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Flipped Math
Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes
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...
Curated OER
Limits at Infinity
In this calculus worksheet, students solve problems dealing with limits at infinity. There are 22 questions with an answer key.
Curated OER
Limits at Infinity
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.
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
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...
Curated OER
Limits at Infinity and Horizontal Asymptotes
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...
Curated OER
Intuitive Approach to Limits
Students 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...
Curated OER
Complex Analysis: Limits of Complex Functions
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.
Flipped Math
Calculus AB/BC - Infinite Limits and Vertical Asymptotes
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...
Curated OER
Limits and Infinity
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.
Curated OER
Return Intervals & Reasoning from Tabular Data
Learners calculate derivatives from a set of data. In this calculus lesson plan, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson plan.
Curated OER
Complex Analysis: Limits of Complex Functions
In this complex function learning exercise, students identify the limits of complex functions. This two-page learning exercise contains examples and explanations, followed by two problems.
Rice University
Calculus Volume 1
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...
Curated OER
Exponential Functions
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...
PBL Pathways
Students and Teachers 2
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...
Curated OER
Converge or Diverge?
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...
Curated OER
Definition of the Derivative
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...
Curated OER
What are Fractals?
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...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive activity has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Curated OER
Worksheet 8
In this math learning exercise, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
PBL Pathways
Doctors and Nurses
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...
Curated OER
Calculus
Young scholars 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.
Curated OER
Introduction to Infinite Sequences
For this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences. This worksheet references L'Hopital's rule.
Curated OER
Review Problems
In this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
Curated OER
Twelve Facts About e
In 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.