


Mathematics Skill or Topic Area: Area of Polygons 

Next Gen Science Framework: PS1.A: Structure and Properties of Matter; PS1.B: Chemical Reactions; Patterns 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: CCSS.Math.Content.6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. CCSS.Math.Content.6.G.A.3 Draw polygons in the coordinate plane given coordinates for the vertices. Apply these techniques in the context of solving realworld and mathematical problems. 

Video Engagement: Snowflakes  Snowflakes are actually a history of what was happening in the atmosphere as the snowflake formed and fell to the ground. Find out how you can help NASA scientists study different types of snowflakes to learn about the atmosphere and changes in climate. (4 minutes) View Program 


Explore math connections with SpaceMath@NASA 

Problem I  Graphing a Snowflake Using Symmetry  Students plot the coordinate points for a snowflake in the First Quadrant and connect the points with line segments. Then students use reflection symmetry to 'mirror' these points into the other three Cartesian quadrants. [Open PDF ] Problem II  The Surface Area of a Snowflake  Students use the properties of right triangles, specifically the area formula, to determine the area of a snowflake pattern. [Open PDF ] 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. Explain why you set the problem up this way, and how you might find its answer. Evaluate your understanding: Challenge Problem  Snowflakes come in many shapes and sizes. In this problem, students explore how the surface area of a snowflake is related to how fast it grows. [Open PDF ]
For additional problems and resources relating to snow research, visit the NASA, History of Winter website at:
