Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Unit Plan
Khan Academy

Khan Academy: Continuity at a Point (Graphical)

For Students 10th - 12th
Practice continuity at a point.
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
Massachusetts Institute of Technology

Mit: Open Course Ware: Differentiability and Continuity

For Students 9th - 10th
The activity investigates differentiability and continuity. The resource consists of online textbook chapters and exam questions with solutions on non-differentiable behavior. All documents were created from scanned original files and...
Unit Plan
Shmoop University

Shmoop: Multiplying and Dividing Limits Examples

For Students 10th - 12th
Examples of multiplication and division of limits with the solutions.
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
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...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Definition of a Limit

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Intermediate Value Theorem

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Definition of Limits

For Students 9th - 10th
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
Unit Plan
Other

Calculus help.com: Tutorials for the Calculus Phobe

For Students 9th - 10th
A dozen interactive tutorials are what help make the basics of calculus more clear for those students who need additional explanation. Clear directions, simple examples, and interesting graphics are all part of this resource.