Unit Plan
CK-12 Foundation

Ck 12: Analysis: One Sided Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Exploring functions with differing limits when x>0 or x<0. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Activity
Analyze Math

Analyze Math: Properties of Limits

For Students 9th - 10th
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
Activity
Paul Dawkins

Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems

For Students 9th - 10th Standards
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
Graphic
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits and Continuity

For Students 9th - 10th
The resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.
eBook
Other

Pheng Kim Ving: Limits of Trigonometric Functions

For Students 9th - 10th
This site provides an explanation on the limits of trigonometric functions. Topics included on the site are infinite limits, no limits at infinity and a fundamental limit.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits for Rational Functions

For Students 9th - 10th
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Limits at Infinity

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
Graphic
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity

For Students 9th - 10th
The topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.
Graphic
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Limits

For Students 9th - 10th
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Formal Definition of a Limit

For Students 9th - 10th
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Infinite and Non Existent Limits

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding functions which approach infinity or have no limit. Students examine guided notes, review guided practice, watch instructional videos...
Activity
Texas Instruments

Texas Instruments: Finding Limits

For Teachers 9th - 10th
This activity allows the student to understand limits using both graphical and tabular methods.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits: Numerical Approach

For Students 9th - 10th
The resource investigates numerical approaches to limits. Topics examined are the definition of a limit and estimating limits numerically. Students learn about the calculus concepts through notes and examples.
Activity
Texas Instruments

Texas Instruments: Limits, Numerically

For Teachers 9th - 10th
This activity introduces limits, numerically using tables and graphs.
Activity
Texas Instruments

Texas Instruments: Techniques for Evaluating Limits

For Teachers 9th - 10th
Students are given the techniques for evaluating limits with and without using a graphing calculator. Both limits as x approaches a and as x approaches +/- infinity are given.
Graphic
Math Medics

S.o.s. Math: Limits and Infinity

For Students 9th - 10th
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
Handout
Wolfram Research

Wolfram Math World: Hyperbolic Functions

For Students 9th - 10th
This site from MathWorld explains the hyperbolic function. The information is not too in-depth, but factual and quite a few links are provided for additional information on related subjects.
Activity
Texas Instruments

Texas Instruments: Taking It to the Limit

For Teachers 9th - 10th
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
Handout
Paul Dawkins

Paul's Online Notes: Limits at Infinity Part 1

For Students 10th - 12th
Online notes with examples and solutions.
Activity
Texas Instruments

Texas Instruments: Limits Vertical and Horizontal Asymptotes

For Teachers 9th - 10th
This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.
Lesson Plan
TeachEngineering

Teach Engineering: Natural and Urban Stormwater Water Cycles

For Teachers 6th - 8th
Through an overview of the components of the hydrologic cycle and the important roles they play in the design of engineered systems, young scholars' awareness of the world's limited fresh water resources is heightened. The lesson lays...
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]

For Students 9th - 10th
Students sketch the graph of the derivative and examine the limits of a given function. The example is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]

For Students 9th - 10th
Students use the graph of a function to sketch the derivative and estimate limits. The example is available in PDF format.