Standards and Sources
The standards that apply to this lesson are:
Standards
CCSSM/Maryland College and Career Ready Standards
Previous standards that provided prior knowledge:
CCSS.MATH.CONTENT.7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Current standard being addressed:
CCSS.MATH.CONTENT.HSG.C.A.2
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Standard to be addressed in the next lesson:
CCSS.MATH.CONTENT.HSG.C.A.3
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle
Standards for Mathematical Practice
Model with mathematics.
Use appropriate tools strategically.
Look for and make use of structure.
STEM Standards of Practice
Integrate Science, Technology, Engineering and Mathematics Content
Interpret and Communicate Information from Science, Technology, Engineering, and Mathematics
Research Considerations
Fetter, A. (2015, October). Sense Making? Aren’t We Already Doing That In Literacy?
Presented at the meeting of the National Council of Teachers of Mathematics,
Atlantic City, NJ.
Perry, D. R., & Steck, A. K. (2015). Increasing Student Engagement, Self-Efficacy, and
Meta-Cognitive Self-Regulation in the High School Geometry Classroom: Do iPads
Help? Computers in the Schools, 32(2), 122-143.
http://dx.doi.org/10.1080/07380569.2015.1036650
Pictures and Videos:
https://www.reference.com/math/circles-used-real-life-5a9cee1968769425
http://www.tolkienshop.com/contents/en-uk/d131.html
http://time.com/4834213/spiderman-movie-ranking/
https://mymajicdc.com/3649232/nestle-recalls-drumstick-ice-cream-cones/
https://fractad.wordpress.com/tag/harpeth-hall/
https://www.youtube.com/watch?v=4R2aW03pwL0