Math

by Maletsky, Evan A.; Andrews, Angela Giglio; Bennett, Jennie M.; Burton, Grace M.; Luckie, Lynda A.; McLeod, Joyce C.

• ISBN13: 9780153347436
• ISBN10: 0153347430
• Format: Hardcover
• Copyright: 2004-01-01
• Publisher: Houghton Mifflin Harcourt School

Table of Contents

Why Learn Math?	xxii
Getting Ready! Addition and Subtraction Strategies	xxvi
UNIT 1 Understand Whole Numbers and Operations
Place Value and Number Sense
Check What You Know	1	(1)
Understand Place Value	2	(2)
Place Value Through Hundred Thousands	4	(2)
Place Value Through Millions	6	(4)
Problem Solving: Thinker's Corner
Benchmark Numbers	10	(2)
Problem Solving Skill: Use a Graph	12	(6)
Extra Practice	14	(1)
Review/Test	15	(1)
Standardized Test Prep	16	(2)
Compare and Order Whole Numbers	18	(20)
Check What You Know	19	(1)
Compare Numbers	20	(4)
Problem Solving: Thinker's Corner
Order Numbers	24	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Make a Table	28	(2)
Round Numbers	30	(8)
Problem Solving: Linkup to Reading
Extra Practice	34	(1)
Review/Test	35	(1)
Standardized Test Prep	36	(2)
Add and Subtract Whole Numbers	38	(24)
Check What You Know	39	(1)
Use Mental Math Strategies	40	(4)
Problem Solving: Thinker's Corner
Estimate Sums and Differences	44	(4)
Problem Solving: Thinker's Corner
Add and Subtract to 4--Digit Numbers	48	(2)
Subtract Across Zeros	50	(2)
Choose a Method	52	(4)
Problem Solving: Thinker's Corner
Problem Solving Skill: Estimate or Find Exact Answers	56	(6)
Extra Practice	58	(1)
Review/Test	59	(1)
Standardized Test Prep	60	(2)
Algebra Use Addition and Subtraction	62	(32)
Check What You Know	63	(1)
Expressions	64	(4)
Problem Solving: Linkup to Health
Addition Properties	68	(2)
Equations	70	(4)
Problem Solving: Thinker's Corner
Patterns: Find a Rule	74	(2)
Hands On Balance Equations	76	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Act It Out	80	(6)
Extra Practice	82	(1)
Review/Test	83	(1)
Standardized Test Prep	84	(2)
Unit Wrapup
It's in the Bag: Ring Place-Value Strip	86	(1)
Challenge: Other Bases	87	(1)
Study Guide and Review	88	(2)
Performance Assessment	90	(1)
Technology Linkup: Order Numbers	91	(1)
Problem Solving On Location in Minnesota	92	(2)
UNIT 2 Time, Data, and Graphing
Understand Time	94	(18)
Check What You Know	95	(1)
Telling Time	96	(2)
Elapsed Time	98	(4)
Problem Solving: Linkup to Reading
Problem Solving Skill: Sequence Information	102	(2)
Elapsed Time on a Calendar	104	(8)
Problem Solving: Linkup to Science
Extra Practice	108	(1)
Review/Test	109	(1)
Standardized Test Prep	110	(2)
Collect and Organize Data	112	(22)
Check What You Know	113	(1)
Collect and Organize Data	114	(4)
Problem Solving: Thinker's Corner
Hands On Find Mean, Median, and Mode	118	(4)
Problem Solving: Thinker's Corner
Read Line Plots	122	(2)
Make Stem-and-Leaf Plots	124	(2)
Compare Graphs	126	(2)
Problem Solving Strategy: Make a Graph	128	(6)
Extra Practice	130	(1)
Review/Test	131	(1)
Standardized Test Prep	132	(2)
Analyze and Graph Data	134	(28)
Check What You Know	135	(1)
Hands On Make Bar and Double-Bar Graphs	136	(2)
Read Line Graphs	138	(2)
Hands On Make Line Graphs	140	(2)
Hands On Make Circle Graphs	142	(2)
Choose an Appropriate Graph	144	(4)
Problem Solving: Thinker's Corner
Problem Solving Skill: Draw Conclusions	148	(6)
Extra Practice	150	(1)
Review/Test	151	(1)
Standardized Test Prep	152	(2)
Unit Wrapup
It's in the Bag: Gold Medal Graphing	154	(1)
Challenge: Time Zones	155	(1)
Study Guide and Review	156	(2)
Performance Assessment	158	(1)
Technology Linkup: Make Graphs	159	(1)
Problem Solving On Location in Oklahoma	160	(2)
UNIT 3 Multiplication and Division Facts
Practice Multiplication and Division Facts	162	(20)
Check What You Know	163	(1)
Algebra Relate Multiplication and Division	164	(2)
Multiply and Divide Facts Through 5	166	(2)
Hands On Multiply and Divide Facts Through 10	168	(4)
Problem Solving: Linkup to Art
Hands On Multiplication Table Through 12	172	(2)
Algebra Multiplication Properties	174	(2)
Problem Solving Skill: Choose the Operation	176	(6)
Extra Practice	178	(1)
Review/Test	179	(1)
Standardized Test Prep	180	(2)
Algebra Use Multiplication and Division Facts	182	(30)
Check What You Know	183	(1)
Expressions	184	(2)
Hands On Order of Operations	186	(2)
Expressions and Equations with Variables	188	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Work Backward	192	(2)
Hands On Balance Equations	194	(4)
Problem Solving: Linkup to Reading
Patterns: Find a Rule	198	(6)
Extra Practice	200	(1)
Review/Test	201	(1)
Standardized Test Prep	202	(2)
Unit Wrapup
It's in the Bag: Math First-Aid Kit	204	(1)
Challenge: Predict Patterns	205	(1)
Study Guide and Review	206	(2)
Performance Assessment	208	(1)
Technology Linkup: Calculator • Evaluate Expressions	209	(1)
Problem Solving On Location in Virginia	210	(2)
UNIT 4 Multiply by 1- and 2-Digit Numbers
Multiply By 1-Digit Numbers	212	(22)
Check What You Know	213	(1)
Algebra Mental Math: Multiplication Patterns	214	(2)
Estimate Products	216	(2)
Hands On Multiply 2-Digit Numbers	218	(4)
Problem Solving: Linkup to Reading
Multiply 3- and 4-Digit Numbers	222	(4)
Problem Solving: Thinker's Corner
Multiply with Zeros	226	(2)
Problem Solving Strategy: Write an Equation	228	(6)
Extra Practice	230	(1)
Review/Test	231	(1)
Standardized Test Prep	232	(2)
Multiply By Tens	234	(16)
Check What You Know	235	(1)
Algebra Mental Math: Multiplication Patterns	236	(2)
Hands On The Distributive Property	238	(2)
Multiply by Tens	240	(2)
Estimate Products	242	(2)
Problem Solving Strategy: Solve a Simpler Problem	244	(6)
Extra Practice	246	(1)
Review/Test	247	(1)
Standardized Test Prep	248	(2)
Multiply By 2-Digit Numbers	250	(26)
Check What You Know	251	(1)
Multiply 2-Digit Numbers	252	(4)
Problem Solving: Linkup to Science
Multiply 3-Digit Numbers	256	(2)
Choose a Method	258	(2)
Practice Multiplication Using Money	260	(2)
Problem Solving Skill: Multistep Problems	262	(6)
Extra Practice	264	(1)
Review/Test	265	(1)
Standardized Test Prep	266	(2)
Unit Wrapup
It's in the Bag: Magnetic Multiplication	268	(1)
Challenge: Mental Multiplication	269	(1)
Study Guide and Review	270	(2)
Performance Assessment	272	(1)
Technology Linkup: Calculator • Number Patterns	273	(1)
Problem Solving On Location in New Jersey	274	(2)
UNIT 5 Divide by 1- and 2-Digit Divisors
Understand Division	276	(18)
Check What You Know	277	(1)
Hands On Divide with Remainders	278	(2)
Hands On Model Division	280	(2)
Division Procedures	282	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Predict and Test	286	(2)
Algebra Mental Math: Division Patterns	288	(6)
Extra Practice	290	(1)
Review/Test	291	(1)
Standardized Test Prep	292	(2)
Divide By 1-Digit Divisors	294	(20)
Check What You Know	295	(1)
Estimate Quotients	296	(2)
Place the First Digit	298	(2)
Divide 3-Digit Numbers	300	(2)
Zeros in Division	302	(4)
Problem Solving: Linkup to Social Studies
Choose a Method	306	(2)
Problem Solving Skill: Interpret the Remainder	308	(6)
Extra Practice	310	(1)
Review/Test	311	(1)
Standardized Test Prep	312	(2)
Divide By 2-Digit Divisors	314	(20)
Check What You Know	315	(1)
Algebra Division Patterns to Estimate	316	(2)
Hands On Model Division	318	(2)
Division Procedures	320	(2)
Correcting Quotients	322	(4)
Problem Solving: Linkup to Reading
Problem Solving Skill: Choose the Operation	326	(2)
Find the Mean	328	(6)
Extra Practice	330	(1)
Review/Test	331	(1)
Standardized Test Prep	332	(2)
Number Theory	334	(28)
Check What You Know	335	(1)
Divisibility Rules	336	(2)
Hands On Factors and Multiples	338	(4)
Problem Solving: Thinker's Corner
Hands On Prime and Composite Numbers	342	(4)
Problem Solving: Linkup to History
Problem Solving Strategy: Find a Pattern	346	(2)
Square Numbers	348	(6)
Extra Practice	350	(1)
Review/Test	351	(1)
Standardized Test Prep	352	(2)
Unit Wrapup
It's in the Bag: Division Accordion Booklets	354	(1)
Challenge: Find Prime Factors	355	(1)
Study Guide and Review	356	(2)
Performance Assessment	358	(1)
Technology Linkup: Calculator • Remainders	359	(1)
Problem Solving On Location in Ohio	360	(2)
UNIT 6 Geometry and Algebra
Lines, Rays, and Angles	362	(16)
Check What You Know	363	(1)
Lines and Rays	364	(2)
Hands On Measure and Classify Angles	366	(4)
Problem Solving: Linkup to Art
Line Relationships	370	(2)
Problem Solving Strategy: Draw a Diagram	372	(6)
Extra Practice	374	(1)
Review/Test	375	(1)
Standardized Test Prep	376	(2)
Plane Figures	378	(18)
Check What You Know	379	(1)
Hands On Polygons	380	(2)
Classify Triangles	382	(2)
Hands On Classify Quadrilaterals	384	(4)
Problem Solving: Linkup to Reading
Problem Solving Strategy: Draw a Diagram	388	(2)
Hands On Circles	390	(6)
Extra Practice	392	(1)
Review/Test	393	(1)
Standardized Test Prep	394	(2)
Motion Geometry	396	(22)
Check What You Know	397	(1)
Hands On Turns and Symmetry	398	(4)
Problem Solving: Linkup to Science
Hands On Congruent and Similar Figures	402	(2)
Problem Solving Strategy: Make a Model	404	(2)
Hands On Transformations	406	(4)
Problem Solving: Thinker's Corner
Hands On Tessellations	410	(2)
Hands On Geometric Patterns	412	(6)
Extra Practice	414	(1)
Review/Test	415	(1)
Standardized Test Prep	416	(2)
Algebra Explore Negative Numbers and Graphing	418	(26)
Check What You Know	419	(1)
Temperature: Fahrenheit	420	(2)
Temperature: Celsius	422	(2)
Explore Negative Numbers	424	(2)
Problem Solving Skill: Make Generalizations	426	(4)
Hands On Explore Inequalities	428	(2)
Use a Coordinate Grid	430	(6)
Extra Practice	432	(1)
Review/Test	433	(1)
Standardized Test Prep	434	(2)
Unit Wrapup
It's in the Bag: Coordinate Treasures	436	(1)
Challenge: Explore the Coordinate Plane	437	(1)
Study Guide and Review	438	(2)
Performance Assessment	440	(1)
Technology Linkup: Transform Plane Figures	441	(1)
Problem Solving On Location in Illinois	442	(2)
UNIT 7 Fractions and Probability
Understand Fractions	444	(22)
Check What You Know	445	(1)
Read and Write Fractions	446	(2)
Hands On Equivalent Fractions	448	(4)
Problem Solving: Linkup to Music
Hands On Compare and Order Fractions	452	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Make a Model	456	(2)
Mixed Numbers	458	(8)
Problem Solving: Thinker's Corner
Extra Practice	462	(1)
Review/Test	463	(1)
Standardized Test Prep	464	(2)
Add and Subtract Fractions and Mixed Numbers	466	(22)
Check What You Know	467	(1)
Add Like Fractions	468	(4)
Problem Solving: Thinker's Corner
Hands On Subtract Like Fractions	472	(2)
Add and Subtract Mixed Numbers	474	(4)
Problem Solving: Thinker's Corner
Problem Solving Skill: Choose the Operation	478	(2)
Hands On Add Unlike Fractions	480	(2)
Hands On Subtract Unlike Fractions	482	(6)
Extra Practice	484	(1)
Review/Test	485	(1)
Standardized Test Prep	486	(2)
Outcomes and Probability	488	(28)
Check What You Know	489	(1)
Hands On Record Outcomes	490	(2)
Hands On Predict Outcomes of Experiments	492	(4)
Problem Solving: Linkup to Reading
Probability as a Fraction	496	(2)
Hands On More About Probability	498	(2)
Combinations	500	(2)
Problem Solving Strategy: Make an Organized List	502	(6)
Extra Practice	504	(1)
Review/Test	505	(1)
Standardized Test Prep	506	(2)
Unit Wrapup
It's in the Bag: Fraction Pizza Plates	508	(1)
Challenge: Test for Fairness	509	(1)
Study Guide and Review	510	(2)
Performance Assessment	512	(1)
Technology Linkup: Calculator • Add and Subtract Mixed Numbers	513	(1)
Problem Solving On Location in Idaho	514	(2)
UNIT 8 Measurement and Decimals
Customary Measurement	516	(22)
Check What You Know	517	(1)
Hands On Length: Choose the Appropriate Unit	518	(4)
Problem Solving: Thinker's Corner
Hands On Measure Fractional Parts	522	(4)
Problem Solving: Thinker's Corner
Algebra Change Linear Units	526	(2)
Hands On Capacity	528	(2)
Hands On Weight	530	(2)
Problem Solving Strategy: Compare Strategies	532	(6)
Extra Practice	534	(1)
Review/Test	535	(1)
Standardized Test Prep	536	(2)
Metric Measurement	538	(20)
Check What You Know	539	(1)
Hands On Metric Length	540	(4)
Problem Solving: Linkup to Reading
Algebra Change Linear Units	544	(2)
Hands On Capacity	546	(2)
Hands On Mass	548	(2)
Problem Solving Strategy: Draw a Diagram	550	(2)
Relate Benchmark Measurements	552	(6)
Extra Practice	554	(1)
Review/Test	555	(1)
Standardized Test Prep	556	(2)
Understand Decimals	558	(24)
Check What You Know	559	(1)
Relate Fractions and Decimals	560	(4)
Problem Solving: Thinker's Corner
Decimals to Thousandths	564	(2)
Hands On Equivalent Decimals	566	(2)
Relate Mixed Numbers and Decimals	568	(4)
Problem Solving: Thinker's Corner
Compare and Order Decimals	572	(4)
Problem Solving: Thinker's Corner
Problem Solving Strategy: Use Logical Reasoning	576	(6)
Extra Practice	578	(1)
Review/Test	579	(1)
Standardized Test Prep	580	(2)
Add and Subtract Decimals	582	(28)
Check What You Know	583	(1)
Round Decimals	584	(2)
Estimate Decimal Sums and Differences	586	(2)
Hands On Add Decimals	588	(2)
Hands On Subtract Decimals	590	(2)
Add and Subtract Decimals and Money	592	(4)
Problem Solving: Thinker's Corner
Problem Solving Skill: Evaluate Reasonableness of Answers	596	(6)
Extra Practice	598	(1)
Review/Test	599	(1)
Standardized Test Prep	600	(2)
Unit Wrapup
It's in the Bag: Two-Faced Views	602	(1)
Challenge: Change Quantities	603	(1)
Study Guide and Review	604	(2)
Performance Assessment	606	(1)
Technology Linkup: Calculator • Fractions and Decimals	607	(1)
Problem Solving On Location in New York	608	(2)
UNIT 9 Perimeter, Area, and Volume
Perimeter of Plane Figures	610	(16)
Check What You Know	611	(1)
Hands On Explore Perimeter	612	(2)
Hands On Estimate and Find Perimeter	614	(4)
Problem Solving: Linkup to Architecture
Hands On Circumference	618	(2)
Problem Solving Skill: Use a Formula	620	(6)
Extra Practice	622	(1)
Review/Test	623	(1)
Standardized Test Prep	624	(2)
Area of Plane Figures	626	(16)
Check What You Know	627	(1)
Hands On Estimate Area	628	(2)
Find Area	630	(4)
Problem Solving: Thinker's Corner
Hands On Relate Area and Perimeter	634	(2)
Problem Solving Strategy: Find a Pattern	636	(6)
Extra Practice	638	(1)
Review/Test	639	(1)
Standardized Test Prep	640	(2)
Solid Figures and Volume	642
Check What You Know	643	(1)
Hands On Faces, Edges, and Vertices	644	(4)
Problem Solving: Thinker's Corner
Hands On Patterns for Solid Figures	648	(2)
Hands On Estimate and Find Volume of Prisms	650	(4)
Problem Solving: Linkup to Science
Problem Solving Skill: Too Much/ Too Little Information	654	(6)
Extra Practice	656	(1)
Review/Test	657	(1)
Standardized Test Prep	658	(2)
Unit Wrapup
It's in the Bag: Matchbook Solid Figures	660	(1)
Challenge: Explore Surface Area of Prisms	661	(1)
Study Guide and Review	662	(2)
Performance Assessment	664	(1)
Technology Linkup: Find Perimeter and Area of Rectangles	665	(1)
Problem Solving On Location in Alabama	666
Table of Contents	1	(1)
Troubleshooting	2	(30)
Sharpen Your Test-Taking Skills	32	(4)
Basic Facts Tests	36	(6)
Table of Measures	42	(1)
Glossary	43	(14)
Index	57