California Geometry Concepts, Skills, and Problem Solving Interactive Students Editions
Buku ini diterbitkan pertama kali Tahun 2008 Oleh Glencoe, McGraw-Hill Company.
Judul: California Geometry Concepts, Skills, and Problem Solving Interactive Students Editions
Oleh: Cindy J. Boyd, et al
Penerbit: Glencoe, MCGraw-Hill Company
Tahun: 2008
Jumlah Halaman: 1017 hal.
Pengarang:
Cindy J. Boyd
Mathematics Teacher Abilene High School
Abilene, Texas
Jerry Cummins
Former President
National Council of Supervisors of Mathematics
Western Springs, Illinois
Carol E. Malloy, Ph.D.
Associate Professor
University of North Carolina at Chapel Hill
Chapel Hill, North Carolina
John A. Carter, Ph.D.
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. Setiap unit didukung oleh Bab, dan setiap Bab dibahas secara rinci melalui topic-topik. Di samping itu setiap Bab selalu dilengkapi dengan aktivitas, soal latihan, dan asesmen.
Unit 1 Struktur Geometri, meliputi 1) Alat Geometry, 2) Penalaran dan Bukti, dan 3) Paralel dan Garis tegak lurus. Unit 2 Kongruensi , mencakup 4) kongruen Segitiga, 5) Hubungan di Segitiga, dan 6) Segiempat. Unit 3 Kesamaan, meliputi 7) Proporsi dan Similarity, 8) Segitiga Kanan dan Trigonometri,
dan 9) Transformasi. Unit 4 Pengukuran Dua dan Tiga-Dimensi, mencakup 10) Lingkaran, 11) Area di Poligon dan Lingkaran, 12) Memperluas Luas Permukaan, dan 13) Memperluas Volume.
Daftar Isi:
Unit 1 Geometric Structure
Chapter 1 Tools of Geometry
1-1 Points, Lines, and Planes 6
Reading Math: Describing What You See 12
1-2 Linear Measure and Precision 13
1-3 Distance and Midpoints 21
Extend 1-3 Geometry Lab: Modeling the Pythagorean Theorem 30
1-4 Angle Measure 31
Mid-Chapter Quiz 39
1-5 Angle Relationships 40
Extend 1-5 Geometry Lab: Constructing Perpendiculars 48
1-6 Two-Dimensional Figures 49
Extend 1-6 Geometry Software Lab: Measuring Two-Dimensional Figures 58
1-7 Three-Dimensional Figures 60
Extend 1-7 Geometry Lab: Orthographic Drawings and Nets 67
ASSESSMENT
Study Guide and Review 68
Practice Test 73
California Standards Practice 74
Chapter 2 Reasoning and Proof
2-1 Inductive Reasoning and Conjecture 78
2-2 Logic 83
2-3 Conditional Statements 91
Reading Math: Biconditional Statements 98
2-4 Deductive Reasoning 99
2-5 Postulates and Paragraph Proofs 105
Mid-Chapter Quiz 110
2-6 Algebraic Proof 111
2-7 Proving Segment Relationships 118
2-8 Proving Angle Relationships 124
ASSESSMENT
Study Guide and Review . 132
Practice Test 137
California Standards Practice 138
Chapter 3 Parallel and Perpendicular Lines
3-1 Parallel Lines and Transversals 142
Explore 3-2 Geometry Software Lab: Angles and Parallel Lines 148
3-2 Angles and Parallel Lines . 149
Explore 3-3 Graphing Calculator Lab: Slope 155
3-3 Slopes of Lines 156
Mid-Chapter Quiz . 164
3-4 Equations of Lines 165
Extend 3-4 Geometry Lab: Equations of Perpendicular Bisectors 171
3-5 Proving Lines Parallel 172
Explore 3-6 Graphing Calculator Lab: Points of Intersection 180
3-6 Perpendiculars and Distance 181
Extend 3-5 Geometry Lab: Non-Euclidean Geometry 188
Reading Math: Necessary and Sufficient Conditions 190
ASSESSMENT
Study Guide and Review 191
Practice Test 195
California Standards Practice 196
Unit 2 Congruence
Chapter 4 Congruent Triangles
4-1 Classifying Triangles 202
Explore 4-2 Geometry Lab: Angles of Triangles 209
4-2 Angles of Triangles 210
4-3 Congruent Triangles 217
Reading Math: Making Concept Maps 224
4-4 Proving Congruence—SSS, SAS 225
Mid-Chapter Quiz 233
4-5 Proving Congruence—ASA, AAS 234
Extend 4-5 Geometry Lab: Congruence in Right Triangles 242
4-6 Isosceles Triangles 244
4-7 Triangles and Coordinate Proof 251
ASSESSMENT
Study Guide and Review 256
Practice Test 261
California Standards Practice 262
Chapter 5 Relationships in Triangles
Explore 5-1 Geometry Lab: Bisectors, Medians, and Altitudes of Triangles 266
5-1 Bisectors, Medians, and Altitudes 269
Reading Math: Writing Explanations 279
5-2 Inequalities and Triangles 280
5-3 Indirect Proof 288
Mid-Chapter Quiz 294
Explore 5-4 Graphing Calculator Lab: The Triangle Inequality 295
5-4 The Triangle Inequality 296
5-5 Inequalities Involving Two Triangles 302
ASSESSMENT
Study Guide and Review 310
Practice Test 313
California Standards Practice 314
Chapter 6 Quadrilaterals
6-1 Angles of Polygons 318
Extend 6-1 Spreadsheet Lab: Angles of Polygons 324
6-2 Parallelograms 325
Reading Math: Hierarchy of Polygons 331
Explore 6-3 Graphing Calculator Lab: Parallelograms 332
6-3 Tests for Parallelograms 333
6-4 Rectangles 340
Mid-Chapter Quiz 347
6-5 Rhombi and Squares 348
Extend 6-5 Geometry Lab: Kites 355
6-6 Trapezoids 356
6-7 Coordinate Proof and Quadrilaterals 363
ASSESSMENT
Study Guide and Review 369
Practice Test 373
California Standards Practice 374
Unit 3 Similarity
Chapter 7 Proportions and Similarity
7-1 Proportions 380
Extend 7-1 Graphing Calculator Lab: Fibonacci Sequence and Ratios 387
7-2 Similar Polygons 388
7-3 Similar Triangles 397
Mid-Chapter Quiz 404
7-4 Parallel Lines and Proportional Parts 405
7-5 Parts of Similar Triangles . 415
Extend 7-5 Geometry Lab: Sierpinski Triangle 423
ASSESSMENT
Study Guide and Review 424
Practice Test 427
California Standards Practice 428
Chapter 8 Right Triangles and Trigonometry
8-1 Geometric Mean 432
Explore 8-2 Geometry Lab: The Pythagorean Theorem 439
8-2 The Pythagorean Theorem and Its Converse 440
Explore 8-3 Geometry Lab: Patterns in Special Right Triangles 447
8-3 Special Right Triangles 448
Explore 8-4 Graphing Calculator Lab: Trigonometry 455
8-4 Trigonometry 456
Mid-Chapter Quiz 463
8-5 Angles of Elevation and Depression 464
8-6 The Law of Sines 471
Extend 8-6 Geometry Software Lab: The Ambiguous Case of the Law of Sines 478
8-7 The Law of Cosines 479
ASSESSMENT
Study Guide and Review 486
Practice Test 491
California Standards Practice 492
Chapter 9 Transformations
Geometry Lab: Transformations 496
9-1 Reflections 497
9-2 Translations . 504
9-3 Rotations 510
Mid-Chapter Quiz 518
9-4 Tessellations 519
9-5 Dilations 525
9-6 Reading Math: Scalars and Vectors 533
9-6 Vectors 534
Extend 9-6 Graphing Calculator Lab: Using Vectors 542
ASSESSMENT
Study Guide and Review 543
Practice Test 547
California Standards Practice 548
Unit 4 Two- and Three-Dimensional Measurement
Chapter 10 Circles
10-1 Circles and Circumference 554
Reading Math: Everyday Expressions Containing Math Words 562
10-2 Measuring Angles and Arcs 563
10-3 Arcs and Chords 570
10-4 Inscribed Angles . 578
Mid-Chapter Quiz 587
10-5 Tangents 588
Extend 10-5 Geometry Lab: Inscribed and Circumscribed Triangles 597
10-6 Secants, Tangents, and Angle Measures 599
10-7 Special Segments in a Circle 607
10-8 Equations of Circles 614
ASSESSMENT
Study Guide and Review 620
Practice Test 625
California Standards Practice 626
Chapter 11 Areas of Polygons and Circles
11-1 Areas of Parallelograms 630
Explore 11-2 Graphing Calculator Lab: Investigating Area 637
11-2 Areas of Triangles, Trapezoids, and Rhombi . 638
Explore 11-3 Geometry Lab: Investigating Areas of Regular Polygons 648
11-3 Areas of Regular Polygons and Circles 649
Mid-Chapter Quiz 657
11-4 Areas of Composite Figures 658
Reading Math: Prefixes 664
11-5 Geometric Probability and Areas of Sectors 665
ASSESSMENT
Study Guide and Review 672
Practice Test 675
California Standards Practice 676
Chapter 12 Extending Surface Area
12-1 Representations of Three-Dimensional Figures . 680
12-2 Surface Areas of Prisms 686
Reading Math: Right Solids and Oblique Solids 692
12-3 Surface Areas of Cylinders 693
Mid-Chapter Quiz 698
12-4 Surface Areas of Pyramids 699
12-5 Surface Areas of Cones 706
12-6 Surface Areas of Spheres 711
Extend 12-6 Geometry Lab: Locus and Spheres 718
ASSESSMENT
Study Guide and Review 719
Practice Test 723
California Standards Practice . 724
Chapter 13 Extending Volume
13-1 Volumes of Prisms and Cylinders 728
Extend 13-1 Spreadsheet Lab: Changing Dimensions 736
13-2 Volumes of Pyramids and Cones 737
13-3 Volumes of Spheres 743
Mid-Chapter Quiz 749
13-4 Congruent and Similar Solids 750
13-5 Coordinates in Space 758
ASSESSMENT
Study Guide and Review . 765
Practice Test 769
California Standards Practice 770
California Standards Review CA1
Standards Review
Stdent Handbook
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