73 Items in Unit
Lesson Planet Curated

#### 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....
46 Items in Unit
Lesson Planet Curated

#### 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...
73 Items in Unit
Lesson Planet Curated

#### 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,...
AP Test Prep19:26
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Flipped Math

#### 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...
Lesson Plan
West Contra Costa Unified School District

#### 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.
AP Test Prep14:15
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Flipped Math

#### 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...
Worksheet
Curated OER

#### 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.
Assessment
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Illustrative Mathematics

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...
Worksheet
Curated OER

#### Worksheet 13: Slope and Concavity

For Students 12th - Higher Ed
For 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.
AP Test Prep9:02
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Flipped Math

#### 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...
Instructional Video7:07
Krista King Math

#### 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...
AP Test Prep11:24
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Flipped Math

#### 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...
Lesson Plan
Curated OER

#### Concavity of a Graph

For Teachers 9th - 12th Standards
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Worksheet
Curated OER

#### 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.
Handout
West Contra Costa Unified School District

#### 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...
Worksheet
Curated OER

#### 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...
Worksheet
Curated OER

#### Rate Equations, Slope Functions and Concavity

For Students Higher Ed
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
Lesson Plan
Curated OER

#### 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.
Worksheet
Curated OER

#### 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.
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.
Assessment
Illustrative Mathematics

#### 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...
Lesson Plan
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West Contra Costa Unified School District

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...
Instructional Video9:58
Krista King Math

For Students 11th - Higher Ed
There's nothing sketchy about a helpful graphing resource. An informative video shows how to sketch graphs of functions. Scholars first apply derivatives to determine increasing/decreasing behavior, concavity, and asymptotes. They then...
Instructional Video5:52
Physics Girl

#### 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...