Emily Kelly

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United States - Texas - Fort Worth
Emily Kelly
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This is a multi-step problem in which students are introduced to a square root function that relates the waterline length of a sailboat with its hull speed. Students are required to fill out a table using a calculator and make a graph. They answer
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This is an activity/notes to help students review graphs of common functions (without a calculator) and to think about limits algebraically and graphically. There are 9 examples on this handout. I am going to do the first 4 together with my AP
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In this problem, students are given three points on the parabolic path of a basketball shot from behind the 3 point arc. They are asked to formulate a quadratic function in order to see if a 4th point (the basket) lies on the curve to see if she
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There are twenty indefinite integral problems involving basic power rule and trig integrals. There is no u-substitution involved. Following the twenty problems there is one related rates problem involving a right triangle with an airplane flying
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This is an assorted set of Riemann sum problems printed back to back on a half sheet of paper. Included are multiple choice questions, an average velocity question, and questions in which students convert to sigma notation from an integral.
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This assignment has questions about function notation. There are 25 problems of various types involving graphs, a data table, evaluating functions for a value of x, and questions involving a real-world situation. The questions are asked in a wide
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I used this exploration with my Algebra 2 students. In this activity, students "discover" the three properties of logarithms by finding patterns that happen when adding logs, subtracting logs, and multiplying by a constant.
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This is an assignment in which students are given two situations in which people are walking toward a sign in front of a school. One situation is given by tabular data; the other is a description. Students are to graph both situations on the same
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This is designed for AP Calculus AB and BC classes that are studying curve sketching and the relationship between graphs of f, f' and f''. On the front, students look at three sets of graphs and label each one f, f' and f''. They are to explain in
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This circuit has 14 questions involving tangent lines, normal lines, instantaneous rates of change and horizontal tangents. Most questions do not require a calculator, but a few do.
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There are two graphs of piecewise functions in this handout. From those graphs, students are given ten limit problems. For each limit problem, they are asked to justify the limit by using one sided limits. I created this activity to introduce
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This homework assignment includes three word problems for which students formulate a system of linear equations, graph them, find the solution from the graph and check their answer. Graphing grids are provided. Also, there are additional homework
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This file consists of 5 graphs of functions for which students are asked to give domain and range in interval notation, as inequalities and in set notation. They also are asked for intervals of x where the function is increasing, decreasing,
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This handout comes with an answer key and includes 6 problems. For each problem, students must first graph a piecewise function or a simple transformation of 1/x. The piecewise functions include sine, cosine, natural log, simple linear functions,
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Students predict which functions grow quickest as x gets large. They fill out a data table using a calculator to compare the relative magnitudes of functions. Then, they order the functions by how quickly they grow. Finally, there are examples of
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Students work to complete 12 long division of polynomials problems. They hunt in the circuit for the answer to the current problem. When they find it, that is the next problem they complete. So, the worksheet is somewhat self-checking. If
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This test has 10 indefinite integrals- some involving trig functions and u-substitution, as well as natural log and exponential functions. It also has two problems in which students are to find particular solutions - one is in the context of
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This short assignment is designed to prepare students for multiple choice questions on the AP test that have to do with finding the limit of a piecewise function that contains a hole. There are four problems in which students first graph the
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