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Introduction To Polar Coordinates
Learners investigate the polar coordinate system and practice plotting using Cartesian Coordinates. They find the angle and the radius and plot them while comprehending the ordered pairs using the x and y axis. The lesson includes...
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Conversion Between Polar And Cartesian Coordinates
Students engage in a instructional activity 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...
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Area Between Two Curves
Learners engage in a lesson that is concerned with the concept of computing the area between 2 curves with respect to the x and y axis. They concentrate on using positive and negative intervals and find the curve while determining the...
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Volumes of Solids of Revolution (Shell Method)
Students engage in a lesson that is concerned with finding the volume solids of revolution using the Shell Method. They compute the volume when using a variety of different problems. Students examine the solids in relation to rotating...
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Ellipses
Students investigate the concept of ellipses and how they are used in a variety of geometry problems with a focus upon writing an equation given certain criteria. They draw an ellipse while developing the equation examining the x and y...
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Hit the Slopes
Eighth graders work in one collaborative group to understand how ordered pairs are represented and graphed on a coordinate plane. They identify points on the coordinate plane and communicate their understanding of ordered pairs and their...
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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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Reflections of a Linear Function
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the...
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Points In the X-Y Plane
Young scholars plot points on the x-y plane using x and y coordinates and describe how the x and y values relate to the position of the point on the plane. They plot points that fit a linear relationship. They explain that their...
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Points in the X-Y Plane
Young scholars plot points on the x-y plane using x and y coordinates. They describe how the x and y values relate to the position of the point on the plane. Finally, students plot points that fit a linear relationship and summarize that...
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Locating Patterns of Volcano Distribution
Students examine patterns of volcanic distribution worldwide, use tables to plot and label location of each volcano on map, lightly shade areas where volcanoes are found, and complete open-ended worksheet based on their findings.
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Navigation, Working With Coordinates
Students 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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What a Site!
Fourth graders are introduced to how to properly create a grid site. In groups, they use Cartesian coordinates to establish the boundaries for the grid and photograph the location of artifacts. They exchange their photos with another...
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Measurement and the Illampi Mound Colony
Students comprehend the basic units of measurement, scale, plotting, and basic grids. Students practice their estimation
and measuring skills and will demonstrate their ability to work well in groups.
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A Message in a Bottle
Learners investigate the motion of water currents by mapping the possible movement of messages cast into the ocean in bottles.They accurately plot the appearance of bottles on a world map and illustrate the flow of an ocean current...
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Three D Constellations
Students are introduced to both celestial coordinates and to the first rung on the distance determination ladder. They convert spherical coordinates to Cartesian coordinates to construct a three dimensional model of a constellation...
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TE Activity: Nidy-Gridy
Students make a grid and coordinate system map of their classroom as they investigate why it is important to have a common map making system. They look at how landmarks are used for navigating an area.
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The Next Dimension
Young scholars explore the three dimensional Cartesian coordinate system and discuss how it is important for structural engineers in order to be able to describe locations in space to fellow engineers. They participate in a hands-on...
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Create a Quadrant Instructions for Teachers
Students, who are teachers, discover how to make a quadrant in their classrooms. They use the given pattern to make the tool which they would have their students research.
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Science: Hurricanes As Heat Engines
Students conduct Internet research to track the path of Hurricane Rita. They record the sea surface temperature of the Gulf of Mexico during and after the hurricane and draw conclusions about how hurricanes extract heat energy from the...
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Cartesian Baseball
Learners examine the characteristics of a Cartesian coordinate system. They use the game of baseball to help reinforce the topic. They develop a coordinate system for the desks in their classroom.
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Where Am I?
Students identify the latitude and longitude of various locations and calculate the distance between two given coordinate points. They read an eBook, explore the City Zen program, and complete a worksheet.
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Plotting Rectangular Coordinates
Students practice plotting coordinates on a flat surface or plane. The coordinates can be identified and labeled. An interesting variation of this process is made in the lesson when the position of holes made by thrown darts are plotted.