Thursday, October 30, 2014

Glencoe Mathematics Geometry Interactive Student Edition






Glencoe Mathematics Geometry Interactive Student Edition
Buku ini pertama kali diterbitkan oleh Glencoe McGraw-Hill Tahun 2005.


Judul:  Glencoe Mathematics Geometry Interactive Student Edition
Oleh:  Cindy J. Boyd, et al
Penerbit:  Glencoe McGraw-Hill Companies, Inc
Tahun: 2004
Jumlah Halaman: 908  hal.

Penulis:
Cindy J. Boyd
Mathematics Teacher
Albilene High School,  Abilene, Texas
Carol Malloy
Associate Professor, Math Education
The University of North  Carolina at Chapel Hill
Chapel Hill, North Carolina
Jerry Cummins
Past President
National Council of Supervisors of Mathematics (NCSM)
Western Springs, Illinois
John Carter
Director of Mathematics
Adlai E. Stevenson High School
Lincolnshire, Illinois
Alfinio Flores, Ph.D.
Professor Arizona State University
Tempe, Arizona

Lingkup Pembahasan:

Buku ini terdiri atas 4 Unit Utama. Masing-masing Unit terdiri atas beberapa Bab. Setiap Bab dibahas secara rinci menjadi pokok bahasan.  Unit 1 Garis  dan Angles. Unit ini mencakup  Bab 1 tentang  Poin, Lines, Pesawat, dan Angles ,  Bab 2 Penalaran dan Bukti, dan Bab 3 Paralel dan Garis tegak lurus.
Unit 2  Segitiga mencakup Bab 4 Segitiga kongruen, Bab 5 Hubungan di Segitiga, Bab 6 Proporsi dan kesamaan, dan  Bab 7 Kanan Segitiga dan Trigonometri.  Unit 3 Segiempat dan Lingkaran meliputi pembahasan Bab 8 Segiempat,  Bab 9 Transformasi, dan  Bab 10 Lingkaran.  Unit 4  Satuan Luas dan Volume, meliputi  Bab 11 Area di Poligon dan Lingkaran,  Bab 12 Luas Permukaan, dan  Bab 13 Volume.

Daftar Isi:
Unit 1   Lines and Angles  2
Chapter 1 Points, Lines, Planes, and Angles  4

    1-1   Points, Lines, and Planes   6
    1-2   Linear Measure and Precision   13
            Practice Quiz 1: Lessons 1-1 and 1-2  19
            Geometry Activity: Probability and  Segment Measure   20
    1-3   Distance and Midpoints  .21
            Geometry Activity: Modeling the Pythagorean Theorem   28
    1-4   Angle Measure  29
            Practice Quiz 2: Lessons 1-3 and 1-4  36
    1-5   Angle Relationships  37
            Geometry Activity: Constructing Perpendiculars    44
    1-6   Polygons    45
            Geometry Software Investigation: Measuring Polygons   51
            Study Guide and Review   53
            Practice Test   57
            Standardized Test Practice  58

Chapter 2 Reasoning and Proof   60
    2-1   Inductive Reasoning and Conjecture  62
    2-2   Logic    67
    2-3   Conditional Statements   75
             Practice Quiz 1: Lessons 2-1 through 2-3   80
    2-4   Deductive Reasoning   82
            Geometry Activity: Matrix Logic  .88
    2-5   Postulates and Paragraph Proofs   89
    2-6   Algebraic Proof   94
            Practice Quiz 2: Lessons 2-4 through 2-6   100
    2-7   Proving Segment Relationships   101
    2-8   Proving Angle Relationships  .107
            Study Guide and Review  115
            Practice Test  121
            Standardized Test Practice   122
Chapter 3 Parallel and Perpendicular Lines   124
    3-1   Parallel Lines and Transversals.  126
            Geometry Software Investigation: Angles and Parallel Lines  132
    3-2   Angles and Parallel Lines  133
            Practice Quiz 1: Lessons 3-1 and 3-2  138
    3-3   Slopes of Lines   139
    3-4   Equations of Lines   145
            Practice Quiz 2: Lessons 3-3 and 3-4   150
    3-5   Proving Lines Parallel   151
            Graphing Calculator Investigation:  Points of Intersection    158
    3-6   Perpendiculars and Distance   159
            Geometry Activity: Non-Euclidean Geometry   165
            Study Guide and Review   167
            Practice Test    171
            Standardized Test Practice  172

Unit 2  Triangles     174
Chapter 4 Congruent Triangles   176

    4-1  Classifying Triangles   178
            Geometry Activity: Angles of Triangles   184
    4-2   Angles of Triangles   185
    4-3   Congruent Triangles   192
            Practice Quiz 1: Lessons 4-1 through 4-3  198
    4-4   Proving Congruence—SSS, SAS    200
    4-5   Proving Congruence—ASA, AAS   207
            Geometry Activity: Congruence in Right Triangles    214
    4-6   Isosceles Triangles    216
            Practice Quiz 2: Lessons 4-4 through 4-6   221
    4-7   Triangles and Coordinate Proof   222
            Study Guide and Review   227
            Practice Test   231
            Standardized Test Practice  232
Chapter 5 Relationships in Triangles   234
    Geometry Activity: Bisectors, Medians, and Altitudes  236
    5-1   Bisectors, Medians, and Altitudes   238
    5-2   Inequalities and Triangles  .247
            Practice Quiz 1: Lessons 5-1 and 5-2   254
    5-3   Indirect Proof   255
    5-4   The Triangle Inequality   261
            Practice Quiz 2: Lessons 5-3 and 5-4   266
    5-5   Inequalities Involving Two Triangles   267
            Study Guide and Review  274
            Practice Test   277
            Standardized Test Practice  278

Chapter 6 Proportions and Similiarity    280
    6-1   Proportions   282
            Spreadsheet Investigation: Fibonacci Sequence and Ratios   288
    6-2   Similar Polygons   289
    6-3   Similar Triangles   298
             Practice Quiz 1: Lessons 6-1 through 6-3   306
    6-4   Parallel Lines and Proportional Parts    307
    6-5   Parts of Similar Triangles   316
            Practice Quiz 2: Lessons 6-4 and 6-5   323
            Geometry Activity: Sierpinski Triangle  324
    6-6  Fractals and Self-Similarity   325
            Study Guide and Review  332
            Practice Test   337
            Standardized Test Practice  338
Chapter 7 Right Triangles and Trigonometry   340
    7-1  Geometric Mean   342
            Geometry Activity: The Pythagorean Theorem   349
    7-2  The Pythagorean Theorem and Its Converse    350
    7-3  Special Right Triangles   357
            Practice Quiz 1: Lessons 7-1 through 7-3   363
    7-4  Trigonometry    364
    7-5  Angles of Elevation and Depression   371
    7-6  The Law of Sines  377
            Practice Quiz 2: Lessons 7-4 through 7-6   383
            Geometry Software Investigation: The Ambiguous Case of the Law of Sines   384
    7-7  The Law of Cosines   385
            Geometry Activity: Trigonometric Identities  391
            Study Guide and Review  392
            Practice Test  397
            Standardized Test Practice  398

Unit 3 Quadrilaterals and Circles    400
Chapter 8 Quadrilaterals   402

    8-1  Angles of Polygons   404
            Spreadsheet Investigation: Angles of Polygons  410
    8-2   Parallelograms   411
    8-3  Tests for Parallelograms   417
            Practice Quiz 1: Lessons 8-1 through 8-3  423
    8-4  Rectangles  424
    8-5  Rhombi and Squares   431
            Geometry Activity: Kites .438
    8-6  Trapezoids   439
            Practice Quiz 2: Lessons 8-4 through 8-6  445
    8-7  Coordinate Proof with Quadrilaterals  447
            Study Guide and Review  452
            Practice Test   457
            Standardized Test Practice 458
Chapter 9 Transformations    460
    Geometry Activity: Transformations  462
    9-1  Reflections   463
    9-2  Translations   470
    9-3   Rotations  476
            Practice Quiz 1: Lessons 9-1 through 9-3  482
    9-4   Tessellations   483
            Geometry Activity: Tessellations and Transformations   489
    9-5   Dilations  490
            Practice Quiz 2: Lessons 9-4 and 9-5   497
    9-6   Vectors  498
    9-7   Transformations with Matrices  506
            Study Guide and Review  512
            Practice Test  517
            Standardized Test Practice  518
Chapter 10 Circles    520
    10-1   Circles and Circumference  522
    10-2   Angles and Arcs  .529
    10-3   Arcs and Chords  536
               Practice Quiz 1: Lessons 10-1 through 10-3   543
    10-4   Inscribed Angles   544
    10-5   Tangents.   552
              Geometry Activity: Inscribed and Circumscribed Triangles  559
    10-6   Secants, Tangents, and Angle Measures   561
               Practice Quiz 2: Lessons 10-4 through 10-6   568
    10-7   Special Segments in a Circle  .569
    10-8   Equations of Circles   575
              Study Guide and Review  581
              Practice Test   587
              Standardized Test Practice 588

Unit 4 Area and Volume  590
Chapter 11 Areas of Polygons and Circles   592

    11-1   Areas of Parallelograms   595
    11-2   Areas of Triangles, Trapezoids, and Rhombi   601
              Practice Quiz 1: Lessons 11-1 and 11-2  609
    11-3   Areas of Regular Polygons and Circles   610
    11-4   Areas of Irregular Figures   617
              Practice Quiz 2: Lessons 11-3 and 11-4   621
    11-5   Geometric Probability  .622
              Study Guide and Review   628
              Practice Test   631
              Standardized Test Practice   632
Chapter 12 Surface Area   634
    12-1  Three-Dimensional Figures  .636
    12-2  Nets and Surface Area  643
    12-3  Surface Areas of Prisms   649
    12-4  Surface Areas of Cylinders   655
              Practice Quiz 1: Lessons 12-1 through 12-4  .659
    12-5  Surface Areas of Pyramids  660
    12-6  Surface Areas of Cones   666
              Practice Quiz 2: Lessons 12-5 and 12-6   670
    12-7  Surface Areas of Spheres  671
              Geometry Activity: Locus and Spheres   677
              Study Guide and Review   678
              Practice Test   683
              Standardized Test Practice .68
Chapter 13 Volume    686
    13-1  Volumes of Prisms and Cylinders   688
              Spreadsheet Investigation: Prisms  .695
    13-2  Volumes of Pyramids and Cones  696
              Practice Quiz 1: Lessons 13-1 and 13-2   701
    13-3  Volumes of Spheres  702
    13-4  Congruent and Similar Solids   707
              Practice Quiz 2: Lessons 13-3 and 13-4  713
    13-5  Coordinates in Space  714
              Study Guide and Review  720
              Practice Test   723
              Standardized Test Practice  724
Student Handbook
Skills

    Prerequisite Skills  728
    Extra Practice   754
    Mixed Problem Solving and Proof  782
Reference
Postulates, Theorems, and Corollaries .R1
English-Spanish Glossary  R9
Selected Answers   R29
Photo Credits   R77
Index  R79


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