# NWMI Summer Institute: Geometry and the Common CoreJuly 29 - August 2, 2013

SGI Content

This week of geometry continues the Summer Geometry Institute offered by NWMI since 1995, but with a new emphasis on elements in the Common Core State Standards that differ from the curent Washington State Standards. In 2013 the NWMI Summer Geometry Program has been revised and structured around key ideas in the content standards. Teachers will work through engaging activities that illuminate important content standards in geometry and that exemplify standards of mathematical practice.  This will include time for teachers to see explicitly how the activities relate to the Common Core Standards

In addition to content topics, the CCSS also includes as a required element the Standards for Mathematical Practice of CCSS. As topics are taught, the inclusion of these standards of practice will be considered carefully.

The Common Core State Standards bring a different lens to middle school and high school geometry.  Teachers will likely find that they need to reconsider how and when certain topics are taught. In the CCSS, one perspective that is particularly important is the key role of rigid motions (translations, rotations, reflections) and dilations as the basis of congruence and similarity, starting in middle school.  These transformations and their properties are the foundation of geometry in the Common Core.

The NWMI program is is taught by the experienced corps of NWMI high school teachers (with help from mathematicians at UW and elsewhere). You will enjoy a week of high-energy immersion in geometry and sharing with other teachers.

Leave with a thick notebook, models you have made, and the confidence to use these activities in your classroom.

• PLUS a rich and relaxed optional program of After-Dinner Math.
Some Samples from the Common Core
• Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
• Represent transformations in the plane using, e.g., transparencies and geometry software.
• Understand congruence in terms of rigid motions
• Understand similarity in terms of similarity transformations
• Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
• Understand and apply theorems about circles
• Translate between the geometric description and the equation for a conic section
• Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
• Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost.
FOR WHOM?
HS and MS Teachers who teach a geometry course or who teach geometry in an integrated course or middle school course. Any teachers who want a richer set of tools for addressing the geometry and measurement in the Math Standards of Washington and the Common Core.

Registration fee for commuters is \$179 (includes lunches but no lodging). Lodging is available for an additional fee. See the Fees and Costs Page for details.

Registrations will be accepted until the courses are full. Room reservations can be requested after June 25 but rooms may not be available. For any cancellations after June 25, a cancellation fee will be applied.

MEALS
Lunches are included for all, Monday-Thursday. Breakfasts Monday-Friday are included for those staying on campus.
LODGING

A package of dormitory lodging and some meals is available as an option. This includes five nights of lodging in a UW dormitory (single room, bath shared), five breakfasts and five lunches. See the Fees and Costs page for details.

CREDIT/CLOCK HOURS

Applications for credit or clock hours will be made on site when you arrive.

Thirty-five clock hours will a available for an additional cost of \$2.00 per hour. You can include up to 8 additional hours for After-Dinner Math. Payment for clock hours is by check only, not credit card. Be sure to bring your checkbook for clock hours.

Two UW credits of Math 497 will be available for an additional cost ( the 2012 cost was \$237; 2013 cost TBA). Payment for UW credit is with credit card or check. (For UW math credit, 6 additional hours of After-Dinner Math are required.)

DAILY START AND STOP TIMES
• Sunday 7/28: 7-8:30 PM -- an optional evening program to kick off the week and provide information!
• Mon-Thu 7/29 - 8/1: From 8:30 AM to 5:00 PM - a full day of great geometry.
• Fri 8/2: 8:30AM - 12:00 Noon - a last morning of activities.
• Mon-Thu 7:30-9:30 - Optional After-Dinner Math
REGISTRATION FORMS (Do Both Steps!)