$59.00 – $99.00
Students learn: Points, Lines, Planes, Angles, Parallel and Perpendicular Lines, Triangles, Quadrilaterals, Transformations, Congruence and Similarity, Surface Area and Volume, Circles, Vectors
Typically for 9-10th grade students. Full school year.
Comprehensive Geometry or 9th or 10th grade students
Geometry, known as the study of shapes, is a substantial part of the first or second grade in high school. Historically, it was the first study of math on the scene, and helped us reach to other parts of math. Therefore, it is a big deal,which you should learn about! Here we start from the ground up,using a few postulates and definitions to reach to the rest of geometry. Pre-requisite: Algebra 1
Contents of the Geometry Course:
- Points, Lines, and Planes
When we begin,we use definitions to get rigorous with these terms. But, the student also get a familiar sense with these to help later.
We begin this section by defining angle using lines. Then, we introduce the importance of an angle to the student.
- Parallel and Perpendicular Lines
We use angle to see what parallel and perpendicular lines are.After that, the student learns about parallel properties with transversals. While we don’t put that much emphasis on perpendicular lines,they still are something you learn.
We continue our journey when you learn about triangles. You learn about the summation of the angles with a proof.Then, you learn about the area of a triangle,the altitude,the median, and the angle bisector.After that, you learn about triangular inequalities, and learn more about triangles.
- Quadrilaterals After we learn about triangles,we learn about quadrilaterals.The different types of quadrilaterals and their qualities are what we learn in this section.
In this section, the student discovers,or reviews(probably review), the 4 most common transformations:reflection,rotation,translation,and dilation. We see in depth how each one of these work and how to combine these transformations.We also cover what a rigid transformation is.
- Congruence and Similarity
We see that a congruent shape is a shape that went through a rigid transformation. Building on that, we see that a similar shape is a shape that went through a dilation,and maybe a rigid transformation.The student learns about what congruence and similarity implies.Most of all though, the student learns about similar and congruent triangles, and how to prove them.
- Surface Area and Volume
Onward to the third dimension! First,we see how to define surface area and volume. The here, we study the surface area and volume of 3-D shapes and look into how to solve them for various shapes.
In this section ,the student learns about circles,the various properties of angles that have relations with them,secants,tangents,line segments,and arc!
In this section, we take a quick look,at vectors.We learn vector addition,subtracts,and the dot product of a vector,vector scaling,applications,2D and 3D vectors(if we can get to it),and more!
Our Geometry Tutors
Rebecca HoBiology Major at Brown UniversityProvidence, RI
Joelle ParkBiological Sciences Major at Cornell UniversityBay Area, CA
Cindy LopezBA in Mathematics from Amherst CollegeChicago, IL
Tori WalkerBS Computational Media from Georgia TechCapiatá, Paraguay
Riya DesaiJunior at the University of Texas at Austin pursing a B.S.A. in BiochemistryAustin, Texas
Alena YouBS Civil Engineering in UC IrvineUnited States
Jessica-Ann “Jessie” EreyiEngineering Freshman at Princeton UniversityCharlotte, North Carolina
Juan MartinezComputer Science Master's Student at UC Davis, B.S. in Applied Mathematics from UC MercedBay Area, CA
Alex KarpfMath Major StanfordUnited States
Aarya Robin GoenkaMath Sophomore from UCLAAhmedabad, India
Nick VecchioniEECS and Data Science Junior at UC BerkeleyBerkeley, California
Florence LiUniversity of Chicago, Biological/Environmental Science MajorNJ
|Individual or Group Class|
Group Class, Individual Class