NEW! Carnegie Learning® Georgia Mathematics 3

Toll Free: 888.851.7094Local: 412.690.6284 Fax: 412-690.2444info@carnegielearning.comwww.carnegielearning.com

Frick Building20th Floor437 Grant StreetPittsburgh, PA 15219

Carnegie Learning is pleased to announce the developmentof the Carnegie Learning® Georgia Mathematics 3 Textbook,the newest addition to Carnegie Learning® GeorgiaMathematics series! As with the development of the GeorgiaMath 1 and Georgia Math 2 textbooks, Carnegie Learning iscommitted to providing instructional materials that supportthe standards-based collaborative classroom and are tightlyaligned to the Georgia curriculum frameworks.

Authoring and production is underway for Georgia Math 3 asthe frameworks are being finalized from the state. CarnegieLearning® consumable textbook model allows us to be agilein aligning to the most current course frameworks. When youpurchase your Georgia Math 3 textbooks from us, you willhave the most up-to-date instructional materials possible!

We look forward to providing you with updates, reviewinformation, evaluation materials, and more throughout theproduction process. Watch for additional email updates aswell as new information posted towww.carnegielearning.com/georgia. Sampler books featuringa full Table of Contents and chapter excerpt will be availablein October 2009, contact us today atcsmyth@carnegielearning.com to reserve your copy!

Carnegie Learning® Georgia Mathematics 3Table of Contents

Unit 1: Modeling with MatricesChapter 1 - Matrix Operations and Equations (6 Lessons) Chapter 2 - Problem Solving with Matrices (5 Lessons)

Unit 2: Polynomial FunctionsChapter 3 - Power Functions and Polynomial Functions(7 Lessons)Chapter 4 - Polynomial Functions and Data Modeling (4 Lessons) Chapter 5 - Three Dimensional Coordinates (4 Lessons)

Unit 3: Logarithmic and Exponential FunctionsChapter 6 - Exponential Functions (7 Lessons)Chapter 7 - Logarithmic Functions (4 Lessons)Chapter 8 - Problem Solving with Exponential andLogarithmic Functions (4 lessons)

Unit 4: Solving Equations and InequalitiesChapter 9 - Exponential and Logarithmic Equations ( 4 Lessons) Chapter 10 - Polynomial Equations (8 Lessons)

Unit 5: ConicsChapter 11 - Introduction to Conics and Circles(7 Lessons)Chapter 12 - Ellipses (4 Lessons)Chapter 13 - Hyperbolas (4 Lessons)Chapter 14 - Parabolas (4 Lessons)Chapter 15 - Problem Solving with Conics (4 Lessons)

Unit 6: Data AnalysisChapter 16 - Distributions or Discrete Data (6 Lessons)Chapter 17 - Distributions of Continuous Data(5 Lessons)

For information on the course alignment to the Math 3frameworks, please download the Georgia Math 3 Alignmentdocument from www.carnegielearning.com/georgia. TheTable of Contents reflects the topics that will be covered inGeorgia Mathematics 3. This information is subject to minorchange prior to final printing.

1

Chapter 1 l Matrix Operations and Equations 1

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1.1 Arrays, Arrays!Introduction to Matrices and

Matrix Operations | p. 3

1.2 School DazeMatrix Multiplication | p. 11

1.3 Commune, Associate?Properties of Matrix

Operations | p. 19

1.4 Inverses, Anyone?Row Operations and Multiplicative

Inverses | p. 25

1.5 Solutuions Abound!Matrix Equations | p. 35

1.6 Determining Determinants!Determinants | p. 45

Shoe stores stock various sizes and widths of each style to accommodate buyers with different

shaped feet. You will use matrix operations to determine the inventory levels of shoes across a

chain of stores.

Matrix Operations and Equations1

CHAPTER

Chapter 2 l Matrices and Applications 55

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2.1 Calories and LunchMatrices and Problem Solving | p. 57

2.2 Regions and VerticesSystems of Linear Inequalities | p. 65

2.3 Constraints and SolutionsLinear Programming | p. 75

2.4 Spies a Lot!Introduction to Directed

Graphs | p. 83

2.5 Electricity and Water!Directed Graphs and

Problem Solving | p. 89

Delicatessens sell many varieties of sandwiches, salads, and other foods. To offer the freshest

products, delicatessen managers must frequently monitor customer purchases and order new

ingredients. You will use matrices to calculate consumption of various ingredients in a restaurant.

Matrices and Applications2CHAPTER

Chapter 3 l Power Functions and Polynomial Functions 95

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3.1 Power Ranges!Power Functions | p. 97

3.2 BoxesPolynomial Functions | p. 107

3.3 Humps and BumpsGraphs of Polynomial Functions | p. 115

3.4 Mirror Mirror on the Wall...Symmetry | p. 123

3.5 Cloned Zeros?Zeros and Multiplicity | p. 131

3.6 Domains, Ends, and ExtremesExtrema, Domain & Range, and

End Behavior | p. 141

3.7 SalinityGraphs of Polynomial Functions | p. 147

Estuaries form when rivers and streams meet the sea, resulting in a mix of salt and fresh water.

On the coast of Georgia, large estuaries have formed where the Altamaha, Ogeechee, Satilla,

Savannah, and St. Mary’s rivers flow into the Atlantic Ocean. You will use polynomial functions to

graph water salinity levels in estuaries.

Power Functions and Polynomial Functions3

CHAPTER

Chapter 4 l Polynomial Functions and Data Modeling 155

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4.1 Cold and Colder!Function Composition | p. 157

4.2 Pieces of PiecesPiecewise Polynomial

Functions | p. 169

4.3 Model Fitting!Modeling with Polynomial

Functions | p. 175

4.4 More Model Fitting!Modeling with Polynomial

Functions | p. 183

Polynomial Functions and Data Modeling4

CHAPTER

Daniel Gabriel Fahrenheit (1686–1736) was a Prussian physicist and engineer who determined a

temperature scale named after him. Swedish astronomer Anders Celsius (1701–1744) developed

a similar temperature scale. Water freezes at 32 (degrees symbol) on the Fahrenheit scale and

0 (degrees symbol) on the Celsius scale. You will use compositions of functions to convert

temperatures between the Celsius and Fahrenheit scales.

Chapter 5 l Three-Dimensional Coordinates 187

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55.1 Into the Third DimensionPoint Plotting in Three

Dimensions | p. 189

5.2 PlanesEquations of Planes | p. 199

5.3 DistanceDistance in Three

Dimensions | p. 211

5.4 Volume in SpaceModels and Volume | p. 221

Three-Dimensional Coordinates5

CHAPTER

Three-dimensional movies superimpose two slightly different images, letting viewers with polarized

eyeglasses perceive depth (the third dimension) on a two-dimensional screen. You will learn to

work with points, lines, planes, and solid forms in a three-dimensional coordinate space.

NEW! Carnegie Learning® Georgia Mathematics 3

Toll Free: 888.851.7094Local: 412.690.6284 Fax: 412-690.2444info@carnegielearning.comwww.carnegielearning.com

Frick Building20th Floor437 Grant StreetPittsburgh, PA 15219

Carnegie Learning is pleased to announce the developmentof the Carnegie Learning® Georgia Mathematics 3 Textbook,the newest addition to Carnegie Learning® GeorgiaMathematics series! As with the development of the GeorgiaMath 1 and Georgia Math 2 textbooks, Carnegie Learning iscommitted to providing instructional materials that supportthe standards-based collaborative classroom and are tightlyaligned to the Georgia curriculum frameworks.

Authoring and production is underway for Georgia Math 3 asthe frameworks are being finalized from the state. CarnegieLearning® consumable textbook model allows us to be agilein aligning to the most current course frameworks. When youpurchase your Georgia Math 3 textbooks from us, you willhave the most up-to-date instructional materials possible!

We look forward to providing you with updates, reviewinformation, evaluation materials, and more throughout theproduction process. Watch for additional email updates aswell as new information posted towww.carnegielearning.com/georgia. Sampler books featuringa full Table of Contents and chapter excerpt will be availablein October 2009, contact us today atcsmyth@carnegielearning.com to reserve your copy!

Carnegie Learning® Georgia Mathematics 3Table of Contents

Unit 1: Modeling with MatricesChapter 1 - Matrix Operations and Equations (6 Lessons) Chapter 2 - Problem Solving with Matrices (5 Lessons)

Unit 2: Polynomial FunctionsChapter 3 - Power Functions and Polynomial Functions(7 Lessons)Chapter 4 - Polynomial Functions and Data Modeling (4 Lessons) Chapter 5 - Three Dimensional Coordinates (4 Lessons)

Unit 3: Logarithmic and Exponential FunctionsChapter 6 - Exponential Functions (7 Lessons)Chapter 7 - Logarithmic Functions (4 Lessons)Chapter 8 - Problem Solving with Exponential andLogarithmic Functions (4 lessons)

Unit 4: Solving Equations and InequalitiesChapter 9 - Exponential and Logarithmic Equations ( 4 Lessons) Chapter 10 - Polynomial Equations (8 Lessons)

Unit 5: ConicsChapter 11 - Introduction to Conics and Circles(7 Lessons)Chapter 12 - Ellipses (4 Lessons)Chapter 13 - Hyperbolas (4 Lessons)Chapter 14 - Parabolas (4 Lessons)Chapter 15 - Problem Solving with Conics (4 Lessons)

Unit 6: Data AnalysisChapter 16 - Distributions or Discrete Data (6 Lessons)Chapter 17 - Distributions of Continuous Data(5 Lessons)

For information on the course alignment to the Math 3frameworks, please download the Georgia Math 3 Alignmentdocument from www.carnegielearning.com/georgia. TheTable of Contents reflects the topics that will be covered inGeorgia Mathematics 3. This information is subject to minorchange prior to final printing.