Continuity and Limits
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 point.
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Finding Limits Using Tables and Graphs
An excellent set of problems for developing limit intuition in learners, this presentation and homework set leads the class from testing basic continuous functions through to discontinuous piecewise problems. Using both table and...
10th - 12th Math CCSS: Adaptable
Making Piecewise Functions Continuous and Differentiable
Learners explore the concept of piecewise functions. For this piecewise functions lesson, students discuss how to make a piecewise function continuous and differentiable. Learners use their Ti-89 to find the limit of the function as it...
11th - 12th Math
How to Make a Function Continuous (for a piecewise function)
Now do you see how limits relate to continuity? Viewers of this learn to find the value of a constant for a piecewise function that makes it continuous. They see how one-sided limits show that the derived constant is correct.
11 mins 11th - Higher Ed Math
New Review Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
11th - Higher Ed Math CCSS: Adaptable