1. Functions through the Grades By: Sarah Jo Schmitt & Christine Szafran *The full standards are typed out in your packet.

2. Discussion Questions:  At what grade do you think functions are introduced?  What is the first thing you would teach when introducing functions?  At what grade do you think functions are introduced?  What is the first thing you would teach when introducing functions?

3. Elementary Grades (Pk-5)  Surprisingly, or maybe not so surprising, there is not mention of functions in the elementary school years.

4. Middle School: Grade 6  Once again there are no standards in Grade 6 that are related to functions.

5. Middle School: Grade 7  And…. Again no standards for functions found in Grade 7.

6. Middle School: Grade 8  Finally! Eighth Grade starts off the introduction of functions with the following standards:  8.F.1  8.F.2  8.F.3  8.F.4  8.F.5  Finally! Eighth Grade starts off the introduction of functions with the following standards:  8.F.1  8.F.2  8.F.3  8.F.4  8.F.5

7. High School: Algebra I  Algebra seems to be where functions are seen with the highest concentration:  F.IF.1F.IF.7bF.BF.2F.LE.3  F.IF.2F.IF.7eF.BF.3F.LE.5  F.IF.3F.IF.8aF.BF.4a  F.IF.4F.IF.8bF.LE.1a  F.IF.5F.IF.9F.LE.1b  F.IF.6F.BF.1aF.LE.1c  F.IF.7aF.BF.1bF.LE.2  Algebra seems to be where functions are seen with the highest concentration:  F.IF.1F.IF.7bF.BF.2F.LE.3  F.IF.2F.IF.7eF.BF.3F.LE.5  F.IF.3F.IF.8aF.BF.4a  F.IF.4F.IF.8bF.LE.1a  F.IF.5F.IF.9F.LE.1b  F.IF.6F.BF.1aF.LE.1c  F.IF.7aF.BF.1bF.LE.2

8. High School: Geometry  Once again we are back to not discussing functions during Geometry. Let’s see how Algebra II does….

9. High School: Algebra II  Yup, here is more standards for functions:  F.IF.4F.IF.9F.TF.5  F.IF.5F.BF.1bF.TF.8  F.IF.6F.BF.3  F.IF.7bF.BF.4a  F.IF.7cF.LE.4  F.IF.7eF.TF.1  F.IF.8F.TF.2  Yup, here is more standards for functions:  F.IF.4F.IF.9F.TF.5  F.IF.5F.BF.1bF.TF.8  F.IF.6F.BF.3  F.IF.7bF.BF.4a  F.IF.7cF.LE.4  F.IF.7eF.TF.1  F.IF.8F.TF.2

10. High School: Fourth Course  The Fourth Course in High School is designed to set up students for college level mathematics. Here we also see functions discussed:  F.IF.7dF.TF.3  F.BF.1cF.TF.4  F.BF.4bF.TF.6  F.BF.4cF.TF.7  F.BF.4dF.TF.9  F.BF.5  The Fourth Course in High School is designed to set up students for college level mathematics. Here we also see functions discussed:  F.IF.7dF.TF.3  F.BF.1cF.TF.4  F.BF.4bF.TF.6  F.BF.4cF.TF.7  F.BF.4dF.TF.9  F.BF.5