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CHAPTER |
KCP.1. |
Chapter 1: Functions and Mathematical Models |
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SECTION |
KCP.1-1. |
Ch 1 Sec 1: Functions: Graphically, Algebraically, Numerically, and Verbally (pp. 3 - 7) materials correlated to this standard →
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SECTION |
KCP.1-2. |
Ch 1 Sec 2: Types of Functions (pp. 7 - 14) materials correlated to this standard →
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SECTION |
KCP.1-3. |
Ch 1 Sec 3: Dilation and Translation of Function Graphs (pp. 15 - 21) materials correlated to this standard →
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SECTION |
KCP.1-4. |
Ch 1 Sec 4: Composition of Functions (pp. 22 - 33) materials correlated to this standard →
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SECTION |
KCP.1-5. |
Ch 1 Sec 5: Inverse of a Function (pp. 33 - 43) materials correlated to this standard →
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SECTION |
KCP.1-6. |
Ch 1 Sec 6: Reflections, Absolute Values, and Other Transformations (pp. 43 - 50) materials correlated to this standard →
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CHAPTER |
KCP.2. |
Chapter 2: Periodic Functions and Right Triangle Problems |
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SECTION |
KCP.2-1. |
Ch 2 Sec 1: Introduction to Periodic Functions (pp. 61) materials correlated to this standard →
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SECTION |
KCP.2-2. |
Ch 2 Sec 2: Measurement of Rotation (pp. 62 - 66) materials correlated to this standard →
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SECTION |
KCP.2-3. |
Ch 2 Sec 3: Sine and Cosine Functions (pp. 66 - 72) materials correlated to this standard →
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SECTION |
KCP.2-4. |
Ch 2 Sec 4: Values of the Six Trigonometric Functions (pp. 73 - 79) materials correlated to this standard →
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SECTION |
KCP.2-5. |
Ch 2 Sec 5: Inverse Trigonometric Functions and Triangle Problems (pp. 80 - 87) materials correlated to this standard →
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CHAPTER |
KCP.3. |
Chapter 3: Applications of Trigonometric and Circular Functions |
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SECTION |
KCP.3-1. |
Ch 3 Sec 1: Sinusoids: Amplitude, Period, and Cycles (pp. 95 - 96) materials correlated to this standard →
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SECTION |
KCP.3-2. |
Ch 3 Sec 2: General Sinusoidal Graphs (pp. 96 - 105) materials correlated to this standard →
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SECTION |
KCP.3-3. |
Ch 3 Sec 3: Graphs of Tangent, Cotangent, Secant, and Cosecant Functions (pp. 105 - 110) materials correlated to this standard →
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SECTION |
KCP.3-4. |
Ch 3 Sec 4: Radian Measure of Angles (pp. 110 - 117) materials correlated to this standard →
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SECTION |
KCP.3-5. |
Ch 3 Sec 5: Circular Functions (pp. 117 - 124) materials correlated to this standard →
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SECTION |
KCP.3-6. |
Ch 3 Sec 6: Inverse Circular Relations: Given y, Find x (pp. 124 - 129) materials correlated to this standard →
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SECTION |
KCP.3-7. |
Ch 3 Sec 7: Sinusoidal Functions as Mathematical Models (pp. 130 - 138) materials correlated to this standard →
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SECTION |
KCP.3-8. |
Ch 3 Sec 8: Rotary Motion (pp. 138 - 147) |
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CHAPTER |
KCP.4. |
Chapter 4: Trigonometric Function Properties, Identities, and Parametric Functions |
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SECTION |
KCP.4-1. |
Ch 4 Sec 1: Introduction to the Pythagorean Property (pp. 157 - 157) materials correlated to this standard →
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SECTION |
KCP.4-2. |
Ch 4 Sec 2: Pythagorean, Reciprocal, and Quotient Properties (pp. 158 - 162) materials correlated to this standard →
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SECTION |
KCP.4-3. |
Ch 4 Sec 3: Identities and Algebraic Transformation of Expressions (pp. 162 - 168) materials correlated to this standard →
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SECTION |
KCP.4-4. |
Ch 4 Sec 4: Arcsine, Arctangent, Arccosine, and Trigonometric Equations (pp. 168 - 176) materials correlated to this standard →
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SECTION |
KCP.4-5. |
Ch 4 Sec 5: Parametric Functions (pp. 176 - 183) materials correlated to this standard →
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SECTION |
KCP.4-6. |
Ch 4 Sec 6: Inverse Trigonometric Relation Graphs (pp. 184 - 190) materials correlated to this standard →
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CHAPTER |
KCP.5. |
Chapter 5: Properties of Combined Sinusoids |
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SECTION |
KCP.5-1. |
Ch 5 Sec 1: Introduction to Combinations of Sinusoids (pp. 197) materials correlated to this standard →
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SECTION |
KCP.5-2. |
Ch 5 Sec 2: Composite Argument and Linear Combination Properties (pp. 198 - 205) |
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SECTION |
KCP.5-3. |
Ch 5 Sec 3: Other Composite Argument Properties (pp. 205 - 213) materials correlated to this standard →
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SECTION |
KCP.5-4. |
Ch 5 Sec 4: Composition of Ordinates and Harmonic Analysis (pp. 213 - 223) |
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SECTION |
KCP.5-5. |
Ch 5 Sec 5: The Sum and Product Properties (pp. 223 - 230) |
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SECTION |
KCP.5-6. |
Ch 5 Sec 6: Double and Half Argument Properties (pp. 231 - 239) materials correlated to this standard →
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CHAPTER |
KCP.6. |
Chapter 6: Triangle Trigonometry |
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SECTION |
KCP.6-1. |
Ch 6 Sec 1: Introduction to Oblique Triangles (pp. 249) |
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SECTION |
KCP.6-2. |
Ch 6 Sec 2: Oblique Triangles: Law of Cosines (pp. 250 - 255) materials correlated to this standard →
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SECTION |
KCP.6-3. |
Ch 6 Sec 3: Area of a Triangle (pp. 255 - 258) materials correlated to this standard →
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SECTION |
KCP.6-4. |
Ch 6 Sec 4: Oblique Triangles: Law of Sines (pp. 259 - 263) materials correlated to this standard →
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SECTION |
KCP.6-5. |
Ch 6 Sec 5: The Ambiguous Case (pp. 263 - 266) materials correlated to this standard →
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SECTION |
KCP.6-6. |
Ch 6 Sec 6: Vector Addition (pp. 266 - 274) materials correlated to this standard →
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SECTION |
KCP.6-7. |
Ch 6 Sec 7: Real-World Triangle Problems (pp. 274 - 280) materials correlated to this standard →
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CHAPTER |
KCP.7. |
Chapter 7: Properties of Elementary Functions |
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SECTION |
KCP.7-1. |
Ch 7 Sec 1: Shapes of Function Graphs (pp. 293) materials correlated to this standard →
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SECTION |
KCP.7-2. |
Ch 7 Sec 2: Identifying Functions from Graphical Patterns (pp. 294 - 303) materials correlated to this standard →
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SECTION |
KCP.7-3. |
Ch 7 Sec 3: Identifying Functions from Numerical Patterns (pp. 304 - 314) materials correlated to this standard →
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SECTION |
KCP.7-4. |
Ch 7 Sec 4: Properties of Logarithms (pp. 314 - 321) materials correlated to this standard →
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SECTION |
KCP.7-5. |
Ch 7 Sec 5: Logarithms: Equations and Other Bases (pp. 321 - 328) materials correlated to this standard →
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SECTION |
KCP.7-6. |
Ch 7 Sec 6: Logarithmic Functions (pp. 328 - 335) materials correlated to this standard →
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SECTION |
KCP.7-7. |
Ch 7 Sec 7: Logistic Functions for Restrained Growth (pp. 336 - 342) materials correlated to this standard →
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CHAPTER |
KCP.8. |
Chapter 8: Fitting Functions to Data |
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SECTION |
KCP.8-1. |
Ch 8 Sec 1: Introduction to Regression for Linear Data (pp. 353 - 353) materials correlated to this standard →
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SECTION |
KCP.8-2. |
Ch 8 Sec 2: Deviations, Residuals, and the Correlation Coefficient (pp. 354 - 360) materials correlated to this standard →
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SECTION |
KCP.8-3. |
Ch 8 Sec 3: Regression for Nonlinear Data (pp. 360 - 367) materials correlated to this standard →
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SECTION |
KCP.8-4. |
Ch 8 Sec 4: Linearizing Data and Logarithmic Graph Paper (pp. 367 - 381) materials correlated to this standard →
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SECTION |
KCP.8-5. |
Ch 8 Sec 5: Residual Plots and Mathematical Models (pp. 381 - 389) materials correlated to this standard →
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CHAPTER |
KCP.9. |
Chapter 9: Probability, and Functions of a Random Variable |
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SECTION |
KCP.9-1. |
Ch 9 Sec 1: Introduction to Probability (pp. 399) materials correlated to this standard →
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SECTION |
KCP.9-2. |
Ch 9 Sec 2: Words Associated with Probability (pp. 400 - 401) materials correlated to this standard →
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SECTION |
KCP.9-3. |
Ch 9 Sec 3: Two Counting Principles (pp. 402 - 407) materials correlated to this standard →
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SECTION |
KCP.9-4. |
Ch 9 Sec 4: Probabilities of Various Permutations (pp. 407 - 412) materials correlated to this standard →
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SECTION |
KCP.9-5. |
Ch 9 Sec 5: Probabilities of Various Combinations (pp. 412 - 420) materials correlated to this standard →
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SECTION |
KCP.9-6. |
Ch 9 Sec 6: Properties of Probability (pp. 420 - 427) materials correlated to this standard →
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SECTION |
KCP.9-7. |
Ch 9 Sec 7: Functions of a Random Variable (pp. 428 - 434) materials correlated to this standard →
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SECTION |
KCP.9-8. |
Ch 9 Sec 8: Mathematical Expectation (pp. 434 - 440) materials correlated to this standard →
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CHAPTER |
KCP.10. |
Chapter 10: Three-Dimensional Vectors |
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SECTION |
KCP.10-1. |
Ch 10 Sec 1: Review of Two-Dimensional Vectors (pp. 451 - 452) materials correlated to this standard →
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SECTION |
KCP.10-2. |
Ch 10 Sec 2: Two-Dimensional Vector Practice (pp. 452 - 461) materials correlated to this standard →
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SECTION |
KCP.10-3. |
Ch 10 Sec 3: Vectors in Space (pp. 461 - 466) materials correlated to this standard →
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SECTION |
KCP.10-4. |
Ch 10 Sec 4: Scalar Products and Projections of Vectors (pp. 466 - 474) materials correlated to this standard →
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SECTION |
KCP.10-5. |
Ch 10 Sec 5: Planes in Space (pp. 474 - 478) |
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SECTION |
KCP.10-6. |
Ch 10 Sec 6: Vector Product of Two Vectors (pp. 479 - 485) materials correlated to this standard →
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SECTION |
KCP.10-7. |
Ch 10 Sec 7: Direction Angles and Direction Cosines (pp. 486 - 490) |
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SECTION |
KCP.10-8. |
Ch 10 Sec 8: Vector Equations of Lines in Space (pp. 490 - 495) |
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CHAPTER |
KCP.11. |
Chapter 11: Matrix Transformations and Fractal Figures |
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SECTION |
KCP.11-1. |
Ch 11 Sec 1: Introduction to Iterated Transformations (pp. 503) materials correlated to this standard →
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SECTION |
KCP.11-2. |
Ch 11 Sec 2: Matrix Operations and Solutions of Linear Systems (pp. 504 - 510) materials correlated to this standard →
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SECTION |
KCP.11-3. |
Ch 11 Sec 3: Rotation and Dilation Matrices (pp. 510 - 515) materials correlated to this standard →
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SECTION |
KCP.11-4. |
Ch 11 Sec 4: Translation with Rotation and Dilation Matrices (pp. 515 - 522) materials correlated to this standard →
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SECTION |
KCP.11-5. |
Ch 11 Sec 5: Strange Attractors for Several Iterated Transformations (pp. 522 - 530) materials correlated to this standard →
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SECTION |
KCP.11-6. |
Ch 11 Sec 6: Fractal Dimensions (pp. 530 - 536) materials correlated to this standard →
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CHAPTER |
KCP.12. |
Chapter 12: Analytic Geometry of Conic Sections and Quadric Surfaces |
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SECTION |
KCP.12-1. |
Ch 12 Sec 1: Introduction to Conic Sections (pp. 545) materials correlated to this standard →
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SECTION |
KCP.12-2. |
Ch 12 Sec 2: Parametric and Cartesian Equations of the Conic Sections (pp. 546 - 556) materials correlated to this standard →
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SECTION |
KCP.12-3. |
Ch 12 Sec 3: Quadric Surfaces and Inscribed Figures (pp. 557 - 564) |
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SECTION |
KCP.12-4. |
Ch 12 Sec 4: Analytic Geometry of the Conic Sections (pp. 564 - 580) materials correlated to this standard →
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SECTION |
KCP.12-5. |
Ch 12 Sec 5: Parametric and Cartesian Equations for Rotated Conics (pp. 580 - 587) |
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SECTION |
KCP.12-6. |
Ch 12 Sec 6: Applications of Conic Sections (pp. 587 - 591) materials correlated to this standard →
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CHAPTER |
KCP.13. |
Chapter 13: Polar Coordinates, Complex Numbers, and Moving Objects |
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SECTION |
KCP.13-1. |
Ch 13 Sec 1: Introduction to Polar Coordinates (pp. 599) materials correlated to this standard →
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SECTION |
KCP.13-2. |
Ch 13 Sec 2: Polar Equations of Conics and Other Curves (pp. 600 - 610) materials correlated to this standard →
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SECTION |
KCP.13-3. |
Ch 13 Sec 3: Intersections of Polar Curves (pp. 610 - 613) |
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SECTION |
KCP.13-4. |
Ch 13 Sec 4: Complex Numbers in Polar Form (pp. 614 - 621) |
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SECTION |
KCP.13-5. |
Ch 13 Sec 5: Parametric Equations of Moving Objects (pp. 621 - 631) materials correlated to this standard →
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CHAPTER |
KCP.14. |
Chapter 14: Sequences and Series |
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SECTION |
KCP.14-1. |
Ch 14 Sec 1: Introduction to Sequences and Series (pp. 639) materials correlated to this standard →
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SECTION |
KCP.14-2. |
Ch 14 Sec 2: Arithmetic, Geometric, and Other Sequences (pp. 640 - 648) materials correlated to this standard →
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SECTION |
KCP.14-3. |
Ch 14 Sec 3: Series and Partial Sums (pp. 648 - 661) materials correlated to this standard →
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CHAPTER |
KCP.15. |
Chapter 15: Polynomial and Rational Functions, Limits, and Derivatives |
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SECTION |
KCP.15-1. |
Ch 15 Sec 1: Review of Polynomial Functions (pp. 669) materials correlated to this standard →
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SECTION |
KCP.15-2. |
Ch 15 Sec 2: Graphs and Zeros of Polynomial Functions (pp. 670 - 680) materials correlated to this standard →
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SECTION |
KCP.15-3. |
Ch 15 Sec 3: Fitting Polynomial Functions to Data (pp. 680 - 687) materials correlated to this standard →
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SECTION |
KCP.15-4. |
Ch 15 Sec 4: Rational Functions: Discontinuities, Limits, and Partial Fractions (pp. 687 - 693) materials correlated to this standard →
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SECTION |
KCP.15-5. |
Ch 15 Sec 5: Instantaneous Rate of Change of a Function: The Derivative (pp. 694 - 702) materials correlated to this standard →
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