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MATHEOLOGICAL

Rated 4.82 out of 5, based on 11 reviews
21 Followers
Tennessee, United States
About the store
I have been a mathematics educator for 34+ years, having served 6 of those years as a System Mathematics Specialist and 28 of those years in the classroom. I am currently retired and loving it! I have also taught several different college/university level math courses throughout the years in night school and in summer school.
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Preview of Writing Equations of Linear Piece-Wise Defined Functions From A Given Graph

Writing Equations of Linear Piece-Wise Defined Functions From A Given Graph

Created by
MATHEOLOGICAL
Five graphs of various linear/constant piece-wise defined functions are given. Students will derive and write the equations of these functions from the given graphs. Solutions are included. This sheet can serve as extra practice, homework, or as an assessment.
Preview of Geometry & Fractals Project - The Pentagonal Fractal Construction Process

Geometry & Fractals Project - The Pentagonal Fractal Construction Process

Created by
MATHEOLOGICAL
This geometry fractal presentation is designed to show students how to construct a regular pentagonal fractal. The initial construction process shows how to work from "larger" to "smaller" to demonstrate the fractal self-similarity process, whereas the end of the presentation shows how to work from "smaller" to "larger" to demonstrate the same self-similarity process. This presentation also shows how to construct a 3-D pentagonal fractal (dodecahedron), which makes for a great project!
Preview of Piece-Wise Defined Functions:  Applications (Part 5)

Piece-Wise Defined Functions: Applications (Part 5)

Created by
MATHEOLOGICAL
Looking for some interesting real-world/application problems that involve Piece-Wise Defined Functions? Look no further--such problems are here! There are 3 main problems given, but each of these problems have multiple sub-questions to ensure that students can solidify their conceptual, algebraic, and geometric understanding of how such problems work and are a part of every day life. A solution key is provided. You can purchase either a PDF or PowerPoint version. This version is the Powe
Preview of Piece-Wise Defined Functions Part 2 (Domain Restrictions on Linear Functions)

Piece-Wise Defined Functions Part 2 (Domain Restrictions on Linear Functions)

Created by
MATHEOLOGICAL
This set of problems is PART 2 in a series of worksheets designed to help students better understand and master the concept of DOMAIN RESTRICTIONS on linear functions that will lead to a better grasp of Piece-Wise Defined Functions. This worksheet deals mainly with domain restrictions and graphs of such equations; the Piece-Wise Defined concept is introduced at the end of this worksheet. A solution key is included, and every problem/solution is presented in an individual format (slide) for pr
Preview of AP Calculus Problem Set A3

AP Calculus Problem Set A3

Created by
MATHEOLOGICAL
Problem Sets are comprised of review problems that cover previously learned content. It helps students maintain past knowledge while transferring this learning from short term memory to long term memory. This is huge for students participating in AP, IB, or any EOC exam. Each problem set contains 8-20 problems, and each problem set comes with a complete solution key. Problem sets can serve as homework, distance-learning work, review work, in-class work, or extra credit--you decide h
Preview of AP Calculus Problem Set A2

AP Calculus Problem Set A2

Created by
MATHEOLOGICAL
Problem Sets are comprised of review problems that cover previously learned content. It helps students maintain past knowledge while transferring this learning from short term memory to long term memory. This is huge for students participating in AP, IB, or any EOC exam. Each problem set contains 8-20 problems, and each problem set comes with a complete solution key. Problem sets can serve as homework, distance-learning work, review work, in-class work, or extra credit--you decide h
Preview of Algebra 2 Problem Set A1

Algebra 2 Problem Set A1

Created by
MATHEOLOGICAL
Problem Sets are comprised of review problems that cover previously learned content. It helps students maintain past knowledge while transferring this learning from short term memory to long term memory. This is huge for students participating in AP, IB, or any EOC exam. Each problem set contains 8-20 problems, and each problem set comes with a complete solution key. Problem sets can serve as homework, distance-learning work, review work, in-class work, or extra credit--you decide ho
Preview of Triangle Sum Theorem and More!

Triangle Sum Theorem and More!

Created by
MATHEOLOGICAL
This product is useful in either the classroom or for distancing learning. Activities and related problems include: Triangle Sum Theorem, Interior/Exterior Angles, Vertical Angles, Remote Interior Angles, and more! There are activities and problems to be worked during the course of the presentation to ensure student understanding, and there are also extra practice problems (with detailed solutions) at the end of the presentation product.
Preview of A Discussion Of The Structure Of The Number System

A Discussion Of The Structure Of The Number System

Created by
MATHEOLOGICAL
This product has multiple slides and address topics such as: Does 0.999... = 1? How can you verify your conjecture?The structure of the Real and Complex Number System (emphasis is on the Real Numbers, but other systems are addressed as well);Definitions, characteristics, and examples of both Rational and Irrational Numbers (and their supporting (subset) number systems;An written and visual explanation of the evolution of the real number line;The CLOSURE PROPERTY and how it relates to various n
Preview of Area Of A Circle: Proofs

Area Of A Circle: Proofs

Created by
MATHEOLOGICAL
Looking for a neat way to teach why the formula for the AREA OF A CIRCLE works? This presentation is a neat way to show your students a geometric approach for finding this famous formula that also incorporates fractional parts (fractions) of a circle! This presentation can be used in any K-12 math/geometry course as it applies to the standards or for a great review! Great tool for home school students!
Preview of Understanding Relations and Functions

Understanding Relations and Functions

Created by
MATHEOLOGICAL
"Understanding Relations and Functions" is a 6-page worksheet set (student vocabulary/concept review + 4 true/false statements + 19 additional problems with multiple parts) that help students build their understanding of relations and functions using points, mappings, points on grids, and graphs (constant, linear and simple linear piece-wise defined functions). Students are challenged to answers a variety of questions per problem concerning domain, range, relations, functions, and 1-1 functions
Preview of AP Calculus Problem Set A1

AP Calculus Problem Set A1

Created by
MATHEOLOGICAL
Problem Sets are comprised of review problems that cover previously learned content. It helps students maintain past knowledge while transferring this learning from short term memory to long term memory. This is huge for students participating in AP, IB, or any EOC exam. Each problem set contains 8-20 problems, and each problem set comes with a complete solution key. Problem sets can serve as homework, distance-learning work, review work, in-class work, or extra credit--you decide h
Preview of Writing Equations of Linear Piece-Wise Defined Functions (Part 4)

Writing Equations of Linear Piece-Wise Defined Functions (Part 4)

Created by
MATHEOLOGICAL
This activity/worksheet contains 16 graphs of piece-wise defined functions. Students are asked to derive/write the equations of the graphs. Color copies and black/white/blue copies are provided, as well as a solution key. The solution key has also been enlarged (one problem per slide) for easy student viewing onto a TV or other projection screen.
Preview of Concreting A Driveway

Concreting A Driveway

Created by
MATHEOLOGICAL
This product is a real-world application that uses both Geometry and Dimensional Analysis to determine both the "amount" and the "cost" of the concrete required when pouring a driveway. Great visual graphics and solutions are included. There are also two extension problems (with solutions) that build from the original problem. This is a problem that goes more in-depth than your typical text book problems.
Preview of Triangles and Quadrilaterals:  PERIMETER and AREA

Triangles and Quadrilaterals: PERIMETER and AREA

Created by
MATHEOLOGICAL
Can you/your students utilize some extra problems involving both PERIMETER and AREA involving triangles and various quadrilaterals? There are a total of 20 problems (found on pages 4-8 of this PowerPoint) involving at least one or more types of triangles, squares, rectangles, parallelograms, rhombi, kites, trapezoids, and non-special quadrilaterals. Detailed solutions are found on the last 5 pages of this presentation. The problems are structured so that students may have to figure out some mi
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About the store

Experience

I have been a mathematics educator for 34+ years, having served 6 of those years as a System Mathematics Specialist and 28 of those years in the classroom. I am currently retired and loving it! I have also taught several different college/university level math courses throughout the years in night school and in summer school.

Teaching style

I believe that students should be taught mathematics conceptually, verbally, algebraically, geometrically, numerically, analytically, and technologically! All students learn differently, therefore, I strive to vary the ways that I present and teach various mathematical concepts.

Awards & shining teacher moments

Selected as the 1994 “Teacher of the Year” at Elizabethton High School in Elizabethton, TN; Passed the National Actuary Math Exam 100 (on first attempt) in spring of 1999; Selected (one of three area high school teachers) to serve in the "Research Experience for Teachers" (REU) program at ETSU in summer of 2001; Served as the 2004-2005 President-Elect of the Upper East Tennessee Council of Teachers of Mathematics; Served as the 2005-2006 President of the Upper East Tennessee Council of Teachers of Mathematics; Published (co-authored) a math article entitled "Two Ways of Drawing Cubes on Dot Paper Connect Students to Life Outside Their Classroom" in the 2012 February edition of "Teaching Children Mathematics" publication; Co-Host of MATHLINE on East TN PBS on July 21, 2017

My own education history

BS in Business Administration (concentration: Operations Management + additional IE courses) from the University of Tennessee at Knoxville, 1985 Master of Arts in Teaching (concentration: Mathematics) from East Tennessee State University, 1987 Completed an additional 60+ hours in Mathematics (graduate and undergraduate) and education courses from East Tennessee State University, 1988-2005 Educational Specialist (EDS) from East Tennessee State University, 2006

Additional biographical information

My interests include: • Mathematics • Astronomy • Architecture • Ancient Civilizations • Archaeology • Science Fiction • Theology