PH - Precalculus Graphical Numerical Algebraic c2007

Mathematics - Grade 11

CHAPTER | PH.P. | Chapter P: Prerequisites | |||||

SECTION | PH.P.1. | Ch P Section 1: Real Numbers | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.1.1. | Ch 1 Section 1: Modeling and Equation Solving | |||||

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) | |||||

SECTION | PH.1.2. | Ch 1 Section 2: Functions and Their Properties | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.2.1. | Ch 2 Section 1: Linear and quadratic Functions and Modeling | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.3.1. | Ch 3 Section 1: Exponential and Logistic Functions | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.4.1. | Ch 4 Section 1: Angles and Their Measures | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.5.1. | Ch 5 Section 1: Fundamental Identities | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.6.1. | Ch 6 Section 1: Vectors in the Plane | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.7.1. | Ch 7 Section 1: Solving Systems of Two Equations | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.8.1. | Ch 8 Section 1: Conic Sections and Parabolas | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

SECTION | PH.9.1. | Ch 9 Section 1: Basic Combinatorics | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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 | |||||

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) | |||||

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) | |||||

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 | |||||

SECTION | PH.10.1. | Ch 10 Section 1: Limits and Motion: The Tangent Problem | |||||

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 | |||||

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 | |||||

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 | |||||

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 → |