Description
Book SynopsisAbout our authors
Rick Billstein is a Professor of Mathematics at the University of Montana. He has worked in mathematics teacher education at this university for over 40 years and his current research is in the areas of curriculum development and mathematics teacher education. He teaches courses for future teachers in the Mathematics Department. He served as the site director for the Show-Me Project, an NSF-funded project supporting the dissemination and implementation of standards-based middle grades mathematics curricula. He worked on the NSF grant Tinker Plots to develop new data analysis software and he serves on the Advisory Boards for several other national projects. From 1992-1997, he directed the NSF-funded Six Through Eight Mathematics (STEM) middle school mathematics curriculum project and is now directing the Middle Grades MATH Thematics Phase II Project. Dr. Billstein has published articles in over 20 different journals and has co-authored over
Table of Contents
Table of Contents
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An Introduction to Problem Solving
- 1-1 Mathematics and Problem Solving
- 1-2 Explorations with Patterns
- Chapter 1 Review
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Introduction to Logic and Sets
- 2-1 Reasoning and Logic: An Introduction
- 2-2 Describing Sets
- 2-3 Other Set Operations
- Chapter 2 Review
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Numeration Systems and Whole Number Operations
- 3-1 Numeration Systems
- 3-2 Addition of Whole Numbers
- 3-3 Subtraction of Whole Numbers
- 3-4 Multiplication of Whole Numbers
- 3-5 Division of Whole Numbers
- Chapter 3 Review
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Number Theory
- 4-1 Divisibility
- 4-2 Prime and Composite Numbers
- 4-3 Greatest Common Divisor and Least Common Multiple
- Module A: Clock and Modular Arithmetic–online
- Chapter 4 Review
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Integers
- 5-1 Addition and Subtraction of Integers
- 5-2 Multiplication and Division of Integers
- Chapter 5 Review
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Rational Numbers and Proportional Reasoning
- 6-1 The Set of Rational Numbers
- 6-2 Addition, Subtraction, and Estimation with Rational Numbers
- 6-3 Multiplication, Division, and Estimation with Rational Numbers
- 6-4 Proportional Reasoning
- Chapter 6 Review
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Decimals, Percents, and Real Numbers
- 7-1 Terminating Decimals
- 7-2 Operations on Decimals
- 7-3 Repeating Decimals
- 7-4 Percents
- 7-5 Real Numbers
- Chapter 7 Review
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Algebraic Thinking
- 8-1 Variables
- 8-2 Equals Relation and Equations
- 8-3 Functions
- 8-4 Equations in a Cartesian Coordinate System
- Module B: Using Real Numbers in Equations–online
- Chapter 8 Review
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Probability
- 9-1 Determining Probabilities
- 9-2 Multistage Experiments and Modeling Games
- 9-3 Simulations and Applications in Probability
- 9-4 Permutations and Combinations in Probability
- Chapter 9 Review
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Data Analysis/Statistics: An Introduction
- 10-1 Designing Experiments/Collecting Data
- 10-2 Displaying Data: Part I
- 10-3 Displaying Data: Part II
- 10-4 Measures of Central Tendency and Variation
- Chapter 10 Review
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Introductory Geometry
- 11-1 Basic Notions
- 11-2 Curves, Polygons, and Symmetry
- 11-3 More About Angles
- 11-4 Geometry in Three Dimensions
- Module C: Networks–online
- Chapter 11 Review
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Congruence and Similarity with Constructions
- 12-1 Congruence Through Constructions
- 12-2 Additional Congruence Theorems
- 12-3 Additional Constructions
- 12-4 Similar Triangles and Other Similar Figures
- Module D: Trigonometry Ratios via Similarity–online
- Chapter 12 Review
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Area, Pythagorean Theorem, and Volume
- 13-1 Linear Measure
- 13-2 Areas of Polygons and Circles
- 13-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle
- 13-4 Surface Areas
- 13-5 Volume, Mass, and Temperature
- Chapter 13 Review 890
- Technology Modules
- Module E: Spreadsheets–online
- Module F: Graphing Calculators–online
- Module H: GeoGebra–online
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Transformations
- 14-1 Translations, Rotations, and Tessellations
- 14-2 Reflections and Glide Reflections
- 14-3 Dilations 935
- Chapter 14 Review
Credits Answers to Problems Additional Instructor Answers (Annotated Instructor’s Edition only)
