Continue a study of calculus by using a slideshow to introduce the concept of continuity. After defining the term, the presentation provides examples of functions that are discontinuous and introduces different types of discontinuities--removable, jump, oscillating, and infinite.

Concepts

continuous function, limits, piecewise functions

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Additional Tags

math

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Instructional Ideas

• Use the slideshow to introduce continuity

Classroom Considerations

• The slideshow is a Microsoft PowerPoint presentation, so be sure your computer can open a .pptx extension
• The slideshow only covers continuity at a point, not over an interval

Pros

• Red is used to indicate parts of the definition of continuity that are not satisfied by a function allowing pupils to easily determine whether a function is continuous
• Each part of the definition of continuity appears separately, allowing for discussion before the solutions appear

Cons

• None