UCSMP Algebra, 1996,9780673457653

UCSMP Algebra, 1996

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ISBN13: 9780673457653
ISBN10: 0673457656
Format: Hardcover
Pub. Date: 1996-12-01
Publisher(s): Pearson Prentice Hall
List Price: $72.25

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Table of Contents

Acknowledgments ii
The University of Chicago School Mathematics Project iv
Table of Contents
vi
To the Student 1(3)
Uses of Variables
4(66)
Variables in Sentences
6(5)
Sets and Domains
11(6)
Operations with Sets
17(6)
Variables in Expressions
23(4)
Variables in Formulas
27(4)
Square Roots and Variables
31(6)
Variables and Patterns
37(8)
In-class Activity: Patterns with Squares and Right Triangles
44(1)
The Pythagorean Theorem
45(8)
In-class Activity: Variables and Tables
52(1)
Variables from Tables
53(17)
Projects
60(2)
Summary and Vocabulary
62(1)
Progress Self-Test
63(2)
Chapter Review
65(4)
Refresher
69(1)
Multiplication in Algebra
70(70)
Areas, Arrays, and Volumes
72(7)
Special Numbers in Multiplication
79(6)
In-class Activity: Multiplying Algebraic Fractions
84(1)
Multiplying Algebraic Fractions
85(6)
Multiplying Rates
91(5)
Products and Powers with Negative Numbers
96(6)
Solving ax = b
102(7)
Special Numbers in Equations
109(5)
Solving ax<b
114(5)
The Multiplication Counting Principle
119(6)
Factorials and Permutations
125(15)
Projects
131(2)
Summary and Vocabulary
133(1)
Progress Self-Test
134(2)
Chapter Review
136(3)
Refresher
139(1)
Addition in Algebra
140(74)
Models and Properties of Addition
142(7)
More Properties of Addition
149(6)
The Coordinate Plane
155(8)
Two Dimensional Slides
163(7)
Solving ax + b = c
170(7)
In-class Activity: Using Algebra Tiles to Add Expressions
176(1)
The Distributive Property and Adding Like Terms
177(6)
The Distributive Property and Removing Parentheses
183(5)
Writing Linear Expressions
188(7)
Adding Algebraic Fractions
195(5)
Solving ax + b < c
200(14)
Projects
205(2)
Summary and Vocabulary
207(1)
Progress Self-Test
208(2)
Chapter Review
210(3)
Refresher
213(1)
Subtraction in Algebra
214(68)
Subtraction of Real Numbers
216(5)
Models for Subtraction
221(6)
Solving Sentences Involving Subtraction
227(5)
Spreadsheets
232(8)
The Opposite of a Sum or Difference
240(6)
Graphing x + y = k and x - y = k
246(7)
Sums and Differences in Geometry
253(7)
In-class Activity: The Triangle Inequality
259(1)
The Triangle Inequality
260(7)
Graphing Linear Patterns
267(15)
Projects
274(2)
Summary and Vocabulary
276(1)
Progress Self-Test
277(1)
Chapter Review
278(4)
Linear Sentences
282(66)
Horizontal and Vertical Lines
284(7)
Using Tables to Compare Linear Expressions
291(6)
Solving ax + b = cx + d
297(7)
Using Graphs to Compare Linear Expressions
304(6)
Using an Automatic Grapher
310(7)
Solving ax + b < cx + d
317(5)
Equivalent Formulas
322(5)
Advanced Solving Technique I: Multiplying Through
327(6)
Advanced Solving Technique II: Chunking
333(15)
Projects
338(2)
Summary and Vocabulary
340(1)
Progress Self-Test
341(2)
Chapter Review
343(4)
Refresher
347(1)
Division in Algebra
348(68)
The Algebraic Definition of Division
350(6)
Rates
356(6)
Ratios
362(8)
In-class Activity: Relative Frequencies and Probabilities
368(2)
Relative Frequency and Probability
370(6)
Solving Percent Problems Using Equations
376(5)
Probability Without Counting
381(6)
Size Changes
387(7)
Proportions
394(8)
In-class Activity: Similar Figures
401(1)
Similar Figures
402(14)
Projects
408(2)
Summary and Vocabulary
410(1)
Progress Self-Test
411(1)
Chapter Review
412(4)
Slopes and Lines
416(68)
Rates of Change
418(7)
The Slope of a Line
425(7)
Properties of Slope
432(7)
Slope-Intercept Equations for Lines
439(6)
Equations for Lines with a Given Point and Slope
445(5)
Equations for Lines Through Two Points
450(8)
In-class Activity: Latitude and Temperature
456(2)
Fitting a Line to Data
458(5)
Equations for All Lines
463(6)
Graphing Linear Inequalities
469(15)
Projects
476(2)
Summary and Vocabulary
478(1)
Progress Self-Test
479(1)
Chapter Review
480(4)
Exponents and Powers
484(62)
Compound Interest
486(6)
Exponential Growth
492(6)
Comparing Constant Increase and Exponential Growth
498(7)
Exponential Decay
505(5)
Products and Powers of Powers
510(5)
Negative Exponents
515(6)
Quotients of Powers
521(6)
Powers of Products and Quotients
527(6)
Remembering Properties of Exponents and Powers
533(13)
Projects
539(2)
Summary and Vocabulary
541(1)
Progress Self-Test
542(1)
Chapter Review
543(3)
Quadratic Equations and Square Roots
546(68)
Graphing y = ax2
548(6)
Graphing y= ax2 + bx + c
554(8)
In-class Activity: Graphing Parabolas with an Automatic Grapher
561(1)
Graphing Parabolas with an Automatic Grapher
562(5)
Quadratic Equations and Projectiles
567(6)
The Quadratic Formula
573(6)
Analyzing Solutions to Quadratic Equations
579(7)
Square Roots and Products
586(7)
Absolute Value, Distance, and Square Roots
593(6)
Distances in the Plane
599(15)
Projects
605(2)
Summary and Vocabulary
607(2)
Progress Self-Test
609(1)
Chapter Review
610(4)
Polynomials
614(50)
What Are Polynomials?
616(5)
Investments and Polynomials
621(6)
Multiplying a Polynomial by a Monomial
627(6)
Multiplying Polynomials
633(6)
In-class Activity: Modeling Multiplication of Binomials with Tiles
638(1)
Multiplying Binomials
639(7)
Special Binomial Products
646(5)
The Chi-Square Statistic
651(13)
Projects
657(2)
Summary and Vocabulary
659(1)
Progress Self-Test
660(1)
Chapter Review
661(3)
Linear Systems
664(54)
An Introduction to Systems
666(6)
Solving Systems Using Substitution
672(4)
More Uses of Substitution
676(5)
Solving Systems by Addition
681(6)
Solving Systems by Multiplication
687(7)
Systems and Parallel Lines
694(5)
Situations Which Always or Never Happen
699(5)
Systems of Inequalities
704(14)
Projects
711(2)
Summary and Vocabulary
713(1)
Progress Self-Test
714(1)
Chapter Review
715(3)
Factoring
718(54)
Factoring Integers into Primes
720(6)
Common Monomial Factoring
726(7)
In-class Activity: Factoring Trinomials
732(1)
Factoring x2 + bx + c
733(5)
Solving Some Quadratic Equations by Factoring
738(6)
Factoring ax2 + bx + c
744(5)
How Was the Quadratic Formula Found?
749(5)
Rational Numbers and Irrational Numbers
754(5)
Which Quadratic Expressions Are Factorable?
759(13)
Projects
765(2)
Summary and Vocabulary
767(1)
Progress Self-Test
768(1)
Chapter Review
769(3)
Functions
772(52)
What Is a Function?
774(4)
Function Notation
778(6)
Absolute Value Functions
784(5)
Domain and Range
789(6)
In-class Activity: Results of Tossing Two Dice
794(1)
Probability Functions
795(5)
Polynomial Functions
800(7)
In-class Activity: Ratios of Sides in Right Triangles
806(1)
The Tangent Function
807(5)
Functions on Calculators and Computers
812(12)
Projects
817(2)
Summary and Vocabulary
819(1)
Progress Self-Test
820(1)
Chapter Review
821(3)
Appendix A: Scientific Calculators 824(5)
Appendix B: Scientific Notation 829(5)
Appendix C: BASIC 834(4)
Selected Answers 838(28)
Glossary 866(8)
Index 874(11)
List of Symbols 885(1)
Photo Acknowledgments 886

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