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Lesson Plan
Curated OER

Optimization

For Teachers 9th - 12th Standards
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
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Lesson Plan
Curated OER

River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Lesson Plan
Curated OER

Cutting Corners - Parts 1 and 2

For Teachers 9th - 12th
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
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Lesson Plan
Curated OER

Engineering in a Calculus Classroom

For Teachers 11th - 12th
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Lesson Plan
Curated OER

Maxima and Minima Problems

For Teachers 11th - 12th
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative. 
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Lesson Plan
Curated OER

Extrema on an Interval

For Teachers 9th - Higher Ed
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Lesson Plan
Curated OER

Applied Maxim Mininmum Problems

For Teachers 12th - Higher Ed
Students define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. For this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students...
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Lesson Plan
Curated OER

The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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Lesson Plan
Illustrative Mathematics

The Physics Professor

For Teachers 8th - 12th Standards
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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Lesson Plan
Curated OER

Microeconomics Summary

For Teachers 12th
Twelfth graders study microeconomics.  In this Economics lesson, 12th graders draw graphs on government taxes.  Students decide if these graphs are true or false.

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