Curated OER
Geometry In Space
How can we identify shapes in the Universe? High schoolers will compare and contrast elliptic and hyperbolic geometry. They will also explore one possible way to measure the curvature of the Universe, namely, by measuring the sum of the...
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Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
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Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas instructional activity, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds...
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Investigating Velocity Effects at Takeoff
Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.
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A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
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The Geometry of Real Images
In this math worksheet, students read the examples for using the techniques of mathematical modeling. They draw the angles in order to simulate the reflection of light while using a concave mirror.
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Worksheet 21 Spring 1996
In this math activity, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 25- Spring 1996
In this math worksheet, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
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The Lift Equation
Students use the FoilSim educational software program to complete an activity regarding lift. They solve a multivariable equation for each of the variables and apply the results to various problems in different situations.
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Math: Will The Airplane Get Off the Ground?
High schoolers use data from real-life models to calculate and compare the force required for an airplane of a given weight to become airborne. They use a graphing calculator to evaluate data and use the World Wide Web to access data.
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Circle Packing
Students identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
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Lift vs. Airspeed
Students, after reading the explanation given below, use FoilSim and a graphing calculator to complete the activity to determine the relationship between airspeed and lift of an object by interpreting data.
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Wind Gauges
Students use FoilSim interactive software to become familiar with the way in which the flow of air across or around an airfoil affects its ability to create lift.
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Wing Shapes and Areas
Students, after reading the explanation given below, use FoilSim to determine the weight of the aircraft that can be lifted by a pair of wings of each type. They also design a unique platform of a wing to lift a plane weighing 11500 pounds.
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Characteristics of Lift and Wing Area
Students use FoilSim to complete the activity and investigate the factors that affect lift and how wing area and lift are related.
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Using 3-D Models for Code Validation with FoilSim
High schoolers use FoilSim to complete the activity to create tables of data sets comparing the lift values for a 3-D model of a symmetrical wing section to the values predicted by the FoilSim software.
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Lift Equation Problem Set
Students, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by using it, along with FoilSim, to complete an activity to graph and interpret the lift equation.
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Wing Area Effects Problem Set
Students read an explanation from a NASA Web-based textbook on lift and an explanation on the FoilSim software package given below. They use FoilSim to evaluate the relationship between wing area and lift.
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Velocity Effects Problem Set
Students, after reading an explanation on lift from a NASA Web-based textbook and an explanation on the FoilSim software package given below, use FoilSim to evaluate the relationship between velocity and lift.
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How Far And How Long Will It Take
Students use a ruler to determine length and then fit the unit to a scale in miles. This unit will also give a geological awareness of altitude and the difference it makes in travel time. The travel time with Mapquest will obviously be...