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Full AoPS Geometry Course - 2nd Run!

SAT Score Range

•

20 sessions

•

About

This is the second run of my previously successful and well-received AoPS Geometry series. We'll be using Introduction to Geometry by Richard Rusczyk published by the Art of Problem Solving (AoPS). It's a very dense and challenging textbook that really helps you develop a rock-solid foundation in Geometry.

Tutored by

Dean H 🇺🇸

Certified in 8 topics

View Profile

Hi! I'm Dean, a Texas high school sophomore who joined Schoolhouse as a tutor to fulfill others' academic journeys, allowing people to develop a passion and excel in academics. I love to tutor and help people grow, hence why I joined this platform. I have a passion for both math and history, and my favorite history subject to tutor is AP Human Geography, while my favorite math subject to tutor is geometry. Outside of academics, I love to play the violin, especially in my high school and local youth orchestra. I also love cats, having 3 of my own. Qualifications to Tutor: Math: - Pre-Algebra - Algebra 1 - Geometry - Algebra 2 - AP Precalculus History: - AP Human Geography

Sessions

✋ ATTENDANCE POLICY

Please try to attend every chapter's respective session. It's a very dense course and you'll be missing a lot of information if you do not attend a session. If you do have to be absent, please make sure to message me. I reserve the right to withdraw you if you don't contact me when you're absent.

SESSION 1

6

Jan

SESSION 1

Geometry foundations

Geometry foundations

Tue 2:15 AM - 3:30 AM UTCJan 6, 2:15 AM - 3:30 AM UTC

Chapter 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
SESSION 2

13

Jan

SESSION 2

Angles

Angles

Tue 2:15 AM - 3:35 AM UTCJan 13, 2:15 AM - 3:35 AM UTC

Chapter 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 Parallel Lines Revisited
SESSION 3

20

Jan

SESSION 3

Triangles

Triangles

Tue 2:15 AM - 3:45 AM UTCJan 20, 2:15 AM - 3:45 AM UTC

Chapter 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 Triangle and Perpendicular Bisector
SESSION 4

27

Jan

SESSION 4

Area and perimeter

Area and perimeter

Tue 2:15 AM - 3:30 AM UTCJan 27, 2:15 AM - 3:30 AM UTC

CH 1-3 QUIZ

Chapter 4 – Perimeter and Area
4.1 Perimeter
4.2 Area
4.3 Same Base/Same Altitutde
SESSION 5

3

Feb

SESSION 5

Triangles

Triangles

Tue 2:15 AM - 3:30 AM UTCFeb 3, 2:15 AM - 3:30 AM UTC

Chapter 5 – Similar Triangles
5.1 What is Similarity?
5.2 AA Similarity
5.3 SAS Similarity
5.4 SSS Similarity
5.5 Using Similarity in Problems
5.6 Construction: Angles and Parallels
SESSION 6

10

Feb

SESSION 6

Triangles

Triangles

Tue 2:15 AM - 3:35 AM UTCFeb 10, 2:15 AM - 3:35 AM UTC

Chapter 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
SESSION 7

17

Feb

SESSION 7

Triangles

Triangles

Tue 2:15 AM - 3:45 AM UTCFeb 17, 2:15 AM - 3:45 AM UTC

Ch 4-6 Quiz

Chapter 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
SESSION 8

24

Feb

SESSION 8

Quadrilaterals

Quadrilaterals

Tue 2:15 AM - 3:45 AM UTCFeb 24, 2:15 AM - 3:45 AM UTC

Chapter 8 – Quadrilaterals
8.1 Quadrilateral Basics
8.2 Trapezoids
8.3 Parallelograms
8.4 Rhombi
8.5 Rectangles
8.6 Squares
8.7 If and Only If
8.8 Quadrilateral Problems
SESSION 9

3

Mar

SESSION 9

Other Topics

Other Topics

Tue 2:15 AM - 3:30 AM UTCMar 3, 2:15 AM - 3:30 AM UTC

Chapter 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
SESSION 10

10

Mar

SESSION 10

Triangles

Triangles

Tue 1:15 AM - 2:35 AM UTCMar 10, 1:15 AM - 2:35 AM UTC

Ch 7-9 Quiz

Chapter 10 – Geometric Inequalities
10.1 Sides and Angles of a Triangle
10.2 Pythagoras – Not Just for Right Triangles?
10.3 The Triangle Inequality
SESSION 11

17

Mar

SESSION 11

Review

Review

Tue 1:15 AM - 2:30 AM UTCMar 17, 1:15 AM - 2:30 AM UTC

Mid-Course Review & Quiz
SESSION 12

24

Mar

SESSION 12

Circles

Circles

Tue 1:15 AM - 2:30 AM UTCMar 24, 1:15 AM - 2:30 AM UTC

Chapter 11 – Circles
11.1 Arc Measure, Arc Length, and Circumference
11.2 Area
11.3 Funky Areas

Chapter 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
SESSION 13

31

Mar

SESSION 13

Circles

Circles

Tue 1:15 AM - 2:00 AM UTCMar 31, 1:15 AM - 2:00 AM UTC

Chapter 13 – Power of a Point
13.1 What is Power of a Point?
13.2 Power of a Point Problems
SESSION 14

7

Apr

SESSION 14

Other Topics

Other Topics

Tue 1:15 AM - 2:35 AM UTCApr 7, 1:15 AM - 2:35 AM UTC

Circles (Ch 11-13) Quiz

Chapter 14 – Three-Dimensional Geometry
14.1 Planes
14.2 Prisms
14.3 Pyramids
14.4 Regular Polyhedra
SESSION 15

14

Apr

SESSION 15

Other Topics

Other Topics

Tue 1:15 AM - 2:15 AM UTCApr 14, 1:15 AM - 2:15 AM UTC

Chapter 15 – Curved Surfaces
15.1 Cylinders
15.2 Cones
15.3 Spheres
15.4 Problems
SESSION 16

21

Apr

SESSION 16

Transformation properties and proofs

Transformation properties and proofs

Tue 1:15 AM - 2:35 AM UTCApr 21, 1:15 AM - 2:35 AM UTC

3D Shapes Quiz

Chapter 16 – The More Things Change...
16.1 Translations
16.2 Rotations
16.3 Reflections
16.4 Dilation
16.5 Changing the Question
16.6 Construction: Transformations
SESSION 17

28

Apr

SESSION 17

Analytic geometry

Analytic geometry

Tue 1:15 AM - 2:30 AM UTCApr 28, 1:15 AM - 2:30 AM UTC

Chapter 17 – Analytic Geometry
17.1 Lines
17.2 Circles
17.3 Basic Analytic Geometry Problems
17.4 Proofs with Analytic Geometry
17.5 Distance Between a Point and a Line
17.6 Advanced Analytic Geometry Problems
SESSION 18

5

May

SESSION 18

Right triangles & trigonometry

Right triangles & trigonometry

Tue 1:15 AM - 2:15 AM UTCMay 5, 1:15 AM - 2:15 AM UTC

Ch 16-17 Quiz

Chapter 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
SESSION 19

12

May

SESSION 19

Review

Review

Tue 1:15 AM - 2:15 AM UTCMay 12, 1:15 AM - 2:15 AM UTC

Review
SESSION 20

19

May

SESSION 20

Review

Review

Tue 1:15 AM - 2:15 AM UTCMay 19, 1:15 AM - 2:15 AM UTC

End-of-Course Test

Public Discussion

Please log in to see discussion on this series.

Jan 6 - May 19

19 weeks

45 - 90 mins

/ session

Next session on January 6, 2026

SCHEDULE

Tuesdays

1:15AM