# Convex Functions Teacher Resources

Find Convex Functions lesson plans and worksheets
Showing 1 - 24 of 92 resources
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#### Worksheet 13: Slope and Concavity

For Students 12th - Higher Ed
In this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.
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#### Families of Functions Sort

For Teachers 8th - 10th
Have some fun with functions with a short activity that asks learners to first sort scatter plot in terms of their correlation. They then sort graphs of different types of functions in terms of key features, such as slope.
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#### Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
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#### Graphs and Exponential Functions

For Teachers 9th - 11th
Learners graph and analyze exponential functions. In this calculus lesson, students define the changes of the parameters and how they affect the graph. They explore asymptotes and horizontal asymptotes. They solve and graph different...
1 In 1 Collection
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For Students 9th - 12th Standards
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
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#### Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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#### Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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#### Teen Pregnancy: Investigating Cubic Functions

For Students 7th - 12th
In this teen pregnancy worksheet, students use a scatter plot and cubic functions to solve word problems about teen pregnancy. Students complete 7 problems.
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#### 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.
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#### Graphing Functions

For Students 11th - Higher Ed
In this graphing functions worksheet, students explore the graph of a function consisting of two line segments. They find the values in the open interval under given conditions. Students graph the closed interval. This two-page worksheet...
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#### Functions

For Students 12th - Higher Ed
In this functions worksheet, students solve and complete 4 different sections of a problem. First, they find all the values of x for which the graph has a horizontal tangent. Then, students write an equation for the line tangent to a...
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For Teachers 9th - 11th
This thorough review strives to cement understanding of quadratic functions, including how to predict the type of graph they will create, how they differ from linear functions, and how to find the zeros of the function. A listing of...
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#### Concavity of a Graph

For Teachers 9th - 12th Standards
Learners explore the graph of a function. In this calculus lesson plan, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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#### 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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#### Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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For Students 8th - 11th Standards
This would be a good activity to use in an introductory lesson about the behavior of quadratic functions and the characteristics of their graphs. The worksheet contains four quadratic functions and their corresponding graphs. Learners...
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#### Identifying Quadratic Functions (Vertex Form)

For Students 9th - 12th Standards
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...
1 In 1 Collection
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For Teachers 8th - 10th Standards
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through their graphical...
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#### Could You Replace Your Eye with a Camera?

For Students 9th - Higher Ed Standards
Eyeballs or cameras—which have the best functions? The video presentations compare the important functions of the eyeball and the camera. As technology changes, cameras become more impressive, but the eyeball still out-functions the...
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#### Graphing Relationships

For Teachers 11th - 12th
Students explore the concept of derivatives.  In this derivatives lesson, students determine the intervals in which a function is increasing or decreasing based on the sign of the derivative.  Students determine if a function is concave...
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For Teachers 11th - 12th
Students explore cubic and quartic functions.  In this Pre-calculus/Calculus lesson, students examine the properties of third and fourth degree functions.  Students examine the intercepts and inflection points and examine the conditions...
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#### From F to F

For Students 11th - 12th
In this derivatives learning exercise, learners solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
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#### Graphs and Derivatives

For Students 9th - 12th
In this graphs and derivatives learning exercise, high schoolers graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page learning exercise contains three multi-step problems.
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#### AP Calculus Practice Exam 2008

For Students 11th - 12th
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.