What do you understand in this unit?
In this unit, I learned how to tell if a relationship is proportional by dividing y by x for each pair of values. If the constant of proportionality (CoP) stays the same, then the relationship is proportional. I also found out that proportional graphs always form a straight line that passes through the origin (0,0). The constant of proportionality, shown as k, can be placed into the equation y = kx to create the equation for both the graph and table.
N: What new information did you learn in this unit?
A new thing I learned in this unit was how to determine whether a relationship is proportional by dividing y and x for each pair of values. If the Cop is always the same number, then the relationship is proportional. I also discovered that proportional graphs always form a straight line that passes through the origin which is (0,0). The constant of proportionality, which is represented by k, will be inserted into the equation y=kx creating a equation for the graph and table.
I: What was interesting in this unit?
What I found most interesting in this unit was seeing how proportional relationships connect to real life. I noticed that this type of math appears everywhere—when comparing prices in stores, converting currencies, following recipes, or finding speed using the formula distance ÷ time. It was fascinating to realize that math can describe so many everyday situations in a simple and predictable way.
T: What was tricky for you in this unit?
The trickiest part of this unit for me was identifying proportional relationships from word problems. Sometimes it was hard to remember which number represented x and which was y, and I needed to be careful when dividing to find the correct value of k. I also found graphing challenging at first, especially making sure that I needed to remember to write down what the variable represented and the title for the graph.