Preface 

x  
Acknowledgments 

xvii  

An Introduction to Problem Solving 


1  (68) 

Mathematics and Problem Solving 


3  (19) 

Explorations with Patterns 


22  (17) 


39  (14) 


53  (16) 

Questions from the Classroom 


64  (1) 

Chapter Outline and Review 


65  (4) 

Sets, Whole Numbers, and Functions 


69  (83) 


71  (13) 

Other Set Operations and Their Properties 


84  (12) 

Addition and Subtraction of Whole Numbers 


96  (15) 

Multiplication and Division of Whole Numbers 


111  (17) 


128  (24) 

Questions from the Classroom 


146  (1) 

Chapter Outline and Review 


147  (5) 

Numeration Systems and WholeNumber Computation 


152  (62) 


153  (16) 

Algorithms for Whole Number Addition and Subtraction 


169  (13) 

Algorithms for WholeNumber Multiplication and Division 


182  (17) 

Mental Mathematics and Estimation for WholeNumber Operations 


199  (15) 

Questions from the Classroom 


208  (1) 

Chapter Outline and Review 


209  (5) 

Integers and Number Theory 


214  (83) 

Integers and the Operations of Addition and Subtraction 


216  (15) 

Multiplication and Division of Integers 


231  (15) 


246  (13) 

Prime and Composite Numbers 


259  (14) 

Greatest Common Divisor and Least Common Multiple 


273  (12) 

Clock and Modular Arithmetic 


285  (12) 

Questions from the Classroom 


292  (1) 

Chapter Outline and Review 


293  (4) 

Rational Numbers as Fractions 


297  (67) 

The Set of Rational Numbers 


299  (15) 

Addition and Subtraction of Rational Numbers 


314  (15) 

Multiplication and Division of Rational Numbers 


329  (17) 


346  (18) 

Questions from the Classroom 


358  (1) 

Chapter Outline and Review 


359  (5) 

Decimals, Percents, and Real Numbers 


364  (67) 


366  (8) 


374  (15) 


389  (9) 


398  (9) 


407  (14) 


421  (10) 

Questions from the Classroom 


427  (1) 

Chapter Outline and Review 


428  (3) 


431  (70) 

How Probabilities Are Determined 


433  (15) 

Multistage Experiments with Tree Diagrams and Geometric Probabilities 


448  (19) 

Using Simulations in Probability 


467  (8) 

Odds, Conditional Probability, and Expected Value 


475  (9) 

Using Permutations and Combinations in Probability 


484  (17) 

Questions from the Classroom 


496  (1) 

Chapter Outline and Review 


497  (4) 

Data Analysis/Statistics: An Introduction 


501  (69) 

Statistical Graphs of Categorical and Numerical Data 


503  (21) 

Measures of Central Tendency and Variation 


524  (28) 


552  (18) 

Questions from the Classroom 


564  (1) 

Chapter Outline and Review 


564  (6) 


570  (73) 


572  (17) 


589  (11) 


600  (14) 

Geometry in Three Dimensions 


614  (14) 


628  (15) 

Questions from the Classroom 


637  (1) 

Chapter Outline and Review 


638  (5) 

Constructions, Congruence, and Similarity 


643  (92) 

Congruence Through Constructions 


644  (18) 

Other Congruence Properties 


662  (7) 


669  (12) 

Similar Triangles and Similar Figures 


681  (17) 

Trigonometry Ratios via Similarity 


698  (9) 

Lines in a Cartesian Coordinate System 


707  (28) 

Questions from the Classroom 


729  (1) 

Chapter Outline and Review 


730  (5) 


735  (93) 


737  (13) 

Areas of Polygons and Circles 


750  (20) 

The Pythagorean Theorem and the Distance Formula 


770  (16) 


786  (12) 

Volume, Mass, and Temperature 


798  (30) 

Questions from the Classroom 


821  (1) 

Chapter Outline and Review 


822  (6) 

Motion Geometry and Tessellations 


828  (65) 

Translations and Rotations 


830  (15) 

Reflections and Glide Reflections 


845  (13) 


858  (10) 


868  (11) 

Tessellations of the Plane 


879  (14) 

Questions from the Classroom 


887  (1) 

Chapter Outline and Review 


887  (6) 
Appendix I Using a Spreadsheet 

893  (8) 
Appendix II Graphing Calculators 

901  (10) 
Appendix III Using a Geometry Drawing Utility 

911  (24) 
Answers 

935  (84) 
Index 

1019  