Tuesday, 2/16/16: Beginning Lesson 9-1, on Translations

We are beginning Unit 4, which is on using transformations to establish congruence, using transformations to establish similarity, the Pythagorean theorem, angle relationships in parallel lines and triangles, and the volume of cylinders, cones, and spheres.

We're starting with transformations, of which there are four types:

• translations (slides)
• reflections (flips)
• rotations
• dilations (zooming in or out)

Students, parents / guardians, and tutors, as we move forward, there are going to be two key tools that will help students with transformations (in addition to the normal internet and textbook resources):
First, I've given each student a section of tracing paper (to be kept in the plastic sleeve with the class assignment sheet and used for the entire unit).  For many students this will be of significant help, using the tracing paper to mimic the motion.  Second, look for patterns in the ordered pairs (x and y combinations) pre-image (the before) to image (the after).  From the very beginning, I am going to be making my students record all of the ordered pairs, before-and-after.  The patterns they will discover there will really help them.

We've set up Lesson 9-1 today, but need to continue it into Wednesday.  Formal homework tonight would be counter-productive, but students should be previewing Lesson 9-1 tonight for their "homework."  Many of my students have already done so.  You can expect formal homework beginning tomorrow night.