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Pathways Mathematics

Sample Question 3

Pathways is a research-based and research-proven mathematics curriculum and professional development project. Our goal is to support instructors in facilitating engaging, coherent, student-centered lessons that promote deep learning of critical mathematical ideas.

Starting at P and ending at Q, an object travels counterclockwise k feet along a circle with radius 47 feet. If d represents the directed distance (in feet) from the horizontal diameter to Q, which of the following could express d as a function of k? 

  • (a) d = 47sin(k)
  • (b) d = 47sin(47k)
  • (b) d = 47sin(k/94)
  • (d) d = 47sin(47/k)
  • (e) d = 47sin(k/47) [CORRECT]

28% of non-Pathways students answer this question correctly. 74% of Pathways students answer this question correctly.

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