NEW! Carnegie Learning Georgia Mathematics 3. Carnegie Learning Georgia Mathematics 3 Table of Contents

Transcription

1 NEW! Carnegie Learning Georgia Mathematics 3 Carnegie Learning is pleased to announce the development of the Carnegie Learning Georgia Mathematics 3 Textbook, the newest addition to Carnegie Learning Georgia Mathematics series! As with the development of the Georgia Math 1 and Georgia Math 2 textbooks, Carnegie Learning is committed to providing instructional materials that support the standards-based collaborative classroom and are tightly aligned to the Georgia curriculum frameworks. Authoring and production is underway for Georgia Math 3 as the frameworks are being finalized from the state. Carnegie Learning consumable textbook model allows us to be agile in aligning to the most current course frameworks. When you purchase your Georgia Math 3 textbooks from us, you will have the most up-to-date instructional materials possible! We look forward to providing you with updates, review information, evaluation materials, and more throughout the production process. Watch for additional updates as well as new information posted to Sampler books featuring a full Table of Contents and chapter excerpt will be available in October 2009, contact us today at csmyth@carnegielearning.com to reserve your copy! Carnegie Learning Georgia Mathematics 3 Table of Contents Unit 1: Modeling with Matrices Chapter 1 - Matrix Operations and Equations (6 Lessons) Chapter 2 - Problem Solving with Matrices (5 Lessons) Unit 2: Polynomial Functions Chapter 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 Functions Chapter 6 - Exponential Functions (7 Lessons) Chapter 7 - Logarithmic Functions (4 Lessons) Chapter 8 - Problem Solving with Exponential and Logarithmic Functions (4 lessons) Unit 4: Solving Equations and Inequalities Chapter 9 - Exponential and Logarithmic Equations ( 4 Lessons) Chapter 10 - Polynomial Equations (8 Lessons) Unit 5: Conics Chapter 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 Analysis Chapter 16 - Distributions or Discrete Data (6 Lessons) Chapter 17 - Distributions of Continuous Data (5 Lessons) For information on the course alignment to the Math 3 frameworks, please download the Georgia Math 3 Alignment document from The Table of Contents reflects the topics that will be covered in Georgia Mathematics 3. This information is subject to minor change prior to final printing. Frick Building 20th Floor 437 Grant Street Pittsburgh, PA Toll Free: Local: Fax: info@carnegielearning.com

2 CH AP T ER 1 Matrix Operations and Equations Carnegie Learning, Inc. 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. 1.1 Arrays, Arrays! Introduction to Matrices and Matrix Operations p Inverses, Anyone? Row Operations and Multiplicative Inverses p School Daze Matrix Multiplication p Solutuions Abound! Matrix Equations p Commune, Associate? Properties of Matrix Operations p Determining Determinants! Determinants p. 45 Chapter 1 l Matrix Operations and Equations 1

3 CH AP T ER 2 Matrices and Applications Carnegie Learning, Inc. 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. 2.1 Calories and Lunch Matrices and Problem Solving p Regions and Vertices Systems of Linear Inequalities p Constraints and Solutions Linear Programming p Spies a Lot! Introduction to Directed Graphs p Electricity and Water! Directed Graphs and Problem Solving p. 89 Chapter 2 l Matrices and Applications 55

4 CHAPTER 3 Power Functions and Polynomial Functions Carnegie Learning, Inc. 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. 3.1 Power Ranges! Power Functions p Boxes Polynomial Functions p Humps and Bumps Graphs of Polynomial Functions p Mirror Mirror on the Wall... Symmetry p Cloned Zeros? Zeros and Multiplicity p Domains, Ends, and Extremes Extrema, Domain & Range, and End Behavior p Salinity Graphs of Polynomial Functions p. 147 Chapter 3 l Power Functions and Polynomial Functions 95

5 C H A P T ER 2010 Carnegie Learning, Inc. 4 Polynomial Functions and Data Modeling 4 Daniel Gabriel Fahrenheit ( ) was a Prussian physicist and engineer who determined a temperature scale named after him. Swedish astronomer Anders Celsius ( ) 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. 4.1 Cold and Colder! Function Composition p Pieces of Pieces Piecewise Polynomial Functions p Model Fitting! Modeling with Polynomial Functions p More Model Fitting! Modeling with Polynomial Functions p. 183 Chapter 4 l Polynomial Functions and Data Modeling 155

6 CHAPTER 5 Three-Dimensional Coordinates 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 Carnegie Learning, Inc. 5.1 Into the Third Dimension Point Plotting in Three Dimensions p Planes Equations of Planes p Distance Distance in Three Dimensions p Volume in Space Models and Volume p Chapter 5 l Three-Dimensional Coordinates 187

7

8

9

10

11

12

13

14

15

16 NEW! Carnegie Learning Georgia Mathematics 3 Carnegie Learning is pleased to announce the development of the Carnegie Learning Georgia Mathematics 3 Textbook, the newest addition to Carnegie Learning Georgia Mathematics series! As with the development of the Georgia Math 1 and Georgia Math 2 textbooks, Carnegie Learning is committed to providing instructional materials that support the standards-based collaborative classroom and are tightly aligned to the Georgia curriculum frameworks. Authoring and production is underway for Georgia Math 3 as the frameworks are being finalized from the state. Carnegie Learning consumable textbook model allows us to be agile in aligning to the most current course frameworks. When you purchase your Georgia Math 3 textbooks from us, you will have the most up-to-date instructional materials possible! We look forward to providing you with updates, review information, evaluation materials, and more throughout the production process. Watch for additional updates as well as new information posted to Sampler books featuring a full Table of Contents and chapter excerpt will be available in October 2009, contact us today at csmyth@carnegielearning.com to reserve your copy! Carnegie Learning Georgia Mathematics 3 Table of Contents Unit 1: Modeling with Matrices Chapter 1 - Matrix Operations and Equations (6 Lessons) Chapter 2 - Problem Solving with Matrices (5 Lessons) Unit 2: Polynomial Functions Chapter 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 Functions Chapter 6 - Exponential Functions (7 Lessons) Chapter 7 - Logarithmic Functions (4 Lessons) Chapter 8 - Problem Solving with Exponential and Logarithmic Functions (4 lessons) Unit 4: Solving Equations and Inequalities Chapter 9 - Exponential and Logarithmic Equations ( 4 Lessons) Chapter 10 - Polynomial Equations (8 Lessons) Unit 5: Conics Chapter 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 Analysis Chapter 16 - Distributions or Discrete Data (6 Lessons) Chapter 17 - Distributions of Continuous Data (5 Lessons) For information on the course alignment to the Math 3 frameworks, please download the Georgia Math 3 Alignment document from The Table of Contents reflects the topics that will be covered in Georgia Mathematics 3. This information is subject to minor change prior to final printing. Frick Building 20th Floor 437 Grant Street Pittsburgh, PA Toll Free: Local: Fax: info@carnegielearning.com