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Worksheet
Curated OER

Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use 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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Lesson Plan
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EngageNY

Graphing Factored Polynomials

For Students 10th - 12th Standards
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
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Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus instructional activity, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Lesson Plan
Curated OER

Critical Points

For Teachers 9th - 12th Standards
Students identify critical points on a graph. For this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Lesson Plan
Curated OER

Introduction to Tangent Lines using the TI-Nspire

For Teachers 9th - 11th
Learners make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
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Lesson Plan
Curated OER

Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. For this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
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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 instructional activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Worksheet
Curated OER

Application of Differentiation: Optimization

For Students Higher Ed
In this optimization activity, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Worksheet
Curated OER

Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.