Lesson Plan
Curated OER

Taylor Polynomial Examples

For Teachers 9th - 12th Standards
Students graph Taylor polynomials. In this calculus instructional activity, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
Lesson Plan
Curated OER

Riemann Rectangle Errors

For Teachers 9th - 12th Standards
Students calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
Lesson Plan
Curated OER

Newton's Method

For Teachers 9th - 12th Standards
Student approximate the roots of E using Newtons Method. In this calculus lesson plan, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
Worksheet
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Limits and Infinity

For Students 11th - 12th
In this calculus lesson, students graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
Worksheet
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Derivatives and Maximum or Minimum

For Students 9th - 11th
In this calculus instructional activity, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
Worksheet
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Estimating Pi as a Length

For Students Higher Ed
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....
Lesson Plan
Curated OER

Wind, Pressure, Force, Calculus and Engineering Connections

For Teachers 12th
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus instructional activity, 12th graders explain the connection between math and engineering. They brainstorm what...
Worksheet
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Periodic Functions

For Students 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving periodic functions.  The three page worksheet contains twenty-three problems.  Answers are not provided. 
Lesson Plan
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The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Young scholars use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Lesson Plan
Texas Instruments

Minimums, Maximums and Zeroes

For Teachers 9th - 12th Standards
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
Lesson Plan
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Filling The Urn

For Teachers 9th - 12th Standards
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
Lesson Plan
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Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Lesson Plan
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Riemann Sums

For Teachers 10th - 12th Standards
Learners calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Lesson Plan
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Gateway Arc Length

For Teachers 9th - 12th Standards
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
Worksheet
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Curve Sketching

For Students 10th - 12th
For 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.
Worksheet
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Timed Caluculus Exam

For Students 10th
In this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
Lesson Plan
Texas Instruments

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Worksheet
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Introduction to Mathematical Modeling

For Students Higher Ed
In this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
Lesson Plan
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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...
Worksheet
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Precalculus Test

For Students 10th - 11th
In this calculus activity, students match cosine values with sine values. They solve trigonometric equations and graph functions. There are 20 questions with a bonus question.
Worksheet
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The Fundamental Theorem

For Students 11th - 12th
In this calculus instructional activity, students solve equations and functions by taking the derivative of each equation. They apply the Fundamental Theorem of Calculus to their problems, as they solve for the limit and identify...
Worksheet
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Easy Worksheet: Domain and Range

For Students 9th - 12th
In this domain and range worksheet, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.
Activity
Illustrative Mathematics

Influenza epidemic

For Teachers 8th - 12th Standards
This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...
Worksheet
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Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.