Middle School Math: Course 1

by Charles, Randall I.; Dossey, John A.; Leinwand, Steven J.; Seeley, Cathy L.; Embse, Charles B. Vonder

• ISBN13: 9780201364033
• ISBN10: 0201364034
• Format: Hardcover
• Copyright: 1999-01-01
• Publisher: Pearson Prentice Hall

Table of Contents

Problem Solving Handbook	xix
Solving Problems	xx
Problem Solving Strategies	xxii
Statistics - Real World Use of Whole Numbers	2	(60)
Problem Solving Focus Reading the Problem	4	(2)
SECTION 1A Reading and Interpreting Graphs
Reading Graphs	6	(5)
Misleading Graphs	11	(5)
Scatterplots and Trends	16	(8)
Section 1A Connect	21	(1)
Section 1A Review	22	(2)
SECTION 1B Displaying Data
Tallies, Frequency Charts, and Line Plots	24	(5)
Scales and Bar Graphs	29	(5)
Stem-and-Leaf Diagrams	34	(8)
Section 1B Connect	39	(1)
Section 1B Review	40	(2)
SECTION 1C Describing Data
Median and Mode	42	(4)
The Meaning of Mean	46	(5)
Technology Using a Spreadsheet: Finding the Median	50	(1)
The Effects of Outliers	51	(11)
Section 1C Connect	55	(1)
Section 1C Review	56	(1)
Extend Key Ideas Box-and-Whisker Plots	57	(1)
Chapter 1 Summary and Review	58	(2)
Chapter 1 Assessment	60	(1)
Cumulative Review Chapter 1	61	(1)
Connecting Arithmetic to Algebra	62	(72)
Problem Solving Focus Finding Unnecessary Information	64	(2)
SECTION 2A Making Sense of Large Numbers
Reading and Writing Large Numbers	66	(4)
Rounding Large Numbers	70	(4)
Comparing and Ordering Numbers	74	(4)
Exponents	78	(8)
Section 2A Connect	83	(1)
Section 2A Review	84	(2)
SECTION 2B Number Sense and Operation Sense
Mental Math	86	(4)
Estimating Sums and Differences	90	(4)
Estimating Products and Quotients	94	(4)
Order of Operations	98	(4)
Numerical Patterns	102	(8)
Section 2B Connect	107	(1)
Section 2B Review	108	(2)
SECTION 2C Introduction to Algebra
Variables and Expressions	110	(4)
Writing Expressions	114	(4)
Using Equations	118	(4)
Solving Equations	122	(12)
Technology Using a Spreadsheet: Using Guess and Check	126	(1)
Section 2C Connect	127	(1)
Section 2C Review	128	(1)
Extend Key Ideas Triangular and Square Numbers	129	(1)
Chapter 2 Summary and Review	130	(2)
Chapter 2 Assessment	132	(1)
Cumulative Review Chapters 1-2	133	(1)
Decimals	134	(72)
Problem Solving Focus Reading the Problem	136	(2)
SECTION 3A Decimal Concepts
Decimal Notation	138	(4)
Rounding Decimals	142	(6)
Technology Using a Spreadsheet: Formatting Decimal Data	147	(1)
Comparing and Ordering Decimals	148	(5)
Scientific Notation	153	(7)
Section 3A Connect	157	(1)
Section 3A Review	158	(2)
SECTION 3B Adding and Subtracting with Decimals
Estimating with Decimals	160	(4)
Adding and Subtracting Decimal Numbers	164	(5)
Solving Decimal Equations: Addition and Subtraction	169	(7)
Section 3B Connect	173	(1)
Section 3B Review	174	(2)
SECTION 3C Multiplying and Dividing with Decimals
Multiplying a Whole Number by a Decimal	176	(5)
Multiplying a Decimal by a Decimal	181	(4)
Dividing by a Whole Number	185	(5)
Dividing by a Decimal	190	(5)
Solving Decimal Equations: Multiplication and Division	195	(11)
Section 3C Connect	199	(1)
Section 3C Review	200	(1)
Extend Key Ideas Binary Numbers	201	(1)
Chapter 3 Summary and Review	202	(2)
Chapter 3 Assessment	204	(1)
Cumulative Review Chapters 1-3	205	(1)
Measurement	206	(60)
Problem Solving Focus Finding Unnecessary Information	208	(2)
SECTION 4A Units of Measurement
Perimeter	210	(5)
Converting in the Metric System	215	(5)
Using Conversion Factors	220	(8)
Section 4A Connect	225	(1)
Section 4A Review	226	(2)
SECTION 4B Area of Polygons
Area of Squares and Rectangles	228	(5)
Area of Parallelograms	233	(4)
Area of Triangles	237	(9)
Technology Using Dynamic Geometry Software: Finding the Sum of the Angles Inside a Quadrilateral	242	(1)
Section 4B Connect	243	(1)
Section 4B Review	244	(2)
SECTION 4C Circle
Discovering Pi	246	(4)
Area of Circles	250	(4)
Area of Irregular Figures	254	(12)
Section 4C Connect	259	(1)
Section 4C Review	260	(1)
Extend Key Ideas Square Roots	261	(1)
Chapter 4 Summary and Review	262	(2)
Chapter 4 Assessment	264	(1)
Cumulative Review Chapters 1-4	265	(1)
Patterns and Number Theory	266	(54)
Problem Solving Focus Identifying Missing Information	268	(2)
SECTION 5A Number Theory
Divisibility	270	(5)
Prime Factorization	275	(5)
Least Common Multiples	280	(8)
Section 5A Connect	285	(1)
Section 5A Review	286	(2)
SECTION 5B Connecting Fractions and Decimals
Understanding Fractions	288	(5)
Fractions in Lowest Terms	293	(5)
Improper Fractions and Mixed Numbers	298	(4)
Converting Fractions and Decimals	302	(6)
Technology Using a Spreadsheet: Finding Decimal Equivalents for Common Fractions	307	(1)
Comparing and Ordering	308	(12)
Section 5B Connect	313	(1)
Section 5B Review	314	(1)
Extend Key Ideas Venn Diagrams	315	(1)
Chapter 5 Summary and Review	316	(2)
Chapter 5 Assessment	318	(1)
Cumulative Review Chapters 1-5	319	(1)
Adding and Subtracting Fractions	320	(42)
Problem Solving Focus Interpreting Math Phrases	322	(2)
SECTION 6A Adding and Subtracting Fractions
Adding and Subtracting Fractions with Like Denominators	324	(4)
Adding and Subtracting Fractions with Unlike Denominators	328	(6)
Technology Using a Fraction Calculator: Finding Fraction Sums and Differences	333	(1)
Solving Fraction Equations: Addition and Subtraction	334	(8)
Section 6A Connect	339	(1)
Section 6A Review	340	(2)
SECTION 6B Adding and Subtracting Mixed Numbers
Estimation: Sums and Differences of Mixed Numbers	342	(4)
Adding Mixed Numbers	346	(4)
Subtracting Mixed Numbers	350	(12)
Section 6B Connect	355	(1)
Section 6B Review	356	(1)
Extend Key Ideas Elapsed Time	357	(1)
Chapter 6 Summary and Review	358	(2)
Chapter 6 Assessment	360	(1)
Cumulative Review Chapters 1-6	361	(1)
Multiplying and Dividing Fractions	362	(42)
Problem Solving Focus Identifying Missing Information	364	(2)
SECTION 7A Multiplying Fractions
Estimation: Products and Quotients of Fractions	366	(4)
Multiplying by a Whole Number	370	(5)
Multiplying by a Fraction	375	(7)
Section 7A Connect	379	(1)
Section 7A Review	380	(2)
SECTION 7B Dividing Fractions
Dividing Whole Numbers by Fractions	382	(5)
Dividing Fractions by Fractions	387	(5)
Technology Using a Fraction Calculator: Finding Fraction Products and Quotients	391	(1)
Solving Fraction Equations: Multiplication and Division	392	(12)
Section 7B Connect	397	(1)
Section 7B Review	398	(1)
Extend Key Ideas Converting Uneven Units	399	(1)
Chapter 7 Summary and Review	400	(2)
Chapter 7 Assessment	402	(1)
Cumulative Review Chapters 1-7	403	(1)
The Geometry of Polygons	404	(60)
Problem Solving Focus Interpreting Math Phrases	406	(2)
SECTION 8A Lines and Angles
Classifying Lines	408	(4)
Classifying Angles	412	(4)
Measuring Angles	416	(8)
Section 8A Connect	421	(1)
Section 8A Review	422	(2)
SECTION 8B Polygons
Exploring Angles in a Triangle	424	(4)
Exploring Sides of a Triangle	428	(4)
Polygons	432	(4)
Quadrilaterals	436	(8)
Technology Using Dynamic Geometry Software: Finding Relationships in Triangles	440	(1)
Section 8B Connect	441	(1)
Section 8B Review	442	(2)
SECTION 8C Transformations
Flips and Line Symmetry	444	(4)
Turns and Rotational Symmetry	448	(5)
Slides and Tessellations	453	(11)
Section 8C Connect	457	(1)
Section 8C Review	458	(1)
Extend Key Ideas Constructions	459	(1)
Chapter 8 Summary and Review	460	(2)
Chapter 8 Assessment	462	(1)
Cumulative Review Chapters 1-8	463	(1)
Integers and the Coordinate Plane	464	(46)
Problem Solving Focus Solving Problems	466	(2)
SECTION 9A Integers
Understanding Integers	468	(4)
Adding Integers	472	(4)
Subtracting Integers	476	(5)
Multiplying and Dividing Integers	481	(7)
Section 9A Connect	485	(1)
Section 9A Review	486	(2)
SECTION 9B Graphing on the Coordinate Plane
The Coordinate Plane	488	(5)
Technology Using Browser Software: Research on the World Wide Web	492	(1)
Graphing Slides and Flips	493	(5)
Graphing Equations	498	(12)
Section 9B Connect	503	(1)
Section 9B Review	504	(1)
Extend Key Ideas Negative Exponents	505	(1)
Chapter 9 Summary and Review	506	(2)
Chapter 9 Assessment	508	(1)
Cumulative Review Chapters 1-9	509	(1)
Ratio, Proportion, and Percent	510	(66)
Problem Solving Focus Checking for a Reasonable Answer	512	(2)
SECTION 10A Ratios and Rates
What Is a Ratio?	514	(4)
Equal Ratios	518	(5)
What Is a Rate?	523	(7)
Section 10A Connect	527	(1)
Section 10A Review	528	(2)
SECTION 10B Proportions
What Is a Proportion?	530	(4)
Solving Proportions Using Cross Products	534	(4)
Solving Proportions Using Unit Rates	538	(5)
Similar Figures	543	(7)
Section 10B Connect	547	(1)
Section 10B Review	548	(2)
SECTION 10C Percents
What Is a Percent?	550	(4)
Estimating Percents	554	(4)
Connecting Percents to Fractions and Decimals	558	(5)
Finding a Percent of a Number	563	(13)
Technology Using a Spreadsheet: Creating a Circle Graph	568	(1)
Section 10C Connect	569	(1)
Section 10C Review	570	(1)
Extend Key Ideas Calculating Tips	571	(1)
Chapter 10 Summary and Review	572	(2)
Chapter 10 Assessment	574	(1)
Cumulative Review Chapters 1-10	575	(1)
Solids and Measurement	576	(46)
Problem Solving Focus Checking the Rules of the Problem	578	(2)
SECTION 11A Solids and Surface Area
Classifying Solids	580	(4)
Exploring Surface Area	584	(4)
Surface Area Formulas	588	(5)
Surface Area of a Cylinder	593	(9)
Technology Using a Spreadsheet: Finding the Surface Area of a Cylinder	598	(1)
Section 11A Connect	599	(1)
Section 11A Review	600	(2)
SECTION 11B Volume
Three-Dimensional Figures	602	(4)
Exploring Volume	606	(4)
Calculating Volume	610	(12)
Section 11B Connect	615	(1)
Section 11B Review	616	(1)
Extend Key Ideas Euler's Formula	617	(1)
Chapter 11 Summary and Review	618	(2)
Chapter 11 Assessment	620	(1)
Cumulative Review Chapters 1-11	621	(1)
Probability	622	(55)
Problem Solving Focus Checking for a Reasonable Answer	624	(2)
SECTION 12A Introduction to Probability
Probability	626	(4)
Making Predictions	630	(5)
Technology Using a Spreadsheet: Using Random Numbers	634	(1)
Geometric Models of Probability	635	(7)
Section 12A Connect	639	(1)
Section 12A Review	640	(2)
SECTION 12B Fairness
Tree Diagrams	642	(5)
Compound Events	647	(4)
Fairness and Unfairness	651	(11)
Section 12B Connect	655	(1)
Section 12B Review	656	(1)
Extend Key Ideas ``Not'' Probabilities	657	(1)
Chapter 12 Summary and Review	658	(2)
Chapter 12 Assessment	660	(1)
Cumulative Review Chapters 1-12	661	(1)
STUDENT RESOURCES
Chapter Review	662	(12)
Tables	674	(3)
Glossary	677	(6)
Selected Answers	683	(15)
Credits	698	(3)
Index	701