Lesson 3.3 Functions with Line Graphs

So far we have seen that functions can take on different forms such as an equation, a table or a graph. In lessons 1 and 2 the “guess my rule” function machine metaphor helped to show the connection between the rule and the table. Lesson 3 graphing functions (more specifically, linear equations) is the focus.

As usual, Mr. Jacobs likes to present a motivational activity to start and he uses in Edition 3 the story about Robert Wadlow who at one time was the tallest man in the world to show the relationship between age and height. There is a marvelous website about Mr. Wadlow at http://www.altonweb.com/history/wadlow/ which is a fascinating read.

Note: The word rule is used interchangeably with equation and even sometimes with function. This can cause confusion because a rule doesn’t always have to be an equation and not all equations are necessarily functions depending on how it’s defined. For example a mathematical rule (which is what we are talking about here) could be an inequality like y > 3. Functions in higher math can become very complex so I tend to avoid using the term especially with younger students.

Let me know if you have any problems with Sets I and II. His Set III questions are usually a bit more challenging (and interesting), so you can skip them if you feel it would be appropriate.

Comments

Popular posts from this blog

Globs Contest meets Parabolas (Lesson 3.4)

Everything You Ever Wanted to Know about Equations, Lines, Slopes, and Graphs but Were Afraid to Ask

Outline for Chapter 3 - Jacobs Math