Big Ideas Math Geometry, 2014
Chapter 1
Basics of Geometry
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- Maintaining Mathematical Proficiency p.1
- Mathematical Practices p.2
- Points, Lines, and Planes p.3-10
- Measuring and Constructing Segments p.11-18
- Using Midpoint and Distance Formulas p.19-26
- What Did You Learn? p.27-55
- Quiz p.28
- Perimeter and Area in the Coordinate Plane p.29-36
- Measuring and Constructing Angles p.37-46
- Describing Pairs of Angles p.47-54
- Chapter Review p.56-58
- Chapter Test p.59
- Cumulative Assessment p.60-61
Chapter 2
Reasoning and Proofs
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- Maintaining Mathematical Proficiency p.63
- Mathematical Practices p.64
- Conditional Statements p.65-74
- Inductive and Deductive Reasoning p.75-82
- Postulates and Diagrams p.83-88
- What Did You Learn? p.89-115
- Quiz p.90
- Algebraic Reasoning p.91-98
- Proving Statements about Segments and Angles p.99-104
- Proving Geometric Relationships p.105-114
- Chapter Review p.116-118
- Chapter Test p.119
- Cumulative Assessment p.120-121
Chapter 3
Parallel and Perpendicular Lines
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- Maintaining Mathematical Proficiency p.123
- Mathematical Practices p.124
- Pairs of Lines and Angles p.125-130
- Parallel Lines and Transversals p.131-136
- Proofs with Parallel Lines p.137-144
- What Did You Learn? p.145-163
- Quiz p.146
- Proofs with Perpendicular Lines p.147-154
- Equations of Parallel and Perpendicular Lines p.155-162
- Chapter Review p.164-166
- Chapter Test p.167
- Cumulative Assessment p.168-169
Chapter 4
Transformations
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- Maintaining Mathematical Proficiency p.171
- Mathematical Practices p.172
- Translations p.173-180
- Reflections p.181-188
- Rotations p.189-196
- What Did You Learn? p.197-221
- Quiz p.198
- Congruence and Transformations p.199-206
- Dilations p.207-214
- Similarity and Transformations p.215-220
- Chapter Review p.222-224
- Chapter Test p.225
- Cumulative Assessment p.226-227
Chapter 5
Congruent Triangles
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- Maintaining Mathematical Proficiency p.229
- Mathematical Practices p.230
- Angles of Triangles p.231-238
- Congruent Polygons p.239-244
- Proving Triangle Congruence by SAS p.245-250
- Equilateral and Isosceles Triangles p.251-258
- What Did You Learn? p.259-289
- Quiz p.260
- Proving Triangle Congruence by SSS p.261-268
- Proving Triangle Congruence by ASA and AAS p.269-276
- Using Congruent Triangles p.277-282
- Coordinate Proofs p.283-288
- Chapter Review p.290-294
- Chapter Test p.295
- Cumulative Assessment p.296-297
Chapter 6
Relationships Within Triangles
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- Maintaining Mathematical Proficiency p.299
- Mathematical Practices p.300
- Perpendicular and Angle Bisectors p.301-308
- Bisectors of Triangles p.309-318
- Medians and Altitudes of Triangles p.319-326
- What Did You Learn? p.327-349
- Quiz p.328
- The Triangle Midsegment Theorem p.329-334
- Indirect Proof and Inequalities in One Triangle p.335-342
- Inequalities in Two Triangles p.343-348
- Chapter Review p.350-352
- Chapter Test p.353
- Cumulative Assessment p.354-355
Chapter 7
Quadrilaterals and Other Polygons
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- Maintaining Mathematical Proficiency p.357
- Mathematical Practices p.358
- Angles of Polygons p.359-366
- Properties of Parallelograms p.367-374
- Proving That a Quadrilateral Is a Parallelogram p.375-384
- What Did You Learn? p.385-407
- Quiz p.386
- Properties of Special Parallelograms p.387-396
- Properties of Trapezoids and Kites p.397-406
- Chapter Review p.408-410
- Chapter Test p.411
- Cumulative Assessment p.412-413
Chapter 8
Similarity
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- Maintaining Mathematical Proficiency p.415
- Mathematical Practices p.416
- Similar Polygons p.417-426
- Proving Triangle Similarity by AA p.427-432
- What Did You Learn? p.433-453
- Quiz p.434
- Proving Triangle Similarity by SSS and SAS p.435-444
- Proportionality Theorems p.445-452
- Chapter Review p.454-456
- Chapter Test p.457
- Cumulative Assessment p.458-459
Chapter 9
Right Triangles and Trigonometry
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- Maintaining Mathematical Proficiency p.461
- Mathematical Practices arrow_forward
- The Pythagorean Theorem p.463-470
- Special Right Triangles p.471-476
- Similar Right Triangles p.477-484
- What Did You Learn? p.485-517
- Quiz p.486
- The Tangent Ratio p.487-492
- The Sine and Cosine Ratios p.493-500
- Solving Right Triangles p.501-506
- Law of Sines and Law of Cosines p.507-516
- Chapter Review p.518-522
- Chapter Test p.523
- Cumulative Assessment p.524-525
Chapter 10
Circles
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- Maintaining Mathematical Proficiency p.527
- Mathematical Practices p.528
- Lines and Segments That Intersect Circles p.529-536
- Finding Arc Measures p.537-544
- Using Chords p.545-550
- What Did You Learn? p.551-581
- Quiz p.552
- Inscribed Angles and Polygons p.553-560
- Angle Relationships in Circles p.561-652
- Segment Relationships in Circles p.569-574
- Circles in the Coordinate Plane p.575-580
- Chapter Review p.582-586
- Chapter Test p.587
- Cumulative Assessment p.588-589
Chapter 11
Circumference, Area, and Volume
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- Maintaining Mathematical Proficiency p.591
- Mathematical Practices p.592
- Circumference and Arc Length p.593-600
- Areas of Circles and Sectors p.601-608
- Areas of Polygons p.609-616
- Three-Dimensional Figures p.617-622
- What Did You Learn? p.623-655
- Quiz p.624
- Volumes of Prisms and Cylinders p.625-634
- Volumes of Pyramids p.635-640
- Surface Areas and Volumes of Cones p.641-646
- Surface Areas and Volumes of Spheres p.647-654
- Chapter Review p.656-660
- Chapter Test p.661
- Cumulative Assessment p.662-663
Chapter 12
Probability
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- Maintaining Mathematical Proficiency p.665
- Monitoring Progress p.666
- Sample Spaces and Probability p.667-674
- Independent and Dependent Events p.675-682
- Two-Way Tables and Probability p.683-690
- What Did You Learn? p.691-713
- Quiz p.692
- Probability of Disjoint and Overlapping Events p.693-698
- Permutations and Combinations p.699-706
- Binomial Distribution p.707-712
- Chapter Review p.714-716
- Chapter Test p.717
- Cumulative Assessment p.718-719
Chapter
Additional Topic
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- Focus of a Parabola p.721-728