Lesson Plan
Curated OER

Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
Worksheet
Curated OER

Local Linearity and the Microscope Approximation

For Students Higher Ed
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
Interactive
CK-12 Foundation

Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
Worksheet
Curated OER

Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
Worksheet
Curated OER

Functions and Slopes

For Students 12th - Higher Ed
In this function worksheet, learners find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
Lesson Plan
Curated OER

Surfing the Waves

For Teachers 9th - 12th
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th Standards
Learn how to evaluate the derivatives of polynomials.  Mathematicians find the derivative of a quadratic function and determine the value at a given value.  High schoolers compare the slope of the secant line through two points...
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.
Worksheet
Curated OER

The Derivative

For Students Higher Ed
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Students differentiate between parallel and perpendicular lines. For this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Worksheet
Curated OER

Geometry Course Review

For Students 10th
In this geometry review set of worksheet, 10th graders solve and complete 139 various types of problems. First, they find the slope-intercept form of a line passing through a point and parallel to a line given. Then, students find the...
AP Test Prep
College Board

2005 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
Lesson Plan
Kenan Fellows

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
Lesson Plan
Curated OER

Slope and Tangent

For Teachers 9th - 11th
Students differentiate between the slope and the tangent of the horizontal. In this precalculus instructional activity, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit...
Lesson Plan
Curated OER

Lesson #20 Rates of Change and Velocity

For Teachers 10th - 12th
Students investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...
Worksheet
Curated OER

Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the...
Worksheet
Curated OER

A.P. Calculus - First Semester Examination

For Students 11th - 12th
For this calculus exam worksheet, students solve 40 multiple choice and short answer problems.  Students find derivatives, second derivatives, normal lines, slopes, etc.
Worksheet
Curated OER

Higher Order Taylor Polynomials

For Students Higher Ed
For this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC - Unit 7 Review: Differential Equations

For Students 10th - 12th
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
AP Test Prep
College Board

2004 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Lesson Plan
Curated OER

Rates Of Change

For Teachers 9th - 12th
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Lesson Plan
Curated OER

Slopes and Slope Intercepts

For Teachers 8th - 10th
Students identify the slope of an equation using various methods. In this algebra lesson plan, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the...
Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...