They extend this problem to a new situation by finding the number of ancestors each person had ten generations ago and also to the problem of telling a secret to two people who each tell two people, etc. Analyze functional relationships to explain how a change in one quantity results in a change in another. Students investigate how increasing the temperature measured in degrees Celsius affects the temperature measured in degrees Fahrenheit and vice versa. They collect data using water, ice, and a burner. They use their data to develop a formula relating Celsius to Fahrenheit, summarize the formula in a sentence, and graph the values they have generated.
Students investigate how the temperature affects the number of chirps a cricket makes in a minute.
They graph the values they have generated, notice that it is close to a straight line, and describe the relationship they have found in a paragraph. Then they develop a symbolic expression that describes that relationship. Students investigate the effect on the perimeters of given shapes if each side is doubled or tripled. They summarize their findings. Students investigate how the areas of rectangles change as the length is doubled, or the width is doubled, or both are doubled.