AP Test Prep13:27
1
1
Flipped Math

Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

For Students 10th - 12th
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Worksheet
Curated OER

Limits at Infinity

For Students 11th - 12th
In this calculus worksheet, students solve problems dealing with limits at infinity. There are 22 questions with an answer key.
Lesson Plan
Curated OER

Limits at Infinity

For Teachers 9th - 12th Standards
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
AP Test Prep
1
1
Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
Worksheet
Curated OER

Limits at Infinity and Horizontal Asymptotes

For Students Higher Ed
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
Lesson Plan
Curated OER

Intuitive Approach to Limits

For Teachers 11th - Higher Ed
Learners identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
Worksheet
Curated OER

Complex Analysis: Limits of Complex Functions

For Students Higher Ed
For this complex function worksheet, students identify the limits of complex functions. They explore the rules on limits and the point at infinity. This two-page worksheet contains examples and explanations, as well as seven problems.
AP Test Prep7:55
1
1
Flipped Math

Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
Worksheet
Curated OER

Limits and Infinity

For Students 11th - 12th
In this calculus lesson, students graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
Lesson Plan
Curated OER

Return Intervals & Reasoning from Tabular Data

For Teachers 11th - 12th
Learners calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Worksheet
Curated OER

Complex Analysis: Limits of Complex Functions

For Students Higher Ed
In this complex function worksheet, students identify the limits of complex functions. This two-page worksheet contains examples and explanations, followed by two problems.
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Worksheet
Curated OER

Exponential Functions

For Students 9th
In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Lesson Plan
Curated OER

Converge or Diverge?

For Teachers 11th - 12th
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Lesson Plan
Curated OER

Definition of the Derivative

For Teachers 11th - 12th
Students find the derivatives of functions.  In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Students discuss scenarios in which the...
Lesson Plan
Curated OER

What are Fractals?

For Teachers 6th - 12th
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Worksheet
Curated OER

Worksheet 8

For Students 6th - 8th
In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Activity
PBL Pathways

Doctors and Nurses

For Students 11th - Higher Ed Standards
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
Lesson Plan
Curated OER

Calculus

For Teachers 10th - Higher Ed
Pupils make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
Worksheet
Curated OER

Introduction to Infinite Sequences

For Students 11th - Higher Ed
For this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences.  This worksheet references L'Hopital's rule.
Worksheet
Curated OER

Review Problems

For Students 9th - 11th
For this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
Worksheet
Curated OER

Twelve Facts About e

For Students 11th - Higher Ed
For this e worksheet, students are presented with several facts about e and Euler.  Students are also given a technique to help them remember the numerical approximation for e.