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Inflection Points
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
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Polygons
In this polygons worksheet, 10th graders solve 18 various types of problems related to different forms of polygons. First, they state the number of sides for each convex polygon and then, use the polygon shown to respond to each of 6...
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Worksheet 13: Slope and Concavity
In this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.
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Worksheet 6: Derivative & Slope
In this derivative and slope activity, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page activity contains seven multi-step problems.
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Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
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Comparison of Images Formed by Plane, Cylindrical (concave side), and Spherical (concave side) Mirrors
Young scholars study mirrors and see how images can be reversed. For this reflection lesson students demonstrate that all mirrors reverse images and that the apparent right to left reversal in a plane mirror is a result of that reversal.
Physics LAB
Diverging Lens Vocabulary
For this lens worksheet, learners explore the images that are produced through different types of lenses such as a single lens or a convex or concave lens. This worksheet has 10 multiple choice and 4 fill in the blank questions.
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Worksheet #5, Concavity,
For this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
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Exploring the Landscape
Young scholars determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.