New Progress in Mathematics,9780821517079

New Progress in Mathematics

by ; ; ;
Edition: Revised
ISBN13: 9780821517079
ISBN10: 0821517074
Format: Hardcover
Pub. Date: 1996-01-01
Publisher(s): William H Sadlier
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Table of Contents

Introduction: Problem Solving
NPM's Problem-Solving Model vi
Some Problem-Solving Strategies
Substituting Simpler Numbers viii
Working Backwards ix
Make a Table/Find a Pattern x
Writing a Question xi
Using a Frequency Table and Graph xii
Numbers and Numeration
Working with Whole Numbers
2(1)
Place Value
3(1)
Working with Decimals
4(2)
Whole Numbers and Expanded Form
6(1)
Decimals and Expanded Form
7(1)
Comparing Whole Numbers and Decimals
8(1)
Ordering Whole Numbers and Decimals
9(1)
Rounding Whole Numbers
10(2)
Rounding Decimals
12(2)
Technology: Software Tools
14(2)
Problem-Solving Strategy: Guess and Test
16(2)
Problem-Solving Applications
18(6)
More Practice
20(1)
Math Probe: Ancient Numerals
21(1)
Check Your Mastery
22(2)
Addition and Subtraction
Adding Whole Numbers
24(2)
Subtracting Whole Numbers
26(2)
Estimating Sums for Whole Numbers
28(1)
Estimating Differences for Whole Numbers
29(1)
Mental Math Computation: Compensation
30(1)
Adding Decimals
31(1)
Subtracting Decimals
32(2)
Estimating Sums and Differences for Decimals
34(2)
Problem-Solving Strategy: Missing Information
36(2)
Problem-Solving Applications
38(8)
More Practice
40(1)
Math Probe: Short Word Form
41(1)
Check Your Mastery
42(1)
Cumulative Review
43(3)
Multiplication and Division
Multiplying with Multiples of 10, 100, or 1000
46(1)
Estimating Whole-Number Products
47(1)
Multiplying by Two or Three Digits
48(2)
Multiplying Decimals
50(1)
Estimating Decimal Products
51(1)
Dividing with Multiples of 10, 100, or 1000
52(1)
Estimating Whole-Number Quotients
53(1)
One-Digit Divisors and Short Division
54(1)
Two-Digit Divisors
55(1)
Three-Digit Divisors
56(1)
Zero in the Quotient
57(1)
Dividing a Decimal by a Whole Number
58(2)
Multiplying and Dividing by Powers of Ten
60(2)
Dividing by a Decimal
62(2)
Technology: It All Adds Up to Computers
64(2)
Problem-Solving Strategy: Identifying Extra Information
66(2)
Problem-Solving Applications
68(6)
More Practice
70(1)
Math Probe: Be A Mathlete! Use Pattern Power
71(1)
Check Your Mastery
72(2)
Expressions, Equations, and Inequalities
Mathematical Expressions
74(2)
Translating Expressions
76(2)
Equations and Inequalities
78(2)
Properties of Addition and Multiplication
80(1)
Inverse Operations
81(1)
Solving Addition and Subtraction Equations
82(2)
Solving Multiplication and Division Equations
84(2)
Order of Operations
86(2)
Formulas
88(2)
Problem-Solving Strategy: Writing and Using Equations
90(2)
Problem-Solving Applications
92(8)
More Practice
94(1)
Math Probe: Mathematical Systems
95(1)
Check Your Mastery
96(1)
Cumulative Review
97(3)
Integers
Using Integers
100(2)
Comparing and Ordering Integers
102(4)
Adding Integers
106(1)
Subtracting Integers
106(2)
Multiplying Integers
108(2)
Dividing Integers
110(2)
Technology: Computation
112(2)
Problem-Solving Strategy: Working Backwards
114(2)
Problem-Solving Applications
116(6)
More Practice
118(1)
Math Probe: Absolute Value
119(1)
Check Your Mastery
120(2)
Number Theory
Facts About Groups
122(2)
Working with Number Groups
124(2)
Solving Inequalities
126(2)
Exponents: Powers of Ten
128(2)
Expanded Form: Powers of Ten
130(2)
Divisibility
132(2)
Prime and Composite Numbers
134(1)
Prime Factorization
135(1)
Greatest Common Factor
136(2)
Least Common Multiple
138(2)
Scientific Notation
140(2)
Problem-Solving Strategy: Using Tables and Drawings
142(2)
Problem-Solving Applications
144(8)
More Practice
146(1)
Math Probe: Square Root
147(1)
Check Your Mastery
148(1)
Cumulative Review
149(3)
Fractions: Addition, Subtraction
Fractions, Mixed Numbers, Equivalent Fractions
152(2)
Fractions, Simplest Form
154(1)
Changing Improper Fractions to Mixed Numbers
155(1)
Comparing and Ordering Fractions
156(2)
Fraction Sense
158(2)
Adding Fractions
160(2)
Subtracting Fractions
162(2)
Mixed Numbers to Improper Fractions
164(1)
Subtracting Fractions from Whole Numbers
165(1)
Mixed Numbers: Rounding and Estimating
166(1)
Adding Mixed Numbers
167(1)
Subtracting Mixed Numbers
168(2)
Technology: Using Spreadsheets
170(2)
Problem-Solving Strategy: Logical Reasoning
172(2)
Problem-Solving Applications
174(6)
More Practice
176(1)
Math Probe: Mobius Strip
177(1)
Check Your Mastery
178(2)
More Fractions and Decimals
Multiplying Fractions
180(1)
Multiplying Fractions and Whole Numbers
181(1)
Multiplying Mixed Numbers
182(2)
Multiplying Using Cancellation
184(2)
Reciprocals
186(1)
Dividing a Whole Number by a Fraction
187(1)
Dividing a Fraction by a Fraction or a Whole Number
188(1)
Simplifying Complex Fractions
189(1)
Dividing Mixed Numbers
190(2)
Finding Parts of a Number and the Number
192(2)
Changing Fractions and Mixed Numbers to Decimals
194(2)
Terminating and Repeating Decimals
196(2)
Changing Decimals to Fractions and Mixed Numbers
198(2)
Problem-Solving Strategy: Interpreting the Remainder
200(2)
Problem-Solving Applications
202(10)
More Practice
204(1)
Math Probe: Continued Fractions
205(1)
Check Your Mastery
206(1)
Cumulative Review
207(2)
Cumulative Test
209(3)
Measurement
Measuring Length in Metric Units
212(2)
Changing Metric Units
214(2)
Measuring Capacity in Metric Units
216(1)
Measuring Mass in Metric Units
217(1)
Relating Metric Units
218(1)
Precision in Measurement
219(1)
Length: in Customary Units
220(2)
Capacity: in Customary Units
222(1)
Weight: in Customary Units
223(1)
Temperature (°C and °F)
224(2)
Technology: Calculator Key--IN
226(2)
Problem-Solving Strategy: Maps and Charts
228(2)
Problem-Solving Applications
230(6)
More Practice
232(1)
Math Probe: Networks
233(1)
Check Your Mastery
234(2)
Plane Geometry
Geometric Concepts
236(2)
Using a Protractor
238(2)
Constructing a Congruent Segment
240(1)
Constructing a Congruent Angle
241(1)
Bisecting a Segment
242(1)
Bisecting an Angle
243(1)
Constructing Parallel Lines
244(1)
Constructing Perpendicular Lines
245(1)
Line Symmetry
246(1)
Rotational Symmetry
247(1)
Problem-Solving Strategy: Making an Organized List or Chart
248(2)
Problem-Solving Applications
250(8)
More Practice
252(1)
Math Probe: ``Saw'' and ``Ladder'' Angles
253(1)
Check Your Mastery
254(1)
Cumulative Review
255(3)
Polygons and Circles
Classifying Polygons
258(2)
Circles
260(2)
Perimeter
262(2)
Perimeter and a Missing Dimension
264(1)
Congruent Figures
265(1)
Area of a Rectangle and a Square
266(2)
Area of a Parallelogram
268(1)
Area of a Triangle
269(1)
Area of a Trapezoid
270(2)
Solving for Missing Dimensions
272(2)
Circumference of a Circle
274(2)
Area of a Circle
276(2)
Technology: Welcome to BASIC Training
278(2)
Problem-Solving Strategy: Use Simpler Numbers
280(2)
Problem-Solving Applications
282(6)
More Practice
284(1)
Math Probe: Tangrams or Polygonal Puzzles
285(1)
Check Your Mastery
286(2)
Ratio and Proportion
Ratios
288(2)
Equal Ratios
290(2)
Proportions
292(2)
Solving Proportions
294(2)
Scale Drawings
296(2)
Map Distances
298(2)
Similar Figures
300(2)
Using Similar Right Triangles
302(2)
Problem-Solving Strategy: Models
304(2)
Problem-Solving Applications
306(8)
More Practice
308(1)
Math Probe: Proportional Puzzles
309(1)
Check Your Mastery
310(1)
Cumulative Review
311(3)
Percent
Changing Decimals and Fractions to Percents
314(2)
Changing Percents to Decimals and Fractions
316(1)
Changing Percents Greater than 100%
317(1)
Changing More Difficult Decimals and Fractions to Percents
318(1)
Changing More Difficult Percents to Decimals and Fractions
319(1)
Using Percents
320(2)
Finding Percentage
322(2)
Finding the Percent
324(2)
Finding the Original Number
326(2)
Technology: Patterns, Conjectures, and Calculations
328(2)
Problem-Solving Strategy: Hidden Information
330(2)
Problem-Solving Applications
332(6)
More Practice
334(1)
Math Probe: Logic
335(1)
Check Your Mastery
336(2)
Consumer Mathematics
Discount
338(2)
Sales Tax
340(2)
Commission
342(2)
Earning Interest
344(2)
Borrowing Money
346(2)
Comparing Unit Prices
348(2)
Checking Accounts
350(2)
Budgets and Circle Graphs
352(2)
Problem-Solving Strategy: Multi-Step Problems Using Formulas
354(2)
Problem-Solving Applications
356(8)
More Practice
358(1)
Math Probe: Energy Expert
359(1)
Check Your Mastery
360(1)
Cumulative Review
361(3)
Surface Area and Volume
Space Figures
364(2)
Surface Area of a Rectangular Prism and a Cube
366(2)
Surface Area of a Triangular Prism
368(2)
Surface Area of a Cylinder
370(2)
Volume of a Rectangular Prism and a Cube
372(1)
Volume of a Triangular Prism
373(1)
Volume of a Cylinder
374(2)
Technology: Spreadsheets
376(2)
Problem-Solving Strategy: Combining Strategies
378(2)
Problem-Solving Applications
380(6)
More Practice
382(1)
Math Probe: Square Faces
383(1)
Check Your Mastery
384(2)
Probability, Statistics, and Graphing
Identifying Outcomes
386(2)
Finding Probability
388(2)
Probability of Compound Events
390(2)
Counting Principle
392(2)
Graphing Sense
394(2)
Single Bar Graphs
396(1)
Double Bar Graphs
397(1)
Single Line Graphs
398(1)
Double Line Graphs
399(1)
Circle Graphs
400(2)
Central Tendency
402(2)
Graphing Ordered Pairs
404(2)
Graphing Equations
406(2)
Problem-Solving Strategy: Organized List
408(2)
Problem-Solving Applications
410(10)
More Practice
412(1)
Math Probe: Slides and Flips
413(1)
Check Your Mastery
414(1)
Cumulative Review
415(2)
Cumulative Test
417(3)
OPTIONAL: Algebra Readiness
Algebra and Rational Number Topics
Classifying Algebraic Expressions
420(2)
Evaluating Algebraic Expressions
422(2)
Addition and Subtraction of Monomials
424(2)
The Laws of Exponents
426(2)
Addition and Subtraction of Polynomials
428(2)
Multiplying Polynomials
430(2)
Dividing Polynomials by Monomials
432(2)
Addition and Subtraction of Signed Rational Numbers
434(2)
Multiplication and Division of Signed Rational Numbers
436(2)
Problem-Solving Strategy: Using More Than One Equation
438(2)
Problem-Solving Applications
440(7)
More Practice
442(3)
Math Probe: Original Operations
445(1)
Check Your Mastery
446(1)
End of Book Material
Still More Practice
447(18)
Brain Builders
465(6)
Drill and Mental Math
471(14)
Glossary 485(4)
Index 489(6)
Selected Odd-Numbered Answers 495

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