


Mathematics Skill or Topic Area: Interpreting Graphs, Slopes and Rates of Change 

Next Gen Science Standards PS3: Energy; ETS 2: Links among Engineering, Technology, Science, and Society Common Core ELA for Science: RST.68.2. Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge or opinions.RST.68.8. Distinguish among facts, reasoned judgment based on research findings, and speculation in a text. RST.68.9. Compare and contrast the information gained from experiments, simulations, video, or multimedia sources with that gained from reading a text on the same topic. Common Core Math Standard: CC.8.EE.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. 

Video Engagement: Monitoring Earth's Energy Budget with CERES Learn how NASA uses a datacollecting sensor, Clouds and Earth’s Radiant Energy System, or CERES, to study clouds and make accurate measurements of energy leaving Earth (4 minutes). View Program 


Explore math connections with SpaceMath@NASA 

Problem I  Modeling the Global Warming Curve  Students work with a graph of global temperatures to forecast the temperature change by 2050 using a linear extrapolation. Topics include slope, change of slope, linear extrapolation and forecasting. [Open PDF] Problem II  The Rate of Carbon Dioxide Change in the Atmosphere  Students work with the Keeling Curve of carbon dioxide increases since 1960 and use slope and rate information to predict the atmospheric carbon dioxide abundance in 2050. Topics include interpreting slope and changes of slope. [Open PDF] Write your own problem  Using information found in the Math Connection problems, the press release or the video program, create your own math problem that looks for patterns and trends in the global climate change data. Explain why you set the problem up this way and how you might find the answer. Evaluate your understanding: Challenge Problem  Scientists Track the Rising Tide Along with changes in global temperature and carbon dioxide in the atmosphere, global warming affects global sea levels through heating and expansion. The following problem introduces students to a graph of sea level rise since 1900. Students will use what they know about graph interpretation, slopes and rates of change, and perform simple forecasting for the year 2050 and beyond. [Open PDF] Answer: The answer to this problem is provided in the PDF.


NASA / JPL 3D Solar System 

Extend your new knowledge  Use the EOSS Solar System Simulator to examine how the distance between the sun and Earth changes during the year, and how this causes a slight change in the temperature of Earth. [ Open PDF ] 
