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This course is offered exclusively as a one-on-one class and is not available in a small-group format.
Syllabus
Syllabus
1 What's in a Name
1.1 Why Names and Symbols?
1.2 Points Lines and Planes
1.3 Round and Round
1.4 Construction: Copy a Segment
1.5 The Burden of Proof
1.6 Summary
2 Angles
2.1 What is an Angle?
2.2 Measuring Angles
2.3 Straight and Vertical Angles
2.4 Parallel Lines
2.5 Angles in a Triangle
2.6 Exterior Angles
2.7 Paralle! Lines Revisited
2.8 Summary
3 Congruent Triangles
3.1 Introduction
3.2 SSS Congruence
3.3 SAS Congruence
3.4 ASA and AAS Congruence
3.5 SSA Not-Necessarily Congruence
3.6 Isosceles and Equilateral Triangles
3.7 Construction: Equilateral Trangle and Perpendicular Bisector
3.8 Summary
4 Perimeter and Area
4.1 Perimeter
4.2 Area
4.3 Same Base/Same Altitude
4.4 Summary
5 Similar Triangles
5.1 What is Similarity?
5.2 AA Similarity
5.3 SAS Similanity
5.4 SSS Similarity
5.5 Using Similarity in Problems
5.6 Constructlon: Angles and Parallels
5.7 Summary
6 Right Triangles
6.1 Pythagorean Theorem
6.2 Two Special Right Triangles
6.3 Pythagorean Triples
6.4 Congruence and Similarity Revisited
6.5 Heron's Formula
6.6 Construction: Perpendicular Lines
6.7 Summary
7 Special Parts of a Triangle
7.1 Bisectors
7.2 Perpendicular Bisectors of a Triangle
7.3 Angle Bisectors of a Triangle
7.4 Medians
7.5 Altitudes
7.6 Challenging Problems
7.7 Construction: Bisectors
7.8 Summary
8 Quadrilaterals
8.1 Quadrilateral Basics
8.2 Trapezoids
8.3 Parallelograms
8.4 Rhombl
8.5 Rectangies
8.6 Squares
8.7 lf and Only if
8.8 Quadrilateral Problems
8.9 Summary
9 Polygons
9.1 introduction to Polygons
9.2 Angles in a Polygon
9.3 Polygon Area
9.4 Polygon Problems
9.5 Construction: Regular Polygons
9.6 Summary
10 Geometric inequalities
10.1 Sides and Angles of a Triangle
10.2 Pythagoras - Not Just For Right Triangles?
10.3 The riangle tnequality
10.4 Summary
11 Circles
11.1 Arc Measure, Arc Length, and Circumference
11.2 Area
11.3 Funky Aress
11.4 Summary
12 Circles and Angles
12.1 Inscribed Angles
12.2 Angles inside and Outside Circles
12.3 Tangents
12.4 Problems
12.5 Construction; Tangents
12.6 Summary
13 Power of a Point
13.1 What is Power of a Point?
13.2 Power of a Paint Problems
13.3 Summary
14 Three-Dimensional Geometry
14.1 Planes
14.2 Prisms
14.3 Pyramids
14.4 Regular Polyhedra
14.5 Summary
15 Curved Surfaces
15.1 Cylinders
15.2 Cones
15.3 Spheres
15.4 Problems
15.5 Summary
16 The More Things Change
16.1 Transiations
16.2 Rotations
16.3 Reflections
16.4 Dilation
16.5 Changing the Question
16.6 Construction: Transformations
16.7 Summary
17 Analytic Geometry
17.1 Lines
17.2 Circles
17.3 Basic Analytic Ceometry Problems
17.4 Proofs with Analytic Geometry
17.5 Distance Between a Point and a Line
17.6 Advanced Analytic Geometry Problems
17.7 Summary
18 Introduction to Trigonometry
18.1 Trigonometry and Right Triangles
18.2 Not Just For Right Triangles
18.3 Law of Sines and Law of Cosines
18.4 Summary
19 Problem Solving Strategies in Geometry
19.1 The Extra Line
19.2 Assigning Variables
19.3 Proofs
19.4 Summary
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