Unit Plan
CK-12 Foundation

Ck 12: Analysis: One to One Functions and Their Inverses

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
Activity
Texas Instruments

Texas Instruments: Functions, Graphs, and Limits

For Teachers 9th - 10th
In this activity, students create graphs and tables of values for functions. They can use this graphical and numerical information to explore limits. Students can also evaluate limits directly.
Activity
Texas Instruments

Texas Instruments: Limits and Continuity

For Teachers 9th - 10th
These questions address the topics of limits, continuity, and discontinuity.
Activity
Other

Presidential Power and Limitations

For Students 9th - 10th
This site has links to information about almost everything that the president can and cannot do while in office.
Unit Plan
Shmoop University

Shmoop: Adding and Subtracting Limits Examples

For Students 10th - 12th
Examples of addition and subtraction with limits including solutions to the example problems.
Unit Plan
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Limits

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the concept of limits, including one-side limits, the limit of a function, and the definition of limit. There are example problems solved, problems for the student to attempt, and...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Infinite Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Exploring functions with limits at + / - infinity. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Unit Plan
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Limit Properties

For Students 9th - 10th
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...
Activity
Texas Instruments

Texas Instruments: Population and Limits

For Teachers 9th - 10th
In this activity, students will consider a model of a population living in an unfavorable habitat. Given an initial population students will describe the population as timepases.
Unit Plan
CK-12 Foundation

Ck 12: Properties of Limits

For Students 10th - 12th
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
Unit Plan
Khan Academy

Khan Academy: Determine the Domain of Functions

For Students 9th - 10th Standards
Determine the domain of a function according to the algebraic limitations of that function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach

For Students 9th - 10th
The resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.
Lesson Plan
University of Texas at Austin

Mathematics Teks Toolkit: Exponential Functions

For Teachers 9th - 10th Standards
Compare graphs of different exponential functions and determine the limitations of the functions.
Activity
Texas Instruments

Texas Instruments: Piecewise Functions

For Teachers 9th - 10th Standards
In this activity, students investigate piecewise functions for continuity and differentiability.
Activity
Texas Instruments

Texas Instruments: Piecewise Functions: Continuous Differentiable

For Teachers 9th - 10th
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Activity
Texas Instruments

Texas Instruments: Special Limits

For Teachers 9th - 10th
Students can use the graphing calculator to explore the limits of the functions sin(x)/x and (cos(x)-1)/x as x approaches zero.
Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Limits

For Students 9th - 10th
Hotmath provides 25 practice problems that deal with limits and graphs of limits. Each of the practice problems include a step-by-step guide.
Unit Plan
Shmoop University

Shmoop: Multiplying and Dividing Limits Examples

For Students 10th - 12th
Examples of multiplication and division of limits with the solutions.
Unknown Type
Paul Dawkins

Paul's Online Notes: Continuity: Practice Problems

For Students 9th - 10th
Practice exercise reviews the concept of continuity and how it relates to limits. Also, provides practice with the use of the Intermediate Value Theorem.
Unit Plan
Other

Limits a Geometric and Numeric Approach

For Students 9th - 10th
Students learn about limits using geometric and numeric approaches. Topics include limits using tables and limits with graphs. The resource consists of graphs, examples, and a learning game.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Limits and Asymptotes

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Introduction to end behaviors, limits, asymptotes and limit notation.
Unit Plan
Other

Desmos: Modeling Bundle

For Students 9th - 10th Standards
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Applications of One Sided Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Polynomial Function Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Finding the limits of polynomial functions using theorems and operations on limits