This lab will use Geometry Through the Circle (GTC). We will skip around
a bit in GTC, so please follow the directions on this page.
Chapter 2
We will quickly do Exploration 2.1, following a demo on the projector. This
introduces Trace Line.
Construct the triangle CEF in Exploration 2.2 and trace the midpoint as
on page 15. This introduces Trace Point.
Skip page 16.
Do Investigation 2, pp. 17-18, up to Construction Problems. This introduces
Animation Buttons.
Answer in writing Questions 1 to 4 on p. 17 and at the top of page 18.
Do the constructions on page 19. Check that they pass the drag test.
Chapter 3
Work through Exploration 3.1, all 3 Investigations, pp. 25-28. In I1, you
will see the traces of a circle family. You should also be able to spot some
kites. In I2, you have a different take on the same family. What Principle
and what homework problem is being illustrated here. In I3 you have defined
a new concept called line reflection and have seen how it is implemented
in Sketchpad.
Work through Exploration 3.2, both Investigation 1 and Investigation 2 on
pp. 30-31, up to the Explore More.
Work through Exploration 3.3, especially page 33 through the circumcircle
script on page 34. Then Apply this script to experiment with Explore More
— Corner Circles.
Continue with as much more of Exploration 3.3 for which you have time.