Mathematics in Action

by McGraw-Hill

• ISBN13: 9780021085071
• ISBN10: 0021085072
• Format: Hardcover
• Copyright: 1991-01-01
• Publisher: Macmillan/McGraw-Hill School

Table of Contents

Thinking Mathematically
Letter to Students	1	(1)
Applying Mathematics	2	(2)
Using Number Concepts	4	(1)
Collecting and Interpreting Data	5	(1)
Visual Reasoning	6	(2)
Estimating	8	(2)
Logical Reasoning	10	(1)
Understanding Numbers and Interpreting Data	11	(34)
Math Connections Statistics / Problem Solving
Decimal Place Value	12	(2)
Making Frequency Tables	14	(2)
Problem Solving Using the Five-Step Process	16	(2)
Making Line Plots	18	(2)
Thinking Mathematically Using Number Concepts	20	(2)
Interpreting Bar and Line Graphs	22	(2)
Making Bar Graphs	24	(2)
Making Line Graphs	26	(2)
Problem Solving Strategy: Conducting an Experiment	28	(2)
Decision Making Choosing a Disc Jockey	30	(2)
Curriculum Connection Social Studies	32	(1)
Technology Computer: Problem Solving	33	(1)
Extra Practice	34	(4)
Practice Plus	38	(2)
Chapter Review	40	(2)
Chapter Test	42	(1)
Enrichment for All Octal Numbers	43	(1)
Cumulative Review	44	(1)
Applying Addition, Subtraction: Whole Numbers, Decimals	45	(36)
Math Connections Perimeter / Algebra / Problem Solving	45	(1)
Mental Math: Adding and Subtracting	46	(2)
Estimating Sums, Differences by Rounding	48	(2)
Front-End Estimation: Sums and Differences	50	(2)
Adding and Subtracting Whole Numbers and Decimals	52	(2)
Problem Solving Strategy: Using Estimation	54	(2)
Thinking Mathematically Investigating Patterns	56	(2)
Metric Units of Length: Perimeter	58	(2)
Using Addition and Subtraction with Equations	60	(2)
Using Addition and Subtraction with Inequalities	62	(2)
Problem Solving Strategy: Guess, Test, and Revise	64	(2)
Decision Making Choosing What to do for Lunch	66	(2)
Curriculum Connection Literature	68	(1)
Technology Computer: Line Graphs	69	(1)
Extra Practice	70	(4)
Practice Plus	74	(2)
Chapter Review	76	(2)
Chapter Test	78	(1)
Enrichment for All Generate Magic Squares	79	(1)
Cumulative Review	80	(1)
Applying Multiplication: Whole Numbers, Decimals	81	(40)
Math Connections Area / Circumference / Problem Solving
Mental Math: Multiplying by Powers of 10	82	(2)
Mental Math: Decimals and Powers of 10	84	(2)
Estimating Products: Whole Numbers and Decimals	86	(2)
Multiplying Whole Numbers and Decimals	88	(2)
Problem Solving Strategy: Solving a Multistep Problem	90	(2)
Thinking Mathematically Investigating Patterns	92	(2)
Using Exponents	94	(2)
Multiplying Greater Numbers: Scientific Notation	96	(2)
Areas of Rectangles	98	(2)
Areas of Parallelograms, Triangles, and Trapezoids	100	(2)
Circumferences and Areas of Circles	102	(2)
Problem Solving Strategy: Drawing a Diagram	104	(2)
Decision Making Choosing a Save-an-Animal Project	106	(2)
Curriculum Connection Art	108	(1)
Technology Calculator: Carpet Sale	109	(1)
Extra Practice	110	(4)
Practice Plus	114	(2)
Chapter Review	116	(2)
Chapter Test	118	(1)
Enrichment for All Estimating Areas	119	(1)
Cumulative Review	120	(1)
Applying Division: Whole Numbers, Decimals	121	(48)
Math Connections Algebra / Metric Measurement / Statistics / Problem Solving
Mental Math: Dividing by Powers of 10	122	(2)
Mental Math: Decimals and Powers of 10	124	(2)
Estimating Quotients	126	(2)
Dividing Decimals by Whole Numbers	128	(2)
Problem Solving Finding Needed Information	130	(2)
Thinking Mathematically Measuring	132	(2)
Dividing Decimals by Decimals	134	(2)
Rounding Decimal Quotients	136	(2)
Dividing Greater Numbers: Scientific Notation	138	(2)
Using Multiplication and Division with Equations	140	(2)
Using Multiplication and Division with Inequalities	142	(2)
Metric Units of Capacity and Mass	144	(2)
Converting Metric Measures	146	(2)
Problem Solving Strategy: Using Estimation	148	(2)
Mean, Median, Mode, and Range	150	(2)
Effects of Change on Data	152	(2)
Decision Making Choosing a Vacation	154	(2)
Curriculum Connection Social Studies	156	(1)
Technology Computer: Converting Measurements	157	(1)
Extra Practice	158	(4)
Practice Plus	162	(2)
Chapter Review	164	(2)
Chapter Test	166	(1)
Enrichment for All Perpetual Calendar	167	(1)
Cumulative Review	168	(1)
Algebra: Equations and Formulas	169	(36)
Math Connections Volume / Problem Solving
Order of Operations	170	(2)
Variables and Formulas	172	(2)
Writing Algebraic Expressions	174	(2)
Writing Algebraic Sentences	176	(2)
Thinking Mathematically Logical Reasoning	178	(2)
Problem Solving Strategy: Using Number Sense	180	(2)
Solving Equations: Adding and Subtracting	182	(2)
Solving Equations: Multiplying and Dividing	184	(2)
Applying Equations: Volumes of Prisms	186	(2)
Problem Solving Strategy: Using a Formula	188	(2)
Decision Making Where to Hold the End-of-Year Party	190	(2)
Curriculum Connection Science	192	(1)
Technology Computer: Spreadsheets	193	(1)
Extra Practice	194	(4)
Practice Plus	198	(2)
Chapter Review	200	(2)
Chapter Test	202	(1)
Enrichment for All Perfect, Deficient, and Abundant Numbers	203	(1)
Cumulative Review	204	(1)
Patterns and Number Theory	205	(34)
Math Connection Problem Solving
Sequences	206	(2)
Sums of Sequences	208	(2)
Problem Solving Strategy: Finding a Pattern	210	(2)
Mental Math: Divisibility and Factors	212	(2)
Primes and Prime Factorization	214	(2)
Problem Solving Strategy: Making an Organized List	216	(2)
Thinking Mathematically Logical Reasoning	218	(2)
Greatest Common Factor	220	(2)
Least Common Multiple	222	(2)
Decision Making Choosing a Science Project to Demonstrate	224	(2)
Curriculum Connection Music	226	(1)
Technology Computer: Number Patterns	227	(1)
Extra Practice	228	(4)
Practice Plus	232	(2)
Chapter Review	234	(2)
Chapter Test	236	(1)
Enrichment for All Pascal's Triangle	237	(1)
Cumulative Review	238	(1)
Fractions: Addition and Subtraction	239	(42)
Math Connections Algebra / Problem Solving
Equivalent Fractions	240	(2)
Mixed Numbers and Improper Fractions	242	(2)
Fractions, Mixed Numbers, and Decimals	244	(2)
Terminating and Repeating Decimals	246	(2)
Ordering Mixed Numbers and Decimals	248	(2)
Problem Solving Strategy: Solving a Simpler Problem	250	(2)
Thinking Mathematically Estimating	252	(2)
Estimating Sums and Differences	254	(2)
Adding and Subtracting Fractions	256	(2)
Adding and Subtracting Mixed Numbers	258	(2)
Renaming Before Subtracting	260	(2)
Solving Equations: Adding and Subtracting Fractions	262	(2)
Problem Solving Strategy: Using Different Strategies	264	(2)
Decision Making Planning a Cable TV Show	266	(2)
Curriculum Connection Music	268	(1)
Technology Computer: Databases	269	(1)
Extra Practice	270	(4)
Practice Plus	274	(2)
Chapter Review	276	(2)
Chapter Test	278	(1)
Enrichment for All Paradoxes	279	(1)
Cumulative Review	280	(1)
Fractions: Multiplication and Division	281	(44)
Math Connections Algebra / Customary Measurement / Problem Solving
Multiplying Fractions	282	(2)
Multiplying Fractions by Mixed Numbers	284	(2)
Multiplying Mixed Numbers	286	(2)
Problem Solving Strategy: Solving a Simpler Problem	288	(2)
Dividing Fractions: Using Common Denominators	290	(2)
Dividing Fractions: Using Reciprocals	292	(2)
Thinking Mathematically Using Number Concepts	294	(2)
Dividing Mixed Numbers	296	(2)
Mixed Number Divisors	298	(2)
Solving Equations: Multiplying and Dividing Fractions	300	(2)
Customary Units of Measure	302	(2)
Converting Customary Units	304	(2)
Problem Solving Strategy: Working Backward	306	(2)
Mental Math: Scaling Up and Down	308	(2)
Decision Making Choosing and Buying Carpeting	310	(2)
Curriculum Connection Science	312	(1)
Technology Calculator: School Records	313	(1)
Extra Practice	314	(4)
Practice Plus	318	(2)
Chapter Review	320	(2)
Chapter Test	322	(1)
Enrichment for All Renaming Repeating Decimals as Fractions	323	(1)
Cumulative Review	324	(1)
Geometry	325	(48)
Math Connection Problem Solving
Lines and Angles	326	(2)
Measuring Angles	328	(2)
Construct Congruent Segments and Angles	330	(2)
Lines: Intersecting, Perpendicular, Parallel	332	(2)
Construct Perpendicular and Parallel Lines	334	(2)
Problem Solving Strategies Review	336	(2)
Construct Segment and Angle Bisectors	338	(2)
Triangles	340	(2)
Thinking Mathematically Visual Reasoning	342	(2)
Polygons	344	(2)
Congruence and Similarity	346	(2)
Symmetry and Reflections	348	(2)
Translations and Rotations	350	(2)
Problem Solving Strategy: Using Spatial Thinking	352	(2)
Pythagorean Theorem	354	(2)
Square Roots	356	(2)
Decision Making Planning a Wall Mural	358	(2)
Curriculum Connection Science	360	(1)
Technology Computer: Map Making	361	(1)
Extra Practice	362	(4)
Practice Plus	366	(2)
Chapter Review	368	(2)
Chapter Test	370	(1)
Enrichment for All Constructing Triangles	371	(1)
Cumulative Review	372	(1)
Ratio, Proportion, and Percent	373	(46)
Math Connections Algebra / Geometry / Problem Solving
Ratios and Equal Ratios	374	(2)
Using Rates: Mental Math	376	(2)
Solving Proportions	378	(2)
Scale Drawings and Similar Figures	380	(2)
Problem Solving Strategy: Using Proportions	382	(2)
Thinking Mathematically Investigating Patterns	384	(2)
Percent	386	(2)
Decimals and Percents	388	(2)
Fractions and Percents	390	(2)
Percents Greater Than 100 and Less Than 1	392	(2)
Percent of a Number	394	(2)
Percent of a Number: Mental Math and Estimation	396	(2)
Percent of a Number: Using Equations and Proportions	398	(2)
Exploring Proportions and Percents	400	(2)
Problem Solving Checking for a Reasonable Answer	402	(2)
Decision Making Choosing a VCR	404	(2)
Curriculum Connection Art	406	(1)
Technology Computer: Spreadsheets	407	(1)
Extra Practice	408	(4)
Practice Plus	412	(2)
Chapter Review	414	(2)
Chapter Test	416	(1)
Enrichment for All Golden Ratio	417	(1)
Cumulative Review	418	(1)
Statistics	419	(36)
Math Connection Problem Solving
Reading and Interpreting Histograms	420	(2)
Reading and Interpreting Circle Graphs	422	(2)
Making Circle Graphs	424	(2)
Problem Solving Strategy: Making a Graph	426	(2)
Thinking Mathematically Logical Reasoning	428	(2)
Representing Data	430	(2)
Misleading Statistics	432	(2)
Making Stem-and-Leaf Plots	434	(2)
Making Box-and-Whisker Plots	436	(2)
Problem Solving Strategy: Drawing a Venn Diagram	438	(2)
Decision Making Choosing a Budget	440	(2)
Curriculum Connection Social Studies	442	(1)
Technology Computer: Histograms	443	(1)
Extra Practice	444	(4)
Practice Plus	448	(2)
Chapter Review	450	(2)
Chapter Test	452	(1)
Enrichment for All Estimating Wildlife Populations	453	(1)
Cumulative Review	454	(1)
Measurement: Surface Area and Volume	455	(38)
Math Connections Algebra / Problem Solving
Spatial Visualization	456	(4)
Surface Area: Prisms	460	(2)
Surface Area: Pyramids	462	(2)
Surface Area: Cylinders	464	(2)
Problem Solving Strategy: Making a Table	466	(2)
Thinking Mathematically Visual Reasoning	468	(2)
Volume: Cylinders	470	(2)
Volume: Pyramids	472	(2)
Volume: Cones	474	(2)
Problem Solving Strategy: Making a Physical Model	476	(2)
Decision Making Choosing a Drama Club Outing	478	(2)
Curriculum Connection Social Studies	480	(1)
Technology Calculator: Volume of a Cone	481	(1)
Extra Practice	482	(4)
Practice Plus	486	(2)
Chapter Review	488	(2)
Chapter Test	490	(1)
Enrichment for All Exploring the Lateral Area of a Cone	491	(1)
Cumulative Review	492	(1)
Probability	493	(44)
Math Connection Problem Solving
Modelling an Experiment	494	(2)
Probability of Simple Events	496	(2)
Probability of Mutually Exclusive Events	498	(2)
Experimental Probability: Using Random Digits	500	(2)
Statistics and Probability: Making Predictions	502	(2)
Problem Solving Strategy: Conducting a Simulation	504	(2)
Thinking Mathematically Experimenting and Predicting	506	(2)
Representing Outcomes	508	(2)
Probability of Independent Events	510	(2)
Dependent Events	512	(2)
Probability of Dependent Events	514	(2)
Problem Solving Strategy: Using More Than One Strategy	516	(2)
Counting Outcomes: Permutations	518	(2)
Counting Outcomes: Combinations	520	(2)
Decision Making Choosing a Candidate	522	(2)
Curriculum Connection Social Studies	524	(1)
Technology Computer: Predicting Outcomes	525	(1)
Extra Practice	526	(4)
Practice Plus	530	(2)
Chapter Review	532	(2)
Chapter Test	534	(1)
Enrichment for All Buffon's Needle Problem	535	(1)
Cumulative Review	536	(1)
Algebra: Integers and Coordinate Graphing	537	(44)
Math Connections Geometry / Problem Solving
Comparing and Ordering Integers	538	(2)
Adding Integers with Counters	540	(2)
Adding Integers	542	(2)
Subtracting Integers with Counters	544	(2)
Subtracting Integers	546	(2)
Adding and Subtracting Integers	548	(2)
Problem Solving Strategy: Writing and Solving an Equation	550	(2)
Thinking Mathematically Using Number Concepts	552	(2)
Multiplying Integers	554	(2)
Dividing Integers	556	(2)
Scientific Notation	558	(2)
Graphing Sentences	560	(2)
Graphing Ordered Pairs	562	(2)
Problem Solving Strategies Review	564	(2)
Decision Making Choosing a Bicycle Route	566	(2)
Curriculum Connection Science	568	(1)
Technology Calculator: Order of Operations	569	(1)
Extra Practice	570	(4)
Practice Plus	574	(2)
Chapter Review	576	(2)
Chapter Test	578	(1)
Enrichment for All Graphing Translations and Reflections	579	(1)
Cumulative Review	580	(1)
Databank	581	(6)
Glossary	587	(5)
Table of Measure	592	(1)
Index	593