We think of infographics as a way of conveying data in a visual form. Math is full of data but what if we also used it to help introduce topics.
Since the slope is rate of change, we can take the examples found by students, discuss what element in the example is the rate of change or have students identify the rate of change and provide justification for their answer.
They could even provide actual examples for each situation. In my examples, I start with variable cost for renting a taxi. Students can check with local taxi companies for rates so they can calculate how much it would cost to travel to different places such as the store, the pool, or the airport.
What about party costs. Students could call around to several restaurants or party providers to find out how much it would cost to rent a room and the cost of feeding people. They can use that information to create the linear equation needed to plan a party.
Students could check the local sales flyers to find out the cost of various printers. They can check the stores or online to find the cost of replacement cartridges. They now have the information needed to figure out which is the best buy.
By doing this, they have already learned a lot and they have built a foundation they can relate the abstract to the general.
I can hardly wait to try it this fall. I got the idea from the session on infographics at the Kamehameha Schools Educational Technology Conference. Let me know what you think.