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Functions Defined by Integrals
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
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Worksheet #5, Concavity,
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Curated OER
Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
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Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Urbana School District
Optics
Don't worry, optics is a light topic! The presentation covers reflection, refraction, fiber optics, mirages, prisms, rainbows, dispersion, mirrors, lenses, telescopes, diffraction, the human eye, and much, much more. Presentation is the...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
Curated OER
Exploring the Landscape
Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
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Infinite Limits and Horizontal Asymptotes
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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Math 155 - Worksheet 13. Intervals
In this interval worksheet, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page worksheet...
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Worksheet 15-Fall 1995
For this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape....
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems. These problems are designed as review and preparation for the AP Calculus Exam.
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AP Calculus Practice Exam AB Version-Section1-Part 1
In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
Cornell University
Building a Compound Light Microscope
What better way to learn how to use a microscope than building your own? A lab investigation has scholars use lenses from magnifying glasses and sheets of cork to design their own compound microscopes. They calculate focal length and the...
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Derivative Analysis
Students analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, learners solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Learners find the area of an enclosed region between two curves.
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Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
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Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
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Intervals
In this intervals worksheet, students determine the coordinates at a point of inflection. They compute the deritative of a function and sketch curves that satisfy given conditions. Students solve equations using the Mean Value Theorem...