Worksheet
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Partial Fraction Review Problems

For Students Higher Ed
In this college Calculus worksheet, students determine the value of the integrals using partial fractions.  The one page worksheet contains six problems.  Answers are not included. 
Worksheet
Curated OER

Math 305 Handout 2

For Students Higher Ed
In this college level calculus worksheet, students determine if the given equation is linear and determine the order of the equation.  The one page worksheet contains forty-three problems.  Answers are provided. 
Worksheet
Curated OER

Curve Sketching

For Students 11th - 12th
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
Lesson Plan
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Secant and Tangent Lines

For Teachers 12th
Twelfth graders recognize the use of the slope of the secant line and connect it with the graph of the secant line, as the secant line approaches the tangent line. They also recognize the two forms of the slope formula used and practice...
Lesson Plan
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Worksheet 24 Spring 1996

For Teachers 11th - Higher Ed
In this math worksheet, learners find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
Assessment
1
1
Balanced Assessment

A Sharper Image

For Students 11th - 12th
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, learners...
Worksheet
Curated OER

Class, Take Your Seats

For Students 11th - 12th
For this calculus worksheet, students use the given clues to determine the location of each student on a seating chart. The one page worksheet contains twenty questions. Answers are not provided. 
Worksheet
Curated OER

Limits

For Students 12th
In this Calculus worksheet, 12th graders solve problems in which they simplify limits.  The three page worksheet contains nineteen problems.  Answers are not included. 
Worksheet
Curated OER

Derivative Exam

For Students Higher Ed
In this college level calculus worksheet, students determine the derivatives of functions. The two page worksheet contains twenty-nine problems. Answers are not provided. 
Worksheet
Curated OER

Related Rate Problems

For Students 11th - 12th
In this calculus worksheet, students solve problems that involve related rates.  The two page worksheet contains twenty-four problems.  Answers are not provided. 
Worksheet
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Integration

For Students 12th - Higher Ed
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums.  The one page worksheet contains twenty-three problems.  Solutions are not provided. 
Lesson Plan
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Local Linearity

For Teachers 8th - 11th Standards
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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.
Lesson Plan
Curated OER

Sign of the Derivative

For Teachers 9th - 12th Standards
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
Lesson Plan
Texas Instruments

Graphical Derivatives

For Teachers 9th - 12th Standards
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
Lesson Plan
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Higher Order Derivatives

For Teachers 9th - 12th Standards
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, learners create a visual of what is happening with the equation.
Lesson Plan
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Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Lesson Plan
Curated OER

Derivatives of the 6 Inverse Trig Functions

For Teachers 11th - 12th
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, young scholars derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Worksheet
Curated OER

Using a "Natural Function" not a equation to discuss derivatives

For Students 12th - Higher Ed
In this derivative instructional activity, students relate the concept of the derivative to the "real world" model of seasons.  Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of...
Lesson Plan
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A.P. Exam Review

For Teachers 9th - 12th
High schoolers engage in a instructional activity that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the...
Lesson Plan
Texas Instruments

Confectionery Delight

For Teachers 9th - 12th Standards
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Lesson Plan
Texas Instruments

Quartic Regions

For Teachers 9th - 12th Standards
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Lesson Plan
Texas Instruments

Cylindrical Soda Can

For Teachers 10th - 12th Standards
Young scholars explore an application of differentiation in this calculus lesson plan. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has...
Lesson Plan
Curated OER

The Derivative as a Limit

For Teachers 9th - 12th Standards
Students investigate derivatives. In this calculus lesson, students investigate the derivative as a limit through the use of the TI-89.

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