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9780028245669

Integrated Mathematics : Course 1

by ; ; ;
  • ISBN13:

    9780028245669

  • ISBN10:

    0028245660

  • Edition: Student
  • Format: Hardcover
  • Copyright: 1994-06-01
  • Publisher: Glencoe/McGraw-Hill

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Table of Contents

Introduction to Logic
Statements and Sentences
2(3)
Negations
5(3)
Conjunctions
8(4)
Disjunctions
12(4)
The Conditional
16(4)
Tautologies
20(4)
Converse, Inverse, and Contrapositive
24(4)
Biconditionals and Equipment Statements
28(10)
Problem Solving Application: Using Logical Reasoning
31(2)
Chapter Summary
33(1)
Chapter Review
34(2)
Chapter Test
36(2)
Operations and Numbers
Variables
38(3)
Order of Operations
41(2)
The Integers
43(3)
Addition on a Number Line
46(2)
Adding Integers
48(2)
Subtracting Integers
50(2)
Multiplying and Dividing Integers
52(4)
Fractions and Decimals
56(5)
Properties of Real Numbers
61(4)
The Distributive Property
65(9)
Problem Solving Application: Guess and Check
67(2)
Chapter Summary
69(1)
Chapter Review
70(2)
Chapter Test
72(2)
Introduction to Algebra
Using Variables
74(4)
Writing Equations
78(2)
Solving Equations Using Addition
80(4)
Solving Equations Using Multiplication
84(3)
Solving Problems
87(3)
Equations with More Than One Operation
90(3)
More Problem Solving
93(3)
Consecutive Integers
96(2)
Variables on Both Sides of the Equation
98(8)
Chapter Summary
102(1)
Chapter Review
103(1)
Chapter Test
104(2)
Using Formulas and Inequalities
Formulas
106(4)
Solving Formulas For Specific Variables
110(3)
Inequalities
113(3)
Solving Inequalities Using Addition
116(2)
Solving Inequalities Using Multiplication
118(4)
Problem Solving
122(3)
Compound Inequalities
125(4)
Sentences Containing Fractions
129(3)
More Problem Solving
132(8)
Chapter Summary
136(1)
Chapter Review
136(2)
Chapter Test
138(2)
Aspects of Geometry
Points, Lines, and Planes
140(4)
Rays and Angles
144(5)
Special Angles
149(5)
Parallel Lines, Transversals, and Angels
154(4)
Classifying Polygons
158(4)
Angles of a Triangle
162(3)
Quadrilaterals
165(11)
Problem Solving Application: Flow Proofs
168(2)
Chapter Summary
170(2)
Chapter Review
172(2)
Chapter Test
174(2)
Geometric Relationships
Ratio
176(3)
Proportion
179(5)
Percents in Proportions
184(3)
Similar Figures
187(4)
Congruence and SAS
191(3)
The ASA Axiom
194(4)
Constructions
198(8)
Problem Solving Application: Use a Diagram
200(2)
Chapter Summary
202(1)
Chapter Review
203(1)
Chapter Test
204(2)
The Real Numbers
Rational Numbers as Decimals
206(4)
Repeating Decimals for Rational Numbers
210(3)
The Real Numbers
213(3)
Square Roots
216(4)
Approximating Square Roots
220(4)
Simplifying Radicals
224(3)
Adding and Subtracting Radicals
227(3)
The Pythagorean Theorem
230(3)
Dividing Square Roots
233(9)
Problems Solving Application: Look for a Pattern
236(2)
Chapter Summary
238(1)
Chapter Review
239(1)
Chapter Test
240(2)
Measurement and Geometry
Distance in the Metric System
242(4)
Areas of Rectangles and Parallelograms
246(5)
The Area of a Triangle
251(3)
The Area of a Trapezoid
254(3)
Circles and Circumference
257(4)
The Area of a Circle
261(3)
Measuring Volume
264(4)
Solids With Curved Surfaces
268(4)
Metric Units of Mass and Capacity
272(10)
Problem Solving Application: Solve a Simpler Problem
275(2)
Chapter Summary
277(1)
Chapter Review
278(2)
Chapter Test
280(2)
Polynomials
Monomials
282(2)
Multiplying Monomials
284(2)
Powers of Monomials
286(3)
Polynomials
289(2)
Adding and Subtracting Polynomials
291(4)
Multiplying a Polynomial by a Monomial
295(2)
Multiplying Binomials
297(3)
Multiplying Polynomials
300(3)
Dividing Monomials
303(4)
Dividing Polynomials
307(2)
Operations with Rational Expressions
309(11)
Problem Solving Application: Work Backwards
313(2)
Chapter Summary
315(1)
Chapter Review
316(2)
Chapter Test
318(2)
Factoring
Factoring Monomials
320(3)
Factoring Polynomials
323(2)
Factoring the Difference of Squares
325(3)
Factoring Quadratic Polynomials
328(4)
Solving Equations by Factoring
332(5)
Using Factoring in Problem Solving
337(6)
Additional Factoring Techniques
343(7)
Chapter Summary
346(1)
Chapter Review
347(1)
Chapter Test
348(2)
Introduction to Probability
The Probability of an Event
350(3)
Impossibilities and Certainties
353(4)
Adding Probabilities
357(4)
Probability and Sets
361(3)
Outcome Sets
364(4)
The Counting Principle
368(3)
Multiplying Probabilities
371(3)
Permutations
374(10)
Problem Solving Application: List Possibilities
378(2)
Chapter Summary
380(1)
Chapter Review
380(2)
Chapter Test
382(2)
Introduction to Statistics
Statistics and Sampling
384(3)
Averages
387(4)
Statistical Graphs
391(5)
Histograms
396(4)
Cumulative Frequency Histograms
400(4)
Empirical Probability
404(2)
Organizing Experimental Data
406(10)
Problem Solving Application: Using Tables and Charts
410(2)
Chapter Summary
412(1)
Chapter Review
413(1)
Chapter Test
414(2)
Introduction to Coordinate Geometry
Graphing
416(3)
Linear Equations
419(4)
Slope
423(4)
Equation of a Line
427(3)
Systems of Equations
430(4)
Algebraic Solutions
434(4)
Using Systems of Equations to Solve Problems
438(4)
Graphing Linear Inequalities
442(10)
Problem Solving Application: Using Direct Variation
445(3)
Chapter Summary
448(1)
Chapter Review
449(1)
Chapter Test
450(2)
Introduction to Transformation Geometry
Mappings and Functions
452(4)
Line Reflections and Line Symmetry
456(4)
Line Reflections in the Coordinate Plane
460(3)
Translations
463(4)
Rotations
467(5)
Dilations
472
Problem Solving Application: Networks
475(2)
Chapter Summary
477(1)
Chapter Review
478(2)
Chapter Test
480
Manipulative Lab Activities A1-A16(1)
Extended Projects B1-B16

Supplemental Materials

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