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Cover Art for Merrill Integrated Mathematics : Course 2
Other versions by this Author 		Merrill Integrated Mathematics : Course 2
Edition: Teacher's
Author(s): Unknown
ISBN10:  0028249070
ISBN13:  9780028249070
Format:  Hardcover
Pub. Date:  1/1/1995
Publisher(s): Glencoe/Macmillan McGraw Hill

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Table of Contents
Working with Logic
Conjunctions and Disjunctions
2(4)
Conditionals and Bi-Conditionals
6(4)
Beginning to Reach Conclusions
10(3)
The Law of Detachment
13(4)
The Law of the Contrapositive
17(3)
The Law of Syllogism
20(4)
The De Morgan Laws
24(6)
Quantifiers
30(3)
Negating Quantified Statements
33(11)
Problem Solving Application: Eliminating Possibilities
36(2)
Chapter Summary
38(2)
Chapter Review
40(2)
Chapter Test
42(2)
Mathematical Systems
Clock Arithmetic
44(4)
Multiplication in a Clock System
48(4)
Subtraction and Division
52(4)
Operations
56(5)
Identities and Inverses
61(4)
The Group
65(3)
Infinite Groups
68(3)
Some Theorems About Groups
71(5)
A Non-Commutative Group
76(10)
Problem Solving Application: Guess and Check
79(2)
Chapter Summary
81(2)
Chapter Review
83(1)
Chapter Test
84(2)
A System with Two Operations
Introduction
86(2)
The Distributive Law
88(4)
A Field
92(4)
Finite Fields
96(5)
Some Field Theorems
101(3)
An Important Field Theorem
104(3)
Subtraction and Division
107(4)
Ordering the Rationals
111(11)
Problem Solving Application: Identifying Subgoals
115(2)
Chapter Summary
117(1)
Chapter Review
118(2)
Chapter Test
120(2)
Introduction to Euclidean Geometry
Undefined Terms and Defined Terms
122(3)
Axioms About Lines, Planes, and Segments
125(3)
Axioms About Angles
128(4)
Properties of Real Numbers
132(3)
Theorems About Angles
135(4)
Right Angles and Perpendicular Lines
139(4)
Parallel Lines and Angles
143(4)
Parallel Lines and Interior Angles
147(4)
Indirect Proof
151(3)
Angles of a Triangle
154(3)
Angles of a Polygon
157(11)
Problem Solving Application: Using Equations
160(2)
Chapter Summary
162(3)
Chapter Review
165(1)
Chapter Test
166(2)
Congruent Triangles
Introduction
168(3)
Some Congruence Axioms
171(4)
Proving Corresponding Parts Congruent
175(5)
The AAS Congruence Theorem
180(4)
Triangles That Overlap
184(5)
Isosceles Triangles, Special Segments
189(3)
Proving Right Triangles Congruent
192(3)
Inequalities
195(4)
Another Triangle Inequality
199(9)
Problem Solving Application: Using Figures
201(2)
Chapter Summary
203(1)
Chapter Review
204(2)
Chapter Test
206(2)
Applications of Congruent Triangles
All About Parallelograms
208(4)
When is a Quadrilateral a Parallelogram?
212(6)
Rectangles and Rhombuses
218(4)
Trapezoids
222(4)
Some Constructions
226(5)
More Constructions
231(4)
Another Triangle Relationship
235(9)
Problem Solving Application: Indirect Reasoning
238(2)
Chapter Summary
240(1)
Chapter Review
241(1)
Chapter Test
242(2)
Similarity
Ratio and Proportion
244(4)
Some Properties of Proportions
248(4)
Similar Triangles
252(4)
Proportions and Triangles
256(5)
Right Triangles and Similarity
261(4)
The Pythagorean Theorem
265(4)
Special Right Triangles
269(3)
More Constructions
272(3)
Relations
275(3)
Equivalence Relations
278(10)
Problem Solving Application: Perimeter and Area
281(2)
Chapter Summary
283(2)
Chapter Review
285(1)
Chapter Test
286(2)
Geometry with Coordinates
Naming Points in a Plane
288(3)
Graphing Linear Equations
291(3)
Algebraic Solutions
294(4)
Distance Between Two Points
298(4)
The Midpoint Formula
302(4)
Slope
306(4)
Parallel and Perpendicular Lines
310(4)
Equations of Lines
314(5)
Area Using Coordinates
319(11)
Problem solving Application: Graphs and Estimation
324(2)
Chapter Summary
326(1)
Chapter Review
327(1)
Chapter Test
328(2)
Using Coordinates
Using Coordinates to Prove Theorems
330(5)
More Coordinate Proofs
335(4)
Locus
339(3)
Locus, Coordinates, and Circles
342(5)
Some Locus Problems
347(4)
A Special Locus: Parabola
351(4)
Coordinates in Space
355(9)
Problem Solving Application: Using Inverse Variation
358(2)
Chapter Summary
360(1)
Chapter Review
361(1)
Chapter Test
362(2)
Solving Quadratic Equations
Multiplying and Factoring Polynomials
364(5)
Solving Quadratics by Factoring
369(4)
Graphing y = ax2 + bx + c
373(4)
Solving Quadratic Equations by Graphing
377(4)
Completing the Square
381(4)
The Quadratic Formula
385(4)
Problem Solving with Quadratic Equations
389(5)
Systems of Equations
394(4)
Simplifying Rational Expressions
398(2)
Multiplying and Dividing Rational Expressions
400(3)
Adding and Subtracting Rational Expressions
403(9)
Chapter Summary
407(1)
Chapter Review
408(2)
Chapter Test
410(2)
Probability and Combinatorics
Introduction
412(4)
``Or'' Statements
416(3)
Applications of the Counting Principle
419(5)
Permutations
424(3)
nPr
427(4)
Permutations with Repetitions
431(3)
Picking a Committee
434(3)
nCr
437(4)
Applications
441(13)
Problem Solving Application: List Possibilities
447(2)
Chapter Summary
449(1)
Chapter Review
450(2)
Chapter Test
452(2)
Transformation Geometry
Mappings
454(4)
Line Reflections
458(4)
Line Symmetry
462(3)
Line Reflections in the Coordinate Plane
465(4)
Translations
469(4)
Rotations
473(3)
Half-Turns or Point Reflections
476(4)
Composing Transformations
480(4)
A Mathematical System
484(4)
Dilations
488(10)
Chapter Summary
491(3)
Chapter Review
494(2)
Chapter Review
496(2)
Introduction to Trigonometry
The Right Triangle
498(3)
The Tangent Ratio
501(4)
Using the Tangent Ratio
505(6)
The Sine and Cosine Ratios
511(6)
The Unit Circle
517
Problem Solving Application: Using Right Triangles
521(2)
Chapter Summary
523(1)
Chapter Review
524(2)
Chapter Test
526
Technology Activities and Extended Projects A1

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