Progress in Mathematics 2000, Grade 6

by McDonnell, Rose A.; Le Tourneau, Catherine D.; Burrows, Anne V.; Ford, Elinor R.

• ISBN13: 9780821526064
• ISBN10: 0821526065
• Format: Hardcover
• Copyright: 2000-01-01
• Publisher: William H Sadlier

Table of Contents

Letter to the Student	xi
Introduction to Skills Update	xii
Skills Update
Numeration
Place Value	1	(1)
Comparing and Ordering	2	(1)
Rounding Whole Numbers	3	(1)
Factors and Multiples	4	(1)
Divisibility: 2, 5, 10	5	(1)
Decimals to Hundredths	6	(1)
Operations
Adding Whole Numbers	7	(1)
Subtracting Whole Numbers	8	(1)
Adding Decimals to Hundredths	9	(1)
Subtracting Decimals to Hundredths	10	(1)
Multiplying Whole Numbers: One Digit	11	(1)
Multiplying Whole Numbers: Two Digits	12	(1)
Trial Quotients	13	(1)
Dividing Whole Numbers	14	(1)
Fractions
Adding Fractions: Like Denominators	15	(1)
Subtracting Fractions: Like Denominators	16	(1)
Statistics and Graphs
Understanding Graphs	17	(1)
Making Pictographs	18	(1)
Making Bar Graphs	19	(1)
Geometry
Geometric Figures	20	(1)
Lines: Intersecting and Parallel	21	(1)
Polygons	22	(1)
Measurement
Metric Units of Length	23	(1)
Metric Units of Capacity	24	(1)
Metric Units of Mass	25	(1)
Customary Units of Length	26	(1)
Customary Units: Capacity and Weight	27	(1)
Perimeter and Area Formulas	28	(1)
Technology
Key Sequences	29	(1)
Introduction to Problem Solving
Problem-Solving Model	30	(2)
Problem-Solving Strategy: Guess and Test	32	(1)
Problem-Solving Strategy: Hidden Information	33	(1)
Problem-Solving Strategy: Two-Step Problem	34	(1)
Problem-Solving Strategy: Write a Number Sentence	35	(1)
Problem-Solving Applications	36	(2)
Numeration, Addition, and Subtraction
Chapter Opener	37	(1)
How Much Is a Trillion?	38	(2)
Expanded Form	40	(2)
Rounding to Greatest Place	42	(2)
Properties of Addition	44	(2)
Estimating Sums and Differences	46	(2)
Adding Larger Numbers	48	(2)
Zeros in Subtraction	50	(2)
Inverse Operations	52	(2)
Technology: STORE and RECALL Keys	54	(2)
Problem-Solving Strategy: Missing/Extra Information	56	(2)
Problem-Solving Applications	58	(6)
Chapter Review and Practice	60	(1)
Math Probe: Roman Numerals	61	(1)
Check Your Mastery	62	(1)
Multiplication and Division
Chapter Opener	63	(1)
Properties of Multiplication	64	(2)
Special Patterns	66	(2)
Estimating and Finding Products	68	(2)
Zeros in Multiplication	70	(2)
Exponents	72	(2)
Short Division and Divisibility	74	(2)
Estimating Quotients	76	(2)
Zeros in Division	78	(2)
Finding Quotients	80	(2)
Order of Operations	82	(2)
Technology: Use the Calculator Key yx	84	(2)
Problem-Solving Strategy: Interpret the Remainder	86	(2)
Problem-Solving Applications	88	(6)
Chapter Review and Practice	90	(1)
Math Probe: Napier's Bones	91	(1)
Check Your Mastery	92	(1)
Decimals: Addition and Subtraction
Chapter Opener	93	(1)
Decimals	94	(2)
Decimals and Expanded Form	96	(2)
Rounding Decimals	98	(2)
Compare and Order Decimals	100	(2)
Estimating Decimal Sums and Differences	102	(2)
Adding Decimals	104	(2)
More Adding Decimals	106	(2)
Subtracting Decimals	108	(2)
More Subtracting Decimals	110	(2)
Problem-Solving Strategy: Use Simpler Numbers	112	(2)
Problem-Solving Applications	114	(8)
Chapter Review and Practice	116	(1)
Math Probe: Logic: Open and Closed Statements	117	(1)
Check Your Mastery	118	(1)
Cumulative Review 1	119	(1)
Ongoing Assessment 1	120	(1)
Decimals: Multiplication and Division
Chapter Opener	121	(1)
Multiplying Decimals by 10, 100, and 1000	122	(2)
Estimating Decimal Products	124	(2)
Multiplying Decimals by Whole Numbers	126	(2)
Multiplying Decimals by Decimals	128	(2)
More Multiplying Decimals	130	(2)
Dividing Decimals by 10, 100, and 1000	132	(2)
Patterning with Tenths, Hundredths, Thousandths	134	(2)
Estimating Quotients	136	(2)
Dividing Decimals by Whole Numbers	138	(2)
Dividing by a Decimal	140	(2)
Decimal Divisors	142	(2)
Zeros in Division	144	(2)
Rounding Quotients	146	(2)
Working with Decimals	148	(2)
Scientific Notation	150	(2)
Technology: The Calculator and Scientific Notation	152	(2)
Problem-Solving Strategy: Multi-Step Problem	154	(2)
Problem-Solving Applications	156	(6)
Chapter Review and Practice	158	(1)
Math Probe: Patterns: Sequences	159	(1)
Check Your Mastery	160	(1)
Number Theory and Fractions
Chapter Opener	161	(1)
Fractions	162	(2)
Finding Equivalent Fractions	164	(2)
Prime and Composite Numbers	166	(2)
Prime Factorization	168	(2)
Greatest Common Factor	170	(2)
Fractions in Simplest Form	172	(2)
Mixed Numbers and Improper Fractions	174	(2)
Fraction Sense	176	(2)
Least Common Multiple	178	(2)
Comparing Fractions	180	(2)
Ordering Fractions	182	(2)
Fractions, Mixed Numbers, Decimals	184	(2)
Fractions: Renaming as Decimals	186	(2)
Decimals as Fractions and Mixed Numbers	188	(2)
Terminating and Repeating Decimals	190	(2)
Problem-Solving Strategy: Find a Pattern	192	(2)
Problem-Solving Applications	194	(8)
Chapter Review and Practice	196	(1)
Math Probe: The Sieve of Eratosthenes	197	(1)
Check Your Mastery	198	(1)
Cumulative Review II	199	(1)
Ongoing Assessment II	200	(1)
Fractions: Addition and Subtraction
Chapter Opener	201	(1)
Addition Properties: Fractions	202	(2)
Estimating Sums and Differences	204	(2)
Adding Fractions	206	(2)
Adding Mixed Numbers	208	(2)
Subtracting Fractions	210	(2)
Subtracting Mixed Numbers	212	(2)
Properties and Mixed Numbers	214	(2)
Technology: Computing Fractions and Decimals	216	(2)
Problem-Solving Strategy: Working Backwards	218	(2)
Problem-Solving Applications	220	(6)
Chapter Review and Practice	222	(1)
Math Probe: Logic: Statements and Negations	223	(1)
Check Your Mastery	224	(1)
Fractions: Multiplication and Division
Chapter Opener	225	(1)
Multiplying Fractions by Fractions	226	(2)
Multiplying Fractions and Whole Numbers	228	(2)
Properties and the Reciprocal	230	(2)
Multiplying Mixed Numbers	232	(2)
Meaning of Division	234	(2)
Dividing Fractions by Fractions	236	(2)
Estimation in Division	238	(2)
Dividing Whole Numbers	240	(2)
Dividing a Mixed Number	242	(2)
Order of Operations Using Fractions	244	(2)
Fractions with Money	246	(2)
Problem-Solving Strategy: Use a Diagram	248	(2)
Problem-Solving Applications	250	(8)
Chapter Review and Practice	252	(1)
Math Probe: Complex Fractions	253	(1)
Check Your Mastery	254	(1)
Cumulative Test 1	255	(2)
Statistics and Probability
Chapter Opener	257	(1)
Graphing Sense	258	(2)
Surveys	260	(2)
Collecting Data	262	(2)
Range, Mean, Median, and Mode	264	(2)
Stem-and-Leaf Plot	266	(2)
Working with Graphs and Statistics	268	(2)
Making Line Graphs	270	(2)
Analyzing Line Graphs	272	(2)
Double Line and Double Bar Graphs	274	(2)
Interpreting Circle Graphs	276	(2)
Probability	278	(2)
Compound Events	280	(2)
Predictions	282	(2)
Misleading Graphs and Statistics	284	(2)
Technology: Computer Graphing	286	(2)
Problem-Solving Strategy: Organized List	288	(2)
Problem-Solving Applications	290	(6)
Chapter Review and Practice	292	(1)
Math Probe: Triple Line and Bar Graphs	293	(1)
Check Your Mastery	294	(1)
Geometry
Chapter Opener	295	(1)
Congruent Segments and Angles	296	(2)
Constructing Perpendicular Lines	298	(2)
Measuring and Drawing Angles	300	(2)
Classifying Angles	302	(2)
Constructions with Angles	304	(2)
Polygons	306	(2)
Classifying Triangles	308	(2)
Classifying Quadrilaterals	310	(2)
Circles	312	(2)
Classifying Space Figures	314	(2)
Congruent and Similar Polygons	316	(2)
Transformations	318	(2)
Tessellations	320	(2)
Problem-Solving Strategy: Logic/Analogies	322	(2)
Problem-Solving Applications	324	(8)
Chapter Review and Practice	326	(1)
Math Probe: Symmetry	327	(1)
Check Your Mastery	328	(1)
Cumulative Review III	329	(1)
Ongoing Assessment III	330	(1)
Measurement
Chapter Opener	331	(1)
Measurement Sense: Decimal-Metric Connection	332	(2)
Measuring Metric Length	334	(2)
Measuring Metric Capacity and Mass	336	(2)
Renaming Metric Units	338	(2)
Relating Metric Units	340	(2)
Measuring Customary Length	342	(2)
Measuring Capacity and Weight	344	(2)
Computing Customary Units	346	(2)
Using Perimeter	348	(2)
Area of Rectangles and Squares	350	(2)
Discovering Perimeter and Area	352	(2)
Area of Triangles and Parallelograms	354	(2)
Surface Area	356	(2)
Circumference	358	(2)
Area of a Circle	360	(2)
Volume of a Prism	362	(2)
Computing with Time	364	(2)
Technology: Calculating Measures	366	(2)
Problem-Solving Strategy: Use Drawings/Formulas	368	(2)
Problem-Solving Applications	370	(6)
Chapter Review and Practice	372	(1)
Math Probe: Logic: Conjunctions and Disjunctions	373	(1)
Check Your Mastery	374	(1)
Ratio, Proportion, and Percent
Chapter Opener	375	(1)
Ratio	376	(2)
Equal Ratios	378	(2)
Rates	380	(2)
Proportions	382	(2)
Solving Proportions	384	(2)
Writing Proportions	386	(2)
Using Proportions	388	(2)
Scale Drawings and Maps	390	(2)
Percent as Ratio	392	(2)
Relating Percents to Fractions	394	(2)
Relating Percents to Decimals	396	(2)
Decimals, Fractions, and Percents	398	(2)
Percents Greater Than 100%	400	(2)
Problem-Solving Strategy: Combining Strategies	402	(2)
Problem-Solving Applications	404	(8)
Chapter Review and Practice	406	(1)
Math Probe: Percents Less Than 1%	407	(1)
Check Your Mastery	408	(1)
Cumulative Review IV	409	(1)
Ongoing Assessment IV	410	(1)
Percent Applications
Chapter Opener	411	(1)
Mental Math: Percent	412	(2)
Percent Sense	414	(2)
Finding a Percent of a Number	416	(2)
Missing Percent	418	(2)
Using Percent to Solve Problems	420	(2)
Finding Discount and Sale Price	422	(2)
Finding Sales Tax and Total Cost	424	(2)
Better Buy	426	(2)
Finding Commission	428	(2)
Making Circle Graphs	430	(2)
Technology: Electronic Spreadsheets	432	(2)
Problem-Solving Strategy: Write an Equation	434	(2)
Problem-Solving Applications	436	(6)
Chapter Review and Practice	438	(1)
Math Probe: Installment Plan Buying	439	(1)
Check Your Mastery	440	(1)
Integers and Coordinate Graphing
Chapter Opener	441	(1)
Integers	442	(2)
Comparing and Ordering Integers	444	(2)
Addition Model for Integers	446	(2)
Another Addition Model	448	(2)
Adding Integers	450	(2)
Subtracting Integers	452	(2)
Temperature	454	(2)
Ordered Pairs of Numbers	456	(2)
Graphing Ordered Pairs of Numbers	458	(2)
Graphing Ordered Pairs of Integers	460	(2)
Graphing Transformations	462	(2)
Problem-Solving Strategy: Make a Table	464	(2)
Problem-Solving Applications	466	(8)
Chapter Review and Practice	468	(1)
Math Probe: Analyzing Sets of Data	469	(1)
Check Your Mastery	470	(1)
Cumulative Test II	471	(2)
Moving On: Algebra
Chapter Opener	473	(1)
Algebraic Expressions	474	(2)
Equations	476	(2)
Solving Equations: Guess and Test	478	(2)
Solving Equations: Add and Subtract	480	(2)
Solving Equations: Multiply and Divide	482	(2)
Evaluating Formulas	484	(2)
Evaluating Volume Formulas	486	(2)
Multiplying Integers	488	(2)
Dividing Integers	490	(2)
Equations with Integers	492	(2)
Function Tables	494	(2)
Rational Numbers: Number Line	496	(2)
Compare/Order Rational Numbers	498	(2)
Problem-Solving Strategy: More Than One Solution	500	(2)
Problem-Solving Applications	502	(5)
Chapter Review and Practice	504	(1)
Math Probe: Graphing Equations and Inequalities	505	(1)
Check Your Mastery	506	(1)
End-of-Book Materials
Still More Practice	507	(12)
Brain Builders	519	(4)
Mental Math	523	(9)
Glossary	532	(6)
Index	538	(9)
Symbols and Formulas	547	(1)
Table of Measures	548