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This product is a result of explaining to a confused daughter how to graph trig functions without looking at formulas, other words, just making sense of it. She was so pleased that she taught others how to do it.
This involves looking at various

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This is a complete explanation of function notation, how it is used (with lots of examples), and why. I wrote this when several students were having difficulty understanding the notation from the short explanation in the textbook. One full page.

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This is a chart for students to complete which practices with exact values of degrees and radians, standard position, reference angle, and exact value of trigonometric functions. I do a small part in class to give them the idea and have them

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This is a complete unit on exponents, with all definitions and rules. It is done in outline structure, but has explanations, examples, and problems to work. It builds by asking questions at each stage. 4-5 pages. If you want worksheets or

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Written in outline structure for ease in reading, this explains the rules, giving examples and practice problems. It also goes through a discussion of rational exponents. Assumes students know the definitions. 2-3 pages.

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Explanation of completing the square, with examples and problems to practice. Preparation for factoring and later use in equations.

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This is a set of 8 problems which require using inequalities. Students like to use equations and then assume their answer is correct. These problems get them used to using inqualities. Now with solutions.

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Shows how to read the slope and intercept from a variety of linear equations. (Shows some that students typically misread.) Can also be a handout.

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A series of word problems which require students to find answers and interpret various topics (break-even, average cost, equation of a parabola, profit) with a variety of functions (quadratic, piece-wise, linear, and rational) in word problems. A

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Three word problems involving exponential functions, with various questions requiring students to relate features of the function to words of an application. Uses a graphing calculator some. I usually do one problem in class and then assign the rest

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A set of problems to review the basic concepts of exponential and logarithmic equations. Solutions are provided, so no space is given for work. Good for review before a test or as a practice test.

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There are 5 applications in business, engineering, and health where formulas or expressions involve radicals or rational exponents. Students are asked to change form from radical to exponent or vice versa, or rationalize the denominator. These

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This is a worksheet which, through a series of careful questions and answers, has students learn about the graph of the exponential function - its continuity, range, and asymptote.Then it explores variations on the function through graphing

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Using 3 different situations, there are questions that require finding and interpreting answers (an area in which students have difficulty) in words of the problem. A graphing calculator is required for large numbers. Can start with one problem in

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Has students discover the defintions of exponents through carefully asked questions and pattern observations. Can be group work or individual assignment.

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In table format, this lists 8 variations on given information in a problem, possible questions that could be asked, procedures used to solve, and a practice problem for each. Since there are actually 18 problems resulting, this is good practice

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There are 5 problems with different situations with increasingly complex equations. Space is provided for working. Good for showing why they need to know the properties of logarithms. Can start in class and assign the rest as homework. Now with

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In table form, there are 4 functions with graphs for students to practice graphing techniques (reflecting, stretching, translating). The general equation for each transformation is given. Students should write a specific equation in each form and

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This is a unit of 4-5 pages (Greatest Common Factor, Difference of Two Squares, Completing the Square, and Factoring Trinomials combined together. Although intended for use as a review, each page could be given as notes for a type of factoring, or

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This full 3-page document, in outline form, discusses the definition in detail, the properties of logarithms, and emphasizes solving exponential/logarithmic equations trough step-by-step examples.

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TEACHING EXPERIENCE

5 years of teaching math in high school, and then 20 years of teaching math in college (College Algebra, Trigonometry, PreCalculus, and Business Calculus, as well as some high school review)

MY TEACHING STYLE

My teaching style reflects my philosopy that students should understand what they do and not just do it mechanically or without thought. As much as possible, they should see a use for what they are learning. This has been the motivation behind a lot of the work I have created through the years

HONORS/AWARDS/SHINING TEACHER MOMENT

Shining moments are the times that students have stopped me in a parking lot or shopping center several years later to tell me I was responsible for them graduating from college with their chosen degree (when I only had them in one math class). Or the surprised open-mouth look on the face of a student who suddenly figures out just what to do after thinking for a considerable time.

MY OWN EDUCATIONAL HISTORY

B.A. in Math, B.S. in Education, and M.A. in Teaching Mathematics

ADDITIONAL BIOGRAPHICAL INFORMATION

Yet to be added

GRADES

9^{th}, 10^{th}, 11^{th}, 12^{th}, Higher Education, Adult Education, Homeschool

SUBJECTS

Math, Algebra, Calculus, PreCalculus, Trigonometry, Mathematics, Algebra 2