Interactive
CK-12 Foundation

Slope of a Tangent Line: Slope of the Tangent and Secant Lines

For Students 11th - Higher Ed
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus activity. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Worksheet
Curated OER

Limits of Functions as Undefined X-Values and L'Hopital's Rule

For Students Higher Ed
In this limits learning exercise, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
Worksheet
Curated OER

Limits of Composition Functions

For Students 11th - 12th
In this limits worksheet, students find the limits of 9 composition functions.  Students evaluate limits for each function at a specific value or as it approaches any value.
Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
AP Test Prep11:12
1
1
Flipped Math

Calculus AB/BC - Selecting Procedures for Determining Limits

For Students 10th - 12th
Knowing more strategies is always a plus. Pupils watch an engaging video to learn additional ways to algebraically determine the limit of a function at a specified value. The video covers multiplying radical expressions by their...
Interactive
Royal Society of Chemistry

Functional Groups

For Students 6th - 12th
Looking for a highly functional tool to teach young chemists functional groups? Engage the class with a series of logic-based games. Users identify 12 different functional groups by name and formula to work their way through challenging...
Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
PPT
Portland
 State
 University

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

For Teachers 11th - 12th
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
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,...
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...
AP Test Prep5:08
1
1
Flipped Math

Calculus AB/BC - Connecting Multiple Representations of Limits

For Students 10th - 12th
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Lesson Plan
Virginia Department of Education

Linear Curve of Best Fit

For Teachers 10th - 12th Standards
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Worksheet
Curated OER

Caclulus Worksheet: Continuity of Functions

For Students 10th - 12th
In this continuity of functions worksheet, students solve calculus function problems.  They find the limits and determine when a function is continuous.  This one-page worksheet contains 3 multi-step problems.
Worksheet
Curated OER

Math 155 - Fall 2002 Worksheet 3: Continuity

For Students 11th - 12th
In this continuity worksheet, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.
Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits activity, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
Lesson Plan
Curated OER

Basic Limits

For Teachers 9th - 12th Standards
Learners calculate the limits of functions. In this calculus instructional activity, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
Lesson Plan
Curated OER

Worksheet 10 - Limits

For Teachers Higher Ed
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Worksheet
Curated OER

Explorations 5: Introduction to Limits

For Students 10th - 12th
In this limit worksheet, learners find the interval values of given functions. They identify constants, and plot graphs. This three-page worksheet contains approximately 20 problems.
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Printables
Google

Anatomy of a Search

For Teachers 5th - 12th
How does Google work? That is the question answered by this printable. The four steps (search, analyze, evaluate, and rank) are detailed. A great way to launch a discussion of the strengths and weaknesses of this research tool.
Worksheet
Curated OER

Easy Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
AP Test Prep18:18
1
1
Flipped Math

Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...

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