Sample learning activity using technology - Graphing Equations

In 8th grade math, we learn how to graph equations such as y = mx + b. Using graph paper, students learn how to plot the y-intercept, b, and then use the slope, m, to find more points. After finding a few points, the student can use a ruler to draw a line through those points. 

When I was in school, after I learned how to use graph paper, I learned how to use a scientific calculator. It was very exciting to see the graphs form so quickly and accurately after just typing in the equation! Back then, the scientific calculator could graph a limited number of graphs on a small monochrome screen. 



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Now, however, students have access to an online scientific calculator at desmos.com/calculator. 


Screenshot from a browser after entering 2 equations on the left side.

Students can take screenshots, such as the one above, have several equations, view a large window in color, and even manipulate variables in real time (not shown). Desmos also has activities that allow students to use trial and error to manipulate lines, something that would have been arduous and time-consuming without this tech.


 Curricular resources:

Tech such as desmos.com can be included as a part of the curriculum. Students can participate in activities such as this one:


Screenshot from my browser at desmos.com teacher portal


Students need to manipulate the slope and y-intercept of the purple line so that when the purple ball falls down, it will roll on the line and hit the stars, collecting them. The ease of manipulation and the animation factor of this activity has completely reinvented the process of learning to graph! It is now easier to see with the large color screens, more forgiving, and more engaging. 


Formative Assessment:

At one time, students needed to use graph paper, pencil, and a ruler in order to graph. Any mistakes had to be erased and re-written. Desmos.com has reformed formative assessment allowing students to use a computer to graph a line quickly and accurately.  Mistakes are easily corrected by using the "backspace" button and re-entered. The formative assessment process is quicker and focused more on equation accuracy than penmanship or ruler skills. 


Summative Assessment:

Once graphs had to be graded by hand. Desmos, however, can determine if the graph fulfills the criteria automatically. Grading is simplified, leaving time for the teacher to do other important things. 


Student Data Use

Student data, easily gathered by software, can be used to be sure that each student is receiving differentiated instruction. For example, Desmos gathers information on how each student did on the last several activities, as shown:


Screenshot from my browser at desmos.com teacher portal


By looking at this automatically collected data for anonymous students, I can tell that Euphemia and Rediet need help on slide 3. I can also tell that Euphemia and Aryabhata need help on slide 4. I can provide guidance as appropriate. John skipped a slide and needs to go back. Hertha is taking longer than everyone else. Ron, however, is doing very well and I trust he can continue to work on his own. 


The school experience is quite different for young people today than it was for me at their age. I am learning so much as an educator. The technology makes the curriculum fun and engaging in a different way than I experienced as a student. 




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