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This introductory activity is designed to help students form a better understanding of the relationship between equations of parabolas and the vertex, focus, and directrix of their graphs.(Common Core Standard G - GPE.2. Derive the equation of a

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This introductory activity is designed to help students develop a better understanding of the relationship between the factors of a quadratic function and the x-intercepts of its related graph. Students will practice factoring quadratic expressions

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This lesson is designed to help students approximate definite integrals using Left, Right, and Midpoint Riemann sums as well as the Trapezoidal rule. They are initially given functional values in chart form, then later provided three functions to

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This file contains two forms of a multiple choice assessment on exponential and logarithmic functions which was written for Algebra 2. It includes the answers on the last page.
This activity/assessment includes problems on exponential growth and

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Assessment for AP Calculus on Derivatives Unit. After the mid-unit quiz, students study implicit differentiation and related rates. These are included on the test in addition to the topics that were on the mid-unit quiz: definition of derivative,

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Through this activity students will determine critical numbers of functions, locate relative extrema and points of inflection, and utilize the first and second derivatives to locate intervals on which the function is increasing or decreasing and to

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This activity is designed to give students practice on using the rational root theorem, synthetic division, the quadratic formula, as well as understanding that irrational and complex zeros of polynomials with integer coefficients occur in pairs.

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This activity accompanies FREE version A which is intended to help students bridge the gap between the graphing of rational functions encountered in Algebra 2 and the level of analysis expected in precalculus and calculus. (I use it in my AP

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Two forms (A and B) of a 12 question quiz for calculus over derivatives. Includes basic differentiation using power, product/quotient rules, and chain rule. Common ap-type questions on piece-wise function's continuity and/or differentiability,

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This multiple choice quiz is over the fundamental theorem of calculus, finding general and particular solutions to differential equations, Reimann sums and the trapezoidal rule, the second fundamental theorem of calculus.
This document includes two

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Two calculus assessments (form A and form B) over exponential and logarithmic functions. 22 questions, 16 multiple choice or matching and 6 constructed response. Differentiation and integration of exponential and logarithmic functions, AP-style

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The file includes two forms of the same multiple choice quiz. Each quiz has 23 questions (16 without a calculator and 7 with the calculator) The answer keys are included.

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Students will practice using addition, subtraction, multiplication and division of polynomials in this activity. Expanding simple binomial expressions with Pascal's triangle, i.e. (a+b)^6. Long division and synthetic division are included. On the

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There are two forms of this multiple choice assessment included, with the keys. Topics include direct, inverse and joint variation, addition, subtraction, multiplication and division of rational expressions, graphing rational functions, and solving

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Assessment of basic integration techniques includes calculator and non-calculator items. Techniques of approximating integrals, applying the fundamental theorem with calculator active, as well as functions defined by integrals and their derivatives.

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Review and practice activity on graphing linear equations and inequalities, writing the equation of a line, and locating intercepts of linear equations. Answer key included.

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This is a second quiz over AB exam review content. Like the first one, there are two forms of this multiple-choice AB Calculus "exam review" quiz included. Each form has a "no calculator" and a "calculator active" section. There are 15 questions

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This is an analytic introduction to functions defined by integrals in calculus. Graphing and class discussion of the accumulation represented by each integral is recommended in conjuction with this activity. Students will evaluate the integrals in

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TEACHING EXPERIENCE

I've been teaching mathematics for 25+ years. I currently teach Algebra 2 and Calculus, but I have taught Algebra I, Geometry, Math Analysis and Trigonometry (PreCalc) throughout my career.

MY TEACHING STYLE

I try to incorporate practices supported by cognitive science, specifically cognitive load theory. Most of my activities are designed to promote student engagement during guided instruction. I believe that guided instruction is often misunderstood and characterized as purely lecture. Actively engaging students in concept attainment throughout each lesson is my goal. An article of personal interest is Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching. Evidence in support of guided instruction is explained in the context of human cognitive architecture, expert and novice differences, and cognitive load.

HONORS/AWARDS/SHINING TEACHER MOMENT

Yet to be added

MY OWN EDUCATIONAL HISTORY

B.S. Classical Applied Mathematics, 7-12 Certification in Mathematics, MEd w/ 30 additional hours, Adjunct Certification in Mathematics.

ADDITIONAL BIOGRAPHICAL INFORMATION

I have two children and two grandchild. Prior to teaching, I worked as a research assistant on a project designed to familiarize high school mathematics teachers with applications of mathematics. I worked briefly as a mathematics instruction specialist until I decided to go back to the classroom. I enjoyed working with teachers emensely but really missed working with students on a daily basis. I've participated in a wide variety of PD throughout my career, but I cannot say enough in support of the Professional Learning Community (PLC) model. Our district's PLCs engage in content rich lesson development throughout the year. I love working with colleagues to develop lessons and identify best practices.

GRADES

6^{th}, 7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Higher Education

SUBJECTS

Specialty, Math, Algebra, Calculus, Geometry, Graphing, PreCalculus, Other (Math), Mathematics, Math Test Prep, Algebra 2, Test Preparation