cbhilt.blogg.se - Domain and range desmos activity

Several students quickly noticed when they drew extra lines in the Desmos window it would make more cannon men or bumper cars appear…which was quite fun :)…but beyond that, they explained to me that it was no longer a function because their graphs did not pass the vertical line test and there were too many outputs for one input. Vocabulary from our unit was reinforced at several points throughout the project.They also realized without units, they could not accurately state their domain and range. When students had to create their own axis, they had to logically think about what would make sense…some started to write that their cannon only shot up to 5 or 6 feet tall…that wouldn’t make for a very fun carnival event!! After understanding this, they fixed it and were able to justify more appropriate units. The additional portion I added required students to create their own units for the graph and reflect on what was happening in the scenario.To help her, I tell her to measure how far along the road the car´s traveled, NOT draw the car´s path.”

“The graph says the bumper car goes back in both time and distance.

she needs to make it into a straight line.”

“The bumper car would end up going backwards because its going back towards the start.

Afterwards he should slow him down before he hits the ground.” He should try adding a still period at the apex of cannons man jump and then making him fall fast.

“The graph says that cannon man will have no suspension period in the air and that he will fall at the same speed going down without deploying his parachute.

Telling students that I can also see this portion on my teacher view in Desmos perked them up to write in more complete sentences and will give me a chance to evaluate their grammar and mathematical vocabulary. It gave students a chance to write in their own words about the mathematics of the situation. I really liked seeing how students interpreted the given scenarios and how they explained the errors that they were asked to correct.

Desmos incorporated a writing component for students to synthesize their learning.

They often called me over when they got their graphs perfect and wanted me to see their accuracy…I loved that!!

It was tricky for some to understand why their path wasn’t matching, but I liked letting them have some time of productive struggle. Furthermore, students had the ability to self check their answers and when they weren’t exactly right, they wanted to go back and fix their mistakes to get the simulation to work precisely. The technology was easy for students to understand, but the scenarios were complex enough to capture their interest. Giving students real world scenarios to physically see and digitally manipulate peaked students interest. Every student was engaged in the Desmos activity.

I am so happy with how this project turned out for several reasons: That way, the concepts were reinforced and they were able to analyze correct graphs before creating their own. With their hand drawn graphs, they then had to correctly label the independent and dependent axis with names and units, and then find several key features of the graph such as domain, range, y-intercept, and extremas. I thought it might take some students more tries than others to get their graphs correct (and it did), so I also added to the project by asking students to redraw their graphs on graph paper after they completed the Desmos portion. Before creating their own scenarios, I wanted to be sure students fully understood the situations they had been practicing on Desmos. After each scenario, the students are also prompted to help find errors in a provided graph and explain how to fix it. The activity has students watch three videos simulating different carnival activities (a cannon man, bumper cars, and a Ferris wheel) and then asks students to draw the scenarios as functions. I discovered Function Carnival and thought it would be a perfect mini project for applications of functions. In Algebra, we just finished our unit on functions and a colleague of mine had been talking about Desmos, so I decided to explore it a bit and see what they had for functions.