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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
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Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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Worksheet
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University of Adeaide

Basic Trigonometry and Radians

For Teachers 9th - 12th Standards
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
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Lesson Plan
Curated OER

Highs and Lows

For Teachers 8th - 11th
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Lesson Plan
Curated OER

Little Red Corvette

For Teachers 11th - 12th
Young scholars investigate the acceleration of a car.  In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data.  Young scholars find a model to fit the data by taking the integral of the curve...
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Interactive
Curated OER

Word Problems

For Students 10th - 11th
In this calculus learning exercise, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
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Worksheet
Curated OER

The Io Plasma Torus

For Students 11th - 12th
In this plasma torus learning exercise, learners solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of...
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Worksheet
Curated OER

Matrices

For Students 9th - 10th
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Lesson Plan
Curated OER

Roller Coaster Robot

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Lesson Plan
Curated OER

What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Young scholars take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
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Worksheet
Curated OER

Worksheet 23

For Students 11th - Higher Ed
In this math activity, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math instructional activity, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet
Curated OER

The Pink Panther

For Students 11th - 12th
In this calculus worksheet, learners use tangrams to create different shapes and patterns. They relate each segments to a trigonometric identity with its integral.
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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 activity, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real...
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Worksheet
Curated OER

Challenge Sheet 2: Evaluate Functions

For Students Higher Ed
In this function activity, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page activity contains seven problems.
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Worksheet
Curated OER

Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Worksheet
Curated OER

Basic Calculus II: Techniques of Integration

For Students Higher Ed
For this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Worksheet
Curated OER

Trig Identities and Antiderivatives

For Students 11th - Higher Ed
In this math worksheet, students investigate the use of the trigonometric identities and the antiderivatives. They are asked to memorize the identities.
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Lesson Plan
Curated OER

Engineering in a Calculus Classroom

For Teachers 11th - 12th
Young scholars solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Lesson Plan
Curated OER

Quiz On Basic Integration Formulas

For Teachers 9th - 12th
Young scholars participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as...
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Lesson Plan
Curated OER

Video On Integration And Quiz On Induction

For Teachers 10th - 12th
Students engage in a lesson that is concerned with the concepts of integration and induction. They view a video about integration and take a quiz on induction. Students use the resource links to view information added to the lesson to...
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Worksheet
Curated OER

Multivariable Calculus

For Students Higher Ed
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.
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Interactive
Curated OER

Review of Calculus

For Students 12th
For this calculus worksheet, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving.  The one page interactive worksheet contains forty-eight questions and is self...