Lisa Jones
110 Followers
O'Fallon, Missouri, United States
About the store
I retired after 28 years of teaching high school math. Throughout my career I taught Algebra I, Geometry, Algebra 2, Math Analysis, Trigonometry, PreCalculus and Calculus. I still enjoy working with students and teachers and developing resources to enhance learning.
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Calculus Derivatives Test
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, power, product, quotient and chain rules. Applying average rate of change to a function on an interval and also finding the instantaneous rate of change of a function at a particular value. Students knowledge of the relationship between position, v
10th - 12th, Higher Education
Calculus, Math
Exponential and Logarithmic Functions
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 decay functions, finding the inverse of a function, common and natural logarithms, solving equations involving exponential functions, and utilizing the change-of-base formula. One form could be used as a review/practice worksheet or a formative assessme
9th - 12th, Higher Education
Algebra 2, Math Test Prep, PreCalculus
Form B Graphing, Continuity, and Limits with Rational Functions
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 Calculus courses.) Using graphical representations to investigate one-sided limits and types of discontinuity leads to a better understanding of continuity. I have used Form A for in-class instruction and Form B as a take-home assignment for more practice.
10th - 12th
Calculus, Math, PreCalculus
Calculus Derivatives Quiz
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, locating horizontal tangents, and velocity and acceleration.
10th - 12th, Higher Education
Calculus, Math
Calculus Applications of Derivatives
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 describe its concavity. On the last problem, students will utilize all of these techniques, as well as their prior knowledge of finding the roots of a polynomial to graph a cubic function.
10th - 12th, Higher Education
Calculus, Math Test Prep
Calculus Assessment - Exponential and Logarithmic Functions
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 questions included. Answer keys on last page.
11th - 12th, Higher Education
Calculus, Math Test Prep
Applying the Pythagorean Theorem to find the distance between two points
This lesson is designed to help students understand that the Pythagoren Theorem can be applied to right triangles in the cartesian plane in order to find the distance between two points. I am pleased that this standard is included in the common core. I have taught it many times, in many different math courses, when students needed help understanding the distance formula. Memorizing the distance formula without having this level of understanding can lead to errors in its application.
My hop
8th - 12th
Algebra, Geometry, Math
Rational and Radical Functions Assessment
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 radical equations.
10th - 12th
Algebra, Math Test Prep
Calculus - Applications of Approximation Techniques for Definite Integrals
This is a follow-up activity to the lesson "Approximation Techniques for Definite Integrals" which includes application problems for students to practice their learning and intepret solutions in context. In addition to calculating left and right Reimann sums, and utilizing the trapezoidal rule, students will also approximate derivatives with the slope of a secant line, use the fundamental theorem of calculus, and calculate the average value of a function.
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
AB Exam Review Quiz 2
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 all together which should take about 30-40 minutes, leaving time for scoring and quick feedback during the same class period. It is easily used with interactive student response systems if available in your classroom.
10th - 12th, Higher Education
Calculus, Math Test Prep
Calculus Integration Assessment
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.
11th - 12th, Higher Education
Calculus
Operations on Polynomials
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 last two problems students will determine if a binomial is a factor of a polynomial using synthetic substitution.
8th - 11th
Algebra, Algebra 2, Math Test Prep
AB Exam Review Quiz 1
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 which typically take about 30-40 min for students to complete, leaving time for scoring and quick feedback during the same class period. It is easily used with interactive student response systems if available in your classroom.
10th - 12th, Higher Education
Calculus, Math Test Prep
Calculus Review Quiz
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.
11th - 12th
Calculus, Math Test Prep
Definite Integral as Limit of Riemann Sums
Instructional Material and Test Prep/Practice for AB and BC Calculus
10th - 12th, Higher Education
Calculus, Math Test Prep
Graphing Activity Factors and Intercepts of Quadratic Functions
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 throughout. Problems 1 to 10 have a leading coefficient of 1. Problems 11 and 12 have a leading coefficient of 2.
It is written to include the use of a graphing calculator, but could easily be completed without a graphing calculator. If completed
9th - 12th
Algebra, Graphing, Math
Graphing Equations of Parabolas: Vertex, Focus and Directrix
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 parabola given a focus and directrix.) Students are not expected to state the axis of symmetry in this activity, but it could easily be added. - There is a second resource to follow-up on this activity, entitled "Graphing and Writing Equations of Par
9th - 12th
Algebra, Geometry, Graphing
Form A Graphing, Continuity, and Limits with Rational Functions
This activity 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 Calculus courses.) Using graphical representations to investigate one-sided limits and types of discontinuity leads to a better understanding of continuity. *Form B of this activity can be used to reinforce these concepts or as an assessment. **Forms C and D involve polynomial division
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Calculus Integration - Approximation Techniques for Definite Integrals
This is an introductory lesson to help students learn approximation techiniques for definite integrals. Left, Right, and Midpoint Riemann sums are included, as well as the Trapezoidal rule. Students are initially given functional values in chart form, then later provided three functions to evaluate in completing charts prior to approximating integrals. Students will also use the Fundamental Theorem of Calculus to evaluate integral in order to compare exact values to approximated values and dr
10th - 12th, Higher Education
Calculus, Math Test Prep
Calculus MC Integration Quiz A and B with Key
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 forms of the 12 question quiz and the answer keys. It can be completed with or without a calculator.
10th - 12th, Higher Education
Calculus, Math Test Prep
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About the store
Experience
I retired after 28 years of teaching high school math. Throughout my career I taught Algebra I, Geometry, Algebra 2, Math Analysis, Trigonometry, PreCalculus and Calculus. I still enjoy working with students and teachers and developing resources to enhance learning.
Teaching style
I strive to incorporate practices supported by cognitive science, specifically cognitive load theory. Most of my activities are designed to promote student engagement during guided instruction which will lead to independent student success. I believe that guided instruction is often misunderstood and mischaracterized as purely lecture. Actively engaging students in concept attainment throughout each lesson has always been 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.
My own education history
B.S. Classical Applied Mathematics, 7-12 Certification in Mathematics, MEd w/ 30 additional hours, Adjunct Certification in Mathematics.
Additional biographical information
I've participated in a wide variety of PD throughout my career. I believe that Professional Learning Communities (PLCs) are best utilized when they engage in content rich professional develpment of and for teachers. Collaborative lesson development and analysis takes time and I believe it should be driven by teachers and not their supervisors or evaluators. Teachers who make learning a priority LOVE working with their colleagues to develop shared lessons which utilize best practices.
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