Making Multiplicative Comparisons
Kate and Christopher use an applet called Making Pink Paint to solve proportional reasoning problems. They choose amounts of red and white paint to make two batches of paint that are the same shade of pink. In the process, they form ratios by comparing amounts of white paint to red paint multiplicatively.
Kate and Christopher make sense of a new applet called Making Pink Paint. They enter different amounts of white and red paint for two batches of paint and compare the shades of pink.
The students test several methods to make a batch of paint that is the same shade of pink as a batch with 4.5 ounces of white paint and 1.5 ounces of red paint.
Christopher and Kate draw a diagram to find the amount of white paint to mix with a given amount of red paint to match a certain shade of pink. They develop a new way to think about the problem by forming a multiplicative comparison between the amount of white and red paint in a batch of paint.
Kate and Christopher use multiplicative comparisons to make two batches of paint that are the same shade of pink.