This lesson gives brief description of dependent and independent variables and how they relate to the exponential and logarithmic functions.

Students take an in-depth look at what goes into planning a research project, which prepares them to take the lead on their own projects. Examining a case study, students first practice planning a research project that compares traditional cook stoves to improved cook stoves for use in the developing world. Then they compare their plans to one used in the real-world by professional researchers, gaining perspective and details on the thought and planning that goes into good research work. Then students are provided with example materials, a blank template and support to take them from brainstorming to completing a detailed research plan for their own air quality research projects. Conducting students’ AQ-IQ research studies requires additional time and equipment beyond this planning activity. Then after the data is collected and analyzed, teams interpret the data and present summary research posters by conducting the next associated activity Numerous student handouts and a PowerPoint® presentation are provided.

Students learn how to quickly and efficiently interpret graphs, which are used for everyday purposes as well as engineering analysis. Through a practice handout completed as a class and a worksheet completed in small groups, students gain familiarity in talking about and interpreting graphs. They use common graph terminology such as independent variable, dependent variable, linear data, linear relationship and rate of change. The equation for calculating slope is explained. The focus is on students becoming able to clearly describe linear relationships by using the language of slope and the rate of change between variables. At lesson end, students discuss the relationship between variables as presented by the visual representation of a graph. Then they independently complete a homework handout.