Standards

PH - Calculus Graphical Numerical Algebraic c2007
Mathematics - Grade 11


UNIT			PH.1.	Chapter 1: Prerequisites for Calculus
	CHAPTER		PH.1.1.	Ch 1 Sec 1: Lines
		SECTION	PH.1.1.1.	Ch 1 Sec 1 Lesson 1: Increments (pp. 3 - 3) materials correlated to this standard →
		SECTION	PH.1.1.2.	Ch 1 Sec 1 Lesson 2: Slope of a Line (pp. 3 - 4) materials correlated to this standard →
		SECTION	PH.1.1.3.	Ch 1 Sec 1 Lesson 3: Parallel and Perpendicular Lines (pp. 4 - 4) materials correlated to this standard →
		SECTION	PH.1.1.4.	Ch 1 Sec 1 Lesson 4: Equations of Lines (pp. 4 - 6) materials correlated to this standard →
		SECTION	PH.1.1.5.	Ch 1 Sec 1 Lesson 5: Applications (pp. 6 - 8) materials correlated to this standard →
	CHAPTER		PH.1.2.	Ch 1 Sec 2: Functions and Graphs
		SECTION	PH.1.2.1.	Ch 1 Sec 2 Lesson 1: Functions (pp. 12 - 13) materials correlated to this standard →
		SECTION	PH.1.2.2.	Ch 1 Sec 2 Lesson 2: Domains and Ranges (pp. 13 - 13) materials correlated to this standard →
		SECTION	PH.1.2.3.	Ch 1 Sec 2 Lesson 3: Viewing and Interpreting Graphs (pp. 13 - 15) materials correlated to this standard →
		SECTION	PH.1.2.4.	Ch 1 Sec 2 Lesson 4: Even Functions and Odd Functions---Symmetry (pp. 15 - 16) materials correlated to this standard →
		SECTION	PH.1.2.5.	Ch 1 Sec 2 Lesson 5: Functions Defined in Pieces (pp. 16 - 17) materials correlated to this standard →
		SECTION	PH.1.2.6.	Ch 1 Sec 2 Lesson 6: Absolute Value Function (pp. 17 - 17) materials correlated to this standard →
		SECTION	PH.1.2.7.	Ch 1 Sec 2 Lesson 7: Composite Functions (pp. 17 - 18) materials correlated to this standard →
	CHAPTER		PH.1.3.	Ch 1 Sec 3: Exponential Functions
		SECTION	PH.1.3.1.	Ch 1 Sec 3 Lesson 1: Exponential Growth (pp. 22 - 24) materials correlated to this standard →
		SECTION	PH.1.3.2.	Ch 1 Sec 3 Lesson 2: Exponential Decay (pp. 24 - 24) materials correlated to this standard →
		SECTION	PH.1.3.3.	Ch 1 Sec 3 Lesson 3: Applications (pp. 24 - 25) materials correlated to this standard →
		SECTION	PH.1.3.4.	Ch 1 Sec 3 Lesson 4: The Number e (pp. 25 - 25) materials correlated to this standard →
	CHAPTER		PH.1.4.	Ch 1 Sec 4: Parametric Equations
		SECTION	PH.1.4.1.	Ch 1 Sec 4 Lesson 1: Relations (pp. 30 - 31) materials correlated to this standard →
		SECTION	PH.1.4.2.	Ch 1 Sec 4 Lesson 2: Circles (pp. 31 - 31) materials correlated to this standard →
		SECTION	PH.1.4.3.	Ch 1 Sec 4 Lesson 3: Ellipses (pp. 32 - 32) materials correlated to this standard →
		SECTION	PH.1.4.4.	Ch 1 Sec 4 Lesson 4: Lines and Other Curves (pp. 32 - 34) materials correlated to this standard →
	CHAPTER		PH.1.5.	Ch 1 Sec 5: Functions and Logarithms
		SECTION	PH.1.5.1.	Ch 1 Sec 5 Lesson 1: One-to-One Functions (pp. 37 - 38) materials correlated to this standard →
		SECTION	PH.1.5.2.	Ch 1 Sec 5 Lesson 2: Inverses (pp. 38 - 38) materials correlated to this standard →
		SECTION	PH.1.5.3.	Ch 1 Sec 5 Lesson 3: Finding Inverses (pp. 38 - 40) materials correlated to this standard →
		SECTION	PH.1.5.4.	Ch 1 Sec 5 Lesson 4: Logarithmic Functions (pp. 40 - 41) materials correlated to this standard →
		SECTION	PH.1.5.5.	Ch 1 Sec 5 Lesson 5: Properties of Logarithms (pp. 41 - 42) materials correlated to this standard →
		SECTION	PH.1.5.6.	Ch 1 Sec 5 Lesson 6: Applications (pp. 42 - 43) materials correlated to this standard →
	CHAPTER		PH.1.6.	Ch 1 Sec 6: Trigonometric Functions
		SECTION	PH.1.6.1.	Ch 1 Sec 6 Lesson 1: Radian Measure (pp. 46 - 46) materials correlated to this standard →
		SECTION	PH.1.6.2.	Ch 1 Sec 6 Lesson 2: Graphs of Trigonometric Functions (pp. 46 - 47) materials correlated to this standard →
		SECTION	PH.1.6.3.	Ch 1 Sec 6 Lesson 3: Periodicity (pp. 47 - 47) materials correlated to this standard →
		SECTION	PH.1.6.4.	Ch 1 Sec 6 Lesson 4: Even and Odd Trigonometric Functions (pp. 47 - 48) materials correlated to this standard →
		SECTION	PH.1.6.5.	Ch 1 Sec 6 Lesson 5: Transformations of Trigonometric Graphs (pp. 48 - 49) materials correlated to this standard →
		SECTION	PH.1.6.6.	Ch 1 Sec 6 Lesson 6: Inverse Trigonometric Functions (pp. 49 - 51) materials correlated to this standard →

UNIT			PH.2.	Chapter 2: Limits and Continuity
	CHAPTER		PH.2.1.	Ch 2 Sec 1: Rates of Change and Limits
		SECTION	PH.2.1.1.	Ch 2 Sec 1 Lesson 1: Average and Instantaneous Speed (pp. 59 - 60) materials correlated to this standard →
		SECTION	PH.2.1.2.	Ch 2 Sec 1 Lesson 2: Definition of Limit (pp. 60 - 61) materials correlated to this standard →
		SECTION	PH.2.1.3.	Ch 2 Sec 1 Lesson 3: Properties of Limits (pp. 61 - 63) materials correlated to this standard →
		SECTION	PH.2.1.4.	Ch 2 Sec 1 Lesson 4: One-sided and Two-sided Limits (pp. 63 - 64) materials correlated to this standard →
		SECTION	PH.2.1.5.	Ch 2 Sec 1 Lesson 5: Sandwich Theorem (pp. 65 - 65) materials correlated to this standard →
	CHAPTER		PH.2.2.	Ch 2 Sec 2: Limits Involving Infinity
		SECTION	PH.2.2.1.	Ch 2 Sec 2 Lesson 1: Finite Limits as x approaches infinity (pp. 70 - 71) materials correlated to this standard →
		SECTION	PH.2.2.2.	Ch 2 Sec 2 Lesson 2: Sandwich Theorem Revisited (pp. 71 - 72) materials correlated to this standard →
		SECTION	PH.2.2.3.	Ch 2 Sec 2 Lesson 3: Infinite Limits as x approaches alpha (pp. 72 - 73) materials correlated to this standard →
		SECTION	PH.2.2.4.	Ch 2 Sec 2 Lesson 4: End Behavior Models (pp. 73 - 75) materials correlated to this standard →
		SECTION	PH.2.2.5.	Ch 2 Sec 2 Lesson 5: Seeing'' Limits as x approaches infinity (pp. 75 - 75) materials correlated to this standard →
	CHAPTER		PH.2.3.	Ch 2 Sec 3: Continuity
		SECTION	PH.2.3.1.	Ch 2 Sec 3 Lesson 1: Continuity at a Point (pp. 78 - 81) materials correlated to this standard →
		SECTION	PH.2.3.2.	Ch 2 Sec 3 Lesson 2: Continuous Functions (pp. 81 - 81) materials correlated to this standard →
		SECTION	PH.2.3.3.	Ch 2 Sec 3 Lesson 3: Algebraic Combinations (pp. 81 - 82)
		SECTION	PH.2.3.4.	Ch 2 Sec 3 Lesson 4: Composites (pp. 82 - 82)
		SECTION	PH.2.3.5.	Ch 2 Sec 3 Lesson 5: Intermediate Value Theorem for Continuous Functions (pp. 83 - 83) materials correlated to this standard →
	CHAPTER		PH.2.4.	Ch 2 Sec 4: Rates of Change and Tangent Lines
		SECTION	PH.2.4.1.	Ch 2 Sec 4 Lesson 1: Average Rates of Change (pp. 87 - 88) materials correlated to this standard →
		SECTION	PH.2.4.2.	Ch 2 Sec 4 Lesson 2: Tangent to a Curve (pp. 88 - 89) materials correlated to this standard →
		SECTION	PH.2.4.3.	Ch 2 Sec 4 Lesson 3: Slope of a Curve (pp. 89 - 90) materials correlated to this standard →
		SECTION	PH.2.4.4.	Ch 2 Sec 4 Lesson 4: Normal to a Curve (pp. 90 - 90) materials correlated to this standard →
		SECTION	PH.2.4.5.	Ch 2 Sec 4 Lesson 5: Speed Revisited (pp. 90 - 90) materials correlated to this standard →

UNIT			PH.3.	Chapter 3: Derivatives
	CHAPTER		PH.3.1.	Ch 3 Sec 1: Derivative of a Function
		SECTION	PH.3.1.1.	Ch 3 Sec 1 Lesson 1: Definition of a Derivative (pp. 99 - 101) materials correlated to this standard →
		SECTION	PH.3.1.2.	Ch 3 Sec 1 Lesson 2: Notation (pp. 101 - 101) materials correlated to this standard →
		SECTION	PH.3.1.3.	Ch 3 Sec 1 Lesson 3: Relationship Between the Graphs of f and f' (pp. 101 - 102) materials correlated to this standard →
		SECTION	PH.3.1.4.	Ch 3 Sec 1 Lesson 4: Graphing the Derivative from Data (pp. 103 - 104) materials correlated to this standard →
		SECTION	PH.3.1.5.	Ch 3 Sec 1 Lesson 5: One-sided Derivatives (pp. 104 - 104) materials correlated to this standard →
	CHAPTER		PH.3.2.	Ch 3 Sec 2: Differentiability
		SECTION	PH.3.2.1.	Ch 3 Sec 2 Lesson 1: How f'(a) Might Fail to Exist (pp. 109 - 110) materials correlated to this standard →
		SECTION	PH.3.2.2.	Ch 3 Sec 2 Lesson 2: Differentiability Implies Local Linearity (pp. 110 - 110) materials correlated to this standard →
		SECTION	PH.3.2.3.	Ch 3 Sec 2 Lesson 3: Derivatives on a Calculator (pp. 111 - 112) materials correlated to this standard →
		SECTION	PH.3.2.4.	Ch 3 Sec 2 Lesson 4: Differentiability Implies Continuity (pp. 112 - 113) materials correlated to this standard →
		SECTION	PH.3.2.5.	Ch 3 Sec 2 Lesson 5: Intermediate Value Theorem for Derivatives (pp. 113 - 113) materials correlated to this standard →
	CHAPTER		PH.3.3.	Ch 3 Sec 3: Rules for Differentiation
		SECTION	PH.3.3.1.	Ch 3 Sec 3 Lesson 1: Positive Integer Powers, Multiples, Sums, and Differences (pp. 116 - 119) materials correlated to this standard →
		SECTION	PH.3.3.2.	Ch 3 Sec 3 Lesson 2: Products and Quotients (pp. 119 - 121) materials correlated to this standard →
		SECTION	PH.3.3.3.	Ch 3 Sec 3 Lesson 3: Negative Integer Powers of x (pp. 121 - 122) materials correlated to this standard →
		SECTION	PH.3.3.4.	Ch 3 Sec 3 Lesson 4: Second and Higher Order Derivatives (pp. 122 - 123) materials correlated to this standard →
	CHAPTER		PH.3.4.	Ch 3 Sec 4: Velocity and Other Rates of Change
		SECTION	PH.3.4.1.	Ch 3 Sec 4 Lesson 1: Instantaneous Rates of Change (pp. 127 - 128) materials correlated to this standard →
		SECTION	PH.3.4.2.	Ch 3 Sec 4 Lesson 2: Motion along a Line (pp. 128 - 133) materials correlated to this standard →
		SECTION	PH.3.4.3.	Ch 3 Sec 4 Lesson 3: Sensitivity to Change (pp. 133 - 133) materials correlated to this standard →
		SECTION	PH.3.4.4.	Ch 3 Sec 4 Lesson 4: Derivatives in Economics (pp. 133 - 134) materials correlated to this standard →
	CHAPTER		PH.3.5.	Ch 3 Sec 5: Derivatives of Trigonometric Functions
		SECTION	PH.3.5.1.	Ch 3 Sec 5 Lesson 1: Derivative of the Sine Function (pp. 141 - 142) materials correlated to this standard →
		SECTION	PH.3.5.2.	Ch 3 Sec 5 Lesson 2: Derivative of the Cosine Function (pp. 142 - 143) materials correlated to this standard →
		SECTION	PH.3.5.3.	Ch 3 Sec 5 Lesson 3: Simple Harmonic Motion (pp. 143 - 144) materials correlated to this standard →
		SECTION	PH.3.5.4.	Ch 3 Sec 5 Lesson 4: Jerk (pp. 144 - 144) materials correlated to this standard →
		SECTION	PH.3.5.5.	Ch 3 Sec 5 Lesson 5: Derivatives of Other Basic Trigonometric Functions (pp. 144 - 145) materials correlated to this standard →
	CHAPTER		PH.3.6.	Ch 3 Sec 6: Chain Rule
		SECTION	PH.3.6.1.	Ch 3 Sec 6 Lesson 1: Derivative of a Composite Function (pp. 148 - 150) materials correlated to this standard →
		SECTION	PH.3.6.2.	Ch 3 Sec 6 Lesson 2: ``Outside-Inside'' Rule (pp. 150 - 150) materials correlated to this standard →
		SECTION	PH.3.6.3.	Ch 3 Sec 6 Lesson 3: Repeated Use of the Chain Rule (pp. 150 - 150) materials correlated to this standard →
		SECTION	PH.3.6.4.	Ch 3 Sec 6 Lesson 4: Slopes of Parametrized Curves (pp. 150 - 151) materials correlated to this standard →
		SECTION	PH.3.6.5.	Ch 3 Sec 6 Lesson 5: Power Chain Rule (pp. 151 - 152) materials correlated to this standard →
	CHAPTER		PH.3.7.	Ch 3 Sec 7: Implicit Differentiation
		SECTION	PH.3.7.1.	Ch 3 Sec 7 Lesson 1: Implicitly Defined Functions (pp. 157 - 159) materials correlated to this standard →
		SECTION	PH.3.7.2.	Ch 3 Sec 7 Lesson 2: Lenses, Tangents, and Normal Lines (pp. 159 - 160) materials correlated to this standard →
		SECTION	PH.3.7.3.	Ch 3 Sec 7 Lesson 3: Derivatives of Higher Order (pp. 160 - 160) materials correlated to this standard →
		SECTION	PH.3.7.4.	Ch 3 Sec 7 Lesson 4: Rational Powers of Differentiable Functions (pp. 161 - 161) materials correlated to this standard →
	CHAPTER		PH.3.8.	Ch 3 Sec 8: Derivatives of Inverse Trigonometric Functions
		SECTION	PH.3.8.1.	Ch 3 Sec 8 Lesson 1: Derivatives of Inverse Functions (pp. 165 - 166) materials correlated to this standard →
		SECTION	PH.3.8.2.	Ch 3 Sec 8 Lesson 2: Derivative of the Arcsine (pp. 166 - 167) materials correlated to this standard →
		SECTION	PH.3.8.3.	Ch 3 Sec 8 Lesson 3: Derivative of the Arctangent (pp. 167 - 167) materials correlated to this standard →
		SECTION	PH.3.8.4.	Ch 3 Sec 8 Lesson 4: Derivative of the Arcsecant (pp. 167 - 168) materials correlated to this standard →
		SECTION	PH.3.8.5.	Ch 3 Sec 8 Lesson 5: Derivatives of the Other Three (pp. 168 - 169) materials correlated to this standard →
	CHAPTER		PH.3.9.	Ch 3 Sec 9: Derivatives of Exponential and Logarithmic Functions
		SECTION	PH.3.9.1.	Ch 3 Sec 9 Lesson 1: Derivative of ex (pp. 172 - 172) materials correlated to this standard →
		SECTION	PH.3.9.2.	Ch 3 Sec 9 Lesson 2: Derivative of alpha x (pp. 173 - 174) materials correlated to this standard →
		SECTION	PH.3.9.3.	Ch 3 Sec 9 Lesson 3: Derivative of In x (pp. 174 - 175) materials correlated to this standard →
		SECTION	PH.3.9.4.	Ch 3 Sec 9 Lesson 4: Derivative of log alpha x (pp. 175 - 176) materials correlated to this standard →
		SECTION	PH.3.9.5.	Ch 3 Sec 9 Lesson 5: Power Rule for Arbitrary Real Powers (pp. 176 - 178) materials correlated to this standard →

UNIT			PH.4.	Chapter 4: Applications of Derivatives
	CHAPTER		PH.4.1.	Ch 4 Sec 1: Extreme Values of Functions
		SECTION	PH.4.1.1.	Ch 4 Sec 1 Lesson 1: Absolute (Global) Extreme Values (pp. 187 - 189) materials correlated to this standard →
		SECTION	PH.4.1.2.	Ch 4 Sec 1 Lesson 2: Local (Relative) Extreme Values (pp. 189 - 189) materials correlated to this standard →
		SECTION	PH.4.1.3.	Ch 4 Sec 1 Lesson 3: Finding Extreme Values (pp. 189 - 193) materials correlated to this standard →
	CHAPTER		PH.4.2.	Ch 4 Sec 2: Mean Value Theorem
		SECTION	PH.4.2.1.	Ch 4 Sec 2 Lesson 1: Mean Value Theorem (pp. 196 - 198) materials correlated to this standard →
		SECTION	PH.4.2.2.	Ch 4 Sec 2 Lesson 2: Physical Interpretation (pp. 198 - 198) materials correlated to this standard →
		SECTION	PH.4.2.3.	Ch 4 Sec 2 Lesson 3: Increasing and Decreasing Functions (pp. 198 - 199) materials correlated to this standard →
		SECTION	PH.4.2.4.	Ch 4 Sec 2 Lesson 4: Other Consequences (pp. 199 - 201) materials correlated to this standard →
	CHAPTER		PH.4.3.	Ch 4 Sec 3: Connecting f' and f'' with the Graph of f
		SECTION	PH.4.3.1.	Ch 4 Sec 3 Lesson 1: First Derivative Test for Local Extrema (pp. 205 - 207) materials correlated to this standard →
		SECTION	PH.4.3.2.	Ch 4 Sec 3 Lesson 2: Concavity (pp. 207 - 208) materials correlated to this standard →
		SECTION	PH.4.3.3.	Ch 4 Sec 3 Lesson 3: Points of Inflection (pp. 208 - 211) materials correlated to this standard →
		SECTION	PH.4.3.4.	Ch 4 Sec 3 Lesson 4: Second Derivative Test for Local Extrema (pp. 211 - 213) materials correlated to this standard →
		SECTION	PH.4.3.5.	Ch 4 Sec 3 Lesson 5: Learning about Functions from Derivatives (pp. 213 - 214) materials correlated to this standard →
	CHAPTER		PH.4.4.	Ch 4 Sec 4: Modeling and Optimization
		SECTION	PH.4.4.1.	Ch 4 Sec 4 Lesson 1: Examples from Mathematics (pp. 219 - 220) materials correlated to this standard →
		SECTION	PH.4.4.2.	Ch 4 Sec 4 Lesson 2: Examples from Business and Industry (pp. 221 - 223) materials correlated to this standard →
		SECTION	PH.4.4.3.	Ch 4 Sec 4 Lesson 3: Examples from Economics (pp. 223 - 225) materials correlated to this standard →
		SECTION	PH.4.4.4.	Ch 4 Sec 4 Lesson 4: Modeling Discrete Phenomena with Differentiable Functions (pp. 225 - 225) materials correlated to this standard →
	CHAPTER		PH.4.5.	Ch 4 Sec 5: Linearization and Newton's Method
		SECTION	PH.4.5.1.	Ch 4 Sec 5 Lesson 1: Linear Approximation (pp. 233 - 235) materials correlated to this standard →
		SECTION	PH.4.5.2.	Ch 4 Sec 5 Lesson 2: Newton's Method (pp. 235 - 237) materials correlated to this standard →
		SECTION	PH.4.5.3.	Ch 4 Sec 5 Lesson 3: Differentials (pp. 237 - 239) materials correlated to this standard →
		SECTION	PH.4.5.4.	Ch 4 Sec 5 Lesson 4: Estimating Change with Differentials (pp. 239 - 240) materials correlated to this standard →
		SECTION	PH.4.5.5.	Ch 4 Sec 5 Lesson 5: Absolute, Relative, and Percentage Change (pp. 240 - 241) materials correlated to this standard →
		SECTION	PH.4.5.6.	Ch 4 Sec 5 Lesson 6: Sensitivity to Change (pp. 242 - 242) materials correlated to this standard →
	CHAPTER		PH.4.6.	Ch 4 Sec 6: Related Rates
		SECTION	PH.4.6.1.	Ch 4 Sec 6 Lesson 1: Related Rate Equations (pp. 246 - 246) materials correlated to this standard →
		SECTION	PH.4.6.2.	Ch 4 Sec 6 Lesson 2: Solution Strategy (pp. 246 - 249) materials correlated to this standard →
		SECTION	PH.4.6.3.	Ch 4 Sec 6 Lesson 3: Simulating Related Motion (pp. 249 - 250) materials correlated to this standard →

UNIT			PH.5.	Chapter 5: The Definite Integral
	CHAPTER		PH.5.1.	Ch 5 Sec 1: Estimating with Finite Sums
		SECTION	PH.5.1.1.	Ch 5 Sec 1 Lesson 1: Distance Traveled (pp. 263 - 265) materials correlated to this standard →
		SECTION	PH.5.1.2.	Ch 5 Sec 1 Lesson 2: Rectangular Approximation Method (RAM) (pp. 265 - 267) materials correlated to this standard →
		SECTION	PH.5.1.3.	Ch 5 Sec 1 Lesson 3: Volume of a Sphere (pp. 267 - 268) materials correlated to this standard →
		SECTION	PH.5.1.4.	Ch 5 Sec 1 Lesson 4: Cardiac Output (pp. 268 - 268) materials correlated to this standard →
	CHAPTER		PH.5.2.	Ch 5 Sec 2: Definite Integrals
		SECTION	PH.5.2.1.	Ch 5 Sec 2 Lesson 1: Riemann Sums (pp. 274 - 276) materials correlated to this standard →
		SECTION	PH.5.2.2.	Ch 5 Sec 2 Lesson 2: Terminology and Notation of Integration (pp. 276 - 278) materials correlated to this standard →
		SECTION	PH.5.2.3.	Ch 5 Sec 2 Lesson 3: Definite Integral and Area (pp. 278 - 279) materials correlated to this standard →
		SECTION	PH.5.2.4.	Ch 5 Sec 2 Lesson 4: Constant Functions (pp. 280 - 280) materials correlated to this standard →
		SECTION	PH.5.2.5.	Ch 5 Sec 2 Lesson 5: Integrals on a Calculator (pp. 281 - 281) materials correlated to this standard →
		SECTION	PH.5.2.6.	Ch 5 Sec 2 Lesson 6: Discontinuous Integrable Functions (pp. 281 - 282) materials correlated to this standard →
	CHAPTER		PH.5.3.	Ch 5 Sec 3: Definite Integrals and Antiderivatives
		SECTION	PH.5.3.1.	Ch 5 Sec 3 Lesson 1: Properties of Definite Integrals (pp. 285 - 286) materials correlated to this standard →
		SECTION	PH.5.3.2.	Ch 5 Sec 3 Lesson 2: Average Value of a Function (pp. 286 - 287) materials correlated to this standard →
		SECTION	PH.5.3.3.	Ch 5 Sec 3 Lesson 3: Mean Value Theorem for Definite Integrals (pp. 287 - 288) materials correlated to this standard →
		SECTION	PH.5.3.4.	Ch 5 Sec 3 Lesson 4: Connecting Differential and Integral Calculus (pp. 288 - 290) materials correlated to this standard →
	CHAPTER		PH.5.4.	Ch 5 Sec 4: Fundamental Theorem of Calculus
		SECTION	PH.5.4.1.	Ch 5 Sec 4 Lesson 1: Fundamental Theorem, Part 1 (pp. 294 - 297) materials correlated to this standard →
		SECTION	PH.5.4.2.	Ch 5 Sec 4 Lesson 2: Graphing the Function sine x/alpha f(t)dt (pp. 297 - 299) materials correlated to this standard →
		SECTION	PH.5.4.3.	Ch 5 Sec 4 Lesson 3: Fundamental Theorem, Part 2 (pp. 299 - 300) materials correlated to this standard →
		SECTION	PH.5.4.4.	Ch 5 Sec 4 Lesson 4: Area Connection (pp. 300 - 301) materials correlated to this standard →
		SECTION	PH.5.4.5.	Ch 5 Sec 4 Lesson 5: Analyzing Antiderivatives Graphically (pp. 301 - 302) materials correlated to this standard →
	CHAPTER		PH.5.5.	Ch 5 Sec 5: Trapezoidal Rule
		SECTION	PH.5.5.1.	Ch 5 Sec 5 Lesson 1: Trapezoidal Approximations (pp. 306 - 308) materials correlated to this standard →
		SECTION	PH.5.5.2.	Ch 5 Sec 5 Lesson 2: Other Algorithms (pp. 308 - 310) materials correlated to this standard →
		SECTION	PH.5.5.3.	Ch 5 Sec 5 Lesson 3: Error Analysis (pp. 310 - 310) materials correlated to this standard →

UNIT			PH.6.	Chapter 6: Differential Equations and Mathematical Modeling
	CHAPTER		PH.6.1.	Ch 6 Sec 1: Slope Fields and Euler's Method
		SECTION	PH.6.1.1.	Ch 6 Sec 1 Lesson 1: Differential Equations (pp. 321 - 323) materials correlated to this standard →
		SECTION	PH.6.1.2.	Ch 6 Sec 1 Lesson 2: Slope Fields (pp. 323 - 325) materials correlated to this standard →
		SECTION	PH.6.1.3.	Ch 6 Sec 1 Lesson 3: Euler's Method (pp. 325 - 327) materials correlated to this standard →
	CHAPTER		PH.6.2.	Ch 6 Sec 2: Antidifferentiation by Substitution
		SECTION	PH.6.2.1.	Ch 6 Sec 2 Lesson 1: Indefinite Integrals (pp. 331 - 332) materials correlated to this standard →
		SECTION	PH.6.2.2.	Ch 6 Sec 2 Lesson 2: Leibniz Notation and Antiderivatives (pp. 333 - 333) materials correlated to this standard →
		SECTION	PH.6.2.3.	Ch 6 Sec 2 Lesson 3: Substitution in Indefinite Integrals (pp. 333 - 336) materials correlated to this standard →
		SECTION	PH.6.2.4.	Ch 6 Sec 2 Lesson 4: Substitution in Definite Integrals (pp. 336 - 337) materials correlated to this standard →
	CHAPTER		PH.6.3.	Ch 6 Sec 3: Antidifferentiation by Parts
		SECTION	PH.6.3.1.	Ch 6 Sec 3 Lesson 1: Product Rule in Integral Form (pp. 341 - 343) materials correlated to this standard →
		SECTION	PH.6.3.2.	Ch 6 Sec 3 Lesson 2: Solving for the Unknown Integral (pp. 343 - 344) materials correlated to this standard →
		SECTION	PH.6.3.3.	Ch 6 Sec 3 Lesson 3: Tabular Integration (pp. 344 - 345) materials correlated to this standard →
		SECTION	PH.6.3.4.	Ch 6 Sec 3 Lesson 4: Inverse Trigonometric and Logarithmic Functions (pp. 345 - 346) materials correlated to this standard →
	CHAPTER		PH.6.4.	Ch 6 Sec 4: Exponential Growth and Decay
		SECTION	PH.6.4.1.	Ch 6 Sec 4 Lesson 1: Separable Differential Equations (pp. 350 - 350) materials correlated to this standard →
		SECTION	PH.6.4.2.	Ch 6 Sec 4 Lesson 2: Law of Exponential Change (pp. 351 - 351) materials correlated to this standard →
		SECTION	PH.6.4.3.	Ch 6 Sec 4 Lesson 3: Continuously Compounded Interest (pp. 351 - 352) materials correlated to this standard →
		SECTION	PH.6.4.4.	Ch 6 Sec 4 Lesson 4: Radioactivity (pp. 352 - 353) materials correlated to this standard →
		SECTION	PH.6.4.5.	Ch 6 Sec 4 Lesson 5: Modeling Growth with Other Bases (pp. 353 - 354) materials correlated to this standard →
		SECTION	PH.6.4.6.	Ch 6 Sec 4 Lesson 6: Newton's Law of Cooling (pp. 354 - 356) materials correlated to this standard →
	CHAPTER		PH.6.5.	Ch 6 Sec 5: Logistic Growth
		SECTION	PH.6.5.1.	Ch 6 Sec 5 Lesson 1: How Populations Grow (pp. 362 - 362) materials correlated to this standard →
		SECTION	PH.6.5.2.	Ch 6 Sec 5 Lesson 2: Partial Fractions (pp. 362 - 365) materials correlated to this standard →
		SECTION	PH.6.5.3.	Ch 6 Sec 5 Lesson 3: The Logistic Differential Equation (pp. 365 - 367) materials correlated to this standard →
		SECTION	PH.6.5.4.	Ch 6 Sec 5 Lesson 4: Logistic Growth Models (pp. 367 - 368) materials correlated to this standard →

UNIT			PH.7.	Chapter 7: Applications of Definite Integrals
	CHAPTER		PH.7.1.	Ch 7 Sec 1: Integral As Net Change
		SECTION	PH.7.1.1.	Ch 7 Sec 1 Lesson 1: Linear Motion Revisited (pp. 379 - 382) materials correlated to this standard →
		SECTION	PH.7.1.2.	Ch 7 Sec 1 Lesson 2: General Strategy (pp. 382 - 383) materials correlated to this standard →
		SECTION	PH.7.1.3.	Ch 7 Sec 1 Lesson 3: Consumption Over Time (pp. 383 - 384) materials correlated to this standard →
		SECTION	PH.7.1.4.	Ch 7 Sec 1 Lesson 4: Net Change from Data (pp. 384 - 384) materials correlated to this standard →
		SECTION	PH.7.1.5.	Ch 7 Sec 1 Lesson 5: Work (pp. 384 - 385) materials correlated to this standard →
	CHAPTER		PH.7.2.	Ch 7 Sec 2: Areas in the Plane
		SECTION	PH.7.2.1.	Ch 7 Sec 2 Lesson 1: Area Between Curves (pp. 390 - 391) materials correlated to this standard →
		SECTION	PH.7.2.2.	Ch 7 Sec 2 Lesson 2: Area Enclosed by Intersecting Curves (pp. 391 - 392) materials correlated to this standard →
		SECTION	PH.7.2.3.	Ch 7 Sec 2 Lesson 3: Boundaries with Changing Functions (pp. 392 - 393) materials correlated to this standard →
		SECTION	PH.7.2.4.	Ch 7 Sec 2 Lesson 4: Integrating with Respect to y (pp. 393 - 394) materials correlated to this standard →
		SECTION	PH.7.2.5.	Ch 7 Sec 2 Lesson 5: Saving Time with Geometry Formulas (pp. 394 - 394) materials correlated to this standard →
	CHAPTER		PH.7.3.	Ch 7 Sec 3: Volumes
		SECTION	PH.7.3.1.	Ch 7 Sec 3 Lesson 1: Volume As an Integral (pp. 399 - 400) materials correlated to this standard →
		SECTION	PH.7.3.2.	Ch 7 Sec 3 Lesson 2: Square Cross Sections (pp. 400 - 400) materials correlated to this standard →
		SECTION	PH.7.3.3.	Ch 7 Sec 3 Lesson 3: Circular Cross Sections (pp. 400 - 401) materials correlated to this standard →
		SECTION	PH.7.3.4.	Ch 7 Sec 3 Lesson 4: Cylindrical Shells (pp. 401 - 403) materials correlated to this standard →
		SECTION	PH.7.3.5.	Ch 7 Sec 3 Lesson 5: Other Cross Sections (pp. 403 - 405) materials correlated to this standard →
	CHAPTER		PH.7.4.	Ch 7 Sec 4: Lengths of Curves
		SECTION	PH.7.4.1.	Ch 7 Sec 4 Lesson 1: A Sine Wave (pp. 412 - 412) materials correlated to this standard →
		SECTION	PH.7.4.2.	Ch 7 Sec 4 Lesson 2: Length of Smooth Curve (pp. 413 - 414) materials correlated to this standard →
		SECTION	PH.7.4.3.	Ch 7 Sec 4 Lesson 3: Vertical Tangents, Corners, and Cusps (pp. 414 - 415) materials correlated to this standard →
	CHAPTER		PH.7.5.	Ch 7 Sec 5: Applications from Science and Statistics
		SECTION	PH.7.5.1.	Ch 7 Sec 5 Lesson 1: Work Revisited (pp. 419 - 421) materials correlated to this standard →
		SECTION	PH.7.5.2.	Ch 7 Sec 5 Lesson 2: Fluid Force and Fluid Pressure (pp. 421 - 422) materials correlated to this standard →
		SECTION	PH.7.5.3.	Ch 7 Sec 5 Lesson 3: Normal Probabilities (pp. 422 - 424) materials correlated to this standard →

UNIT			PH.8.	Chapter 8: Sequences, L'Hopital's Rule, and Improper Integrals
	CHAPTER		PH.8.1.	Ch 8 Sec 1: Sequences
		SECTION	PH.8.1.1.	Ch 8 Sec 1 Lesson 1: Defining a Sequence (pp. 435 - 436) materials correlated to this standard →
		SECTION	PH.8.1.2.	Ch 8 Sec 1 Lesson 2: Arithmetic and Geometric Sequences (pp. 436 - 438) materials correlated to this standard →
		SECTION	PH.8.1.3.	Ch 8 Sec 1 Lesson 3: Graphing a Sequence (pp. 438 - 438) materials correlated to this standard →
		SECTION	PH.8.1.4.	Ch 8 Sec 1 Lesson 4: Limit of a Sequence (pp. 439 - 440) materials correlated to this standard →
	CHAPTER		PH.8.2.	Ch 8 Sec 2: L'Hopital's Rule
		SECTION	PH.8.2.1.	Ch 8 Sec 2 Lesson 1: Indeterminate Form 0/0 (pp. 444 - 446) materials correlated to this standard →
		SECTION	PH.8.2.2.	Ch 8 Sec 2 Lesson 2: Indeterminate Forms infinity/infinity, infinity 0, and infinity - infinity (pp. 446 - 448) materials correlated to this standard →
		SECTION	PH.8.2.3.	Ch 8 Sec 2 Lesson 3: Indeterminate Forms 1infinity, 00, infinity0 (pp. 448 - 450) materials correlated to this standard →
	CHAPTER		PH.8.3.	Ch 8 Sec 3: Relative Rates of Growth
		SECTION	PH.8.3.1.	Ch 8 Sec 3 Lesson 1: Comparing Rates of Growth (pp. 453 - 454) materials correlated to this standard →
		SECTION	PH.8.3.2.	Ch 8 Sec 3 Lesson 2: Using L'Hopital's Rule to Compare Growth Rates (pp. 454 - 456) materials correlated to this standard →
		SECTION	PH.8.3.3.	Ch 8 Sec 3 Lesson 3: Sequential versus Binary Search (pp. 456 - 457) materials correlated to this standard →
	CHAPTER		PH.8.4.	Ch 8 Sec 4: Improper Integrals
		SECTION	PH.8.4.1.	Ch 8 Sec 4 Lesson 1: Infinite Limits of Integration (pp. 459 - 462) materials correlated to this standard →
		SECTION	PH.8.4.2.	Ch 8 Sec 4 Lesson 2: Integrands with Infinite Discontinuities (pp. 462 - 464) materials correlated to this standard →
		SECTION	PH.8.4.3.	Ch 8 Sec 4 Lesson 3: Test for Convergence and Divergence (pp. 464 - 465) materials correlated to this standard →
		SECTION	PH.8.4.4.	Ch 8 Sec 4 Lesson 4: Applications (pp. 465 - 467) materials correlated to this standard →

UNIT			PH.9.	Chapter 9: Infinite Series
	CHAPTER		PH.9.1.	Ch 9 Sec 1: Power Series
		SECTION	PH.9.1.1.	Ch 9 Sec 1 Lesson 1: Geometric Series (pp. 473 - 476) materials correlated to this standard →
		SECTION	PH.9.1.2.	Ch 9 Sec 1 Lesson 2: Representing Functions by Series (pp. 476 - 477) materials correlated to this standard →
		SECTION	PH.9.1.3.	Ch 9 Sec 1 Lesson 3: Differentiation and Integration (pp. 477 - 480) materials correlated to this standard →
		SECTION	PH.9.1.4.	Ch 9 Sec 1 Lesson 4: Identifying a Series (pp. 480 - 480) materials correlated to this standard →
	CHAPTER		PH.9.2.	Ch 9 Sec 2: Taylor Series
		SECTION	PH.9.2.1.	Ch 9 Sec 2 Lesson 1: Constructing a Series (pp. 484 - 485) materials correlated to this standard →
		SECTION	PH.9.2.2.	Ch 9 Sec 2 Lesson 2: Series for sin x and cos x (pp. 485 - 486) materials correlated to this standard →
		SECTION	PH.9.2.3.	Ch 9 Sec 2 Lesson 3: Beauty Bare (pp. 486 - 487) materials correlated to this standard →
		SECTION	PH.9.2.4.	Ch 9 Sec 2 Lesson 4: Maclaurin and Taylor Series (pp. 487 - 490) materials correlated to this standard →
		SECTION	PH.9.2.5.	Ch 9 Sec 2 Lesson 5: Combining Taylor Series (pp. 490 - 491) materials correlated to this standard →
		SECTION	PH.9.2.6.	Ch 9 Sec 2 Lesson 6: Table of Maclaurin Series (pp. 491 - 491) materials correlated to this standard →
	CHAPTER		PH.9.3.	Ch 9 Sec 3: Taylor's Theorem
		SECTION	PH.9.3.1.	Ch 9 Sec 3 Lesson 1: Taylor Polynomials (pp. 495 - 496) materials correlated to this standard →
		SECTION	PH.9.3.2.	Ch 9 Sec 3 Lesson 2: The Remainder (pp. 496 - 497) materials correlated to this standard →
		SECTION	PH.9.3.3.	Ch 9 Sec 3 Lesson 3: Remainder Estimation Theorem (pp. 497 - 499) materials correlated to this standard →
		SECTION	PH.9.3.4.	Ch 9 Sec 3 Lesson 4: Euler's Formula (pp. 499 - 499) materials correlated to this standard →
	CHAPTER		PH.9.4.	Ch 9 Sec 4: Radius of Convergence
		SECTION	PH.9.4.1.	Ch 9 Sec 4 Lesson 1: Convergence (pp. 503 - 504) materials correlated to this standard →
		SECTION	PH.9.4.2.	Ch 9 Sec 4 Lesson 2: nth-Term Test (pp. 504 - 504) materials correlated to this standard →
		SECTION	PH.9.4.3.	Ch 9 Sec 4 Lesson 3: Comparing Nonnegative Series (pp. 505 - 506) materials correlated to this standard →
		SECTION	PH.9.4.4.	Ch 9 Sec 4 Lesson 4: Ratio Test (pp. 506 - 508) materials correlated to this standard →
		SECTION	PH.9.4.5.	Ch 9 Sec 4 Lesson 5: Endpoint Convergence (pp. 509 - 509) materials correlated to this standard →
	CHAPTER		PH.9.5.	Ch 9 Sec 5: Testing Convergence at Endpoints
		SECTION	PH.9.5.1.	Ch 9 Sec 5 Lesson 1: Integral Test (pp. 513 - 513) materials correlated to this standard →
		SECTION	PH.9.5.2.	Ch 9 Sec 5 Lesson 2: Harmonic Series and p-series (pp. 514 - 514) materials correlated to this standard →
		SECTION	PH.9.5.3.	Ch 9 Sec 5 Lesson 3: Comparison Tests (pp. 515 - 516) materials correlated to this standard →
		SECTION	PH.9.5.4.	Ch 9 Sec 5 Lesson 4: Alternating Series (pp. 517 - 518) materials correlated to this standard →
		SECTION	PH.9.5.5.	Ch 9 Sec 5 Lesson 5: Absolute and Conditional Convergence (pp. 518 - 519) materials correlated to this standard →
		SECTION	PH.9.5.6.	Ch 9 Sec 5 Lesson 6: Intervals of Convergence (pp. 519 - 521) materials correlated to this standard →
		SECTION	PH.9.5.7.	Ch 9 Sec 5 Lesson 7: A Word of Caution (pp. 521 - 522) materials correlated to this standard →

UNIT			PH.10.	Chapter 10: Parametric, Vector, and Polar Functions
	CHAPTER		PH.10.1.	Ch 10 Sec 1: Parametric Functions
		SECTION	PH.10.1.1.	Ch 10 Sec 1 Lesson 1: Parametric Curves in the Plane (pp. 531 - 531) materials correlated to this standard →
		SECTION	PH.10.1.2.	Ch 10 Sec 1 Lesson 2: Slope and Concavity (pp. 532 - 532) materials correlated to this standard →
		SECTION	PH.10.1.3.	Ch 10 Sec 1 Lesson 3: Arc Length (pp. 532 - 533) materials correlated to this standard →
		SECTION	PH.10.1.4.	Ch 10 Sec 1 Lesson 4: Cycloids (pp. 533 - 535) materials correlated to this standard →
	CHAPTER		PH.10.2.	Ch 10 Sec 2: Vectors in the Plane
		SECTION	PH.10.2.1.	Ch 10 Sec 2 Lesson 1: Two-Dimensional Vectors (pp. 538 - 539) materials correlated to this standard →
		SECTION	PH.10.2.2.	Ch 10 Sec 2 Lesson 2: Vector Operations (pp. 539 - 541) materials correlated to this standard →
		SECTION	PH.10.2.3.	Ch 10 Sec 2 Lesson 3: Modeling Planar Motion (pp. 541 - 542) materials correlated to this standard →
		SECTION	PH.10.2.4.	Ch 10 Sec 2 Lesson 4: Velocity, Acceleration, and Speed (pp. 542 - 543) materials correlated to this standard →
		SECTION	PH.10.2.5.	Ch 10 Sec 2 Lesson 5: Displacement and Distance Traveled (pp. 543 - 544) materials correlated to this standard →
	CHAPTER		PH.10.3.	Ch 10 Sec 3: Polar Functions
		SECTION	PH.10.3.1.	Ch 10 Sec 3 Lesson 1: Polar Coordinates (pp. 548 - 549) materials correlated to this standard →
		SECTION	PH.10.3.2.	Ch 10 Sec 3 Lesson 2: Polar Curves (pp. 549 - 551) materials correlated to this standard →
		SECTION	PH.10.3.3.	Ch 10 Sec 3 Lesson 3: Slopes of Polar Curves (pp. 552 - 552) materials correlated to this standard →
		SECTION	PH.10.3.4.	Ch 10 Sec 3 Lesson 4: Areas Enclosed by Polar Curves (pp. 552 - 554) materials correlated to this standard →
		SECTION	PH.10.3.5.	Ch 10 Sec 3 Lesson 5: A Small Polar Gallery (pp. 555 - 557) materials correlated to this standard →