Worksheet
Curated OER

A.P. Calculus - First Semester Examination

For Students 11th - 12th
In 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

Math 155 - Worksheet 7. Function

For Students Higher Ed
In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
Lesson Plan
EngageNY

The Definition of Sine, Cosine, and Tangent

For Students 9th - 10th Standards
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
Lesson Plan
Curated OER

Surfing the Waves

For Teachers 9th - 12th
Learners 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...
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...
Activity
1
1
Curated OER

Mathemafish Population

For Teachers 8th - 11th Standards
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Lesson Plan
Curated OER

Review for Test on Derivatives.

For Teachers 12th - Higher Ed
Students review derivatives and equations for their test. In this calculus lesson plan, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test....
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.
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 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,...
Lesson Plan
Curated OER

Worksheet 9 - Functions

For Teachers Higher Ed
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
AP Test Prep
College Board

Approximation

For Teachers 10th - 12th
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
AP Test Prep
College Board

2008 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
How would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...
Worksheet
Curated OER

Senior Analysis: Review Functions and Tangents

For Students 10th - 12th
In this function learning exercise, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page learning exercise contains 11 multi-step problems. Answers are provided on...
Worksheet
Curated OER

Derivatives

For Students 11th
For 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...
Lesson Plan
Curated OER

Worksheet 11 - Fall 95

For Teachers 12th - Higher Ed
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
Worksheet
Curated OER

Quiz 4: Derivative

For Students Higher Ed
In this derivative instructional activity, 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. ...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Worksheet
Curated OER

Intro to Derivatives

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

AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus worksheet, learners solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Worksheet
Curated OER

Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative worksheet, learners calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.