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Worksheet
Curated OER

Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula instructional activity, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page instructional activity contains three problems.
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Worksheet
Curated OER

Math 312 Spring 98. Contour Integration

For Students Higher Ed
In this contour integration worksheet, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page worksheet contains three problems.
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Lesson Plan
Curated OER

More of DeMoivre's Theorem

For Teachers 10th - 11th
Students identify DeMoivre's Theorem. In this precalculus lesson, students derive the law of sine and cosine as it relates to DeMoivre's Theorem. They identify the best time to use these formulas.
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Lesson Plan
Curated OER

Law of Sines and Cosines

For Teachers 10th - 11th
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
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Lesson Plan
Curated OER

Sine and Cosine

For Teachers 11th - 12th
Students solve problems using sine and cosine. In this precalculus lesson, students solve word problems using sine and cosine. They identify where it is appropriate to laws of sine and cosine and where to use the Pythagorean Theorem.
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Lesson Plan
Curated OER

Law of Sine and Cosine

For Teachers 9th - 10th
Students solve problems using the law of sine and cosine. In this precaclulus lesson, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.
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Worksheet
Curated OER

Law of Sines and Law of Cosines

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students use the laws of sines and cosines to solve triangles. The four page worksheet contains thirteen problems. Answers are not included.
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Lesson Plan
Curated OER

Conic Sections

For Teachers 10th - 12th
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
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Worksheet
Curated OER

Population Models and Qualitative Analysis, Part 2

For Students Higher Ed
In this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
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Lesson Plan
Curated OER

Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Worksheet
Curated OER

PreCalculus: Final Examination

For Students 10th - 12th
For this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80 problems.
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Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
For this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Worksheet
Curated OER

The Quadratic Formula

For Students 11th
In this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have.  The two page worksheet contains...
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Lesson Plan
Curated OER

Finding the Vertex of a Quadratic Function

For Teachers 9th - 10th
Pupils solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Lesson Plan
Curated OER

Identities and Trigonometric Values

For Teachers 9th - 11th
Young scholars solve trigonometric equations. In this precalculus instructional activity, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different...
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
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Lesson Plan
Curated OER

SHHH It's a Secret

For Teachers 8th - 10th
Students rewrite word problems using expressions and equations. In this algebra lesson, students use the correct variable to solve and write equations. They use the TI to graph their solution.
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AP Test Prep
College Board

Why We Use Theorem In Calculus

For Teachers 11th - Higher Ed
Young scholars read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they...
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Worksheet
Curated OER

Patterns

For Students Higher Ed
For this college level algebra worksheet, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern.  The one page worksheet contains five questions.  Answers are provided. 
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Lesson Plan
Curated OER

Parabolas in Flight

For Teachers 9th - 12th
Students utilize a trajectory formula in order to discover the physics of a thrown ball.  In this physics lesson, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the video down...

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