Full AoPS Geometry Course - 2nd Run!

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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

Upcoming

All

✋ 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

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

Chapter 1 - What's in a Name?
1 Why Names and Symbols
2 Points, Lines, and Planes
3 Round and Round
4 Construction: Copy a Segment
5 The Burden of Proof

SESSION 2

13

Jan

SESSION 2

Angles

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

Chapter 2 – Angles
1 What is an Angle?
2 Measuring Angles
3 Straight and Vertical Angles
4 Parallel Lines
5 Angles in a Triangle
6 Exterior Angles
7 Parallel Lines Revisited

SESSION 3

20

Jan

SESSION 3

Triangles

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

Chapter 3 – Congruent Triangles
1 Introduction
2 SSS Congruence
3 SAS Congruence
4 ASA and AAS Congruence
5 SSA Not-Necessarily Congruence
6 Isosceles and Equilateral Triangles
7 Construction: Equilateral Triangle and Perpendicular Bisector

SESSION 4

27

Jan

SESSION 4

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

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

Chapter 5 – Similar Triangles
1 What is Similarity?
2 AA Similarity
3 SAS Similarity
4 SSS Similarity
5 Using Similarity in Problems
6 Construction: Angles and Parallels

SESSION 6

10

Feb

SESSION 6

Triangles

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

Chapter 6 – Right Triangles
1 Pythagorean Theorem
2 Two Special Right Triangles
3 Pythagorean Triples
4 Congruence and Similarity Revisited
5 Heron’s Formula
6 Construction: Perpendicular Lines

SESSION 7

17

Feb

SESSION 7

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
1 Bisectors
2 Perpendicular Bisectors of a Triangle
3 Angle Bisectors of a Triangle
4 Medians
5 Altitudes
6 Challenging Problems
7 Construction: Bisectors

SESSION 8

24

Feb

SESSION 8

Quadrilaterals

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

Chapter 8 – Quadrilaterals
1 Quadrilateral Basics
2 Trapezoids
3 Parallelograms
4 Rhombi
5 Rectangles
6 Squares
7 If and Only If
8 Quadrilateral Problems

SESSION 9

3

Mar

SESSION 9

10

Mar

SESSION 10

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

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

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

Chapter 11 – Circles
1 Arc Measure, Arc Length, and Circumference
2 Area
3 Funky Areas
﻿
Chapter 12 – Circles and Angles
1 Inscribed Angles
2 Angles Inside and Outside Circles
3 Tangents
4 Problems
5 Construction: Tangents

SESSION 13

31

Mar

SESSION 13

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

14

Apr

SESSION 15

21

Apr

SESSION 16

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

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

Chapter 17 – Analytic Geometry
1 Lines
2 Circles
3 Basic Analytic Geometry Problems
4 Proofs with Analytic Geometry
5 Distance Between a Point and a Line
6 Advanced Analytic Geometry Problems

SESSION 18

5

May

SESSION 18

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

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

Review

SESSION 20

19

May

SESSION 20

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

About

Tutored by

Dean H 🇺🇸

Sessions

6

Geometry foundations

Geometry foundations

13

Angles

Angles

20

Triangles

Triangles

27

Area and perimeter

Area and perimeter

3

Triangles

Triangles

10

Triangles

Triangles

17

Triangles

Triangles

24

Quadrilaterals

Quadrilaterals

3

Other Topics

Other Topics

10

Triangles

Triangles

17

Review

Review

24

Circles

Circles

31

Circles

Circles

7

Other Topics

Other Topics

14

Other Topics

Other Topics

21

Transformation properties and proofs

Transformation properties and proofs

28

Analytic geometry

Analytic geometry

5

Right triangles & trigonometry

Right triangles & trigonometry

12

Review

Review

19

Review

Review

Public Discussion

Jan 6 - May 19