mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the nth terms and sum formulas. Graphing calculators or other appropriate technology may be used. Represent real-world or mathematical problems using systems of linear equations with a maximum of three variables and solve using various methods that may include substitution, elimination, and graphing (may include Solve systems graphing of equations calculators or containing one linear equation and one quadratic equation using tools that may include graphing calculators or other appropriate technology Factor polynomial expressions including but not limited to trinomials, differences of squares, sum and difference of cubes, and factoring by grouping using a 8: Solving Rational Expressions 8.3 Things are Not Always as They Appear (621) 8.4 Get to Work, Mix it Up, Go the Distance, and Lower the Cost! (641) 4.1 Don't Take This Out of Context (317) 4.2 The Great Polynomial Divide (325) 4.3 The Factors of Life (343) 4.4 Break It Down (351) 9: Radical 9.2 The Root of the Matter (675) 11: Exponential and Logarithmic Expressions and Equations 6: Sequences and Series 6: Rational Expressions and 11.4 Logging On (845) 9: Exponential Models 11.5 So When Will I Use This? (863) 6.1: Sequence - Not Just Another Glittery Accessory (465) 2: This is Series(ous) Buisness (473) 6.3 I Am Having a Series Craving (For Some Math)! (487) 6.4 These Series Just Go On And On And On (499) 6.5 The Power of Interest (It's a Curious Thing) (511) 6.6 A Series of Fortunate Events 2: Quadratic 2.5 What's the Point? (147) 13: Solving Quadratic Equations and Inequalities 13.4 You Must Have a System (829) 4.3 The Factors of Life (343) 4.4 Break It Down (351) 3: Rational Equations 3: Polynomial 4: Solving Polynomials 5: Sequences and Series 2: Solve Equations with Base 2, 10, or e 1: Finite Geometric Series 3: Polynomial 4: Solving Polynomials 1: Solving Rational Equations that Result in Linear Equations 2: Solving Rational Equations that Result in Quadratic Expressions 3: Solving Rational Equations 1: Factoring Higher Order Polynomials 2: Applying the Remainder Theorem 1: Solving Base 2 and Base 10 Equations (No Type In) 2: Solving Base 2 and Base 10 Equations (Type In) 3: Solving Base e Equations (No Type In) 4: Solving Base e Equations (Type in) 5: Solving Any Base Equations (No Type In) 6: Solving Any Base Equations (Type In) 1: Calculating the Sum of Finite Geometric Series 2: Using the Formula for Finite Geometric Series 1: Factoring Higher Order Polynomials CL Alignment to OAS
3 CL Alignment to OAS 1: Introduction to Polynomial 12: Polynomials and Quadratics 12.1 Controlling the Population (703) 12.2 They're Multiplying by Polynomials (717) 4: Polynomial Operations Arithmetic 2: Adding Polynomials 3: Subtracting Polynomials 4: Using a Factor Table to Multiply Polynomials 5: Multiplying Polynomials A2.A.2 Represent and analyze mathematical situations and structures using algebraic symbols using various strategies to write equivalent forms of expressions. A2.A.2.2 A2.A.2.3 A2.A.2.4 Add, subtract, multiply, divide, and simplify polynomial and rational expressions 8: Solving Rational Expressions Recognize that a quadratic function has different equivalent representations Identify and use the 11: Introduction to Quadratic representation that is most appropriate to solve real-world and mathematical problems. 1: Adding Polynomials with Higher Orders 4.2 The Great Polynomial Divide 3: Polynomial 3: Polynomial 3: Multiplying Polynomials (325) Operations 4: Polynomial Long Division 5: Synthetic Division 1: Simplifying Rational 8.1 There Must be a Rational Expressions Explanation (603) 6: Rational Expressions 2: Multiplying and Dividing 8.2 Different Client, Same Deal 2: Rational Expressions and Rational Expressions (613) 3: Adding and Subtracting Rational Expressions 11.1 Up and Down or Down and 1: Identifying Properties of Up (617) 11.2 Just You and I (625) 11.4 Are You Afraid of Ghosts? (645) 11.5 Just Watch That Pumpkin Fly (653) 11.6 The Form is "Key" (661) 2: Quadratic 2.1 Shapes and Structure (89) 2: Quadratic 5.5 Radical! Because It's Cliché 12.6 Could it Be Groovy to Be a 12: Polynomials and Quadratics Square? (761) Rewrite expressions involving radicals and rational exponents using the properties of exponents. 9.4 Keepin' It Real (693) 9.5 Time to Operate (709) 9: Radical 9.6 Look to the Horizon (721) Quadratic 2: Converting Quadratics to General Form 6: Forms of Quadratics 3: Converting Quadratics to Factored Form 5: Comparing Quadratic 2: Linear and Exponential Relationships 8: Radical Expressions in Different Forms 1: Forms of Quadratic 2: Quadratic Modeling 1: Properties of Rational Exponents 7: Rational Exponents 2: Rewriting Expressions with Radical and Rational Exponents 1: Simplifying 1: Simplification and 2: Adding and Subtracting Operations with 3: Multiplying 4: Dividing 1: Simplifying with Variables 2: Radical Expressions 2: Adding and Subtracting with Variables with Variables 3: Multiplying with 1: Quantities and Relationships 1.2 A Sort of Sorts (17) 11: Introduction to Quadratic 11.3 Walking the Curve? (637) 15: Other and Inverses 15.4 Taking the Egg Plunge(909) 1: Relating Quantities and 1: Function Overview Reasoning with Equations 2: Linear and Exponential 4: Exponential Relationships 6: Identifying Key Characteristics of Graphs of 2: Relating Domain to Exponential CL Alignment to OAS
4 CL Alignment to OAS 3: Polynomial Use algebraic, interval, and set notations to specify the domain and A2.F.1.1 range of functions of various types and evaluate a function at a given 7: Rational point in its domain. 9: Radical 3.1 Planting the Seeds (207) 3.4 Polynomial DNA (261) 4.6 Exploring Polynomial Identities (371) 7.1 A Rational Existence (541) 7.2 A Rational Shift in Behavior (553) 7.3 A Rational Approach (563) 7.5 The Breaking Point (584) 1: Identifying Key 9.2 The Root of the Matter (675) 1: Function Overview 2: Graphs of Characteristics of Graphs of 9.3 Making Waves (685) 12: Modeling with 10.2 We Have Liftoff! (749) 10.4 I Feel the Earth Move (773) 10.5 More Than Meets the Eye (787) 12.1 It's Not New, It's Recycled (883) 12.6 Grab Bag (941) 1: Introduction to Transforming A2.F.1.2 5: Exponential Recognize the graphs of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations 11: Introduction to Quadratic algebraically and graphically, using various methods and tools that may include graphing calculators or other appropriate technology. 2: Quadratic 5.3 Let the Transformations Begin! (313) 2: Linear and Exponential 5.4 Take Some Time to Reflect Relationships (327) 11.7 Transformations of Quadratic (675) 2.2 Function Sense (109) 2.3 Up and Down (119) 2: Quadratic 2.4 Side to Side (133) 6: Linear and Exponential Transformations 3: Linear and Quadratic Transformations 1: Forms of Quadratic 2: Shift Vertically 3: Reflecting and Dilating Using Graphs 4: Shifting Horizontally 5: Transforming using Tables of Values 6: Using Multiple 1: Shift Vertically 2: Reflecting and Dilating Using Graphs 3: Shifting Horizontally 4: Transforming using Tables of Values 5: Using Multiple Transformations 4: Quadratic Transformations 9: Radical 9.3 Making Waves (685) A2.F.1 Understand functions as descriptions of covariation (how related quantities vary together). A2.F I Like to Move It (763) 10.5 More Than Meets the Eye (787) Graph a quadratic function. Identify the x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include 11: Introduction to Quadratic 11.1 Up and Down or Down and Up (617) 11.2 Just You and I (625) 11.3 Walking the Curve? (637) 11.4 Are You Afraid of Ghosts? (645) 11.5 Just Watch That Pumpkin Fly! a graphing calculator or appropriate technology. 2: Quadratic 2.1 Shape and Structure (89) 2: Quadratic 2: Recognizing Key Features 2: Quadratic Models in of Projectile Motion Graphs General Form 1: Examining the Shape and 1: Forms of Quadratic Structure of Quadratic CL Alignment to OAS
5 CL Alignment to OAS Graph exponential and logarithmic functions. Identify asymptotes and 5: Exponential x- and y-intercepts using various methods and tools that may include A2.F.1.4 graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically. 1: Introduction to 5.1 Go for the Curve! (295) 2: Linear and Exponential 4: Exponential Exponential 5.2 Downtown and Uptown (305) Relationships 5: Comparing Exponential in Different Forms 10.1 Small Investment, Big Reward 1: Properties of Exponential (739) 1: Exponential and Graphs 9: Exponential Models 10.2 We Have Liftoff! (749) Logarithmic 2: Introduction to 10.4 I Feel the Earth Move (773) Logarithmic A2.F.2 Analyze 3.3 Function Makeover (239) Analyze the graph of a polynomial 3: Polynomial 3.4 Polynomial DNA (261) function by identifying the domain, 2: Graphs of A2.F.1.5 range, intercepts, zeros, relative 3: Polynomial maxima, relative minima, and intervals of increase and decrease. Polynomial 4.1 Don't Take This Out of Context (317) 5: Polynomial 5.5 The Choice is Yours (445) Graph a rational function and identify the x- and y-intercepts, vertical and horizontal asymptotes, 7.1 A Rational Existence (541) 7.2 A Rational Shift in Behavior A2.F.1.6 using various methods and tools that may include a graphing calculator or other appropriate technology. (Excluding slant or 7: Rational (553) 7.3 A Rational Approach (563) 7.5 The Breaking Point (584) 6: Rational Expressions and 1: Rational Graph a radical function (square root and cube root only) and identify the x- and y-intercepts 9.2 The Root of the Matter (675) A2.F.1.7 9: Radical 7: Inverse 1: Inverse using various methods and tools that may include a graphing calculator or other 15: Other and Inverses 15.1 I Graph In Pieces (877) Graph piecewise functions with no more than three branches 16.5 Cell Phone Batteries, Gas (including linear, quadratic, or 16: Mathematical Modeling Prices, and Single Family Homes exponential branches) and analyze (963) A2.F.1.8 the function by identifying the domain, range, intercepts, and intervals for which it is increasing, 5: Polynomial 5.3 Connecting Pieces (425) 4: Other 1: Piecewise decreasing, and constant. Add, subtract, multiply, and divide 12.1 It's Not New, It's Recycled 3: Polynomial A2.F.2.1 functions using function notation 12: Mathematical Modeling (883) 3: Polynomial Operations and recognize domain restrictions It's Not New, It's Recycled 12: Mathematical Modeling 3: Polynomial (883) A2.F.2.2 Combine functions by composition The Inverse Undoes What a 2: Composition of 15: Other and Inverses 5: Inverses of Function Does (895) 1: Classifying Polynomial 2: Interpreting Key Features of Graphs in Terms of Quantities 3: Identifying Key Characteristics of Polynomial 4: Identifying Zeros of 1: Introduction to Rational 2: Modeling Ratios as Rational 4: Graphing Square Root 5: Graphing Cube Root 1: Introduction to Piecewise 2: Graphing Linear Piecewise 3: Using Linear Piecewise 2: Adding and Subtracting Standard Function Types 1: Modeling with Linear Function Composition 2: Composing Linear CL Alignment to OAS
6 CL Alignment to OAS Cluster A2.F.2 Analyze Standard Description Course Chapter functions through algebraic Find and graph the inverse of a combinations, function, if it exists, in real-world 15: Other and Inverses compositions, and and mathematical situations. Know inverses, if they exist. A2.F.2.3 that the domain of a function f is A2.F.2.4 the range of the inverse function, and the range of the function f is the domain of the inverse function. Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another The Inverse Undoes What a Function Does (895) 15.4 Taking the Egg Plunge! (909) 9: Radical Function 9.1 With Great Power (663) 11: Exponential and Logarithmic Expressions and Equations 10.4 I Feel the Earth Move (773) 11.1 All the Pieces of the Puzzle (811) Use the mean and standard A2.D.1.1 deviation of a data set to fit it to a normal distribution (bell-shaped curve) 15: Interpret Data in Normal Distributions 15.1 Recharge It! (1073) 15.2 #I'mOnline (1083) 11: Interpreting Data 1: Interpreting Data in Normal Distributions 1: Normal Distributions A2.D.1 Display, describe, and compare data. For linear and nonlinear relationships, make predictions and assess the reliability of those predictions. A2.D.2 Analyze statistical thinking to draw inferences, make predictions, and justify conclusions. A2.D.1.2 A2.D.1.3 A2.D.2.1 A2.D.2.2 Collect data and use scatterplots to analyze patterns and describe 3: Linear 3.1 Is It Getting Hot in Here? (163) linear, exponential or quadratic relationships between two 9.2 Gotta Keep It Correlatin' (533) 9: Correlation and Residuals variables. Using graphing 9.5 Who Are You? Who? Who? (563) calculators or other appropriate technology, determine regression 16: Mathematical Modeling 16.4 BAC is BAD News (957) equation and correlation coefficients; use regression 2: Quadratic 2.5 What's the Point? (147) equations to make predictions and 5: Polynomial 5.4 Modeling Gig (439) correlation coefficients to assess Based upon a real-world context, recognize whether a discrete or continuous graphical 1: Quantities and Relationships 1.2 A Sort of Sorts (17) representation is appropriate and then create the graph. Evaluate reports based on data published in the media by identifying the source of the data, the design of the study, and the way 16.1 For Real (1119) the data are analyzed and 16: Making Inference and Justifying Conclusions 16.2 Circle Up (1127) displayed. Given spreadsheets, tables, or graphs, recognize and analyze distortions in data displays. Show how graphs and data can be Identify and explain misleading uses of data. Recognize when arguments 9: Correlation and Residuals 9.5 Who Are You? Who? Who? (563) based on data confuse correlation and causation. 7: Quadratic Equation Solving 4: Using Regression Models CL Alignment to OAS
CL Algebra II Alignment to OAS. Page 1 of 8
CL Alignment to OAS OKLAHOMA ACADEMIC STANDARDS CARNEGIE LEARNING TEXTBOOK MATHia A2.N.1.1 Find the value of i^n for any whole number i. 2: Quadratic 2.6 Now Its Getting Complex..But It's Really Not Difficult
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