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Worksheet
Curated OER

Complex Analysis: Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Worksheet
Curated OER

Math 312. Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...
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Worksheet
Curated OER

Complex Analysis: Analyticity and Harmonic Functions

For Students Higher Ed
In this harmonic function learning exercise, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page learning exercise...
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AP Test Prep12:32
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Flipping Physics

AP Physics 1: Simple Harmonic Motion Review

For Students 11th - 12th
Does your class feel unprepared for the upcoming exam? Use this video to review the simple harmonic motion concepts that will appear on the AP Physics exam. While maintaining interest and a fast pace, the presenter not only reviews the...
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Interactive
Physics LAB

Practice with Simple Harmonic Motion

For Students 9th - 12th
In this simple harmonic motion worksheet, students are given a diagram of a harmonic oscillator and they answer 9 questions about the oscillator's velocity, acceleration, amplitude and they write the functions of each of these measurements.
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Worksheet
Curated OER

Math 312 Spring 2004: Harmonic Conjugates

For Students Higher Ed
In this harmonic conjugates worksheet, students demonstrate the use of Cauchy-Riemann equations and harmonic functions. They find the imaginary part of a function, show the harmonic conjugates of an equation, and map images. This...
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Lesson Plan
Curated OER

Simple Harmonic Motion

For Teachers 10th - 12th
Students solve problems involving graphs. In this calculus lesson plan, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Lesson Plan
Curated OER

The Unit Circle

For Teachers 9th - 11th
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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Worksheet
Curated OER

Complex Analysis: Rectangular Form

For Students Higher Ed
In this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
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Interactive
Open Colleges

Your Brain Map: Strategies for Accelerated Learning

For Students 9th - 12th
The brain is a complex organ with many different structures and functions. An interactive diagram allows learners to explore the different structures while pop-ups describe their functions. Secondary interactives show the structures of...
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Worksheet
Curated OER

Complex Analysis: Complex Variables

For Students Higher Ed
In this complex variable worksheet, students find the harmonic function of a problem. This two-page worksheet contains explanations and examples, as well as three problems.
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Handout
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas. 
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Lesson Plan
Curated OER

Motion of a Bouncing Ball

For Teachers 12th
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Lesson Plan
Curated OER

Listen Up: Antigone Rising

For Teachers 9th - 12th
Upper graders listen to and watch a documentary about an all female group Antigone Rising. They discuss how females are portrayed in the rock world, the type of music they play, their song lyrics, and what they note in the documentary....
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Lesson Plan
Curated OER

The Unit Circle

For Teachers 9th - 12th
High schoolers relate the trigonometric functions to the coordinates of the unit circle. They classify trigonometric functions as odd or even. Students determine the signs of trigonometric functions in each quadrant. They are...
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Worksheet
Curated OER

Clock Problem

For Students 10th - 11th
In this algebra worksheet, students observe and identify different parts of a clock using a quadratic function. Their goal is to find two errors in the clock by solving the equation for its roots.
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Lesson Plan
Curated OER

Limits

For Teachers 7th - 10th
Learners analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.
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Lesson Plan
Curated OER

Series Solution of the Time-Independent Schrödinger Equation

For Teachers 11th - Higher Ed
In this math worksheet, students find the solutions to the problems that apply the time-independent Schrödinger equation. They examine the relationship between the mass and energy.
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Lesson Plan
Curated OER

Around the World At 30o North Latitude

For Teachers 4th - 8th
Reinforce the use of an atlas and reference materials with writers. They discover how geographic location can make living easier or harder. They draw an assigned journey on a map, categorize survival needs, and prioritize options during...
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Lesson Plan
Curated OER

Jazz In America - Lesson Plan 8

For Teachers 5th
Fifth graders explore the current jazz scene and how it reflects American culture. They listen to jazz recordings of current artists and speculate on which direction jazz is likely heading.
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Lesson Plan
Curated OER

Building Canons on Pachelbel's Canon in D

For Teachers 5th - 12th
Learners demonstrate the structure of a canon by composing melodies and variations over Pachelbel's Theme from the Canon in D. Requires a networked keyboard lab and computers.
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Lesson Plan
Curated OER

From Bats to Babies: Ultrasound

For Teachers 9th - 12th
Students research and analyze sound waves and how an ultrasound works to image a baby in utero. They explore various websites, complete worksheets, and write a paragraph describing a demonstration they view in the classroom.
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Lesson Plan
Curated OER

Pendulum 2

For Teachers 11th - 12th
Young scholars use math to help them discover the movement of a pendulum.

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