Love the way you open it up to include any kind of picture. Some students do this entirely on their own, some need 10 minutes of help getting started, some need an hour of one-to-one help to get started. I would like to use this for next time, but I am a little concerned that my students will try to copy or modify one of the drawings posted there. Someone gave it to me and it became the inspiration for this project. I have provided them with a of a simple piecewise function.
The students enjoyed it and it made them feel like they were practicing with a purpose. With the remaining 20 minutes, I had students work on 5 problems in class. I tell students they should aim for about 40 equations. This can be a great place for more visual students to shine. I give students a few days to come in with a picture and then we spend about 30 minutes going over how to start the project. I don't do this as a final project, but in Algebra 1 they make a picture containing at least 8 straight lines.
The students video record a roller coaster and sketch the graph relating time and height. Before writing piecewise functions for each animal, students need to see how to properly write one. They are doing exactly what I have asked them to do. I've included files below that have the rubric and project info, tips for the project, a sample student write up and a powerpoint of images submitted by students over the years oh about 50 or so slides. Another way is to have them check on their. But everyone comes up with a cool picture! Then I realized that my Algebra I students learn how to graph piecewise functions.
To submit, they e-mailed before the class of the quiz their creation to me and I printed it off. Students will be evaluated using a provided rubric on accuracy, creativity and neatness. She created an investigation where the students graphed the individual functions and cut out the pieces needed and put them together on a graph. So, I've taken it upon myself to develop a blog for those secondary education teachers who like to be as organized and creative as our elementary counterparts. So, I took her idea and modified it to fit what we were doing with piecewise functions.
They get a chance to see other roller coasters and get some review. How to I find where this straight line intersects this parabola? This picture counted as 20 points on their piecewise functions quiz. I invite school officials, the superintendent and the members of the board of education to stop by and see the gallery. Then I had my kids dive right into piecewise functions with a project. I begin by giving them a coordinate plane showing the new distance functions for each animal. Most students got through all 5 problems and I was surprised that not only did they have very few questions on how to start, but that they were working successfully on the problems they attempted. You can use the parts of the project that work best for you.
In Algebra 2 I did this first with piecewise parabolas they really struggled with piecewise, so it helped a ton , and then later with conics. Piecewise functions have been something my students have always struggled with. Often this is the starting place for a real-world function. I created a simple rubric that is attached on the file below. We discussed the domain restrictions and why we cut out the individual pieces.
This is what I love about blogging! Feel free to play around on the calculator that shows up for a minute or two. We don't devote any full class blocks to working on this and we still have regular lessons going on. We work on their transformations, and then add in restricted domains and ranges. I'm also picturing this with inequalities if they'd like to color some of it in. And they should realize and plan for the fact that this project can take anywhere from 8 to 20 hours. I wish I knew where this came from.
My students are terrible at time management, waiting until the last minute to do most things. Students are looking for ways to keep it as simple as possible and still meet all the requirements. Now students are primed to make their own picture. This blog is devoted to sharing my high school mathematics teaching ideas! My students first make sense of the graph by writing statements describing the actions of each animal during the race Math Practice 4. I then give them the terminology, piecewise functions, to represent these types of graphs. They complete their sketch on graph paper and record their functions with domain constraints.
The part that impressed me most was that a few students researched types of graphs we hadn't studied this year because they needed other shapes! They don't always get they are taking parts of the function and graphing them on the same graph. I am not disappointed, really. This will be their first exposure to these types of functions. I love them and my students love them! This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 2, as of 2013-12-30. I use to despise teaching piecewise functions. Reflections: 1 Will use again 2 Will provided more guidance on what to draw school spirit, holiday theme, etc. I have included an example of a similar project that I completed a few years back on a similar program.
One overachiever did 47 parabolas, and then 54 conics! I like giving students the opportunity to earn quiz points outside of class. Most of my students fall into that category. We write the first half together and they write the second half. So many times I have seen math teachers just have the students plot points and connect them to make a picture, but extending this into a piece-wise function project is an excellent extension of the concept. So, I am changing up piecewise functions this year based on some suggestions from the Math Twitterblogosphere. I hate grading projects but love having students do them because they show me that they can really apply what they have learned to something interesting and different from what we are able to do in class. What a huge difference - students actually seemed to understand what parts to graph and to put it together on one graph.