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CHAPTER |
PH.P. |
Chapter P: Prerequisites |
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SECTION |
PH.P.1. |
Ch P Section 1: Real Numbers |
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LESSON |
PH.P.1.1. |
Ch P Sec 1 Lesson 1: Representing Real Numbers (pp. 2 - 3) materials correlated to this standard →
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LESSON |
PH.P.1.2. |
Ch P Sec 1 Lesson 2: Order and Interval Notation (pp. 3 - 6) materials correlated to this standard →
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LESSON |
PH.P.1.3. |
Ch P Sec 1 Lesson 3: Basic Properties of Algebra (pp. 6 - 7) materials correlated to this standard →
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LESSON |
PH.P.1.4. |
Ch P Sec 1 Lesson 4: Integer Exponents (pp. 8 - 9) materials correlated to this standard →
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LESSON |
PH.P.1.5. |
Ch P Sec 1 Lesson 5: Scientific Notation (pp. 9 - 10) materials correlated to this standard →
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SECTION |
PH.P.2. |
Ch P Section 2: Cartesian Coordinate System |
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LESSON |
PH.P.2.1. |
Ch P Sec 2 Lesson 1: Cartesian Plane (pp. 14 - 15) materials correlated to this standard →
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LESSON |
PH.P.2.2. |
Ch P Sec 2 Lesson 2: Absolute Value of a Real Number (pp. 15 - 15) materials correlated to this standard →
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LESSON |
PH.P.2.3. |
Ch P Sec 2 Lesson 3: Distance Formulas (pp. 15 - 17) materials correlated to this standard →
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LESSON |
PH.P.2.4. |
Ch P Sec 2 Lesson 4: Midpoint Formulas (pp. 17 - 17) materials correlated to this standard →
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LESSON |
PH.P.2.5. |
Ch P Sec 2 Lesson 5: Equations of Circles (pp. 18 - 18) materials correlated to this standard →
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LESSON |
PH.P.2.6. |
Ch P Sec 2 Lesson 6: Applications (pp. 18 - 19) materials correlated to this standard →
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SECTION |
PH.P.3. |
Ch P Section 3: Linear Equations and Inequalities |
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LESSON |
PH.P.3.1. |
Ch P Sec 3 Lesson 1: Equations (pp. 24 - 24) materials correlated to this standard →
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LESSON |
PH.P.3.2. |
Ch P Sec 3 Lesson 2: Solving Equations (pp. 24 - 24) materials correlated to this standard →
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LESSON |
PH.P.3.3. |
Ch P Sec 3 Lesson 3: Linear Equations in One Variable (pp. 24 - 24) materials correlated to this standard →
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LESSON |
PH.P.3.4. |
Ch P Sec 3 Lesson 4: Linear Equalities in One Variable (pp. 26 - 28) materials correlated to this standard →
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SECTION |
PH.P.4. |
Ch P Section 4: Line in the Plane |
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LESSON |
PH.P.4.1. |
Ch P Sec 4 Lesson 1: Slope of a Line (pp. 31 - 32) materials correlated to this standard →
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LESSON |
PH.P.4.2. |
Ch P Sec 4 Lesson 2: Point-Slope Form Equation of a Line (pp. 32 - 33) materials correlated to this standard →
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LESSON |
PH.P.4.3. |
Ch P Sec 4 Lesson 3: Slope-Intercept Form Equation of a Line (pp. 33 - 34) materials correlated to this standard →
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LESSON |
PH.P.4.4. |
Ch P Sec 4 Lesson 4: Graphing Linear Equations in Two Variables (pp. 34 - 35) materials correlated to this standard →
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LESSON |
PH.P.4.5. |
Ch P Sec 4 Lesson 5: Parallel and Perpendicular Lines (pp. 35 - 36) materials correlated to this standard →
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LESSON |
PH.P.4.6. |
Ch P Sec 4 Lesson 6: Applying Linear Equations in Two Variables (pp. 37 - 39) materials correlated to this standard →
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SECTION |
PH.P.5. |
Ch P Section 5: Solving Equations Graphically, Numerically and Algebraically |
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LESSON |
PH.P.5.1. |
Ch P Sec 5 Lesson 1: Solving Equations Graphically (pp. 44 - 45) materials correlated to this standard →
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LESSON |
PH.P.5.2. |
Ch P Sec 5 Lesson 2: Solving Quadratic Equations (pp. 45 - 47) materials correlated to this standard →
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LESSON |
PH.P.5.3. |
Ch P Sec 5 Lesson 3: Approximating Solutions of Equations Graphically (pp. 47 - 47) materials correlated to this standard →
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LESSON |
PH.P.5.4. |
Ch P Sec 5 Lesson 4: Approximating Solutions of Equations Numerically with Tables (pp. 47 - 49) materials correlated to this standard →
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LESSON |
PH.P.5.5. |
Ch P Sec 5 Lesson 5: Solving Equations by Finding Intersections (pp. 49 - 49) materials correlated to this standard →
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SECTION |
PH.P.6. |
Ch P Section 6: Complex Numbers |
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LESSON |
PH.P.6.1. |
Ch P Sec 6 Lesson 1: Complex Numbers (pp. 53 - 53) materials correlated to this standard →
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LESSON |
PH.P.6.2. |
Ch P Sec 6 Lesson 2: Operations with Complex Numbers (pp. 53 - 55) materials correlated to this standard →
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LESSON |
PH.P.6.3. |
Ch P Sec 6 Lesson 3: Complex Conjugates and Division (pp. 55 - 56) materials correlated to this standard →
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LESSON |
PH.P.6.4. |
Ch P Sec 6 Lesson 4: Complex Solutions of Quadratic Equations (pp. 56 - 57) materials correlated to this standard →
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SECTION |
PH.P.7. |
Ch P Section 7: Solving Inequalities Algebraically and Graphically |
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LESSON |
PH.P.7.1. |
Ch P Sec 7 Lesson 1: Solving Absolute Value Inequalities (pp. 59 - 60) materials correlated to this standard →
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LESSON |
PH.P.7.2. |
Ch P Sec 7 Lesson 2: Solving Quadratic Inequalities (pp. 60 - 62) materials correlated to this standard →
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LESSON |
PH.P.7.3. |
Ch P Sec 7 Lesson 3: Approximating Solutions to Inequalities (pp. 62 - 62) materials correlated to this standard →
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LESSON |
PH.P.7.4. |
Ch P Sec 7 Lesson 4: Projectile Motion (pp. 63 - 63) materials correlated to this standard →
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CHAPTER |
PH.1. |
Chapter 1: Functions and Graphs |
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SECTION |
PH.1.1. |
Ch 1 Section 1: Modeling and Equation Solving |
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LESSON |
PH.1.1.1. |
Ch 1 Sec 1 Lesson 1: Numerical Models (pp. 70 - 71) materials correlated to this standard →
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LESSON |
PH.1.1.2. |
Ch 1 Sec 1 Lesson 2: Algebraic Models (pp. 71 - 72) materials correlated to this standard →
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LESSON |
PH.1.1.3. |
Ch 1 Sec 1 Lesson 3: Graphical Models (pp. 72 - 74) materials correlated to this standard →
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LESSON |
PH.1.1.4. |
Ch 1 Sec 1 Lesson 4: The Zero Factor Property (pp. 74 - 76) materials correlated to this standard →
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LESSON |
PH.1.1.5. |
Ch 1 Sec 1 Lesson 5: Problem Solving (pp. 76 - 78) materials correlated to this standard →
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LESSON |
PH.1.1.6. |
Ch 1 Sec 1 Lesson 6: Grapher Failure and Hidden Behavior (pp. 78 - 79) materials correlated to this standard →
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LESSON |
PH.1.1.7. |
Ch 1 Sec 1 Lesson 7: A Word About Proof (pp. 79 - 80) |
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SECTION |
PH.1.2. |
Ch 1 Section 2: Functions and Their Properties |
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LESSON |
PH.1.2.1. |
Ch 1 Sec 2 Lesson 1: Function Definition and Notation (pp. 86 - 87) materials correlated to this standard →
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LESSON |
PH.1.2.2. |
Ch 1 Sec 2 Lesson 2: Domain and Range (pp. 88 - 90) materials correlated to this standard →
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LESSON |
PH.1.2.3. |
Ch 1 Sec 2 Lesson 3: Continuity (pp. 90 - 92) materials correlated to this standard →
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LESSON |
PH.1.2.4. |
Ch 1 Sec 2 Lesson 4: Increasing and Decreasing Functions (pp. 92 - 94) materials correlated to this standard →
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LESSON |
PH.1.2.5. |
Ch 1 Sec 2 Lesson 5: Boundedness (pp. 95 - 96) materials correlated to this standard →
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LESSON |
PH.1.2.6. |
Ch 1 Sec 2 Lesson 6: Local and Absolute Extrema (pp. 96 - 96) materials correlated to this standard →
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LESSON |
PH.1.2.7. |
Ch 1 Sec 2 Lesson 7: Symmetry (pp. 97 - 99) materials correlated to this standard →
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LESSON |
PH.1.2.8. |
Ch 1 Sec 2 Lesson 8: Asymptotes (pp. 99 - 100) materials correlated to this standard →
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LESSON |
PH.1.2.9. |
Ch 1 Sec 2 Lesson 9: End Behavior (pp. 100 - 101) materials correlated to this standard →
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SECTION |
PH.1.3. |
Ch 1 Section 3: Twelve Basic Functions |
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LESSON |
PH.1.3.1. |
Ch 1 Sec 3 Lesson 1: What Graphs Can Tell Us (pp. 106 - 106) materials correlated to this standard →
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LESSON |
PH.1.3.2. |
Ch 1 Sec 3 Lesson 2: Twelve Basic Functions (pp. 106 - 110) materials correlated to this standard →
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LESSON |
PH.1.3.3. |
Ch 1 Sec 3 Lesson 3: Analyzing Functions Graphically (pp. 110 - 112) materials correlated to this standard →
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SECTION |
PH.1.4. |
Ch 1 Section 4: Building Functions from Functions |
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LESSON |
PH.1.4.1. |
Ch 1 Sec 4 Lesson 1: Combining Functions Algebraically (pp. 117 - 118) materials correlated to this standard →
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LESSON |
PH.1.4.2. |
Ch 1 Sec 4 Lesson 2: Composition of Functions (pp. 118 - 122) materials correlated to this standard →
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LESSON |
PH.1.4.3. |
Ch 1 Sec 4 Lesson 3: Relations and Implicitly Defined Functions (pp. 122 - 123) materials correlated to this standard →
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SECTION |
PH.1.5. |
Ch 1 Section 5: Parametric Relations and Inverses |
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LESSON |
PH.1.5.1. |
Ch 1 Sec 5 Lesson 1: Relations Defined Parametrically (pp. 127 - 129) materials correlated to this standard →
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LESSON |
PH.1.5.2. |
Ch 1 Sec 5 Lesson 2: Inverse Relations and Inverse Functions (pp. 129 - 134) materials correlated to this standard →
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SECTION |
PH.1.6. |
Ch 1 Section 6: Graphical Transformations |
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LESSON |
PH.1.6.1. |
Ch 1 Sec 6 Lesson 1: Transformations (pp. 138 - 138) materials correlated to this standard →
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LESSON |
PH.1.6.2. |
Ch 1 Sec 6 Lesson 2: Vertical and Horizontal Translations (pp. 138 - 140) materials correlated to this standard →
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LESSON |
PH.1.6.3. |
Ch 1 Sec 6 Lesson 3: Reflections Across Axes (pp. 141 - 143) materials correlated to this standard →
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LESSON |
PH.1.6.4. |
Ch 1 Sec 6 Lesson 4: Vertical and Horizontal Stretches and Shrinks (pp. 144 - 145) materials correlated to this standard →
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LESSON |
PH.1.6.5. |
Ch 1 Sec 6 Lesson 5: Combining Transformations (pp. 145 - 147) materials correlated to this standard →
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SECTION |
PH.1.7. |
Ch 1 Section 7: Modeling with Functions |
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LESSON |
PH.1.7.1. |
Ch 1 Sec 7 Lesson 1: Functions From Formulas (pp. 151 - 152) materials correlated to this standard →
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LESSON |
PH.1.7.2. |
Ch 1 Sec 7 Lesson 2: Functions From Graphs (pp. 152 - 154) materials correlated to this standard →
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LESSON |
PH.1.7.3. |
Ch 1 Sec 7 Lesson 3: Functions From Verbal Descriptions (pp. 154 - 155) materials correlated to this standard →
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LESSON |
PH.1.7.4. |
Ch 1 Sec 7 Lesson 4: Functions From Data (pp. 155 - 159) materials correlated to this standard →
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CHAPTER |
PH.2. |
Chapter 2: Polynomial, Power, and Rational Functions |
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SECTION |
PH.2.1. |
Ch 2 Section 1: Linear and quadratic Functions and Modeling |
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LESSON |
PH.2.1.1. |
Ch 2 Sec 1 Lesson 1: Polynomial Functions (pp. 170 - 171) materials correlated to this standard →
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LESSON |
PH.2.1.2. |
Ch 2 Sec 1 Lesson 2: Linear Functions and Their Graphs (pp. 171 - 172) materials correlated to this standard →
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LESSON |
PH.2.1.3. |
Ch 2 Sec 1 Lesson 3: Average Rate of Change (pp. 172 - 174) materials correlated to this standard →
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LESSON |
PH.2.1.4. |
Ch 2 Sec 1 Lesson 4: Linear Correlation and Modeling (pp. 174 - 176) materials correlated to this standard →
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LESSON |
PH.2.1.5. |
Ch 2 Sec 1 Lesson 5: Quadratic Functions and Their Graphs (pp. 176 - 179) materials correlated to this standard →
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LESSON |
PH.2.1.6. |
Ch 2 Sec 1 Lesson 6: Applications of Quadratic Functions (pp. 179 - 181) materials correlated to this standard →
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SECTION |
PH.2.2. |
Ch 2 Section 2: Power Functions with Modeling |
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LESSON |
PH.2.2.1. |
Ch 2 Sec 2 Lesson 1: Power Functions and Variation (pp. 188 - 190) materials correlated to this standard →
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LESSON |
PH.2.2.2. |
Ch 2 Sec 2 Lesson 2: Monomial Functions and Their Graphs (pp. 190 - 192) materials correlated to this standard →
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LESSON |
PH.2.2.3. |
Ch 2 Sec 2 Lesson 3: Graphs of Power Functions (pp. 192 - 193) materials correlated to this standard →
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LESSON |
PH.2.2.4. |
Ch 2 Sec 2 Lesson 4: Modeling with Power Functions (pp. 193 - 196) materials correlated to this standard →
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SECTION |
PH.2.3. |
Ch 2 Section 3: Polynomial Functions of Higher Degree with Modeling |
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LESSON |
PH.2.3.1. |
Ch 2 Sec 3 Lesson 1: Graphs of Polynomial Functions (pp. 200 - 202) materials correlated to this standard →
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LESSON |
PH.2.3.2. |
Ch 2 Sec 3 Lesson 2: End Behavior of Polynomial Functions (pp. 203 - 204) materials correlated to this standard →
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LESSON |
PH.2.3.3. |
Ch 2 Sec 3 Lesson 3: Zeros of Polynomial Functions (pp. 205 - 206) materials correlated to this standard →
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LESSON |
PH.2.3.4. |
Ch 2 Sec 3 Lesson 4: Intermediate Value Theorem (pp. 206 - 207) materials correlated to this standard →
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LESSON |
PH.2.3.5. |
Ch 2 Sec 3 Lesson 5: Modeling (pp. 207 - 208) materials correlated to this standard →
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SECTION |
PH.2.4. |
Ch 2 Section 4: Real Zeros of Polynomial Functions |
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LESSON |
PH.2.4.1. |
Ch 2 Sec 4 Lesson 1: Long Division and the Division Algorithm (pp. 214 - 215) materials correlated to this standard →
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LESSON |
PH.2.4.2. |
Ch 2 Sec 4 Lesson 2: Remainder and Factor Theorems (pp. 215 - 217) materials correlated to this standard →
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LESSON |
PH.2.4.3. |
Ch 2 Sec 4 Lesson 3: Synthetic Division (pp. 217 - 218) materials correlated to this standard →
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LESSON |
PH.2.4.4. |
Ch 2 Sec 4 Lesson 4: Rational Zeros Theorem (pp. 218 - 220) materials correlated to this standard →
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LESSON |
PH.2.4.5. |
Ch 2 Sec 4 Lesson 5: Upper and Lower Bounds (pp. 220 - 223) materials correlated to this standard →
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SECTION |
PH.2.5. |
Ch 2 Section 5: Complex Zeros and the Fundamental Theorem of Algebra |
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LESSON |
PH.2.5.1. |
Ch 2 Sec 5 Lesson 1: Two Major Theorems (pp. 228 - 229) materials correlated to this standard →
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LESSON |
PH.2.5.2. |
Ch 2 Sec 5 Lesson 2: Complex Conjugate Zeros (pp. 230 - 232) materials correlated to this standard →
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LESSON |
PH.2.5.3. |
Ch 2 Sec 5 Lesson 3: Factoring wit h Real Number Coefficients (pp. 232 - 233) materials correlated to this standard →
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SECTION |
PH.2.6. |
Ch 2 Section 6: Graphs of Rational Functions |
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LESSON |
PH.2.6.1. |
Ch 2 Sec 6 Lesson 1: Rational Functions (pp. 237 - 238) materials correlated to this standard →
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LESSON |
PH.2.6.2. |
Ch 2 Sec 6 Lesson 2: Transformations of the Reciprocal Function (pp. 238 - 239) materials correlated to this standard →
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LESSON |
PH.2.6.3. |
Ch 2 Sec 6 Lesson 3: Limits and Asymptotes (pp. 239 - 241) materials correlated to this standard →
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LESSON |
PH.2.6.4. |
Ch 2 Sec 6 Lesson 4: Analyzing Graphs of Rational Functions (pp. 241 - 244) materials correlated to this standard →
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LESSON |
PH.2.6.5. |
Ch 2 Sec 6 Lesson 5: Exploring Relative Humidity (pp. 244 - 244) materials correlated to this standard →
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SECTION |
PH.2.7. |
Ch 2 Section 7: Solving Equations in One Variable |
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LESSON |
PH.2.7.1. |
Ch 2 Sec 7 Lesson 1: Solving Rational Equations (pp. 248 - 249) materials correlated to this standard →
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LESSON |
PH.2.7.2. |
Ch 2 Sec 7 Lesson 2: Extraneous Solutions (pp. 249 - 250) materials correlated to this standard →
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LESSON |
PH.2.7.3. |
Ch 2 Sec 7 Lesson 3: Applications (pp. 250 - 252) materials correlated to this standard →
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SECTION |
PH.2.8. |
Ch 2 Section 8: Solving Inequalities in One Variable |
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LESSON |
PH.2.8.1. |
Ch 2 Sec 8 Lesson 1: Polynomial Inequalities (pp. 257 - 260) materials correlated to this standard →
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LESSON |
PH.2.8.2. |
Ch 2 Sec 8 Lesson 2: Rational Inequalities (pp. 260 - 261) materials correlated to this standard →
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LESSON |
PH.2.8.3. |
Ch 2 Sec 8 Lesson 3: Other Inequalities (pp. 262 - 262) materials correlated to this standard →
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LESSON |
PH.2.8.4. |
Ch 2 Sec 8 Lesson 4: Applications (pp. 262 - 264) materials correlated to this standard →
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CHAPTER |
PH.3. |
Chapter 3: Exponential, Logistic, and Logarithmic Functions |
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SECTION |
PH.3.1. |
Ch 3 Section 1: Exponential and Logistic Functions |
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LESSON |
PH.3.1.1. |
Ch 3 Sec 1 Lesson 1: Exponential Functions and Their Graphs (pp. 276 - 281) materials correlated to this standard →
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LESSON |
PH.3.1.2. |
Ch 3 Sec 1 Lesson 2: The Natural Base e (pp. 281 - 283) materials correlated to this standard →
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LESSON |
PH.3.1.3. |
Ch 3 Sec 1 Lesson 3: Logistic Functions and Their Graphs (pp. 283 - 284) materials correlated to this standard →
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LESSON |
PH.3.1.4. |
Ch 3 Sec 1 Lesson 4: Population Models (pp. 284 - 285) materials correlated to this standard →
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SECTION |
PH.3.2. |
Ch 3 Section 2: Exponential and Logistic Modeling |
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LESSON |
PH.3.2.1. |
Ch 3 Sec 2 Lesson 1: Constant Percentage Rate sand Exponential Functions (pp. 290 - 291) materials correlated to this standard →
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LESSON |
PH.3.2.2. |
Ch 3 Sec 2 Lesson 2: Exponential Growth and Decay Models (pp. 291 - 293) materials correlated to this standard →
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LESSON |
PH.3.2.3. |
Ch 3 Sec 2 Lesson 3: Using Regression to Model Population (pp. 293 - 295) materials correlated to this standard →
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LESSON |
PH.3.2.4. |
Ch 3 Sec 2 Lesson 4: Other Logistic Models (pp. 295 - 295) materials correlated to this standard →
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SECTION |
PH.3.3. |
Ch 3 Section 3: Logarithmic Functions and Their Graphs |
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LESSON |
PH.3.3.1. |
Ch 3 Sec 3 Lesson 1: Inverses of Exponential Functions (pp. 300 - 302) materials correlated to this standard →
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LESSON |
PH.3.3.2. |
Ch 3 Sec 3 Lesson 2: Common Logarithms - Base 10 (pp. 302 - 303) materials correlated to this standard →
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LESSON |
PH.3.3.3. |
Ch 3 Sec 3 Lesson 3: Natural Logarithms - Base e (pp. 303 - 304) materials correlated to this standard →
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LESSON |
PH.3.3.4. |
Ch 3 Sec 3 Lesson 4: Graphs of Logarithmic Functions (pp. 305 - 306) materials correlated to this standard →
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LESSON |
PH.3.3.5. |
Ch 3 Sec 3 Lesson 5: Measuring Sound Using Decibels (pp. 307 - 307) materials correlated to this standard →
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SECTION |
PH.3.4. |
Ch 3 Section 4: Properties of Logarithmic Functions |
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LESSON |
PH.3.4.1. |
Ch 3 Sec 4 Lesson 1: Properties of Logarithms (pp. 310 - 312) materials correlated to this standard →
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LESSON |
PH.3.4.2. |
Ch 3 Sec 4 Lesson 2: Change of Base (pp. 312 - 313) materials correlated to this standard →
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LESSON |
PH.3.4.3. |
Ch 3 Sec 4 Lesson 3: Graphs of Logarithmic Functions with Base b (pp. 313 - 314) materials correlated to this standard →
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LESSON |
PH.3.4.4. |
Ch 3 Sec 4 Lesson 4: Re-expressing Data (pp. 314 - 316) materials correlated to this standard →
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SECTION |
PH.3.5. |
Ch 3 Section 5: Equation Solving and Modeling |
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LESSON |
PH.3.5.1. |
Ch 3 Sec 5 Lesson 1: Solving Exponential Equations (pp. 320 - 321) materials correlated to this standard →
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LESSON |
PH.3.5.2. |
Ch 3 Sec 5 Lesson 2: Solving Logarithmic Equations (pp. 321 - 322) materials correlated to this standard →
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LESSON |
PH.3.5.3. |
Ch 3 Sec 5 Lesson 3: Orders of Magnitude and Logarithmic Models (pp. 323 - 325) materials correlated to this standard →
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LESSON |
PH.3.5.4. |
Ch 3 Sec 5 Lesson 4: Newton's Law of Cooling (pp. 326 - 327) materials correlated to this standard →
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LESSON |
PH.3.5.5. |
Ch 3 Sec 5 Lesson 5: Logarithmic Re-expression (pp. 328 - 330) materials correlated to this standard →
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SECTION |
PH.3.6. |
Ch 3 Section 6: Mathematics and Finance |
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LESSON |
PH.3.6.1. |
Ch 3 Sec 6 Lesson 1: Interest Compounded Annually (pp. 334 - 334) materials correlated to this standard →
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LESSON |
PH.3.6.2. |
Ch 3 Sec 6 Lesson 2: Interest Compounded k Times per Year (pp. 335 - 336) materials correlated to this standard →
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LESSON |
PH.3.6.3. |
Ch 3 Sec 6 Lesson 3: Interest Compounded Continuously (pp. 336 - 337) materials correlated to this standard →
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LESSON |
PH.3.6.4. |
Ch 3 Sec 6 Lesson 4: Annual Percentage Yield (pp. 337 - 338) materials correlated to this standard →
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LESSON |
PH.3.6.5. |
Ch 3 Sec 6 Lesson 5: Annuities - Future Value (pp. 338 - 339) materials correlated to this standard →
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LESSON |
PH.3.6.6. |
Ch 3 Sec 6 Lesson 6: Loans and Mortgages - Present Value (pp. 339 - 340) materials correlated to this standard →
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CHAPTER |
PH.4. |
Chapter 4: Trigonometric Functions |
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SECTION |
PH.4.1. |
Ch 4 Section 1: Angles and Their Measures |
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LESSON |
PH.4.1.1. |
Ch 4 Sec 1 Lesson 1: The Problem of Angular Measure (pp. 350 - 350) materials correlated to this standard →
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LESSON |
PH.4.1.2. |
Ch 4 Sec 1 Lesson 2: Degrees and Radians (pp. 351 - 353) materials correlated to this standard →
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LESSON |
PH.4.1.3. |
Ch 4 Sec 1 Lesson 3: Circular Arc Length (pp. 353 - 354) materials correlated to this standard →
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LESSON |
PH.4.1.4. |
Ch 4 Sec 1 Lesson 4: Angular and Linear Motion (pp. 354 - 356) materials correlated to this standard →
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SECTION |
PH.4.2. |
Ch 4 Section 2: Trigonometric Functions of Acute Angles |
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LESSON |
PH.4.2.1. |
Ch 4 Sec 2 Lesson 1: Right Triangle Trigonometry (pp. 360 - 361) materials correlated to this standard →
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LESSON |
PH.4.2.2. |
Ch 4 Sec 2 Lesson 2: Two Famous Triangles (pp. 361 - 363) materials correlated to this standard →
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LESSON |
PH.4.2.3. |
Ch 4 Sec 2 Lesson 3: Evaluating Trigonometric Functions with a Calculator (pp. 363 - 363) materials correlated to this standard →
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LESSON |
PH.4.2.4. |
Ch 4 Sec 2 Lesson 4: Common Calculator Errors When Evaluating Trig Functions (pp. 363 - 364) materials correlated to this standard →
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LESSON |
PH.4.2.5. |
Ch 4 Sec 2 Lesson 5: Applications of Right Triangle Trigonometry (pp. 364 - 365) materials correlated to this standard →
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SECTION |
PH.4.3. |
Ch 4 Section 3: Trigonometry Extended: The Circular Functions |
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LESSON |
PH.4.3.1. |
Ch 4 Sec 3 Lesson 1: Trigonometric Functions of Any Angle (pp. 370 - 376) materials correlated to this standard →
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LESSON |
PH.4.3.2. |
Ch 4 Sec 3 Lesson 2: Trigonometric Functions of Real Numbers (pp. 377 - 378) materials correlated to this standard →
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LESSON |
PH.4.3.3. |
Ch 4 Sec 3 Lesson 3: Periodic Functions (pp. 379 - 379) materials correlated to this standard →
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LESSON |
PH.4.3.4. |
Ch 4 Sec 3 Lesson 4: The 16-Point Unit Circle (pp. 380 - 380) materials correlated to this standard →
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SECTION |
PH.4.4. |
Ch 4 Section 4: Graphs of Sine and Cosine: Sinusoids |
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LESSON |
PH.4.4.1. |
Ch 4 Sec 4 Lesson 1: The Basic Waves Revisited (pp. 384 - 386) materials correlated to this standard →
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LESSON |
PH.4.4.2. |
Ch 4 Sec 4 Lesson 2: Sinusoids and Transformations (pp. 386 - 390) materials correlated to this standard →
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LESSON |
PH.4.4.3. |
Ch 4 Sec 4 Lesson 3: Modeling Periodic Behavior with Sinusoids (pp. 390 - 391) materials correlated to this standard →
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SECTION |
PH.4.5. |
Ch 4 Section 5: Graphs of Tangent, Cotangent, Secant and Cosecant |
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LESSON |
PH.4.5.1. |
Ch 4 Sec 5 Lesson 1: The Tangent Function (pp. 396 - 397) materials correlated to this standard →
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LESSON |
PH.4.5.2. |
Ch 4 Sec 5 Lesson 2: The Cotangent Function (pp. 397 - 398) materials correlated to this standard →
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LESSON |
PH.4.5.3. |
Ch 4 Sec 5 Lesson 3: The Secant function (pp. 398 - 399) materials correlated to this standard →
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LESSON |
PH.4.5.4. |
Ch 4 Sec 5 Lesson 4: The Cosecant Function (pp. 399 - 400) materials correlated to this standard →
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SECTION |
PH.4.6. |
Ch 4 Section 6: Graphs of Composite Trigonometric Functions |
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LESSON |
PH.4.6.1. |
Ch 4 Sec 6 Lesson 1: Combining Trigonometric Functions and Algebraic Functions (pp. 405 - 407) materials correlated to this standard →
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LESSON |
PH.4.6.2. |
Ch 4 Sec 6 Lesson 2: Sums and Differences of Sinusoids (pp. 407 - 409) materials correlated to this standard →
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LESSON |
PH.4.6.3. |
Ch 4 Sec 6 Lesson 3: Damped Oscillation (pp. 409 - 411) materials correlated to this standard →
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SECTION |
PH.4.7. |
Ch 4 Section 7: Inverse Trigonometric Functions |
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LESSON |
PH.4.7.1. |
Ch 4 Sec 7 Lesson 1: Inverse Sine Function (pp. 414 - 416) materials correlated to this standard →
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LESSON |
PH.4.7.2. |
Ch 4 Sec 7 Lesson 2: Inverse Cosine and Tangent Functions (pp. 416 - 418) materials correlated to this standard →
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LESSON |
PH.4.7.3. |
Ch 4 Sec 7 Lesson 3: Composing Trigonometric and Inverse Trigonometric Functions (pp. 418 - 420) materials correlated to this standard →
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LESSON |
PH.4.7.4. |
Ch 4 Sec 7 Lesson 4: Applications of Inverse Trigonometric Functions (pp. 420 - 421) materials correlated to this standard →
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SECTION |
PH.4.8. |
Ch 4 Section 8: Solving Problems with Trigonometry |
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LESSON |
PH.4.8.1. |
Ch 4 Sec 8 Lesson 1: More Right Angle Problems (pp. 425 - 427) materials correlated to this standard →
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LESSON |
PH.4.8.2. |
Ch 4 Sec 8 Lesson 2: Simple Harmonic Motion (pp. 428 - 431) materials correlated to this standard →
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CHAPTER |
PH.5. |
Chapter 5: Analytic Trigonometry |
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SECTION |
PH.5.1. |
Ch 5 Section 1: Fundamental Identities |
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LESSON |
PH.5.1.1. |
Ch 5 Sec 1 Lesson 1: Identities (pp. 444 - 444) materials correlated to this standard →
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LESSON |
PH.5.1.2. |
Ch 5 Sec 1 Lesson 2: Basic Trigonometric Identities (pp. 444 - 445) materials correlated to this standard →
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LESSON |
PH.5.1.3. |
Ch 5 Sec 1 Lesson 3: Pythagorean Identities (pp. 445 - 446) materials correlated to this standard →
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LESSON |
PH.5.1.4. |
Ch 5 Sec 1 Lesson 4: Cofunction Identities (pp. 446 - 447) materials correlated to this standard →
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LESSON |
PH.5.1.5. |
Ch 5 Sec 1 Lesson 5: Odd-Even Identities (pp. 447 - 447) materials correlated to this standard →
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LESSON |
PH.5.1.6. |
Ch 5 Sec 1 Lesson 6: Simplifying Trigonometric Expressions (pp. 447 - 449) materials correlated to this standard →
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LESSON |
PH.5.1.7. |
Ch 5 Sec 1 Lesson 7: Simplifying Trigonometric Equations (pp. 449 - 451) materials correlated to this standard →
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SECTION |
PH.5.2. |
Ch 5 Section 2: Proving Trigonometric Identities |
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LESSON |
PH.5.2.1. |
Ch 5 Sec 2 Lesson 1: A Proof Strategy (pp. 454 - 455) materials correlated to this standard →
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LESSON |
PH.5.2.2. |
Ch 5 Sec 2 Lesson 2: Proving Identities (pp. 455 - 458) materials correlated to this standard →
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LESSON |
PH.5.2.3. |
Ch 5 Sec 2 Lesson 3: Disproving Non-Identities (pp. 458 - 459) materials correlated to this standard →
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LESSON |
PH.5.2.4. |
Ch 5 Sec 2 Lesson 4: Identities in Calculus (pp. 459 - 459) materials correlated to this standard →
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SECTION |
PH.5.3. |
Ch 5 Section 3: Sum and Difference Identities |
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LESSON |
PH.5.3.1. |
Ch 5 Sec 3 Lesson 1: Cosine of a Difference (pp. 463 - 464) materials correlated to this standard →
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LESSON |
PH.5.3.2. |
Ch 5 Sec 3 Lesson 2: Cosine of a Sum (pp. 464 - 465) materials correlated to this standard →
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LESSON |
PH.5.3.3. |
Ch 5 Sec 3 Lesson 3: Sine of a Difference or a Sum (pp. 465 - 466) materials correlated to this standard →
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LESSON |
PH.5.3.4. |
Ch 5 Sec 3 Lesson 4: Tangent of a Difference or a Sum (pp. 467 - 467) materials correlated to this standard →
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LESSON |
PH.5.3.5. |
Ch 5 Sec 3 Lesson 5: Verifying a Sinusoid Algebraically (pp. 467 - 468) materials correlated to this standard →
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SECTION |
PH.5.4. |
Ch 5 Section 4: Multiple-Angle Identities |
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LESSON |
PH.5.4.1. |
Ch 5 Sec 4 Lesson 1: Double-Angle Identities (pp. 471 - 471) materials correlated to this standard →
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LESSON |
PH.5.4.2. |
Ch 5 Sec 4 Lesson 2: Power-Reducing Identities (pp. 471 - 472) materials correlated to this standard →
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LESSON |
PH.5.4.3. |
Ch 5 Sec 4 Lesson 3: Half-angle Identities (pp. 473 - 473) materials correlated to this standard →
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LESSON |
PH.5.4.4. |
Ch 5 Sec 4 Lesson 4: Solving Trigonometric Equations (pp. 474 - 475) materials correlated to this standard →
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SECTION |
PH.5.5. |
Ch 5 Section 5: The Law of Sines |
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LESSON |
PH.5.5.1. |
Ch 5 Sec 5 Lesson 1: Deriving the Law of Sines (pp. 478 - 479) materials correlated to this standard →
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LESSON |
PH.5.5.2. |
Ch 5 Sec 5 Lesson 2: Solving Triangles (AAS, ASA) (pp. 479 - 479) materials correlated to this standard →
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LESSON |
PH.5.5.3. |
Ch 5 Sec 5 Lesson 3: The Ambiguous Case (SSA) (pp. 479 - 482) materials correlated to this standard →
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LESSON |
PH.5.5.4. |
Ch 5 Sec 5 Lesson 4: Applications (pp. 482 - 483) materials correlated to this standard →
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SECTION |
PH.5.6. |
Ch 5 Section 6: The Law of Cosines |
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LESSON |
PH.5.6.1. |
Ch 5 Sec 6 Lesson 1: Deriving the Law of Cosines (pp. 487 - 488) materials correlated to this standard →
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LESSON |
PH.5.6.2. |
Ch 5 Sec 6 Lesson 2: Solving Triangles (SAS, SSS) (pp. 488 - 489) materials correlated to this standard →
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LESSON |
PH.5.6.3. |
Ch 5 Sec 6 Lesson 3: Triangle Area and Heron's Formula (pp. 489 - 490) materials correlated to this standard →
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LESSON |
PH.5.6.4. |
Ch 5 Sec 6 Lesson 4: Applications (pp. 491 - 493) materials correlated to this standard →
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CHAPTER |
PH.6. |
Chapter 6: Applications of Trigonometry |
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SECTION |
PH.6.1. |
Ch 6 Section 1: Vectors in the Plane |
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LESSON |
PH.6.1.1. |
Ch 6 Sec 1 Lesson 1: Two-Dimensional Vectors (pp. 502 - 504) materials correlated to this standard →
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LESSON |
PH.6.1.2. |
Ch 6 Sec 1 Lesson 2: Vector Operations (pp. 504 - 506) materials correlated to this standard →
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LESSON |
PH.6.1.3. |
Ch 6 Sec 1 Lesson 3: Unit Vectors (pp. 506 - 507) materials correlated to this standard →
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LESSON |
PH.6.1.4. |
Ch 6 Sec 1 Lesson 4: Direction Angles (pp. 507 - 508) materials correlated to this standard →
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LESSON |
PH.6.1.5. |
Ch 6 Sec 1 Lesson 5: Applications of Vectors (pp. 508 - 510) materials correlated to this standard →
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SECTION |
PH.6.2. |
Ch 6 Section 2: Dot Product of Vectors |
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LESSON |
PH.6.2.1. |
Ch 6 Sec 2 Lesson 1: The Dot Product (pp. 514 - 515) materials correlated to this standard →
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LESSON |
PH.6.2.2. |
Ch 6 Sec 2 Lesson 2: Angle Between Vectors (pp. 515 - 517) materials correlated to this standard →
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LESSON |
PH.6.2.3. |
Ch 6 Sec 2 Lesson 3: Projecting One Vector onto Another (pp. 517 - 518) materials correlated to this standard →
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LESSON |
PH.6.2.4. |
Ch 6 Sec 2 Lesson 4: Work (pp. 518 - 519) materials correlated to this standard →
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SECTION |
PH.6.3. |
Ch 6 Section 3: Parametric Equations and Motion |
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LESSON |
PH.6.3.1. |
Ch 6 Sec 3 Lesson 1: Parametric Equations (pp. 522 - 522) materials correlated to this standard →
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LESSON |
PH.6.3.2. |
Ch 6 Sec 3 Lesson 2: Parametric Curves (pp. 522 - 523) materials correlated to this standard →
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LESSON |
PH.6.3.3. |
Ch 6 Sec 3 Lesson 3: Eliminating the Parameter (pp. 523 - 525) materials correlated to this standard →
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LESSON |
PH.6.3.4. |
Ch 6 Sec 3 Lesson 4: Lines and Line segments (pp. 525 - 526) materials correlated to this standard →
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LESSON |
PH.6.3.5. |
Ch 6 Sec 3 Lesson 5: Simulating Motion with a Grapher (pp. 526 - 529) materials correlated to this standard →
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SECTION |
PH.6.4. |
Ch 6 Section 4: Polar Coordinates |
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LESSON |
PH.6.4.1. |
Ch 6 Sec 4 Lesson 1: Polar Coordinate System (pp. 534 - 535) materials correlated to this standard →
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LESSON |
PH.6.4.2. |
Ch 6 Sec 4 Lesson 2: Coordinate Conversion (pp. 535 - 537) materials correlated to this standard →
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LESSON |
PH.6.4.3. |
Ch 6 Sec 4 Lesson 3: Equation Conversion (pp. 537 - 538) materials correlated to this standard →
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LESSON |
PH.6.4.4. |
Ch 6 Sec 4 Lesson 4: Finding Distance Using Polar Coordinates (pp. 538 - 538) materials correlated to this standard →
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SECTION |
PH.6.5. |
Ch 6 Section 5: Graphs of Polar Equations |
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LESSON |
PH.6.5.1. |
Ch 6 Sec 5 Lesson 1: Polar Curves and Parametric Curves (pp. 541 - 541) materials correlated to this standard →
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LESSON |
PH.6.5.2. |
Ch 6 Sec 5 Lesson 2: Symmetry (pp. 541 - 542) materials correlated to this standard →
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LESSON |
PH.6.5.3. |
Ch 6 Sec 5 Lesson 3: Analyzing Polar Graphs (pp. 542 - 543) materials correlated to this standard →
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LESSON |
PH.6.5.4. |
Ch 6 Sec 5 Lesson 4: Rose Curves (pp. 544 - 545) materials correlated to this standard →
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LESSON |
PH.6.5.5. |
Ch 6 Sec 5 Lesson 5: Limacon Curves (pp. 545 - 546) materials correlated to this standard →
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LESSON |
PH.6.5.6. |
Ch 6 Sec 5 Lesson 6: Other Polar Curves (pp. 546 - 547) materials correlated to this standard →
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SECTION |
PH.6.6. |
Ch 6 Section 6: De Moivre's Theorem and nth Roots |
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LESSON |
PH.6.6.1. |
Ch 6 Sec 6 Lesson 1: The Complex Plane (pp. 550 - 551) materials correlated to this standard →
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LESSON |
PH.6.6.2. |
Ch 6 Sec 6 Lesson 2: Trigonometric Form of Complex Numbers (pp. 551 - 552) materials correlated to this standard →
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LESSON |
PH.6.6.3. |
Ch 6 Sec 6 Lesson 3: Multiplication and Division of Complex Numbers (pp. 552 - 553) materials correlated to this standard →
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LESSON |
PH.6.6.4. |
Ch 6 Sec 6 Lesson 4: Powers of Complex Numbers (pp. 554 - 555) materials correlated to this standard →
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LESSON |
PH.6.6.5. |
Ch 6 Sec 6 Lesson 5: Roots of Complex Numbers (pp. 555 - 558) materials correlated to this standard →
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CHAPTER |
PH.7. |
Chapter 7: Systems and Matrices |
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SECTION |
PH.7.1. |
Ch 7 Section 1: Solving Systems of Two Equations |
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LESSON |
PH.7.1.1. |
Ch 7 Sec 1 Lesson 1: The Method of Substitution (pp. 568 - 570) materials correlated to this standard →
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LESSON |
PH.7.1.2. |
Ch 7 Sec 1 Lesson 2: Solving Systems Graphically (pp. 570 - 571) materials correlated to this standard →
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LESSON |
PH.7.1.3. |
Ch 7 Sec 1 Lesson 3: The Method of Elimination (pp. 571 - 572) materials correlated to this standard →
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LESSON |
PH.7.1.4. |
Ch 7 Sec 1 Lesson 4: Applications (pp. 573 - 574) materials correlated to this standard →
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SECTION |
PH.7.2. |
Ch 7 Section 2: Matrix Algebra |
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LESSON |
PH.7.2.1. |
Ch 7 Sec 2 Lesson 1: Matrices (pp. 579 - 579) materials correlated to this standard →
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LESSON |
PH.7.2.2. |
Ch 7 Sec 2 Lesson 2: Matrix Addition and Subtraction (pp. 579 - 581) materials correlated to this standard →
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LESSON |
PH.7.2.3. |
Ch 7 Sec 2 Lesson 3: Matrix Multiplication (pp. 581 - 583) materials correlated to this standard →
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LESSON |
PH.7.2.4. |
Ch 7 Sec 2 Lesson 4: Identity and Inverse Matrices (pp. 584 - 585) materials correlated to this standard →
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LESSON |
PH.7.2.5. |
Ch 7 Sec 2 Lesson 5: Determinant of a Square Matrix (pp. 585 - 587) materials correlated to this standard →
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LESSON |
PH.7.2.6. |
Ch 7 Sec 2 Lesson 6: Applications (pp. 588 - 589) materials correlated to this standard →
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SECTION |
PH.7.3. |
Ch 7 Section 3: Multivariate Linear Systems and Row Operations |
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LESSON |
PH.7.3.1. |
Ch 7 Sec 3 Lesson 1: Triangular Form for Linear Systems (pp. 594 - 594) materials correlated to this standard →
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LESSON |
PH.7.3.2. |
Ch 7 Sec 3 Lesson 2: Gaussian Elimination (pp. 594 - 596) materials correlated to this standard →
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LESSON |
PH.7.3.3. |
Ch 7 Sec 3 Lesson 3: Elementary Row Operations and Row Echelon Form (pp. 596 - 599) materials correlated to this standard →
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LESSON |
PH.7.3.4. |
Ch 7 Sec 3 Lesson 4: Reduced Row Echelon Form (pp. 599 - 600) materials correlated to this standard →
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LESSON |
PH.7.3.5. |
Ch 7 Sec 3 Lesson 5: Solving Systems with Inverse Matrices (pp. 600 - 602) materials correlated to this standard →
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LESSON |
PH.7.3.6. |
Ch 7 Sec 3 Lesson 6: Applications (pp. 602 - 603) materials correlated to this standard →
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SECTION |
PH.7.4. |
Ch 7 Section 4: Partial Fractions |
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LESSON |
PH.7.4.1. |
Ch 7 Sec 4 Lesson 1: Partial Fraction Decomposition (pp. 608 - 609) materials correlated to this standard →
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LESSON |
PH.7.4.2. |
Ch 7 Sec 4 Lesson 2: Denominators with Linear Fractions (pp. 609 - 611) materials correlated to this standard →
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LESSON |
PH.7.4.3. |
Ch 7 Sec 4 Lesson 3: Denominations with Irreducible Quadratic Factors' (pp. 611 - 612) materials correlated to this standard →
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LESSON |
PH.7.4.4. |
Ch 7 Sec 4 Lesson 4: Applications (pp. 613 - 613) materials correlated to this standard →
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SECTION |
PH.7.5. |
Ch 7 Section 5: Systems of Inequalities in Two Variables |
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LESSON |
PH.7.5.1. |
Ch 7 Sec 5 Lesson 1: Graph of an Inequality (pp. 617 - 618) materials correlated to this standard →
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LESSON |
PH.7.5.2. |
Ch 7 Sec 5 Lesson 2: Systems of Inequalities (pp. 619 - 620) materials correlated to this standard →
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LESSON |
PH.7.5.3. |
Ch 7 Sec 5 Lesson 3: Linear Programming (pp. 620 - 622) materials correlated to this standard →
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CHAPTER |
PH.8. |
Chapter 8: Analytic Geometry in Two and Three Dimensions |
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SECTION |
PH.8.1. |
Ch 8 Section 1: Conic Sections and Parabolas |
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LESSON |
PH.8.1.1. |
Ch 8 Sec 1 Lesson 1: Conic Sections (pp. 632 - 633) materials correlated to this standard →
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LESSON |
PH.8.1.2. |
Ch 8 Sec 1 Lesson 2: Geometry of a parabola (pp. 633 - 636) materials correlated to this standard →
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LESSON |
PH.8.1.3. |
Ch 8 Sec 1 Lesson 3: Translations of Parabolas (pp. 636 - 639) materials correlated to this standard →
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LESSON |
PH.8.1.4. |
Ch 8 Sec 1 Lesson 4: Reflective Property of a Parabola (pp. 639 - 640) materials correlated to this standard →
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SECTION |
PH.8.2. |
Ch 8 Section 2: Ellipses |
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LESSON |
PH.8.2.1. |
Ch 8 Sec 2 Lesson 1: Geometry of an Ellipse (pp. 644 - 647) materials correlated to this standard →
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LESSON |
PH.8.2.2. |
Ch 8 Sec 2 Lesson 2: Translations of Ellipses (pp. 647 - 649) materials correlated to this standard →
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LESSON |
PH.8.2.3. |
Ch 8 Sec 2 Lesson 3: Orbits and Eccentricity (pp. 649 - 651) materials correlated to this standard →
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LESSON |
PH.8.2.4. |
Ch 8 Sec 2 Lesson 4: Reflective Property of an Ellipse (pp. 651 - 652) materials correlated to this standard →
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SECTION |
PH.8.3. |
Ch 8 Section 3: Hyperbolas |
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LESSON |
PH.8.3.1. |
Ch 8 Sec 3 Lesson 1: Geometry of a Hyperbola (pp. 656 - 659) materials correlated to this standard →
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LESSON |
PH.8.3.2. |
Ch 8 Sec 3 Lesson 2: Translations of Hyperbolas (pp. 659 - 661) materials correlated to this standard →
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LESSON |
PH.8.3.3. |
Ch 8 Sec 3 Lesson 3: Eccentricities and Orbits (pp. 660 - 661) materials correlated to this standard →
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LESSON |
PH.8.3.4. |
Ch 8 Sec 3 Lesson 4: Reflective Property of a Hyperbola (pp. 661 - 662) materials correlated to this standard →
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LESSON |
PH.8.3.5. |
Ch 8 Sec 3 Lesson 5: Long-Range Navigation (pp. 662 - 662) materials correlated to this standard →
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SECTION |
PH.8.4. |
Ch 8 Section 4: Translation and Rotation of Axes |
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LESSON |
PH.8.4.1. |
Ch 8 Sec 4 Lesson 1: Second-Degree Equations in Two Variables (pp. 666 - 667) materials correlated to this standard →
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LESSON |
PH.8.4.2. |
Ch 8 Sec 4 Lesson 2: Translating Axes versus Translating Graphs (pp. 667 - 668) materials correlated to this standard →
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LESSON |
PH.8.4.3. |
Ch 8 Sec 4 Lesson 3: Rotation of Axes (pp. 669 - 671) materials correlated to this standard →
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LESSON |
PH.8.4.4. |
Ch 8 Sec 4 Lesson 4: Discriminant Test (pp. 671 - 672) materials correlated to this standard →
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SECTION |
PH.8.5. |
Ch 8 Section 5: Polar Equations of Conics |
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LESSON |
PH.8.5.1. |
Ch 8 Sec 5 Lesson 1: Eccentricity Revisited (pp. 675 - 675) materials correlated to this standard →
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LESSON |
PH.8.5.2. |
Ch 8 Sec 5 Lesson 2: Writing Polar Equations for Conics (pp. 676 - 678) materials correlated to this standard →
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LESSON |
PH.8.5.3. |
Ch 8 Sec 5 Lesson 3: Analyzing Polar Equations of Conics (pp. 679 - 679) materials correlated to this standard →
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LESSON |
PH.8.5.4. |
Ch 8 Sec 5 Lesson 4: Orbits Revisited (pp. 680 - 681) materials correlated to this standard →
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SECTION |
PH.8.6. |
Ch 8 Section 6: Three-Dimensional Cartesian Coordinate System |
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LESSON |
PH.8.6.1. |
Ch 8 Sec 6 Lesson 1: Three-Dimensional Cartesian Coordinates (pp. 685 - 686) materials correlated to this standard →
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LESSON |
PH.8.6.2. |
Ch 8 Sec 6 Lesson 2: Distance and Midpoint Formulas (pp. 686 - 687) materials correlated to this standard →
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LESSON |
PH.8.6.3. |
Ch 8 Sec 6 Lesson 3: Equation of a Sphere (pp. 687 - 688) materials correlated to this standard →
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LESSON |
PH.8.6.4. |
Ch 8 Sec 6 Lesson 4: Planes and Other Surfaces (pp. 689 - 690) materials correlated to this standard →
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LESSON |
PH.8.6.5. |
Ch 8 Sec 6 Lesson 5: Vectors in Space (pp. 690 - 691) materials correlated to this standard →
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LESSON |
PH.8.6.6. |
Ch 8 Sec 6 Lesson 6: Lines in Space (pp. 691 - 692) materials correlated to this standard →
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CHAPTER |
PH.9. |
Chapter 9: Discrete Mathematics |
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SECTION |
PH.9.1. |
Ch 9 Section 1: Basic Combinatorics |
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LESSON |
PH.9.1.1. |
Ch 9 Sec 1 Lesson 1: Discrete Versus Continuous (pp. 700 - 700) materials correlated to this standard →
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LESSON |
PH.9.1.2. |
Ch 9 Sec 1 Lesson 2: The Importance of Counting (pp. 700 - 701) materials correlated to this standard →
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LESSON |
PH.9.1.3. |
Ch 9 Sec 1 Lesson 3: The Multiplication Principle of Counting (pp. 701 - 702) materials correlated to this standard →
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LESSON |
PH.9.1.4. |
Ch 9 Sec 1 Lesson 4: Permutations (pp. 702 - 704) materials correlated to this standard →
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LESSON |
PH.9.1.5. |
Ch 9 Sec 1 Lesson 5: Combinations (pp. 704 - 706) materials correlated to this standard →
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LESSON |
PH.9.1.6. |
Ch 9 Sec 1 Lesson 6: Subsets of an n-Set (pp. 706 - 707) materials correlated to this standard →
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SECTION |
PH.9.2. |
Ch 9 Section 2: The Binomial Theorem |
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LESSON |
PH.9.2.1. |
Ch 9 Sec 2 Lesson 1: Powers of Binomials (pp. 711 - 712) materials correlated to this standard →
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LESSON |
PH.9.2.2. |
Ch 9 Sec 2 Lesson 2: Pascal's Triangle (pp. 712 - 714) materials correlated to this standard →
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LESSON |
PH.9.2.3. |
Ch 9 Sec 2 Lesson 3: The Binomial Theorem (pp. 714 - 714) materials correlated to this standard →
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LESSON |
PH.9.2.4. |
Ch 9 Sec 2 Lesson 4: Factorial Identities (pp. 714 - 715) materials correlated to this standard →
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SECTION |
PH.9.3. |
Ch 9 Section 3: Probability |
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LESSON |
PH.9.3.1. |
Ch 9 Sec 3 Lesson 1: Sample Spaces and Probability Functions (pp. 718 - 720) materials correlated to this standard →
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LESSON |
PH.9.3.2. |
Ch 9 Sec 3 Lesson 2: Determining Probabilities (pp. 721 - 722) materials correlated to this standard →
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LESSON |
PH.9.3.3. |
Ch 9 Sec 3 Lesson 3: Venn Diagrams and Tree Diagrams (pp. 723 - 724) materials correlated to this standard →
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LESSON |
PH.9.3.4. |
Ch 9 Sec 3 Lesson 4: Conditional Probability (pp. 724 - 725) materials correlated to this standard →
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LESSON |
PH.9.3.5. |
Ch 9 Sec 3 Lesson 5: Binomial Distributions (pp. 726 - 727) materials correlated to this standard →
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SECTION |
PH.9.4. |
Ch 9 Section 4: Sequences |
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LESSON |
PH.9.4.1. |
Ch 9 Sec 4 Lesson 1: Infinite Sequences (pp. 732 - 733) materials correlated to this standard →
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LESSON |
PH.9.4.2. |
Ch 9 Sec 4 Lesson 2: Limits of Infinite Sequences (pp. 733 - 734) materials correlated to this standard →
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LESSON |
PH.9.4.3. |
Ch 9 Sec 4 Lesson 3: Arithmetic and Geometric Sequences (pp. 734 - 736) materials correlated to this standard →
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LESSON |
PH.9.4.4. |
Ch 9 Sec 4 Lesson 4: Sequences and Graphing Calculators (pp. 737 - 738) materials correlated to this standard →
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SECTION |
PH.9.5. |
Ch 9 Section 5: Series |
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LESSON |
PH.9.5.1. |
Ch 9 Sec 5 Lesson 1: Summation Notation (pp. 742 - 742) materials correlated to this standard →
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LESSON |
PH.9.5.2. |
Ch 9 Sec 5 Lesson 2: Sums of Arithmetic and Geometric Sequences (pp. 742 - 746) materials correlated to this standard →
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LESSON |
PH.9.5.3. |
Ch 9 Sec 5 Lesson 3: Infinite Series (pp. 746 - 747) materials correlated to this standard →
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LESSON |
PH.9.5.4. |
Ch 9 Sec 5 Lesson 4: Convergence of Geometric Series (pp. 748 - 749) materials correlated to this standard →
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SECTION |
PH.9.6. |
Ch 9 Section 6: Mathematical Induction |
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LESSON |
PH.9.6.1. |
Ch 9 Sec 6 Lesson 1: The Tower of Hanoi Problem (pp. 752 - 753) materials correlated to this standard →
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LESSON |
PH.9.6.2. |
Ch 9 Sec 6 Lesson 2: Principles of Mathematic Induction (pp. 753 - 755) materials correlated to this standard →
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LESSON |
PH.9.6.3. |
Ch 9 Sec 6 Lesson 3: Induction and Deduction (pp. 755 - 755) materials correlated to this standard →
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SECTION |
PH.9.7. |
Ch 9 Section 7: Statistics and Data (Graphical) |
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LESSON |
PH.9.7.1. |
Ch 9 Sec 7 Lesson 1: Statistics (pp. 759 - 759) materials correlated to this standard →
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LESSON |
PH.9.7.2. |
Ch 9 Sec 7 Lesson 2: Displaying Categorical Data (pp. 759 - 760) materials correlated to this standard →
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LESSON |
PH.9.7.3. |
Ch 9 Sec 7 Lesson 3: Stemplots (pp. 760 - 763) materials correlated to this standard →
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LESSON |
PH.9.7.4. |
Ch 9 Sec 7 Lesson 4: Frequency Tables (pp. 764 - 764) materials correlated to this standard →
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LESSON |
PH.9.7.5. |
Ch 9 Sec 7 Lesson 5: Histograms (pp. 764 - 765) materials correlated to this standard →
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LESSON |
PH.9.7.6. |
Ch 9 Sec 7 Lesson 6: Time Plots (pp. 765 - 767) materials correlated to this standard →
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SECTION |
PH.9.8. |
Ch 9 Section 8: Statistics and Data (Algebraic) |
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LESSON |
PH.9.8.1. |
Ch 9 Sec 8 Lesson 1: Parameters and Statistics (pp. 771 - 771) materials correlated to this standard →
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LESSON |
PH.9.8.2. |
Ch 9 Sec 8 Lesson 2: Mean, Median and Mode (pp. 771 - 775) materials correlated to this standard →
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LESSON |
PH.9.8.3. |
Ch 9 Sec 8 Lesson 3: The Five-Number Summary (pp. 775 - 777) materials correlated to this standard →
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LESSON |
PH.9.8.4. |
Ch 9 Sec 8 Lesson 4: Boxplots (pp. 777 - 778) materials correlated to this standard →
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LESSON |
PH.9.8.5. |
Ch 9 Sec 8 Lesson 5: Variance and Standard Deviation (pp. 778 - 780) materials correlated to this standard →
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LESSON |
PH.9.8.6. |
Ch 9 Sec 8 Lesson 6: Normal Distributions (pp. 780 - 781) materials correlated to this standard →
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CHAPTER |
PH.10. |
Chapter 10: An Introduction to Calculus: Limits, Derivatives, and Integrals |
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SECTION |
PH.10.1. |
Ch 10 Section 1: Limits and Motion: The Tangent Problem |
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LESSON |
PH.10.1.1. |
Ch 10 Sec 1 Lesson 1: Average Velocity (pp. 792 - 792) materials correlated to this standard →
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LESSON |
PH.10.1.2. |
Ch 10 Sec 1 Lesson 2: Instantaneous Velocity (pp. 793 - 793) materials correlated to this standard →
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LESSON |
PH.10.1.3. |
Ch 10 Sec 1 Lesson 3: Limits Revisited (pp. 793 - 794) materials correlated to this standard →
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LESSON |
PH.10.1.4. |
Ch 10 Sec 1 Lesson 4: The Connection to Tangent Lines (pp. 795 - 796) materials correlated to this standard →
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LESSON |
PH.10.1.5. |
Ch 10 Sec 1 Lesson 5: The Derivative (pp. 796 - 800) materials correlated to this standard →
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SECTION |
PH.10.2. |
Ch 10 Section 2: Limits and Motion: The Area Problem |
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LESSON |
PH.10.2.1. |
Ch 10 Sec 2 Lesson 1: Distance from a Constant Velocity (pp. 804 - 805) materials correlated to this standard →
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LESSON |
PH.10.2.2. |
Ch 10 Sec 2 Lesson 2: Distance from a Changing Velocity (pp. 805 - 805) materials correlated to this standard →
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LESSON |
PH.10.2.3. |
Ch 10 Sec 2 Lesson 3: Limits at Infinity (pp. 805 - 806) materials correlated to this standard →
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LESSON |
PH.10.2.4. |
Ch 10 Sec 2 Lesson 4: The Connection to Areas (pp. 806 - 807) materials correlated to this standard →
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LESSON |
PH.10.2.5. |
Ch 10 Sec 2 Lesson 5: The Definite Integral (pp. 808 - 809) materials correlated to this standard →
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SECTION |
PH.10.3. |
Ch 10 Section 3: More on Limits |
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LESSON |
PH.10.3.1. |
Ch 10 Sec 3 Lesson 1: A Little History (pp. 813 - 813) materials correlated to this standard →
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LESSON |
PH.10.3.2. |
Ch 10 Sec 3 Lesson 2: Defining A Limit Informally (pp. 813 - 814) materials correlated to this standard →
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LESSON |
PH.10.3.3. |
Ch 10 Sec 3 Lesson 3: Properties of Limits (pp. 815 - 816) materials correlated to this standard →
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LESSON |
PH.10.3.4. |
Ch 10 Sec 3 Lesson 4: Limits of Continuous Functions (pp. 816 - 817) materials correlated to this standard →
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LESSON |
PH.10.3.5. |
Ch 10 Sec 3 Lesson 5: One-Sided and Two-Sided Limits (pp. 817 - 818) materials correlated to this standard →
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LESSON |
PH.10.3.6. |
Ch 10 Sec 3 Lesson 6: Limits Involving Infinity (pp. 818 - 821) materials correlated to this standard →
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SECTION |
PH.10.4. |
Ch 10 Section 4: Numerical Derivatives and Integrals |
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LESSON |
PH.10.4.1. |
Ch 10 Sec 4 Lesson 1: Derivatives on a Calculator (pp. 826 - 827) materials correlated to this standard →
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LESSON |
PH.10.4.2. |
Ch 10 Sec 4 Lesson 2: Definite Integrals on a Calculator (pp. 827 - 829) materials correlated to this standard →
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LESSON |
PH.10.4.3. |
Ch 10 Sec 4 Lesson 3: Computing a Derivative from Data (pp. 829 - 830) materials correlated to this standard →
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LESSON |
PH.10.4.4. |
Ch 10 Sec 4 Lesson 4: Computing A Definite Integral from Data (pp. 830 - 831) materials correlated to this standard →
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