Free File Downloads (on the Math Giraffe blog) for Investigating Rational Functions - What makes an asymptote? In the first activity students figure out for themselves what features of the function cause vertical asymptotes versus holes. In the second, they determine what characteristics of a rational function cause horizontal versus slant asymptotes.

Free File Downloads (on the Math Giraffe blog) for Investigating Rational Functions - What makes an asymptote? In the first activity students figure out for themselves what features of the function cause vertical asymptotes versus holes. In the second, they determine what characteristics of a rational function cause horizontal versus slant asymptotes.

Free File Downloads (on the Math Giraffe blog) for Investigating Rational Functions - What makes an asymptote?  In the first activity students figure out for themselves what features of the function cause vertical asymptotes versus holes.  In the second, they determine what characteristics of a rational function cause horizontal versus slant asymptotes.

Free File Downloads (on the Math Giraffe blog) for Investigating Rational Functions - What makes an asymptote? In the first activity students figure out for themselves what features of the function cause vertical asymptotes versus holes. In the second, they determine what characteristics of a rational function cause horizontal versus slant asymptotes.

What Makes an Asymptote? Free Guided Inquiry Lesson with Rational Functions - Math Giraffe

What Makes an Asymptote? Free Guided Inquiry Lesson with Rational Functions - Math Giraffe

I have found Graphical organizers to be a great study tool for students and they love to use them in math. Here we are using it for the steps to graphing rational functions.

I have found Graphical organizers to be a great study tool for students and they love to use them in math. Here we are using it for the steps to graphing rational functions.

How Sam Shah introduces rational functions - I want kids to build up rational functions, instead of breaking them down. I want them to see how they are constructed term by term by term. Kids need to understand what the first term is doing -- that for any value other than 3, the fraction will evaluate to be 1 (thus it will not affect the rest of the multiplication), but when is 3, we clearly get something undefined and so on. Packet of questions to introduce this.

How Sam Shah introduces rational functions - I want kids to build up rational functions, instead of breaking them down. I want them to see how they are constructed term by term by term. Kids need to understand what the first term is doing -- that for any value other than 3, the fraction will evaluate to be 1 (thus it will not affect the rest of the multiplication), but when is 3, we clearly get something undefined and so on. Packet of questions to introduce this.

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