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Teaching the Scientific Method through Exploration of Bacteria and Antibiotics
Students explore scientific method and scientific investigation They conduct an investigation using bacteria and antibiotics. In addition, they verbalize their experimental results.
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Why Rules or Laws
Here’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...
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Drinking Water and Water Purification
Sixth 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...
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Adventures in Earth Day: Why Do We Care About Our Environment? - Biology Teaching Thesis
Students 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 environmental...
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Number Games
Students play a variety of games to explain multiples and practice their multiplication skills.
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Earth Day: a Look Into the World Around Us
Students 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...
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Enzymes and Catalysts
Students 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...
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Complex Analysis: Residues and Real Integrals
For this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
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Complex Analysis: Compute Residues
In this residue learning exercise, students use the Laurent series formula to compute residues. This two-page learning exercise contains five problems.
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Complex Analysis: Functions
In 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...
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Complex Analysis: Improper Integral
In 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...
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Complex Analysis: Cauchy's Residue Theorem
In 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...
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Complex Analysis: Linear Transformations
For this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.
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Complex Analysis: Contour Integration
In this contour integration activity, students integrate formulas, sketch the contour and evaluate the integral. This two-page activity contains approximately eight problems.
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Complex Analysis: Complex Functions
In 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.
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Complex Analysis: Linear Transformations, Inversion Mappings
In this transformation learning exercise, 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 learning exercise...
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Complex Analysis: Examples of Contour Integration
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Theorems Following Cauchy's Integral Formulas
In 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. ...
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Complex Analysis: Applications and Implications of Cauchy's Integral Formula
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
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Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Complex Analysis: Understanding Contour Integration
In this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Applications of Cauchy-Goursat
In 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.
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Complex Analysis: Path Independence
In this path independence activity, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page activity contains approximately 5 problems.
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Complex Analysis: Homework Set 5: Domain
In this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.