Geometry - Full AoPS Course | Schoolhouse

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Geometry - Full AoPS Course

SAT Score Range

•

17 sessions

•

DF

JZ

SD

+8

Home

About

About

We'll be learning Geometry through the use of Introduction to Geometry by Richard Rusczyk, published by the Art of Problem Solving. The textbook we're using really helps you get a rock-solid foundation in Geometry since it includes many challenge problems! Join if you want to be challenged. 

Tutored by

DH

Dean H 🇺🇸

Certified in 4 topics

Hi! I'm a high schooler who plays violin and piano. I have a cat and am here to help people. I have taken Alg I, Geometry, Alg II and AP Precalc. I have taken AP Human Geography and know a portion of AP World History.

PL

MS

Margaret S 🇺🇸

Moderator

Certified in 29 topics

I'm a homeschooler who loves math, reading, writing, coding, chess (and Antichess, DM on SHW Slack to challenge!), running Dungeons and Dragons campaigns, and much more! Have a wonderful day/night :)

Schedule

✋ ATTENDANCE POLICY

No strict policy! I would encourage you to attend all sessions, but if you're busy I totally understand. Message me if you are going to be absent and I will be more than happy to send lesson materials to you.

SESSION 1

10

Jul

SESSION 1

Other Topics

Other Topics

Thu 1:00 AM - 1:50 AM UTCJul 10, 1:00 AM - 1:50 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

20

Jul

SESSION 2

Other Topics

Other Topics

Sun 1:30 AM - 2:30 AM UTCJul 20, 1:30 AM - 2:30 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
8 Summary

SESSION 3

24

Jul

SESSION 3

Other Topics

Other Topics

Thu 1:30 AM - 2:30 AM UTCJul 24, 1:30 AM - 2:30 AM UTC

- 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
﻿
A COMPASS IS NEEDED FOR THIS SESSION (not the north-east-south-west one. A drawing compass. Don't get the plastic ones. Trust me, they break after using it twice)

SESSION 4

27

Jul

SESSION 4

Other Topics

Other Topics

Sun 1:30 AM - 2:40 AM UTCJul 27, 1:30 AM - 2:40 AM UTC

Chapter 4 - Perimeter and Area
4.1 Perimeter
4.2 Area
4.3 Same Base/Same Altitude
﻿
Since Chapter 4 is so short, we'll also cover 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
﻿
A COMPASS IS NEEDED FOR THIS SESSION (not the north-east-south-west one. A drawing compass. Don't get the plastic ones. Trust me, they break after using it twice)

SESSION 5

31

Jul

SESSION 5

Right triangles & trigonometry

Right triangles & trigonometry

Thu 1:30 AM - 2:30 AM UTCJul 31, 1:30 AM - 2:30 AM UTC

Right Triangles
1 Pythagorean Theorem
2 Two Special Right Triangles
3 Pythagorean Triples
4 Congruence and Similarity Revisited
﻿
Skip 6.5 - Heron's Formula - advanced topic, you can revisit if you want to

SESSION 6

6

Aug

SESSION 6

Other Topics

Other Topics

Wed 1:30 AM - 2:30 AM UTCAug 6, 1:30 AM - 2:30 AM UTC

Note the date change - Tuesday since I am busy on the 2nd.
﻿
Special Parts of a Triangle
1 Bisectors
2 Perpendicular Bisectors of a Triangle
3 Angle Bisectors of a Triangle
4 Medians
5 Altitudes
7 Construction: Bisectors
﻿
6 Challenging Problems will be assigned as optional practice later on.

SESSION 7

8

Aug

SESSION 7

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 8, 1:30 AM - 2:30 AM UTC

Note the date change
﻿
Quadrilaterals
1 Quadrilateral Basics
2 Trapezoids
3 Parallelograms
4 Rhombi
5 Rectangles
6 Squares
7 If and Only If
8 Quadrilateral Problems

SESSION 8

15

Aug

SESSION 8

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 15, 1:30 AM - 2:30 AM UTC

At this point, school starts for me. I have no idea when I will be available so don't consider any of these dates set in stone - thanks for your flexibility! This is when twice-weekly sessions change to once-weekly
﻿
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
(A drawing compass will be required for this session)

SESSION 9

22

Aug

SESSION 9

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 22, 1:30 AM - 2:30 AM UTC

Geometric Inequalities
1 Sides and Angles of a Triangle
2 Pythagoras – Not Just For Right Triangles?
3 The Triangle Inequality

SESSION 10

29

Aug

SESSION 10

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 29, 1:30 AM - 2:30 AM UTC

Circles
1 Arc Measure, Arc Length, and Circumference
2 Area
3 Funky Areas
Circles and Angles
1 Inscribed Angles
2 Angles Inside and Outside Circles
3 Tangents
4 Problems
5 Construction: Tangents
Compass required

SESSION 11

5

Sep

SESSION 11

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 5, 1:30 AM - 2:30 AM UTC

Power of a Point
1 What is Power of a Point?
2 Power of a Point Problems

SESSION 12

12

Sep

SESSION 12

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 12, 1:30 AM - 2:30 AM UTC

Three-Dimensional Geometry
1 Planes
2 Prisms
3 Pyramids
4 Regular Polyhedra

SESSION 13

19

Sep

SESSION 13

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 19, 1:30 AM - 2:30 AM UTC

Curved Surfaces
1 Cylinders
2 Cones
3 Spheres
4 Problems

SESSION 14

26

Sep

SESSION 14

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 26, 1:30 AM - 2:30 AM UTC

The More Things Change... (Transformations)
1 Translations
2 Rotations
3 Reflections
4 Dilation
5 Changing the Question
6 Construction: Transformations
﻿
compass required

SESSION 15

3

Oct

SESSION 15

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 3, 1:30 AM - 2:30 AM UTC

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 16

10

Oct

SESSION 16

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 10, 1:30 AM - 2:30 AM UTC

Introduction to Trigonometry
1 Trigonometry and Right Triangles
2 Not Just For Right Triangles
3 Law of Sines and Law of Cosines

SESSION 17

17

Oct

SESSION 17

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 17, 1:30 AM - 2:30 AM UTC

Review!

Public Discussion

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Jul 10 - Oct 17

15 weeks

50 - 70 mins

/ session

Next session on July 10, 2025

SCHEDULE

Fridays

1:30AM