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Product Rule

For Teachers 11th - Higher Ed
Students define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving...
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Sequences and Series

For Students 9th - 11th
In this sequencing learning exercise, students solve problems with sequences and series. They derive formulas to solve word problems and receive specific points for doing so. There are 8 questions with an answer key.
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Trigonometric Identities

For Students 11th - Higher Ed
In this trigonometry worksheet, students derive the 6 different trigonometric identities. They use the identities to solve problems by multiplication of trig ratios. There are 102 trig questions to be solved.
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New Functions From Old, Part 1

For Students Higher Ed
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. In this calculus lesson plan, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
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Implicit Differentiation

For Teachers 11th - 12th
Students define and use implicit differentiation to solve equations. In this calculus lesson plan, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
Worksheet
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Integrations Applications

For Students 11th - 12th
For this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
Worksheet
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Power and Maclaurin Series

For Students 11th - 12th
In this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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The Quadratic Formula

For Teachers 9th - 10th
 Students derive the quadratic formula. In this algebra lesson, students use the quadratic formula to solve equations and identify the roots of a quadratic equation. They graph their parabola and analyze it.
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Trapezoid and Midpoint Rule

For Teachers 9th - 11th
Learners solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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How Far Am I Traveling

For Teachers 9th - 11th
Students solve for missing sides using the Pythagorean theorem. In this algebra lesson, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
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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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Unit Circle and Triangle

For Teachers 9th - 11th
Learners apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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The Shortest Distance

For Teachers Higher Ed
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Kansas Foods A Data and Probability Investigation

For Teachers 3rd - 4th
Students study a number of food products and anticipate which are derived from Kansas crops. They make a list of words associated with the food stuffs and graph the results.
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Transformations

For Teachers 10th
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
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Thinking Systematically

For Teachers 6th
Sixth graders solve real life mathematics problems. After reading a given problem, 6th graders gather and organize data into a table. They explore a pattern, and from this, derive a formula. Students solve the problems multiple ways...
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Tangram Perimeters

For Teachers 6th - 8th
Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.
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Algebra, Multiplication, and Division of Fractions

For Teachers 5th - 7th
Students gain knowledge by measuring time and distance for solving unknowns in an equation. They also will design an airplane and chance to communicate mathematically by writing essays.
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Surface Area and Volume of a Cube

For Teachers 7th - 12th
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...
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Minimize Perimeter

For Teachers 6th - 8th
Students practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area. They use...
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Patterns in Fractals

For Teachers 8th - 10th
Students explore the concept of fractal patterns. In this fractal pattern instructional activity, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Students derive the fractal pattern...
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Physics: Eigenvalues

For Teachers 6th - 12th
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Inching Our Way Into The Metric System

For Teachers 6th - 8th
Learners investigate the Metric System. They discuss the history of the Metric System, convert various units of measurement into the Metric System, and solve problems on a spreadsheet.