Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Robert K.
BA, MBA, MS, CPA
Tutor Satisfaction Guarantee
Geometry
TutorMe
Question:

Many students think of geometry as the study of shapes -- points, lines, two-dimensional shapes (angles, triangles, rectangles, etc.) and three-dimensional figures (solids). But there is a fundamental skill taught that pertains to all such shapes, and carries over to many other branches of mathematics. What is that skill?

Robert K.
Answer:

The study of geometry teaches the student to think rationally and logically, and to use formal methods to develop proofs of theorems based on fundamental postulates and previously proven theorems. To be able to start with the end in mind and find pertinent information to logically construct proofs spills over to many of the physical and social sciences as well. The study of Geometry introduces and develops such skills.

Algebra
TutorMe
Question:

How does Algebra 2 build on, and enhance, concepts learned in Algebra 1. particularly the factoring, solution, and graphing of linear equations and functions, quadratic equations, and equations of higher order?

Robert K.
Answer:

Algebra 2 typically includes a review and enrichment of concepts learned in Algebra 1. It goes on, however, to begin to prepare the student for Pre-Calculus and Calculus by introducing additional, and increasingly sophisticated expressions including rational numbers, radicals, exponents, and logarithms. Analytical Geometry concepts are introduced, including conic sections such as circles, ellipses, parabolas, and hyperbolas. Core concepts, such as the Fundamental Theorem of Algebra and the Binomial Theorem are frequently also taught.

Algebra
TutorMe
Question:

What are the characteristics of Algebra that distinguish it from other branches of mathematics? How does it fit in, as a building block, for further study, and, aside from academic considerations, how is it practically applied on a daily basis?

Robert K.
Answer:

Algebra serves as a "gateway" from arithmetic, taking it from the specific to the general. It offers abstract approaches to solving entire families of problems, rather than the individual problems themselves. In addition, Algebra offers a bridge between mathematical expressions, in terms of variables, constants, and operators, and the graphical depictions of those expressions. Thus, it provides a means of understanding mathematical concepts both analytically and graphically. The applications of Algebra to our daily lives are endless, providing ways of understanding problems in such diverse areas of construction, engineering, medicine, finance...the possibilities are endless...

Send a message explaining your
needs and Robert will reply soon.
Contact Robert
Ready now? Request a lesson.
Start Session
FAQs
What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Session" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.