MATHEOLOGICAL
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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Writing Equations of Linear Piece-Wise Defined Functions From A Given Graph
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.
9th - 12th
Algebra, Algebra 2, Math
Geometry & Fractals Project - The Pentagonal Fractal Construction Process
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!
9th - 12th
Geometry, Math
Functions - Domain, Range, and 1-1 (one-to-one) Functions
This product contains twenty algebra problems (5 pages) designed to help students understand domain, range, and the concept of 1-1 functions utilizing both "set builder notation" and "interval notation." The pages come in "color" or in "black & white" (with light blue grids for contrast) and an answer key.
9th - 12th
Algebra, Algebra 2, Math
Piece-Wise Defined Functions: Applications (Part 5)
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
9th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+2
Piece-Wise Defined Functions Part 2 (Domain Restrictions on Linear Functions)
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
9th - 12th
Algebra, Algebra 2, Math
Polar and Rectangular Grids Combined
This handout contains overlapping POLAR and RECTANGULAR GRIDS. Grid sheets are available in degree measure, in radian measure, and without any measure (student can fill in on his/her own)..
All grid sheets are available in two color schemes: black/white and blue/white
Larger grids are also included (white background and black background) for use by teacher on a projection board.
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
AP Calculus Problem Set A3
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
11th - 12th, Higher Education
Calculus, Math
AP Calculus Problem Set A2
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
11th - 12th, Higher Education
Calculus, Math
Algebra 2 Problem Set A1
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
9th - 12th
Algebra, Algebra 2, Math
Triangle Sum Theorem and More!
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.
7th - 12th
Geometry, Math
CCSS
7.G.B.5
, 8.G.A.5
A Discussion Of The Structure Of The Number System
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
5th - 12th
Algebra, Algebra 2, Numbers
CCSS, VA SOL
8.NS.A.1
, 8.NS.A.2
, HSN-RN.B.3
+2
Area Of A Circle: Proofs
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!
7th - 10th
Fractions, Geometry, Math
CCSS
7.G.B.4
Understanding Relations and Functions
"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
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Math
AP Calculus Problem Set A1
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
11th - 12th, Higher Education
Calculus, Math
Writing Equations of Linear Piece-Wise Defined Functions (Part 4)
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.
9th - 12th
Algebra, Algebra 2, PreCalculus
Concreting A Driveway
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.
9th - 12th
Geometry, Math, Measurement
CCSS, TEKS, VA SOL
HSG-MG.A.3
, MA.9-12.G.10.B
, MA.9-12.G.11.A
+1
Triangles and Quadrilaterals: PERIMETER and AREA
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
8th - 12th
Geometry, Math
VA SOL
PC.G.9
, T.G.8.a
Functions - Domain, Range, and 1-1 (one-to-one) Functions FREEBIE
This product contains four algebra problems (1 student page) designed to help students understand domain, range, and the concept of 1-1 functions utilizing both "set builder notation" and "interval notation." The pages come in "color" or in "black & white" (with light blue grids for contrast) and an answer key.
This FREEBIE is part of a set of 20 similar problems available for purchase here:
Functions - Domain, Range, and 1-1 Functions
9th - 12th
Algebra, Algebra 2, Math
XY Axes FREEBIES
XY-axes with contrasting colors between the grid lines (light blue but will xerox light gray) and the axes (black). The item has one student sheet that contains six grids with "20 by 20" units (without numbers but axes are labeled) where each quadrant contains "10 by 10" units.
I use this product with my students because the contrast between the grid and axes offers the students the ability to count units from the origin more easily.
7th - 12th
Algebra, Graphing, Math
Showing 1-19 of 19 results
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
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