This summer workshop will have two rooms with concurrent sessions. You can attend either session in the morning and either session in the afternoon.

The workshop is free, but if you plan to attened, please register onlne at this Eventbrite link.

Location:

Lynnwood High School

18218 North Road
Bothell, WA 98012

Click here for driving directions to Lynnwood High School

Program Schedule

8:30-9:00 Registration, Pastries and Social Time

9:00--12:00: Morning Sessions

12:00 - 1:00 Lunch*

1:00 - 4:00 Afternoon Sessions

Jim King, University of Washington Mathematics

Two Sessions on Transformations in Plane Geometry
Transformations have taken on new importance in secondary school mathematics with the emphasis in the Common Core State Standards on rigid motions and dilations.  In these sessions, we will use hands-on methods, technology and coordinate geometry to explore aspects of these transformations.

Morning Session 9:00 – 12:00: Rigid Motions and Congruence
In this session we will explore the properties of rigid motions in the plane using hands-on methods, with technology, and a bit of coordinate geometry in the spirit of the 8th grade CCSS.  In particular we will consider the definition of congruence by means of rigid motions and how congruence of two figures can be established by a sequence of rigid motions.  We will also investigate how symmetries of plane patterns can be used to illustrate the properties of rigid motions.

Afternoon Session 1:00 – 4:00: Dilations, similarity and proofs with transformations
This session will begin with the study of the properties of dilations and how similarity is defined using dilations.  Problems of similarity will be solved with dilations and with combinations of rigid motions and dilations.  In addition, we will spend some time considering how to make geometrical arguments and prove theorems with transformations.  And, equally important, we will consider what is changed and what is NOT changed in a geometry course when congruence and similarity are defined by transformations.

A link to slides from this Workshop (in pdf format) is found on this webpage: http://www.math.washington.edu/~king/write/index.html

Local Hosts: Clint Chan, Joyce Frost