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Why Are Hot Things Red?

For Students 11th - Higher Ed
For this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
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Working with Rates of Change

For Students 8th - 12th
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
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Derivative Exam

For Students Higher Ed
In this college level calculus activity, students determine the derivatives of functions. The two page activity contains twenty-nine problems. Answers are not provided. 
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Related Rate Problems

For Students 11th - 12th
In this calculus instructional activity, learners solve problems that involve related rates.  The two page instructional activity contains twenty-four problems.  Answers are not provided. 
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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. 
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Areas Between the Curves

For Students 8th - 9th
In this algebra instructional activity, students solve and complete 12 problems involving sine, cosine, area and function.
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Local Linearity

For Teachers 8th - 11th Standards
In order to investigate local linearity, young scholars 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.
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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.
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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
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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, high schoolers 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...
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Multiplication Matrix

For Students 3rd - 4th
In this finding the products worksheet, students solve multiplication facts to fill in the blanks in the twelve by twelve grid. Students solve 144 problems. 
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The Law of Sines

For Teachers 11th - 12th
Learners define the laws of sine as it relates to a right triangle. In this trigonometry activity, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.
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Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Mathematics Review

For Students 10th - Higher Ed
In this math review learning exercise, students review for their exam using a variety of worksheets on different topics. There are 34 problems plus some word problems in the learning exercise booklet.    
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Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series activity, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging.
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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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An Introdcution to Derive

For Teachers 12th
Twelfth graders explore Derive.  In this Calculus lesson, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals instructional activity, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function....
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PreCalculus Worksheet

For Students 11th - 12th
In this Pre-Calculus activity, students solve problems that involve determining averages and missing grades and arithmetic series. The three page activity contains ten problems. Answers are not provided. 
Lesson Plan
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Exponential Equations and Functions

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...
Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...

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