# SpringBoard Precalculus SpringBoard Precalculus

ISBN: 9781457301544 / 1457301547

### Chapter 1

Arithmetic Sequences: Dvd Promotions

 1-1 Sequences and Subscript Notation Activities p.3 1-2 Arithmetic Sequences and Series Activities p.8 1-3 Mathematical Induction Activities p.13 Practice p.17

### Chapter 2

Geometric Sequences: She Sells Sea Shells

 2-1 Identifying Geometric Sequences Activities p.19 2-2 Finite Geometric Sequences and Series Activities p.23 2-3 Infinite Geometric Sequences and Series Activities p.27 Practice p.31

### Chapter 3

Modeling Recursive Relationships: Money Market Accounts

 3-1 Exploring a Recursive Relationship Activities p.33 3-2 Explict Form of a Recursive Sequence Activities p.39 Practice p.43 Embedded Assessment p.45

### Chapter 4

Exponential Functions: Pennsylvania Lotter

 4-1 Writing an Exponential Function Activities p.47 4-2 Compound Interest Activities p.52 4-3 Power Functions Activities p.55 Practice p.57

### Chapter 5

Logarithms: Power Trip

 5-1 Common and Natural Logarithms Activities p.59 5-2 Using Properties and the Change of Base Formula Activities p.65 5-3 Solving Logarithmic Equations Activities p.71 Practice p.73 Embedded Assessment p.75

### Chapter 6

Transformations Of Functions: I Doubt It

 6-1 Transforming Functions Activities p.77 6-2 Function Operations Activities p.88 Practice p.89

### Chapter 7

Modeling With Power Functions: Highway Safety

 7-1 Finding a Regression Line Activities p.92 7-2 Power Functions Activities p.97 Practice p.101

### Chapter 8

Compositions Of Functions And Inverses: Search And ...

 8-1 Compositions of Functions Activities p.103 8-2 Inverse Functions Activities p.108 Practice p.113 Embedded Assessment p.115

### Chapter 9

Polynomials: Sunspots

 9-1 Data and Polynomial Models Activities p.119 9-2 Polynomial Functions Activities p.124 Practice p.129

### Chapter 10

Analyzing Polynomial Functions: Graph It

 10-1 Sketching Graphs of Polynomial Functions Activities p.131 10-2 Rational Root Theorem Activities p.137 10-3 Descartes' Rule of Signs Activities p.139 Practice p.141

### Chapter 11

Complex Polynomial Roots And Inequalities: Open Question

 11-1 Writing a Polynomial Function Activities p.143 11-2 Zeros and Complex Factors of Polynomials Activities p.148 11-3 Polynomial Inequalities Activities p.149 Practice p.153 Embedded Assessment p.155

### Chapter 12

Rational Expressions And The Reciprocal Function: Playing ...

 12-1 Writing Rational Functions Activities p.157 12-2 Sketching Graphs of Rational Functions Activities p.161 Practice p.165

### Chapter 13

Rational Functions: Rationalizing Water Collection

 13-1 Transformations of Rational Functions Activities p.167 13-2 Graphing Rational Functions Activities p.171 13-3 Writing a Rational Function and Rational Inequalities Activities p.176 Practice p.181 Embedded Assessment p.183

### Chapter 14

Angles And Angle Measure: What's My Angle ...

 14-1 Angle Measures in Standard Position Activities p.187 14-2 Radian Measure Activities p.190 Practice p.197

### Chapter 15

Sinusoidal Functions: Bicycle Wheels

 15-1 Exploring Periodic Data Activities p.199 15-2 Periodic Functions Activities p.203 15-3 Graphs and the Sine Function Activities p.208 Practice p.212

### Chapter 16

Trigonometric Functions And The Unit Circle: Wheels ...

 16-1 The Unit Circle Activities p.213 16-2 Reciprocal Trigonometric Functions Activities p.219 Practice p.223

### Chapter 17

Graphs Of The Form Y = A ...

 17-1 Trigonometric Graphs and Transformations Activities p.225 17-2 Writing Trigonometric Functions Activities p.230 Practice p.235

### Chapter 18

Graphs Of Other Trigonometric Functions: More Trigonometric ...

 18-1 Graphs of Reciprocal Trigonometric Functions Activities p.237 18-2 Transformations of Reciprocal Trigonometric Functions Activities p.241 Practice p.244 Embedded Assessment p.245

### Chapter 19

Inverse Trigonometric Functions: Veiwing Angle

 19-1 Inverse Cosine Function Activities p.247 19-2 Inverse Sine Function Activities p.252 19-3 Inverse Tangent Function Activities p.258 Practice p.263

### Chapter 20

Solving Simple Trigonometric Equations: Daylight Minutes

 20-1 Writing and Solving Trigonometric Equations Activities p.265 20-2 Reference Angles and Trigonometric Equations Activities p.272 Practice p.273 Embedded Assessment p.275

### Chapter 21

Trigonometric Identities: Imagine That

 21-1 Trigonometric Identities Activities p.279 21-2 Simplifying Trigonometric Expressions Activities p.285 Practice p.291

### Chapter 22

Identities And Equations: Triangle Measure

 22-1 Cofunction Identities Activities p.293 22-2 Trigonometric Equations Activities p.297 Practice p.301

### Chapter 23

Multiple Angle Identities: Sounds Like Trigonometry

 23-1 Exploring Sums of Trig Functions Activities p.303 23-2 Sum and Difference Identities Activities p.307 23-3 Using Identities to Solve Equations Activities p.316 Practice p.317 Embedded Assessment p.319

### Chapter 24

Law Of Cosines: The Chocolate Factory

 24-1 Modeling with Trigonometric Functions Activities p.321 24-2 The Law of Cosines Activities p.326 Practice p.329

### Chapter 25

The Law Of Sines: Get Lost?

 25-1 Modeling and Applying the Law of Sines Activities p.331 25-2 The Ambiguous Case (SSA) Activities p.337 Practice p.341 Embedded Assessment p.343

### Chapter 26

Parabola Equations And Graphs: The Human Cannonball

 26-1 Parabolas and Conic Sections Activities p.347 26-2 Graphs and Equations of Parabola Activities p.353 Practice p.357

### Chapter 27

 27-1 Ellipses Activities p.359 27-2 Hyperbolas Activities p.365 27-3 Locating an Object Activities p.371 Practice p.375

### Chapter 28

Polar Graphs: Air Traffic Controller

 28-1 The Polar Grid Activities p.377 28-2 Polar Rectangular Coordinates Activities p.381 28-3 Polar Functions and Curves Activities p.386 Practice p.391

### Chapter 29

Polar Curves And Polar Conics: Roses, Rings, ...

 29-1 Polar Equations Practice p.393 29-2 Rectangular and Polar Form Activities p.397 29-3 Types of Polar Curves Activities p.402 Practice p.407 Embedded Assessment p.409

### Chapter 30

Parametric Equations: Ships In The Fog

 30-1 Interpreting Graphical Data Activities p.412 30-2 Writing Parametric Equations Activities p.415 30-3 Converting Parametric Equations Activities p.420 Practice p.423

### Chapter 31

Parametric Equations Revisited: Keep Your Eye On ...

 31-1 Angular and Linear Velocity Activities p.425 32-2 Graaphing and Parameterizing Data Activities p.429 32-3 Projectile Motion Activities p.434 Practice p.439 Embedded Assessment p.441

### Chapter 32

Vectors And Complex Numbers: The Robotic Arm

 32-1 Introduction to Vectors Activities p.444 32-2 Operations with Vectors Activities p.446 32-3 Vector Components Activities p.450 32-4 Complex Numbers and Operations Activities p.454 32-5 Polar Form Activities p.463 Practice p.467

### Chapter 33

Applications Of Vectors: Moving Walkways

 33-1 Rectilinear Motion Activities p.469 33-2 Planar Motion Activities p.476 Practice p.479 Embedded Assessment p.481

### Chapter 34

Matrix Operations: How Much Would You Need?

 34-1 Representing Data with Matrices Activities p.485 34-2 Matrix Multiplication Activities p.489 34-3 Inverse Matrices Activities p.494 Practice p.497

### Chapter 35

Matrices And Transformations: Sizing Up Real Estate

 35-1 Translations and Reflections Activities p.499 35-2 Rotations and Dilations Activities p.503 35-3 Determinants and Area Activities p.509 Practice p.513 Embedded Assessment p.515

### Chapter 36

Matrices And Systems Of Equations: Hit The ...

 36-1 Representing Linear Systems with Matrices Activities p.517 36-2 Solving Matrix Equations Activities p.521 36-3 Solving Matrix Equations with Technology Activities p.524 Practice p.529

### Chapter 37

Volume: Stack 'Em High

 37-1 Cavalieri's Principle Activities p.531 37-2 Volumes of Spheres Activities p.535 37-3 Limits Activities p.538 Practice p.543 Embedded Assessment p.545
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