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
Berminat?
Email: zanetapm@gmail.com
0 comments:
Post a Comment