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Lesson 2-5: Absolute Value Functions and Graphs
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and...
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Maximum/ Minimum Problems
In this optimization activity, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
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Worksheet 23 - Directional Derivative
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
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Easy Worksheet: Maximizing Volume
For this maximizing volume worksheet, students solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. Students determine the time at which the object in motion reaches its...
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Curve Sketching Review Worksheet
In this curve sketching worksheet, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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Maximum and Minimum of Functions
In this calculus activity, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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Lesson 10-6: Using the Quadratic Formula
In this quadratic formula worksheet, learners solve 5 quadratic problems. Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
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Intervals
In this intervals worksheet, high schoolers determine the coordinates at a point of inflection. They compute the deritative of a function and sketch curves that satisfy given conditions. Students solve equations using the...
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Froot Loops to the Max - 4
For this Froot Loops to the Max worksheet, 5th graders solve and complete 4 different problem related to counting a box of Froot Loops cereal. First, they determine how many of each color listed there is in the box. Then, students...
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Froot Loop to the Max - Ordered pairs
For this Froot Loop to the Max worksheet, students complete 21 different sets of ordered pairs. They plot each of the ordered pairs listed on the sheet, connecting them in order from #1 through #21. Then, students determine whether it is...
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Froot Loops to the Max- Pie 2
In this Froot Loops to the Max worksheet, students solve 2 different problems related to graphing data with a box of Froot Loops cereal. First, they complete the circle/pie graph using the given data including a key and a title for their...
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Froot Loops to the Max - Nutrition Worksheet
In this nutrition worksheet, students solve 10 various problems related to reading the nutritional panel on the side of a box of Froot Loops. They determine how many cups are needed to achieve a certain amount of calories. Then, students...
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Box and Whisker Plots
Seventh graders explore the concept of box and whisker plots. In this box and whisker plots lesson, 7th graders plot data on a box and whisker plot. Students discuss the mean, median, and mode of the data. Students discuss range,...
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Practice Test for Midterm: Partial Derivatives
In this partial derivatives worksheet, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
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Absolute Value Equations
In this absolute value equations worksheet, students solve 10 different problems that include various absolute value equations. First, they split the equations into its two possible cases, one case for each sign, and remove the bars....
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Absolute Value and Equations - Week 5
In this absolute value worksheet, students use the absolute value function to solve functions. They identify the maximum and minimum values in triangular inequalities. This two-page worksheet contains eight problems.
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Worksheet 12: Relative Maximum and Minimum
In this relative maximum learning exercise, learners determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page learning...
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Worksheet 15: Velocity
In this velocity worksheet, learners read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page worksheet contains seven multi-step problems.
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Finding Roots and Newton's Method
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Challenge Sheet 9: Improper Integrals
For this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
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The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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Applied Maximum/Minimum Problems
In this maximum and minimum learning exercise, students determine the dimensions of given figures inscribed within other figures or within graphs. This one-page learning exercise contains seven dimension problems.
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Complex Analysis: Homework Set 6 - Cauchy's Residue Theorem
In this residue theorem worksheet, students find the maximum and minimum values of functions. They use Cauchy's Residue Theorem to evaluate integrals of functions. This two-page worksheet contains eleven multi-step equations.