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Worksheet
Curated OER

Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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Worksheet
Curated OER

Three Methods for Using Quadratic Functions to Model Data

For Students 10th - 12th
In this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the maximum or...
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Lesson Plan
Curated OER

Worksheet 26 - Function

For Teachers 9th - 10th
In this function worksheet, students identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
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Worksheet
Curated OER

The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
In this second derivative activity, 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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Worksheet
Curated OER

Rate Equations: Equilibrium and Inflection Values

For Students 12th - Higher Ed
In this rate equation, learners are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Worksheet
Curated OER

Measures of Central Tendency

For Students 8th - 9th
In this measures of central tendency worksheet, students solve and complete 6 different problems. First, they count the number of items in each set of data. Then, students determine the mean, median and mode for each. In addition, they...
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Lesson Plan
Curated OER

Worksheet 23 - Directional Derivative

For Teachers Higher Ed
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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Worksheet
Curated OER

Absolute Value Equations

For Students 8th - 9th
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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Worksheet
Curated OER

Systems of Linear Inequalities #5

For Students 9th - 12th
In this systems of linear inequalities worksheet, students solve 10 multiple choice problems about linear inequalities.  Students determine the maximum and minimum values of systems of linear inequalities.
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Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
For this domain and range worksheet, students examine functions and identify the range of a function.  They find the maximum and minimum value of a function.  This two-page worksheet contains 7 multiple-choice problems.  Answers are...
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Lesson Plan
Curated OER

Reading, Writing, and Ordering Numbers

For Teachers 4th - 6th
Young scholars study place value. Students participate in place value and number relay games, write numbers in words, and discuss how numbers are read. As a class, they discuss the meaning of less than and grater than signs. Young...
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Worksheet
Curated OER

Linear Programming

For Students 9th - 12th
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
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Worksheet
Curated OER

MATH 155 - Worksheet 11. Limits

For Students Higher Ed
In this limits worksheet, students find the limits of given equations. They find the absolute maximum and absolute minimum values of a function. This two-page worksheet contains four problems.
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Lesson Plan
Curated OER

Min/Max Problems - Week 13

For Teachers 10th - 12th
In this minimum and maximum worksheet, student find the maximum and minimum values of given functions. They determine the largest and least altitude of a scalene triangle under given conditions. Students find the largest value of pairs...
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Worksheet
Curated OER

Curve Sketching Review Worksheet

For Students 11th - 12th
In this curve sketching instructional activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Worksheet
Curated OER

Applications of Derivatives: Optimization

For Students Higher Ed
In this optimization worksheet, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
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Lesson Plan
Curated OER

Applied Maximum Minimum Problems--Mini Golf

For Teachers 12th
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. For this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
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Worksheet
Curated OER

Graphing Polar Equations

For Students 11th - Higher Ed
In this graphing polar equations activity, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the table on a...
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Lesson Plan
West Contra Costa Unified School District

Quadratic Equations — What We Know

For Teachers 8th - 10th Standards
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
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Worksheet
Curated OER

Worksheet #7

For Students 9th - 11th
In this maximum and minimum of values instructional activity, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its...
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Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Worksheet
Curated OER

Maximum Volume of a cuboid and open-topped box

For Students 11th - 12th
In this Algebra II/Pre-Calculus learning exercise, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box.  Additionally, students determine the acceptable size for boxes to meet parcel service...
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Worksheet
Curated OER

Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.