Every View Has Value

I have been constantly modifying a low tech activity that emphasizes the connections between the the 4 views of a function.  Here is how the latest version works:

• Students work in small groups
• They are given a group of mixed up cards that represent the words, equation, table, and graph views of 8 scenarios.
• The task is to put together the corresponding views for each situation and then use the cards to answer a set of related questions without additional access to technology.

At first I had students stop at this point, but upon reflected I discovered that while they were matching up the views, students were not understanding the value of each view. So, I extended the activity to include a question set that had students analyze the scenarios and answer specific questions about them while at the same time emphasizing the view that students chose to use to answer each question.  This question set has been crucial in helping students understand how the views are connected to each other and I have observed that students are much more willing and likely to explore and use different views when working on problems after this activity.

The following are my set-up and facilitation recommendations:

• Use a variety of functions, but include a couple that are familiar to students
• Let students struggle (mine usually take 20-30 minutes on this)
• Add Independent/Dependent variable cards or Domain and Range cards
• On the handout as specific questions as well as observation and comparison questions
• Adapt this activity to focus on a specific type of function
• Update the scenarios as needed to they are current and relevant

Check out the files below if you would like to try out this activity:

• 4 Views Solution Grid
• 4 Views Activity Cards
• 4 Views Question Set