When i left the house this morning, i noticed that i was short on cash,” gary said. “i spent one-half of what i had on my train ticket, then bought a quarter’s worth of candy. when i got to the station i spent half of what i had left, plus fifty cents, on newspapers. then i spent half the remaining money on bus fare, and gave seventy-five cents to a homeless man outside. when i got to work i had only a quarter left. how much did i start out with? ”

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.