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\n\"Teaching\n\n
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\nTeaching the Scientific Method through Exploration of Bacteria and Antibiotics\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents explore scientific method and scientific investigation They conduct an investigation using bacteria and antibiotics. In addition, they verbalize their experimental results.\n
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Lesson Plan
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\n\"Why\n\n
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\nCurated OER\n
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\nWhy Rules or Laws\n

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\n\nFor Teachers\n\n6th\n
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\nHere’s a fresh approach to establishing classroom rules at the beginning of the school year. Class groups brainstorm what they know about rules for baseball, basketball, and football. They then consider how the games would differ without...\n
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Lesson Plan
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\n\"Drinking\n\n
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\nCurated OER\n
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\nDrinking Water and Water Purification\n

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\n\nFor Teachers\n\n6th\n
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\nSixth graders design experiments to compare the amount of bacteria in river water to the amount in purified tap water. They explore how water purification removes bacteria and pollution from the water. Students examine the steps of the...\n
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Lesson Plan
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\n\"Adventures\n\n
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\nAdventures in Earth Day: Why Do We Care About Our Environment? - Biology Teaching Thesis\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nMiddle schoolers are introduced to Earth Day and the importance of this day. They make a collage, students can use articles, pictures, words, etc., in magazines or newspapers or online, that relate to Earth Day, the environment and...\n
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Lesson Plan
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\n\"Earth\n\n
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\nEarth Day: a Look Into the World Around Us\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents develop an artwork made entirely out of recycled materials to exhibit during an Earth Day celebration. They participate in a lecture discussion on the history of Earth Day and environmental issues, do internet research on a...\n
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\n\"Enzymes\n\n
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\nCurated OER\n
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\nEnzymes and Catalysts\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents discuss the functioning of the digestive system and the specific enzymes present. They observe the action of amylase on starch to identify characteristics of enzymes then perform an experiment on the effects of temperature on...\n
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Worksheet
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\n\"Complex\n\n
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\nComplex Analysis: Residues and Real Integrals\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integral learning exercise, students evaluate contour integrals and real integrals. This two-page learning exercise contains approximately three problems. Some explanations and definitions are provided.\n
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\n\"Complex\n\n
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\nComplex Analysis: Compute Residues\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Functions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this function worksheet, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page worksheet contains explanations and examples, with...\n
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\n\"Complex\n\n
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\nComplex Analysis: Improper Integral\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this improper integral worksheet, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page worksheet contains explanations...\n
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\n\"Complex\n\n
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\nComplex Analysis: Cauchy's Residue Theorem\n

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\n\nFor Students\n\nHigher Ed\n
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\nFor this residue theorem worksheet, students find the poles of a function classify all singularities of a function, and compute the residues of that function. This two-page worksheet contains explanations and examples, as well as five...\n
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\n\"Complex\n\n
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\nComplex Analysis: Linear Transformations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Contour Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Complex Functions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.\n
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\n\"Complex\n\n
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\nComplex Analysis: Linear Transformations, Inversion Mappings\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this transformation worksheet, students identify a series of transformations and sketch them. They use inversion mapping to establish a one-to-one correspondence between nonzero points. This four-page worksheet contains...\n
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\n\"Complex\n\n
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\nComplex Analysis: Examples of Contour Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Theorems Following Cauchy's Integral Formulas\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...\n
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\n\"Complex\n\n
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\nComplex Analysis: Applications and Implications of Cauchy's Integral Formula\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integral learning exercise, students explore various theorems used to evaluate integrals. This two-page learning exercise contains theorem explanations and two problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Cauchy's Integral Formula and Integral Examples\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Understanding Contour Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Applications of Cauchy-Goursat\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Cauchy-Goursat worksheet, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page worksheet contains approximately six problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Path Independence\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this path independence worksheet, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page worksheet contains approximately 5 problems.\n
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\n\"Complex\n\n
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\nComplex Analysis: Homework Set 5: Domain\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.\n
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\n\"Complex\n\n
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\nComplex Analysis: Polynomial Equations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this polynomial equations activity, students evaluate roots and draw vector representations. This three-page activity contains four problems.\n
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