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...
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
It's About Time
Defy Gravity
Test the limits of gravity while encouraging full class participation with this thrilling lesson. Pupils investigate the meaning of work and how it is equivalent to energy. They explore the joule and apply it as a unit of work. They...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach
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.
Texas Instruments
Texas Instruments: Limits and Continuity
These questions address the topics of limits, continuity, and discontinuity.
Interactive Mathematics
Interactive Mathematics: Limits
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
Paul Dawkins
Paul's Online Notes: Calculus I: Limits
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...
Texas Instruments
Texas Instruments: Piecewise Functions: Continuous Differentiable
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
Analyze Math
Analyze Math: Introduction to Limits in Calculus
The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.
Other
Continuity
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
Analyze Math
Analyze Math: Properties of Limits
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Limits at Infinity
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...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Formal Definition of a Limit
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...
Texas Instruments
Texas Instruments: Taking It to the Limit
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.
Texas Instruments
Texas Instruments: Piecewise Functions
In this activity, students investigate piecewise functions for continuity and differentiability.
Texas Instruments
Texas Instruments: Population and Limits
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...
Texas Instruments
Texas Instruments: Understanding Limits
This activity is designed to show students how to use a graphing calculator to find a limit by graphing, investigating a table, and by using the calc menu. (Continued. See "before the activity.")
Other
Seton Hall University: Limits
Detailed tutorial which defines, explains, and has examples of various function limits.
Texas Instruments
Texas Instruments: Trying to Find a Best Fit: Heuristic Approach
In this activity, students can use geometry to determine the optimal location for a distribution warehouse of a department store chain.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas. Aplicaciones. Optimizacion.
In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.
National Health Museum
Access Excellence: Modeling Limits to Cell Size
Why can't cells continue to grow larger and larger to become giant cells, like a blob? Why are most cells microscopic in size? Find out answers to these questions through this "hands-on" activity that simulates the changing relationship...