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9780395771228

Mathematical Connections

by ; ; ; ;
  • ISBN13:

    9780395771228

  • ISBN10:

    0395771226

  • Format: Hardcover
  • Copyright: 1995-12-01
  • Publisher: Houghton Mifflin School
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List Price: $94.96

Table of Contents

Table of Symbols
xii
Table of Measures
xiii
Using Technology xiv
Connecting Arithmetic and Algebra
2(44)
Variables and Variable Expressions
4(3)
Addition and Subtraction Expressions
7(4)
Multiplication and Division Expressions
11(4)
Reading for Understanding
15(3)
The Comparison Property
18(4)
Properties of Additions
22(3)
Properties of Multiplication
25(3)
Choosing the Most Efficient Method of Computation
28(2)
Exponents
30(6)
Modeling Powers of Two
34(2)
Order of Operations
36(10)
Other Operations
43(3)
Introduction to Algebra
46(46)
Simplifying Multiplication Expression
48(4)
Modeling Expression Using Tiles
51(1)
The Distributive Property
52(4)
Combining Like Terms
56(3)
Using a Four-Step Plan
59(3)
Patterns
62(4)
Functions
66(5)
Using Spreadsheet Software
70(1)
Checking the Answer
71(3)
Finding an Estimate or an Exact Answer
74(2)
The Metric System of Measurement
76(4)
Scientific Notation
80(12)
Converting Customary Units to Metric Units
84(5)
Other Rules for Exponents
89(3)
Integers
92(48)
Integers on a Number Line
94(4)
Adding Integers with the Same Sign
98(3)
Adding Integers with Different Signs
101(6)
Modeling Integers Using Integer Chips
105(2)
Subtracting Integers
107(4)
Multiplying and Dividing Integers
111(4)
Evaluating Expression Involving Integers
115(4)
Making a Table
119(5)
The Coordinate Plane
124(4)
Graphing Functions
128(12)
Map Reading
132(5)
Closure
137(3)
Equations
140(46)
Equations
142(3)
Guess and Check
145(3)
Using Addition or Subtraction
148(3)
Using Multiplication or Division
151(5)
Modeling Equations Using Tiles
155(1)
Two-Step Equations
156(6)
Writing Variable Expression
162(3)
Writing Equations
165(3)
Using Equations
168(4)
More Equations
172(4)
Formulas
176(10)
Equations Having Variables on Both Sides
183(3)
Graphs and Data Analysis
186(48)
Pictographs
188(4)
Interpreting Bar Graphs
192(4)
Interpreting Line Graphs
196(4)
Drawing Bar and Line Graphs
200(4)
Choosing the Appropriate Type of Graph
204(2)
Too Much or Not Enough Information
206(3)
Misleading Graphs
209(4)
Mean, Median, Mode, and Range
213(5)
Modeling the mean
217(1)
Decision and Making: Choosing the Appropriate Statistic
218(3)
Using Database Software
220(1)
Data Collection and Frequency Tables
221(13)
Using Graphs in Business
224(7)
Using Variables in Statistics
231(3)
Introduction to Geometry
234(54)
Points, Lines, and Planes
236(4)
Measuring and Drawing Angles
240(5)
Constructing and Bisecting Line Segments and Angles
243(2)
Types of Angles
245(4)
Perpendicular and Parallel Lines
249(7)
Constructing Perpendicular and Parallel Lines
254(2)
Polygons
256(5)
Triangles
261(5)
Quadrilaterals
266(5)
Using Geometric Drawing Software
270(1)
Identifying a Pattern
271(4)
Symmetry
275(13)
Tessellations
285(3)
Number Theory and Fraction Concepts
288(50)
Factors and Prime Numbers
290(3)
Greatest Common Factor
293(3)
Least Common Multiple
296(6)
Modeling Fractions using Fraction Bars
300(2)
Equivalent Fractions
302(4)
Simplifying Algebraic Fractions
306(3)
Comparing Fractions
309(4)
Fractions and Decimals
313(4)
Drawing a Diagram
317(4)
Rational Numbers
321(3)
Graphing Open Sentences
324(4)
Negative and Zero Exponents
328(10)
Repeating Decimals as Fractions
335(3)
Rational Numbers
338(48)
Multiplying Rational Numbers
340(4)
Dividing Rational Numbers
344(4)
Determining the Correct Form of an Answer
348(4)
Modeling Fractions Using Fraction Tiles
350(2)
Adding and Subtracting Rational Numbers with Like Denominators
352(4)
Adding and Subtracting Rational Numbers with Unlike Denominators
356(6)
Estimating with Rational Numbers
362(3)
Supplying Missing Facts
365(3)
Equations Involving Rational Numbers
368(3)
Using Reciprocals to Solve Equations
371(4)
Transforming Formulas
375(11)
Using a Stock Price Table
378(5)
Adding and Subtracting More Algebraic Fractions
383(3)
Ratio, Proportion, and Percent
386(48)
Ratio and Rate
388(3)
Proportions
391(4)
Scale Drawings
395(4)
Using Proportions
399(5)
Using a Ten-by-Ten Grid
402(2)
Percent
404(4)
Finding a Percent of a Number
408(4)
Finding the Percent One Number Is of Another
412(3)
Finding a Number When a Percent of It Is Known
415(4)
Percent of Increase or Decrease
419(5)
Percents and Proportions
424(10)
The Compound Interest Formula
431(3)
Circles and Polygons
434(58)
Perimeter
436(4)
Circles and Circumference
440(5)
Area of Polygons
445(7)
Exploring Area Using Tangrams
450(2)
Area of Circles
452(5)
Choosing Perimeter, Circumference, or Area
457(2)
Problems with No Solution
459(3)
Congruent Polygons
462(4)
Similar Polygons
466(5)
Indirect Measurement
471(4)
Square Roots
475(6)
Pythagorean Theorem
481(11)
Simplifying Square Roots
489(3)
Statistics and Circle Graphs
492(46)
Frequency Tables with Intervals
494(3)
Stem-and-Leaf Plots
497(4)
Histograms and Frequency Polygons
501(4)
Box-and-Whisker Plots
505(4)
Scattergrams
509(4)
Interpreting Circle Graphs
513(4)
Constructing Circle Graphs
517(5)
Using Statistical Graphing Software
521(1)
Choosing an Appropriate Data Display
522(2)
Using Logical Reasoning
524(14)
Analyzing Census Data
528(7)
Percentiles
535(3)
Probability
538(42)
Rolling a Number Cube
540(1)
Probability and Odds
541(4)
Sample Spaces and Tree Diagrams
545(3)
The Counting Principle
548(4)
Independent and Dependent Events
552(4)
Using a Venn Diagram
556(3)
Permutations and Combinations
559(5)
Experimental Probability
564(4)
Using BASIC to Simulate an Experiment
567(1)
Using Samples to Make Predictions
568(12)
Using a Table of Random Numbers
572(5)
Expected Value
577(3)
Inequalities and Graphing on the Coordinate Plane
580(46)
Equations with Two Variables
582(3)
Graphing Equations with Two Variables
585(3)
Slope and Intercepts
588(6)
Using Geoboards
592(2)
Systems of Equations
594(5)
Using Function Graphing Software
598(1)
Solving a Simpler Problem
599(3)
Inequalities with One Variable
602(4)
Two-Step Inequalities with One Variable
606(3)
Inequalities with Two Variables
609(4)
Function Rules
613(3)
Function Graphs
616(10)
Graphing Inequalities with One Variable on the Coordinate Plane
623(3)
Surface Area and Volume
626(40)
Space Figures
628(6)
Paper Folding and Cutting
632(2)
Surface Area of Prisms
634(4)
Surface Area of Cylinders
638(4)
Volume of Prisms and Pyramids
642(4)
Volume of Cylinders and Cones
646(4)
Spheres
650(4)
Making a Model
654(12)
Packaging a Consumer Product
658(5)
Volume of Composite Space Figures
663(3)
Polynomials
666(64)
Simplifying Polynomials
668(4)
Modeling Polynomials Using Tiles
671(1)
Adding Polynomials
672(4)
Subtracting Polynomials
676(6)
Modeling Products Using Tiles
680(2)
Multiplying a Polynomial by a Monomial
682(3)
Multiplying Binomials
685(4)
Working Backward
689(4)
Factoring Polynomials
693(3)
Dividing a Polynomial by a Monomial
696(10)
Multiplying Binomials Mentally
703(3)
LOOKING AHEAD
Transformations
Translations and Reflections
706(4)
Rotations and Symmetry
710(3)
Enlargements and Reductions
713(3)
Trigonometry
Sine, Cosine, and Tangent
716(3)
Using Trigonometry
719(4)
Finding Angle Measures
723(3)
Special Right Triangles
726(4)
Extra Practice 730(23)
Toolbox Skills Practice 753(19)
Portfolio Projects 772(6)
Glossary 778(8)
Index 786(8)
Index of Key Topics 794

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