purpose:

my group needed to come up with a linear system, and show how to solve it on a graph and algebraically.

Curricular Response

“Justify your mathematical decisions. Give reasons for your choice of equations and for your choice of algebraic method.”

to create the equations, first, we picked a point on the graph, linear systems have to have a solution that satisfies both equations, so we decided that we would pick the common point first and work both equations around that point, in this we picked (2,7). next we picked the slopes for the line, nothing to complicated, we picked -1/1 or -X, and 3/2. after that we simply started drawing the points on the graph along the slope starting with the point we picked out earlier. to finish off our equation we found where the line crossed the y-intercept to get out constant in the equation. so essentially, we solved our question on the graph, by using the graph to create our question. we chose substitution to solve this question algebraically, since both of the questions we already in y-intercept form this seemed like the most logical choice considering one of the variables were already isolated. then we multiplied it to get rid of the fraction, to make life easier, and just solved everything else from there.

Core Competency Self-Assessment

I ask and respond to questions to be an active, supportive listener. my group had great teamwork. everyone took terns listening and asking questions, working together to create answers. every question someone asked about what we were working on was answered. when I asked a question it was always responded to in a respectful manner. our group took time to explain all the questions that we asked each other as well.