The student uses algebraic and geometric models to represent patterns and structures. Clarifying Activity Students explore the relationship between size transformations, scale drawings, the window on the graphing calculator, and distorted presentations of data. Students are given a picture that is exactly square. They are then to redraw the picture on a rectangular piece of paper. Before they draw the picture, they are to predict how they think the picture will be different and explain why.
Students use ratios to describe the relationship between the pictures.
Based on what they have learned from the grid drawing above, they are to predict what will happen when they change the window. Have the students change the y and the x min and max separately and record what happens to the graph. Students discuss how changing the values of the window makes the same graph look like different graphs. Students draw conclusions as to how the graph varies in relation to how the window is changed. Students discuss how advertisers and researchers use various types of graphs and make conclusions as to how the same data may appear to be different based on the scales used.