Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
For 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

The Definition Derivative

For Students Higher Ed
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
Lesson Plan
Curated OER

BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, young scholars find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
Worksheet
Curated OER

Computing Derivatives

For Students Higher Ed
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Worksheet
Curated OER

The Derivative

For Students Higher Ed
In this derivative instructional activity, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page instructional activity contains definitions,...
Worksheet
Curated OER

Derivatives

For Students 11th
In this derivatives worksheet, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation of the...
Worksheet
Curated OER

Elementary Derivatives and Rules of Differentiation

For Students Higher Ed
In this derivative learning exercise, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page learning exercise contains approximately ten...
Worksheet
Curated OER

Math 212: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find the equation of the tangent plane to a given surface, they compute functions, and sketch graphs of a tangent plane. This two-page worksheet contains three problems.
Lesson Plan
Curated OER

Interpreting Graphs

For Teachers 5th - 7th
Students investigate graphs. For this graphing lesson, students create a graph regarding the population of California. Students extrapolate answers concerning the data set.
Lesson Plan
Curated OER

Reading Graphs

For Teachers 6th - 8th
Middle schoolers practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
Lesson Plan
Curated OER

Graphing Trash Material

For Teachers Pre-K - 2nd
Students investigate data and recyclable materials. In this math lesson, students save recyclable materials and create a graph of the materials. Students discuss how they could help the environment by recycling.
Lesson Plan
Curated OER

Seeing is Believing: Derivatives

For Teachers 9th - Higher Ed Standards
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
Lesson Plan
Curated OER

Worksheet 3 - Functions

For Teachers Higher Ed
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Worksheet 28 - Functions

For Teachers Higher Ed
In this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
Lesson Plan
1
1
EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Assessment
Mathematics Assessment Project

Temperatures

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first examine line graphs of monthly temperatures for two locations, and then match box plots to each line plot.
Lesson Plan
1
1
EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
Assessment
Concord Consortium

Broken Spreadsheet II

For Students 11th - 12th Standards
Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...
Worksheet
Curated OER

Quiz 4: Derivative

For Students Higher Ed
In this derivative worksheet, students determine the derivative of given functions. They find an equation of a line which is tangent to a given graph and identify an equation of a line which is perpendicular to the graph. This two-page...
Worksheet
Curated OER

Worksheet 6: Derivative & Slope

For Students Higher Ed
In this derivative and slope worksheet, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page worksheet contains seven multi-step problems.
Lesson Plan
Curated OER

Graph Of The Derivative

For Teachers 11th - 12th
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
AP Test Prep
College Board

Frozen in Time

For Teachers 10th - 12th
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
Worksheet
Curated OER

Intro to Derivatives

For Students 11th - 12th
In this calculus worksheet, students find the line tangent to a curve using the derivative. They graph the slope and identify the line of tangency. There are 6 questions.
Lesson Plan
Curated OER

Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Young scholars explore and derive functions. In this calculus lesson plan, 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.