


Mathematics Skill or Topic Area: Scale Drawings and Scale Models 

Next Gen Science Standards PS1: Matter and Its Interactions; ESS 1: Earth’s place in the universe; ETS 1: Engineering Design; 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.7.G.1: Solve problems involving scale drawings of geometric figures, including calculating actual lengths and areas from scale drawings. 

Video Engagement: NASA's Lunar Reconnaissance Orbiter Join NASA scientists for a look at the Lunar Reconnaissance Orbiter, or LRO. Find out about the instruments that are making a comprehensive map of the moon and searching for safe landing sites by collecting unprecedented amounts of data (4 minutes).View Program 


Explore math connections with SpaceMath@NASA 

Problem I  LRO Sees Apollo11 Lander on the Moon  Students use the latest image from the Lunar Reconnaissance Orbiter of the Apollo11 landing site to explore lunar features at 1meter resolution, and determine the solar elevation angle. Topics include scale, ratios, angle measure, right triangles. and negative numbers. [Open PDF] Open enlarged image: [Apollo 11, Apollo 12] Problem II  Taking a Stroll around a Martian Crater  Students use a recent photograph of a crater on Mars to estimate its circumference and the time it will take NASAs Opportunity Rover to travel once around its edge. Topics include scale models, working with distance = speed x time and metric measure. [Open PDF] [Open enlarged image] Explain your thinking: Write your own problem  Using information found in the Math Connection problems, the press release or the video program, create your own math problem using the images in Problem I or II. Explain why you set the problem up this way, and how you might find its answer. Evaluate your understanding: Challenge Problem  The depth of Surveyor Crater is about 50 meters, and its diameter is about 100 meters. At the center of the crater, what angle is created from this point to Surveyor 3? Answer: First draw a scale model of the crater with a diameter of 100 meters and a depth of 50 meters. Draw a righttriangle with a vertex at the center of the crater and its hypothenuse drawn from the vertex at the center of the crater to the top of the crater wall 50 meters away. Because the sides of the triangle are 50 meters, this is a 454590 right triangle so the angle would be about 45 degrees above the crater floor.


NASA / JPL 3D Solar System 

Extend your new knowledge  Visit the moon using the EOSS simulator and explore how LRO orbits the moon and creates highresolution maps of the lunar surface. [ Open PDF ] 
