Download Geometry Syllabus

Geometry Syllabus - Mr. Thomas
Chapter 1 Basic of Geometry
1.1
Points, Lines and Planes p8/3-5,8-17,21,23,24,27,31,33,34, 46,47,49 55b,59
1.2
Measuring and Constructing Segments p16/3,4,10,13,16,19,25,26(a,b),27(a,d),28(a,b),29(c)
Quiz
1.3
Using Midpoint and Distance Formulas p24/3,4,7,10,1517,19,20,26,30,32,34,37(b),39(a,b)
1.4
Perimeter & Area in the Coordinate Plane p34/3,5,11,14,22,27,29(a,b),30(a,b),33(a,b,c),35(a,b,c)
Quiz
1.5
Measuring and Constructing Angles p43/3,6,7,9-11,17,19-21,23-25,27,29,33,35,37,40,42,43,47(a,b),54(a),56
1.6
Describing Pairs of Angles p52/3-7,9,11,13,14,17-19,21,22,24,25,27,29-34,36-39,41,45(a),46(a-g),47
Chapter 1 Review/Test
Chapter 2 Reasoning and Proof
2.1
Conditional Statements p71/3,6,7,9,12,13,15,17,20,24-28,55,
2.2
Inductive and Deductive Reasoning p80/4,8-11,13,15-17,19-21,23,24,31-34, 37,44(a,b)
Quiz
2.3
Postulates and Diagrams p87/3,4,9-11,13-20,23,31
2.4
Algebraic Reasoning p96/4,5,10,12,15,16,18,25-28,30-40,45-47,56
Quiz
2.5
Proving Statements about Segments and Angles p103/3-10,13,14,15,16, 17,23
2.6
Proving Geometric Relationships p111/3,4,6,7,10,11,14,17,19,20,21,22,29,30(a)
Chapter 2 Review/Test
Chapter 3 Parallel and Perpendicular Lines
3.1
Pairs of Lines and Angles p129/3-8,15-20,21(a,b,c),23,25,28
3.2
Parallel Lines and Transversals p135/3-13,14(a),15,17,18(a,b,c),22-24
Quiz
3.3
Proofs with Parallel Lines p142/3-8,13-18,21,22,27,28,30,34-36,40(a,b)
3.4
Proofs with Perpendicular Lines p152/3,4,12,16-21,25,26,27,30
Quiz
3.5
Equations of Parallel and Perp. Lines p160/7-10,13-23,27,28,33,34,41(a,b,c)
Chapter 3 Review/Test
Chapter 5 Congruent Triangles
5.1
Angles of Triangles p236/3-5,7,10,12,13,15,18,20,21,23,26, 28,29-32,38,41,42,44,47,49,52
5.2
Congruent Polygons p243/3,5-8,10,12-15,17,18,21,23,24
Quiz
5.3
Proving Triangle Congruence by SAS p249/3-6,9-21,25,26,29
5.4
Equilateral and Isosceles Triangles p256/3-8,10,11,13-16,22, 23,26,29,30,34(a,b),35(a)
Quiz
5.5
Proving Triangle Congruence by SSS p266/3-8,10,13-16,23(a,b),24a,26,31,36
5.6
Proving Triangle Congruence by ASA and AAS p274/3-10,16,17,19,20,24-26,29(a,b),30
Quiz
5.7
Using Congruent Triangles p281/3-12,17,18(a-b),19,23
5.8
Coordinate Proofs p287/3-5,7-11,15,16,18,19,22,23,26
Chapter 5 Review/Test
Chapter 6 Relationships Within Triangles
6.1
Perpendicular and Angle Bisectors p306/3-8,10-20,26(a,b),29-31,34a,38a
6.2
Bisectors of Triangles p315/3-8,11,12,14,15,16,27-32,35,36,38,41(a,b),45,46
Quiz
6.3
Medians and Altitudes of Triangles p324/ 3,4,6-8,10-12,14-16,19,20,28,29,31-37,39,40(a,b),41,42,45,48(a-c)
6.4
The Triangle Midsegment Theorem p333/ 3,4,7,8,10,11,14,15,17,18,20,21,25(a-c)
Quiz
6.5
Indirect Proof and Inequalities in One Triangle p340/ 3-5, 7,8,11,12,14,15,17,18, 21,24,25-30,35(a),37,38,40,41,45,48
6.6
Inequalities in Two Triangles p347/ 3,4,6-8,10-12,14-17,20-22,25,26,28
Chapter 6 Review/Test
Chapter 7
Quadrilaterals and Other Polygons
7.1
Angles of Polygons p364/4,6,8,9,12,14,17,20,22,24,26,28, 30,34,37-39,41,45,50,52
7.2
Properties of Parallelograms p372/4,6,8,10,12,14,16,18,20, 23-25,28,31,32,34, 39,40,42(a,b,c),43
Quiz
7.3
Proving That a Quadrilateral is a Parallelogram p381/3-8,10, 11,13,15,18,23,24,33(a-d),35,36,40,41,43,48
7.4
Properties of Special Parallelograms p393/4,6,8,10,12,13,15, 20,21,24,26,29,33,38,40,51,53,56,62,65,68,69,70,76,79,87
Quiz
7.5
Properties of Trapezoids and Kitesp403/4,8,9,12,13,16,17,20-24,26-31,33,36,44,46
Chapter 7 Review/Test
Chapter 8 Similarity
8.1
Similar Polygons p424/3,6-15,17-21,24,26,27,28-34,38,39,42,43, 46,49,51,56
8.2
Proving Triangle Similarity by AA p431/3,4,6-8,10-12,14,17, 19-21,23,24,28
Quiz
8.3
Proving Triangle Similarity by SSS and SAS p441/3-6,8,9,13, 14,15,17-21,24,28-31(a,b),36
8.4
Proportionality Theorems p450/3-6,8,13,14,17-20,22,23,25,26,29(a,b,c),30,33,34,44
Chapter 8 Review/Test
Chapter 9 Right Triangles and Trigonometry
9.1
The Pythagorean Theorem p468/3,6,8,9,11-14,16-18,21,22, 24,26,29-32,37,42
9.2
Special Right Triangles p475/3-11,13-18,20(a,b),22
Quiz
9.3
Similar Right Triangles p482/4,6-8,10,12,13,14,19-22,24, 25,29,32,33,38
9.4
The Tangent Ratio p491/4,5,8,9,11,13-16,18,21,25(a)
Quiz
9.5
The Sine and Cosine Ratios p498/4-6,9,10,13,14,17,18,20, 21,23-25,27,28,29(a,b), 30(a),31,34(a,b),
9.6
Solving Right Triangles p505/3,4,6,8-10,14,15,18,20,21,23, 24(a),28
Quiz
9.7
Law of Sines and Law of Cosines p513/3,4,6,9.10,13,14,18, 20,21,24,27,28,30,33, 36,37,39,40(a,b,c),42,49
Chapter 9 Review/Test
Chapter 10 Circles
10.1
Lines and Segments that Intersect Circles p534/5-12,16,18-20,23,24,29,32,37,45,46
10.2
Finding Arc Measures p542/3,4,7,8,12,13,16a,b,c,d,18,19,21,24,26,31,36
Quiz
10.3
Using Chords p549/3-10,12,14-16,26-28
10.4
Inscribed Angles and Polygons p558/3-6,10-13,20,21,25-31
Quiz
10.5
Angle Relationships in Circles p566/3,4,6-14,17-20,25,34,39,40
10.6
Segment Relationships in Circles p573/3-17
Quiz
10.7
Circles in the Coordinate Plane p579/4-6,9,10,13,14,19,20,26,30,31
Chapter 10 Review/Test
Chapter 11 Circumference, Area and Volume
11.1 Circumference and Arc Length p.598/3-11,13-16,18,23,24,27, 31,33,34(b-c),36,39
11.2
Areas of Circles and Sectors p.606/5,6,7,9-12,14-16,19,21-24, 26,28,30,31(a,b), 32(a),35(b,c),40
Quiz
11.3
Areas of Polygons p.614/3-6,8-12,15,18,20-24,28,30,31,34, 39.40
11.4
Three-Dimensional Figures p.621/3-14,16-20,28(a-c)
Quiz
11.5
Surface Areas and Volumes of Prisms and Cylinders p.631/3-8,10-14,17,20,22-31,33, 36,37(a,b),40
11.6
Surface Areas and Volumes of Pyramids p.639/3-5,7,11,14-17, 19,20,21(a,b),23
Quiz
11.7
Surface Areas and Volumes of Cones p.645/3,4,7,8,10-16, 18(a,b),21
11.8
Surface Areas and Volumes of Spheres p.652/4-7,10-12,14,15,17-20,23,24,26,28,30, 31,33,35,36(a,b),37(a-c),39(a-c),
Chapter 11 Review/Test
Constructions
Segments, Angles, parallel lines, perpendicular lines, segment bisector, angle bisector, midpoints, etc. - HANDOUTS
Chapter 4 Transformations
4.1
Translations
4.2
Reflections
Quiz
4.3
Rotations
4.4
Congruence and Transformations
Quiz
4.5
Dilations
4.6
Similarity and Transformations
Chapter 4 Review/Test