Algebra II High School Math Solution Alignment to Oklahoma Academic Standards

Transcription

1 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.N.1 Extend the understing of number operations to include complex numbers, matrices, radical expressions, expressions written with rational exponents A2.A.1 Represent solve mathematical real-world problems using nonlinear equations systems of linear equations; interpret the solutions in the original context. A2.N.1.1 A2.N.1.2 A2.N.1.3 A2.N.1.4 A2.A.1.1 Find the value of i^n for any whole number i. Simplify, add, subtract, multiply, divide complex numbers. Use matrices to organize represent data. Identify the order (dimension) of a matrix, add subtract matrices of appropriate dimensions, multiply a matrix by a scalar to create a new matrix to solve problems. Underst apply the relationship of rational exponents to integer exponents radicals to solve problems Represent real-world or mathematical problems using quadratic equations solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, the quadratic formula. Find non-real roots when they exist. * 1s 13: Solving Equations Inequalities 14: Real Number System 16: Mathematical 2.6 Now Its Getting Complex..But It s Really Not Difficult (165) 2.6 Now Its Getting Complex..But It s Really Not Difficult (165) 9.4 Keepin It Real (693) 9.5 Time to Operate (709) 12.4 Zeroing In (743) 12.5 What Makes You So Special (751) 12.7 Another Method (771) 13.1 Ladies Gentlemen: Please Welcome the Formula (789) 14.4 It s Not Complex -- Just It s Solutions are Complex (859) 16.3 Data Helps Us Make Predictions (947) 2.7 You Can t Spell Fundamental Theorem of Algebra Without F-U-N! (179) 8: Radical 2: Operations with Complex Numbers 2: Operations with Complex Numbers 1: Simplification Operations with Radicals 2: Radical with Variables 7: Equation Solving 3: Simplifying Powers of i 4: Adding Subtracting Complex Numbers 5: Multiplying Complex Numbers 1: Simplifying Radicals 2: Adding Subtracting Radicals 3: Multiplying Radicals 4: Dividing Radicals 1: Simplifying Radicals with Variables 2: Adding Subtracting Radicals with Variables 3: Multiplying Radicals with Radicals 1: Introduction to Solving Equations 2: Solving Equations by Factoring 3: Solving Equations High School Math Solution: Alignment to OAS 1

2 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.A.1 (cont d) A2.A.1.2 A2.A.1.3 A2.A.1.4 A2.A.1.5 A2.A.1.6 Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, population growth, solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically. Solve one-variable rational equations check for extraneous solutions Solve polynomial equations with real roots using various methods tools that may include factoring, polynomial division, synthetic division, graphing calculators or other appropriate technology Solve square root equations with one variable check for extraneous solutions Solve common natural logarithmic equations using the properties of logarithms. 5: 16: Mathematical 11: Equations 8: Solving Rational Equations 11: Equations 5.1 Go for the Curve! (295) 5.2 Downtown Uptown (305) 5.6 Checkmate! (347) 16.1 People, Tea, Carbon Dioxide (931) 10.1 Small Investment, Big Reward (739) 10.2 We Have Liftoff! (749) 11.1 All the Pieces of the Puzzle (811) 11.3 What s Your Strategy? (833) 8.3 Things are Not Always as They Appear (621) 8.4 Get to Work, Mix it Up, Go the Distance, 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) 4.5 Getting the Root of it All (363) 9.2 The Root of the Matter (675) 11.4 Logging On (845) 11.5 So When Will I Use This? (863) 9: Models 6: Rational 9: Models 1: 3: Rational Equations 4: Solving 2: Solve Equations with Base 2, 10, or e 1: Properties of Graphs 1: Solving Rational Equations that Result in Linear Equations 2: Solving Rational Equations that Result in 3: Solving Rational Equations with Extraneous Solutions 1: Factoring Higher Order 2: Applying the Remainder Theorem 1: Solving Base 2 Base 10 Equations (No Type In) 2: Solving Base 2 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) High School Math Solution: Alignment to OAS 2

3 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.A.1 (cont d) A2.A.1.7 A2.A.1.8 A2.A.1.9 Solve real-world mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the nth terms 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 solve using various methods that may include substitution, elimination, graphing (may include graphing calculators or other appropriate technology). Solve systems of equations containing one linear equation one quadratic equation using tools that may include graphing calculators or other appropriate technology 6: Sequences Series 13: Solving Equations Inequalities 6.1: Sequence - Not Just Another Glittery Accessory (465) 6.2: 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 (525) 2.5 What s the Point? (147) 13.4 You Must Have a System (829) 5: Sequences Series 1: Finite Geometric Series 1: Calculating the Sum of Finite Geometric Series 2: Using the Formula for Finite Geometric Series High School Math Solution: Alignment to OAS 3

4 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.A.2 Represent analyze mathematical situations structures using algebraic symbols using various strategies to write equivalent forms of expressions. A2.A.2.1 A2.A.2.2 A2.A.2.3 A2.A.2.4 Factor polynomial expressions including but not limited to trinomials, differences of squares, sum difference of cubes, factoring by grouping using a variety of tools strategies. Add, subtract, multiply, divide, simplify polynomial rational expressions Recognize that a quadratic function has different equivalent representations Identify use the representation that is most appropriate to solve real-world mathematical problems. Rewrite expressions involving radicals rational exponents using the properties of exponents. Equations 12: s Equations 8: Solving Rational 11: Introduction to 5.5 Radical! Because It s Cliché 12: s 4.3 The Factors of Life (343) 4.4 Break It Down (351) 12.1 Controlling the Population (703) 12.2 They re Multiplying by (717) 4.2 The Great Polynomial Divide (325) 8.1 There Must be a Rational Explanation (603) 8.2 Different Client, Same Deal (613) 11.1 Up Down or Down Up (617) 11.2 Just You 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) 11.7 More Than Meets the Eye (675) 2.1 Shapes Structure (89) 12.6 Could it Be Groovy to Be a Square? (761) 9.4 Keepin It Real (693) 9.5 Time to Operate (709) 9.6 Look to the Horizon (721) 6: Rational 2: Linear 8: Radical 4: Solving Operations Operations 2: Rational 6: Forms of s 1: Forms of 7: Rational Exponents 1: Simplification Operations with Radicals 2: Radical with Variables 1: Factoring Higher Order 1: Introduction to Polynomial Arithmetic 2: Adding 3: Subtracting 4: Using a Factor Table to Multiply 5: Multiplying 1: Adding with Higher Orders 3: Multiplying Long Division 5: Synthetic Division 1: Simplifying Rational 2: Multiplying Dividing Rational 3: Adding Subtracting Rational 1: Identifying Properties of 2: Converting s to General Form 3: Converting s to Factored Form 5: Comparing in Different Forms 1: Properties of Rational Exponents 2: Rewriting with Radical Rational Exponents 1: Simplifying Radicals 2: Adding Subtracting Radicals 3: Multiplying Radicals 4: Dividing Radicals 1: Simplifying Radicals with Variables 2: Adding Subtracting Radicals with Variables 3: Multiplying Radicals with Radicals High School Math Solution: Alignment to OAS 4

5 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.F.1 Underst functions as descriptions of covariation (how related quantities vary together). A2.F.1.1 Use algebraic, interval, set notations to specify the domain range of functions of various types evaluate a function at a given point in its domain. 1: Quantities 11: Introduction to 15: Other Inverses Equations 7: Rational 1.2 A Sort of Sorts (17) 1: Relating Quantities Reasoning with 11.3 Walking the Curve? (637) Equations 15.4 Taking the Egg Plunge(909) 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) 9.2 The Root of the Matter (675) 9.3 Making Waves (685) 2: Linear 1: Function Overview 1: Function Overview 4: 2: Graphs of 6: Identifying Key Characteristics of Graphs of 2: Relating Domain to 1: Identifying Key Characteristics of Graphs of 12: 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) High School Math Solution: Alignment to OAS 5

6 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.F.1 (cont d) A2.F.1.2 A2.F.1.3 A2.F.1.4 Recognize the graphs of exponential, radical (square root cube root only), quadratic, logarithmic functions. Predict the effects of transformations algebraically graphically, using various methods tools that may include graphing calculators or other appropriate technology. Graph a quadratic function. Identify the x- y-intercepts, maximum or minimum value, axis of symmetry, vertex using various methods tools that may include a graphing calculator or appropriate technology. Graph exponential logarithmic functions. Identify asymptotes x- y-intercepts using various methods tools that may include graphing calculators or other appropriate technology. Recognize exponential decay growth graphically algebraically. 5: 11: Introduction to 11: Introduction to 5: 5.3 Let the Transformations Begin! (313) 5.4 Take Some Time to Reflect (327) 11.7 Transformations of (675) 2.2 Function Sense (109) 2.3 Up Down (119) 2.4 Side to Side (133) 9.3 Making Waves (685) 10.3 I Like to Move It (763) 10.5 More Than Meets the Eye (787) 11.1 Up Down or Down Up (617) 11.2 Just You I (625) 11.3 Walking the Curve? (637) 11.4 Are You Afraid of Ghosts? (645) 11.5 Just Watch That Pumpkin Fly! (653) 11.6 The Form is Key (661) 2.1 Shape Structure (89) 5.1 Go for the Curve! (295) 5.2 Downtown Uptown (305) 10.1 Small Investment, Big Reward (739) 10.2 We Have Liftoff! (749) 10.4 I Feel the Earth Move (773) 2: Linear 2: Linear 9: Models 6: Linear Transformations 3: Linear Transformations 1: Forms of Models in General Form 1: Forms of 4: 1: 1: Introduction to Transforming 2: Shift Vertically 3: Reflecting Dilating Using Graphs 4: Shifting Horizontally 5: Transforming using Tables of Values 6: Using Multiple Transformations 1: Shift Vertically 2: Reflecting Dilating Using Graphs 3: Shifting Horizontally 4: Transforming using Tables of Values : Using Multiple Transformations 4: Transformations 2: Recognizing Key Features of Projectile Motion Graphs 1: Examining the Shape Structure of 1: Introduction to 5: Comparing in Different Forms 1: Properties of Graphs 2: Introduction to High School Math Solution: Alignment to OAS 6

7 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.F.1 (cont d) A2.F.1.5 A2.F.1.6 A2.F.1.7 A2.F.1.8 Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, intervals of increase decrease. Graph a rational function identify the x- y-intercepts, vertical horizontal asymptotes, using various methods tools that may include a graphing calculator or other appropriate technology. (Excluding slant or oblique asymptotes holes.) Graph a radical function (square root cube root only) identify the x- y-intercepts using various methods tools that may include a graphing calculator or other appropriate technology Graph piecewise functions with no more than three branches (including linear, quadratic, or exponential branches) analyze the function by identifying the domain, range, intercepts, intervals for which it is increasing, decreasing, constant. Equations 5: Polynomial 7: Rational 15: Other Inverses 16: Mathematical 5: Polynomial 3.3 Function Makeover (239) 3.4 Polynomial DNA (261) 4.1 Don t Take This Out of Context (317) 5.5 The Choice is Yours (445) 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) 6: Rational 9.2 The Root of the Matter (675) 7: Inverse 15.1 I Graph In Pieces (877) 16.5 Cell Phone Batteries, Gas Prices, Single Family Homes (963) 5.3 Connecting Pieces (425) 4: Other 2: Graphs of Polynomial 1: Rational 1: Inverse 1: Piecewise 1: Classifying Polynomial 2: Interpreting Key Features of Graphs in Terms of Quantities 3: Identifying Key Characteristics of Polynomial 4: Identifying Zeros of 5: Use Zeros to Sketch a Graph of 6: 1: Introduction to Rational 2: Ratios as Rational 4: Graphing Square Root 5: Graphing Cube Root 1: Introduction to Piecewise 2: Graphing Linear Piecewise 3: Using Linear Piecewise High School Math Solution: Alignment to OAS 7

8 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.F.2 Analyze functions through algebraic combinations, compositions, inverses, if they exist. A2.D.1 Display, describe, compare data. For linear nonlinear relationships, make predictions assess the reliability of those predictions. A2.F.2.1 Add, subtract, multiply, divide functions using function notation recognize domain restrictions. A2.F.2.2 Combine functions by composition. A2.F.2.3 A2.F.2.4 A2.D.1.1 A2.D.1.2 A2.D.1.3 Find graph the inverse of a function, if it exists, in real-world mathematical situations. Know that the domain of a function f is the range of the inverse function, the range of the function f is the domain of the inverse function. Apply the inverse relationship between exponential logarithmic functions to convert from one form to another. Use the mean stard deviation of a data set to fit it to a normal distribution (bell-shaped curve) Collect data use scatterplots to analyze patterns describe linear, exponential or quadratic relationships between two variables. Using graphing calculators or other appropriate technology, determine regression equation correlation coefficients; use regression equations to make predictions correlation coefficients to assess the reliability of those predictions. Based upon a real-world context, recognize whether a discrete or continuous graphical representation is appropriate then create the graph. 12: Mathematical 12: Mathematical 15: Other Inverses 15: Other Inverses Function 11: Equations 15: Interpret Data in Normal Distributions 3: Linear 9: Correlation Residuals 16: Mathematical 5: Polynomial 1: Quantities 12.1 It s Not New, It s Recycled (883) 12.1 It s Not New, It s Recycled (883) 15.3 The Inverse Undoes What a Function Does (895) 15.3 The Inverse Undoes What a Function Does (895) 15.4 Taking the Egg Plunge! (909) 9.1 With Great Power (663) 10.4 I Feel the Earth Move (773) 11.1 All the Pieces of the Puzzle (811) 15.1 Recharge It! (1073) 15.2 #I monline (1083) 3.1 Is It Getting Hot in Here? (163) 9.2 Gotta Keep It Correlatin (533) 9.5 Who Are You? Who? Who? (563) 16.4 BAC is BAD News (957) 2.5 What s the Point? (147) 5.4 Gig (439) 1.2 A Sort of Sorts (17) 5: Inverses of 11: Interpreting Data Operations 2: Composition of 1: Interpreting Data in Normal Distributions 7: Equation Solving 2: Adding Subtracting Stard Function Types 1: with Linear Function Composition 2: Composing Linear 1: Normal Distributions 4: Using Regression Models High School Math Solution: Alignment to OAS 8

9 High School Math Solution Alignment to Oklahoma Academic Stards Cluster Stard Description Course Chapter A2.D.2 Analyze statistical thinking to draw inferences, make predictions, justify conclusions. A2.D.2.1 A2.D.2.2 Evaluate reports based on data published in the media by identifying the source of the data, the design of the study, the way the data are analyzed displayed. Given spreadsheets, tables, or graphs, recognize analyze distortions in data displays. Show how graphs data can be distorted to support different points of view. Identify explain misleading uses of data. Recognize when arguments based on data confuse correlation causation. 16: Making Inference Justifying Conclusions 9: Correlation Residuals 16.1 For Real (1119) 16.2 Circle Up (1127) 9.5 Who Are You? Who? Who? (563) High School Math Solution: Alignment to OAS 9