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Lesson Plan
Howard Hughes Medical Institute

Population Dynamics

For Teachers 10th - 12th Standards
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
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Printables
Chapman University

Proof of L’Hospital’s Rule

For Teachers 10th - Higher Ed
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in simplifying...
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Worksheet
Curated OER

Indeterminate Forms and L'Hopital's Rule

For Students Higher Ed
In this limits learning exercise, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.
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Worksheet
Curated OER

Complex Analysis: Analyticity and Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...
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Worksheet
Curated OER

Complex Analysis: Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Lesson Plan
Curated OER

Exponential Models

For Teachers 10th - 12th
Students fit a continuous change exponential model to U.S. population data and use the model to predict future population.
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Lesson Plan
Curated OER

Limits and Their Properties

For Teachers 9th - 12th
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories...
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Worksheet
Curated OER

Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
Curated OER

Difference of Equations

For Students 11th - 12th
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
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Lesson Plan
Curated OER

Worksheet 5 - Integration

For Teachers Higher Ed
In this integration worksheet, students evaluate the divergence or convergence of improper integrals. They explain limits of functions. In this one-page worksheet, students solve six multi-step problems.
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AP Test Prep
College Board

2014 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...
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AP Test Prep
College Board

2018 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.
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AP Test Prep
College Board

2012 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
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AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
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AP Test Prep
College Board

2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
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Worksheet
Curated OER

Review Questions for Midterm 2

For Students 12th - Higher Ed
For this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
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Worksheet
Curated OER

Calculus Review Worksheet

For Students 11th - Higher Ed
In this review worksheet, students evaluate given limits. They evaluate graphs. This four-page worksheet contains 27 multi-step problems. Answers are provided on pages three and four.
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Lesson Plan
Curated OER

Definition of the Derivative

For Teachers 11th - 12th
Young scholars find the derivatives of functions.  In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Young scholars discuss scenarios in which the...
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Worksheet
Curated OER

Numerical Analysis: Successive Intervals

For Students Higher Ed
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
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Interactive
Curated OER

Review of Calculus BC I

For Students 10th - 12th
In this review instructional activity, learners match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given equations. ...
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Lesson Plan
Curated OER

Graphing Trigonometric Functions

For Teachers 11th - 12th
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Lesson Plan
Curated OER

Algebra II: Exponential Functions

For Teachers 9th - 12th
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.