Saturday, December 9, 2017

Working with Function Graphs


Have you heard of Mathematics Vision Project (MVP)? They provide a FREE Integrated Math 1, task based curriculum online. Did I mention it was free?

My current school doesn't have one set Integrated Math 1 curriculum so we pull from a few different resources, one of them is MVP. Module 3 is all about functions. One of my favorite tasks from this unit was Task 3.4. You can download the original here, or if your students are anything like my students, they need a little more structure. You can download my edited PDF here.

Purpose
- Get students talking about how to read story function graphs
- Introduce the idea of finding f(x) = __ and f(_) = x on a graph within a context
- Introduce what f(x) = g(x) means in context

Outline
- By far the most important part of any task is making sure the students understand the problem! After having a student read the prompt out loud, ask student to write-think-pair-share what they know and what they wonder after reading the passage and looking at the graph. It's AMAZING what your students will say! And it proves to you they understand the context before moving on.

Prompt for students after reading task and graph

My scribe of students responses to 'What do you know? What do you wonder" after reading the task and graph!
They are amazing thinkers!

- I gave students a few minutes to productively struggle with each question before we discussed it as a class. This does not mean I set a timer for 20 minutes and then checked in with them. I chunked it. I told them they had 1 minute for #2, then I put student work under the document camera, we came to agreement, then I reset the timer for #3, and so on.

Time Estimate
- This took about 35 minutes for my edited/reduced version.