Problem Set 1.1: The Language of Measurement

Problems

  1. {"partTitle"=>"The Apprentice's Practice: Foundational Skills", "instructions"=>"Complete the following problems, showing dimensional analysis and significant figures.", "problems"=>[{"problemNumber"=>1, "text"=>"Convert a speed of 110.0 km/hr to m/s."}, {"problemNumber"=>2, "text"=>"The distance to the moon is approximately 384,400 km. Express this in meters in scientific notation."}, {"problemNumber"=>3, "text"=>"Calculate the area of a rectangle with sides measuring 12.8 cm and 4.2 cm. Report your answer with the correct number of significant figures."}]}
  2. {"partTitle"=>"The Journeyman's Task: Synthesis & Application", "problems"=>[{"problemNumber"=>4, "text"=>"In the Eratosthenes lab, assume 805 km and 7.20°. The distance was measured by steps (0.76 m per step). How many steps is this? Convert the distance to meters and show dimensional analysis."}]}
  3. {"partTitle"=>"The Master's Insight: Metacognitive Reflection", "problems"=>[{"problemNumber"=>5, "text"=>"Our model of Eratosthenes assumes parallel sun rays. Why is the deviation negligible, and how does this illustrate the CCC 'Scale, Proportion, and Quantity'?"}]}