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Enrichment • Series

AoPS: Introduction to Geometry + Further Geometry Exploration!

Tony T

Series Details

Sessions

Public Discussion

This series ended on January 4, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

Geometry is a huge part of problem solving: not only serving as a staple in math contests but also very applicable in areas such as physics or engineering. Join us for a series of problem-based sessions which covers content from the AoPS Geometry book -- and beyond!

Interested participants can expect fun and interactive weekly sessions focused on building skills for effective problem solving in geometry. The format will be short introductions to concepts, following by explorations of these ideas through fascinating (and sometimes very tricky) questions!

Overview: (each section will be comprised of multiple sessions, and are subject to change based on learner feedback)
Section 1: The Triangle
Section 2: Polygons
Section 3: The Circle

Tutor Qualifications

- I learnt large portions of contest geometry from the AoPS book

- I am an AMC honor roll recipient

- I have lots of experience teaching math from the fundamentals to higher math

- I have taught numerous previous sessions on AoPS books/contest math!

- Tutor profile for student feedback

✋ ATTENDANCE POLICY

No sessions are mandatory, but all are highly recommended -- you don't want to leave gaps in your understanding!

Dates

October 26 - January 4

Learners

35 / 40

Total Sessions

About the Tutor

Hello! I'm Tony, a Grade 12 student in Canada. I love creatively solving problems, whether they may be theoretical or applicable to the real world. I have a strong background in math up to multivariable differential calculus, all four AP Physics exams, and AoPS books. Furthermore, I am also fascinated by real world or competition math / physics, Python programming, and discrete maths such as topology or set theory. Feel free to start a chat with me if you have questions regarding any of the above! My sessions are typically chill and fun, and I hope to provide a space for both collaborative learning / problem solving and individualized support. My goal here at schoolhouse is to share a passion and fascination of math + science, and become a better communicator and leader. Cheers, nice to meet you, and hope you'll find my stuff interesting and helpful!

View Tony T's Profile

Upcoming Sessions

Past Sessions

Oct

Session 1

Orientation

Tue Oct 26, 2021, 12:30 AM

Welcome everyone! This session will be an introduction to our series, a quick overview of expectations, and a lesson on some of the prerequisites you will need to get the most out of this series. We will also discuss our weekly meeting time (as it is subject to change as learners see fit!)

Nov

Session 2

AoPS Math

Tue Nov 2, 2021, 12:30 AM

Session 1.1: The Triangle
Hello everyone! This session, we will begin to understand all the many properties of the triangle. Contains the pythagorean theorem, congruence, similarity, and more!

Nov

Session 3

AoPS Math

Fri Nov 5, 2021, 12:30 AM

Session 1.2: The Triangle -- Similarities and Congruences (A)
The first of two sessions focused on similarities and congruences. This is a topic that will be used a lot in the future, so two sessions covering the same thing will be run -- attendance at one is highly recommended, attendance at both not at all required but still will be very helpful.

Nov

Session 4

AoPS Math

Sun Nov 7, 2021, 8:00 PM

Session 1.2: The Triangle -- Similarities and Congruences (B)
The second of two sessions focused on similarities and congruences. This is a topic that will be used a lot in the future, so two sessions covering the same thing will be run -- attendance at one is highly recommended, attendance at both not at all required but still will be very helpful.

Nov

Session 5

AoPS Math

Tue Nov 9, 2021, 1:30 AM

Session 1.3: The Triangle
This will be a continued exploration of the triangle. Contains everything to do with 4 important points: the incenter, the circumcenter, the orthocenter, and the centroid.

Nov

Session 6

AoPS Math

Fri Nov 19, 2021, 1:30 AM

NOTE: Hey all! Super sorry for the time change, I had another commitment this week that I was unable to reschedule. We will be returning to our Monday times next week. Sorry for any inconveniences! -Tony
Session 1.4: The Triangle
Triangles offer many advantages when it comes to problem solving -- here we will discuss many strategies to do with the triangle, applying knowledge from previous section 1 (The Triangle) sessions.

Nov

Session 7

AoPS Math

Tue Nov 23, 2021, 1:30 AM

Section 2.1: Polygons
Having one more side than the triangle... it's the quadrilateral. Includes many problem solving strategies to do with the 4 sided polygon.

Nov

Session 8

AoPS Math

Tue Nov 30, 2021, 1:30 AM

Section 2.1: Polygons
Having one more side than the triangle... it's the quadrilateral. Includes many problem solving strategies to do with the 4 sided polygon.

Dec

Session 9

AoPS Math

Tue Dec 7, 2021, 1:30 AM

Session 2.2: Polygons
This session, we will look at polygons with more than 4 sides, regular and irregular: how do we find its properties, such as angles, interior angle sum, perimeter, and area?

Dec

Session 10

AoPS Math

Tue Dec 14, 2021, 1:30 AM

Session 3.1: The Circle
Introduction to a very beautiful geometric shape: the circle. Includes may definitions that will support us in future sessions on this topic (radius, circumference, tangent, chord, secant line,  etc)

Dec

Session 11

AoPS Math

Tue Dec 21, 2021, 1:30 AM

Session 3.2: The Circle
Formulas to do with the circle: Inscribed Angle theorem, Tangent-Secant theorem, Intersecting Chord theorem, and more. Includes many practice problems.

Dec

Session 12

AoPS Math

Tue Dec 28, 2021, 1:30 AM

Session 3.3: The Circle
Recap and further discussion of inscribed and circumscribed circles. Will include information from past chapters such as the incenter or cyclic quadrilaterals.

Jan

Session 13

AoPS Math

Tue Jan 4, 2022, 1:30 AM

Session 3.4: The Circle
Introduces the radian measure and problems to do with arc length, area of a sector, and other parts of a circle. The radian measure will also be very useful later on in the exploration of trigonometry.

Public Discussion

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