I began mathematics teaching as a college math/computer tutor in 1988. I started onsite high school mathematics teaching in 1996. I started online mathematics teaching in 2002. I am still currently teaching mathematics.
This e-textbook is a compilation of the current $1Geometry Study Guide Downloads series with an immediate solution steps section for the problem section of each chapter; immediately after each problem section is the solution steps section. This compilation composes a cost-effective, well-illustrated textbook for a Euclidean geometry course with applications to related topics. Some of the related topics are high school algebra I, planar and spherical distance, spherical triangles, the geodesica
The actual Euclidean four-dimensional sphere, the Euclidean hypersphere, and the hyperspherical triangle are developed and described. The development is a dimensional expansion from disc to 4-dim sphere. The description is based on the development. Only Euclidean geometry is considered in the development and description.
What is distance? What is a geodesic? What are geodesical functions that exist on the surface of a globe? What is a geodesic midpoint? Do you need more insight on spherical triangles? This study guide can help answer these questions. 17 solved problems.
What is the perimeter of a triangle? Do you need a straight forward method for finding the orthocenter of a triangle? Do you need to see how the Law of Sines and Law of Cosines are developed? Do you need to see how Heron’s Triangle Area Formula is developed? Do you need to see how the geometric mean is applied to triangles? Do you need to better understand triangle similarity and proportionality, including as applied to perimeter and area? Do you need to know triangle trigonometry? What is the H
How can a Euclidean shape change and remain the same type of shape? What are the different ways that a Euclidean shape change and remain the same type of shape? How can a Euclidean shape change and remain either congruent or noncongruent? How can these changes be used to generate patterns across a flat plane? What characteristic allows for a shape to be bisected or rotated back to its original orientation? The study guide Transformations can help with these questions. 81 solved problems, 10
Visualized by using simple geometric shapes, a closer look will be taken at these topics: A) the number line, B) arithmetic operations with integers including long division, C) arithmetic operations with fractions, D) solving the following: linear equations, linear inequalities, absolute value linear equations, absolute value linear inequalities.
How can lengths be used to find area or volume? How can length and area be used to find volume? How can area be used to find length? How can volume be used to find area or length? What are hidden shapes, and how can they be used to find indirect measurements? This study guide shows how to make indirect measurements using shapes hidden within other shapes. 24 solved problems.
How are area and surface area formulas for circles, spheres, oblique and right circular cones, sectors, segments, and other Euclidean shapes developed? Need help finding the area or surface area? The Area Study Guide can help you. For college and high school students and teachers. 53 solved problems.
Why is the interior angle sum of an n-sided polygon equal to (n-2)180 deg? Why is the exterior angel sum of a polygon 360 deg? Need help with understanding what a rhombus or a kite is? Need insight on the midsegment of a trapezoid? This study guide provides this information and has 22 solved polygon problems.
Need more help with: graphing equations and inequalities of lines, two-variable absolute value, parabolas,and cubics? By using simple geometry, this studyguide will help.
How can the circle formulas be realized? How are line segments and angles related to circles? What is an arc measure as compared to an arc length? The Circles study guide can help you. 26 solved problems.
How are the volume formulas developed? How are the formulas applied for problem solving? Need help finding volumes of oblique shapes? The Volume study guide can help you. 15 solved problems.
A resource for realizing the fractal characteristic of the distribution of the set of Prime Numbers. The set of prime numbers undergoes 2-D maps from the number line to Quadrant I of the xy-plane. A Line-graph relation is generated through the mapped primes numbers. The fractal characteristic of the relation is developed and verified. Graphs of the patterns of the relation for increasingly larger subsets of the prime numbers are presented, visualizing the fractalness of the relation. The re
11th - 12th, Higher Education
Other (Math)
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About the store
Experience
I began mathematics teaching as a college math/computer tutor in 1988. I started onsite high school mathematics teaching in 1996. I started online mathematics teaching in 2002. I am still currently teaching mathematics.
Teaching style
I patiently make mathematics understandable to any student, rewording concepts without losing any content for ease of reading. For handouts and study guides I use clear visual illustrations.
My own education history
MS Mathematics, 1995, Cleveland State University, OH.
Mathematics Teaching License 7-12, 1997, Ashland University, OH.
BS Applied Mathematics, 1990, Cleveland State University, OH.
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