Curated OER
Math 53 – Practice Midterm #1
In this math worksheet, students find the length of the curve given in the polar coordinates. They also evaluate the functions and simplify them.
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
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Polar and Cartesian Coordinates
Young scholars review polar coordinates, as well as translations and rotations in Cartesian Coordinates. They also watch a video on conics and write a summary of the video for a quiz grade. Students then find an equation after a...
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Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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Conversion Between Polar And Cartesian Coordinates
Students engage in a lesson that is concerned with the conversiojn between Polar And Cartesian Coordinates. They convert betwen polar and cartesian equations. Students develop the conversion formula through review of previoius material.
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Lesson #163 Conversion Between Polar and Cartesian Coordinates
Students are shown the conversion formula. In this conversion between polar and cartesian coordinates lesson, students are presented with a formula for converting between two types of coordinates. Two examples are included in the lesson....
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Navigation, Working With Coordinates
Middle schoolers view a polar view map and discuss ways of telling locations on the map. They view a copy of the map superimposed on a coordinate grid, then discuss ways of telling the locations. Students practice as a class and then...
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Matrix Madness!!
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...
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Geometry: Practical Applications of the Distance Formula
Students, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...
EngageNY
Curves in the Complex Plane
Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex...
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Ecological Cycles Part 1
Knowing about the hydrologic cycle is the first step to understanding the carbon cycle. Upper graders discuss the earth's water content, polar ice caps, and the concept of the ecological cycle as it applies to carbon, nitrogen, and other...
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Worksheet 35-Spring 1996
In this math worksheet, students sketch six integrals and rewrite the equations as double integrals with reversed integration orders. Students evaluate four integrals. They sketch all points on a coordinate plane when given complex...
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
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X Marks the Spot
Fourth graders use games and puzzles to explore co-ordinate systems and their uses. Students are given the opportunity to invent their own systems by locating counters on a sheet of paper and by finding the dead center of a set of objects.
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"Vary" Bright Days
Students explore how the Earth's axial tilt and revolution around our sun lead to differences in day length through the year. In groups, they create and use a model of the earth on its axis to demonstrate the concepts.
Physics Classroom
A Critical Lab
Physics lab groups finagle with laser lights to determine the critical angle of refraction for both water and Lucite. Because there are no detailed steps or an answer key for this enlightening exercise, an inexperienced physics...
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Worksheet 36
In this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....
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The Solar System
Students construct a sketch of the planets in our solar system using concentric circles and angles. In this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is included...
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Virus and Bacteriophage
Students examine the differences between a virus and a bacteriophage. They explore various websites, identify the parts of a virus and a bacteriophage, and construct a model of a virus or bacteriophage.
Polar Trec
The Amazing Antarctic Trek
This resource provides two ways to engage learners in using latitude, longitude, and research skills. In pairs, or on their own, learners will locate several Antarctic regions on a map. They will write the name of the place and a few key...
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Creating Climographs
Young scholars use satellite data to compare precipitation and surface temperatures on different islands. In this satellite instructional activity students create graphs and explain the differences between weather and climate.
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Vector Manipulation Unit
Students are introduced to the concept/idea of a vector, what it represents and why they are used. They develop an understanding of what vectors are, how and why they are used.
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Ellipses And Kepler's First Law
High schoolers explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.
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Vectors Via the Calculator
Eighth graders resolve vector problems without the knowledge of math. In this vectors lesson students with poor math skills get a chance of passing the course.
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