Pre-AP Geometry Essentials Made Easy

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Pre-AP Geometry Essentials Made Easy

SAT Score Range

•

3 sessions

•

+19

This series ended on August 26, 2023. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

Geometry is the branch of mathematics that studies the properties and relationships of shapes, angles, coordinates, and measurements. In this course, you will learn how to apply the principles and techniques of geometry to solve problems and prove theorems. You will explore topics such as:

- Transformations: how to move, rotate, reflect, and scale shapes on a plane or in space.
- Congruence: how to determine if two shapes are congruent, meaning they have the same size and shape, and how to use congruence criteria for triangles and other polygons.
- Similarity: how to determine if two shapes are similar, meaning they have the same shape but not necessarily the same size, and how to use similarity criteria and proportions to find missing lengths and angles.
- Proofs: how to write logical arguments that show why a statement is true, using definitions, postulates, theorems, and algebraic reasoning.
- Trigonometry: how to use the ratios of the sides of right triangles, known as sine, cosine, and tangent, to find missing angles and lengths, and how to apply them to real-world situations such as navigation, surveying, and astronomy.
- Analytic geometry: how to use coordinates and equations to represent and analyze geometric figures such as lines, circles, parabolas, and ellipses
- Conic sections: how to derive the equations and properties of the four types of conic sections (circles, ellipses, parabolas, and hyperbolas) from slicing a cone at different angles.
- Circle theorems: how to use theorems about angles, arcs, chords, tangents, secants, and inscribed polygons in circles to solve problems and prove statements.
- 3D shapes: how to calculate the surface area and volume of various solids such as prisms, pyramids, cylinders, cones, spheres, and hemispheres.

By the end of this course, you will have a solid foundation in geometry that will prepare you for more advanced courses in mathematics. 

You will also develop your spatial reasoning skills and your ability to think creatively and critically. This course is suitable for students who have completed Algebra 1 or equivalent.

Each session will occur once a week. I have already posted the first 3 courses in this series. I will continue to add more courses as the series progresses as I see how we are moving along.

Tutored by

Lishan P 🇺🇸

Certified in 20 topics

View Profile

Hi! I am a rising junior based in Texas. I love math and science, both competitive and academic. I've participated in math and science competitions, including competitions like AIME, USNCO, HMMT, Science Bowl, and Academic UIL. These competitions have been a testament to my experience and joy for math and science. Some AP's I've taken (and gotten 5's in) are Calculus BC, Chemistry, Physics 1, Biology, Statistics, and Precalculus. My favorite science subject is chemistry, and my favorite math subject is number theory. Additionally, I also enjoy Tetr.io, the piano, the viola, tennis, Rubik's cubes, chess, and reading! I'm excited to both learn and teach math and science here at Schoolhouse.

Schedule

✋ ATTENDANCE POLICY

Please do not miss any sessions, and if you do, message me in advance. You may miss a lot of valuable information.

SESSION 1

12

Aug

SESSION 1

Performing transformations

Sat 6:00 PM - 7:00 PM UTCAug 12, 6:00 PM - 7:00 PM UTC

In this session, we will have a brief orientation and introduction, before diving into Unit 1 of Geometry, which includes transformations, Euclidean geometry, reflections, and more.

SESSION 2

19

Aug

SESSION 2

Transformation properties and proofs

Sat 6:00 PM - 7:00 PM UTCAug 19, 6:00 PM - 7:00 PM UTC

In this session, we will quickly review what we learned in Unit 1 and move on to Unit 2, which covers rigid transformations, congruence, symmetry, and proofs.

SESSION 3

26

Aug

SESSION 3

Congruence

Sat 6:00 PM - 7:00 PM UTCAug 26, 6:00 PM - 7:00 PM UTC

In this session, we will quickly review what we learned in Unit 2 and move on to Unit 3, which covers congruence, theorems concerning triangle properties, and some more proofs.

Public Discussion

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Aug 12 - Aug 26

3 weeks

60 mins

/ session

SCHEDULE

Saturdays

6:00PM