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Curated OER
Roller Coaster Robot
Students calculate the area under a curve. In this calculus lesson, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
Pennsylvania Department of Education
Freckle Face
Students collect and record data. In this early data analysis lesson, students gather data about their partners face. As a class, the students use tally marks and pictographs to record the data and answer question about the information...
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Practicing Arithmetic
Students practice single operation arithmetic ranging from single digit addition to long division of decimals or real numbers using Graphit. They use data sets and rules to graph ordered pairs.
Curated OER
Review for the Algebra One SOLs
Students review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...
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Curveball vs. Fastball
Students graph the relationship between the release point and the final position of curveballs and fastballs thrown by both right and left handers given a constant speed, and explain the relationships illustrated by the graphs of data.
Curated OER
Chaos and Fractal Applications
Eighth graders identify the different applications of fractals. In this math lesson, 8th graders use graphing calculator to solve algorithms. They explain how changing parameters and initial conditions affect the solutions.
Curated OER
MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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Points in a Complex Plane -- Lecture
Students review plotting points on a coordinate plane. Individually, they add and subtrace complex numbers and graph them in a complex plane. They follow along a worksheet while their teacher lectures on the new material and solve...
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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System of Two Quadratic Inequalities
Students set up and solve a system of quadratic inequalities related to real-world situations.
Curated OER
Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus instructional activity, 12th graders explain the connection between math and engineering. They brainstorm what...
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Calculating Range for a Constant Velocity
Young scholars read an explanation from the NASA Web-based "textbook", The Beginner's Guide to Aerodynamics, then use the information in combination with data from other Web sites to solve single variable equations for distance (range),...
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Lines, Rays, Line Segments, and Planes
High schoolers are introduced to lines, rays, line segments and planes and study the differences between them. They also practice graphing lines, rays, line segments and planes
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Firewood Problem
Students write and solve their own story problems. They determine the cost of firewood by the cord. They organize their data in graphs and charts.
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Systems of Linear Inequalities in Slope-Intercept Form -- Lecture
Middle schoolers are introduced to linear inequalities in slope-intercept form. As a class, they participate when needed in a demonstration given by their teacher and practice graphing inequalities and describing the solution. They set...
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Newton's Third Law and Aircraft Propulsion
Students research propulsion, graph data, and interpret the results.
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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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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Perimeters, Patterns, and Conjectures
Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
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Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
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Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
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Pythagorean Theorem
Students solve right triangles using the Pythagorean Theorem. In this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Students find the hypotenuse given two...
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Words for Algebra
Students rewrite word problems using symbols. In this algebra lesson, students relate algebra to the real world. They identify the correct steps to take when solving word problems.