Convex Functions Teacher Resources

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AP Calculus AB Unit 5: Analytical Applications of Differentiation

For Students 11th - 12th
Fourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....
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AP Calculus AB Unit 4: Contextual Applications of Differentiation

For Students 11th - 12th
The eight lessons in AP Calculus AB Unit 4 focus on the contextual applications of differentiation. Each lesson includes an overview, an instructional video, practice problems, and solutions. Scholars first review the connection between...
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AP Calculus AB Unit 6: Integration and Accumulation of Change

For Teachers 11th - 12th
The 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...
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Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
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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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Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative

For Students 10th - 12th
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
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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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Identifying Quadratic Functions

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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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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Inflection Points and Concavity

For Students 11th - Higher Ed
Confused about concavity? Here's the perfect video. Young mathematicians watch a video that explains the process of using the second derivative to determine inflection points and the concavity of a function. An example reinforces the...
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Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
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Calculus AB/BC - Approximating a Function's Value Using Local Linearity

For Students 10th - 12th
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
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Concavity of a Graph

For Teachers 9th - 12th Standards
Learners explore the graph of a function. In this calculus activity, 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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Functions and Differentiation

For Students 11th - 12th
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
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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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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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Rate Equations, Slope Functions and Concavity

For Students Higher Ed
In this rate equation learning exercise, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page learning exercise contains definitions,...
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Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Pupils 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, learners 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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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...
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Matching Quadratic Functions

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 instructional activity that comes in handy! Using hands-on matching activities, quadratic equations are explored through their...

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Convex Functions