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```    MATH TOOLS NEWSLETTER - DECEMBER 13, 2008 - No. 70

***FREE ONLINE PROFESSIONAL DEVELOPMENT WORKSHOPS
For teachers of students in grades 5-9, we offer
online workshops:

Technology and Algebraic Reasoning
http://mathforum.org/nsdl_mathtech/online/

http://mathforum.org/nsdl_mathtech/online/prob.html

The \$100 workshop fee is currently covered by a grant from
the National Science Foundation. Next sessions start
January 12, 2009.

***ONLINE PROFESSIONAL DEVELOPMENT COURSES
Designed for teachers who want to implement problem solving
more effectively, these moderated courses led by Math Forum
professional staff take place online using Blackboard Vista
(formerly WebCT) or Blackboard.

All individuals who successfully complete the course will
receive a certificate indicating that they have completed
15 hours of professional development. This is equivalent
to 1.5 Continuing Education Units (CEUs). Current prices
for each course start at \$149.

http://mathforum.org/pd/

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As you browse the catalog, please take a moment to rate a
resource, comment on it, review it -- join an existing
conversation, or start a new discussion!

***FEATURED TOOL
Tool: Eyeballing Game
http://mathforum.org/mathtools/tool/65539/
Matthias Wandel
Use estimation to solve geometric tasks such as moving a ray
so that it is an angle bisector, and moving a vertex of a
quadrilateral so that it becomes a parallelogram. The score
for each task is based on how close one gets to the correct
each time one plays.

***FEATURED ACTIVITY
Activity: Adding Integers Lab - Discovering the Rules
http://mathforum.org/mathtools/activity/69506/
Victoria Miles
This activity uses virtual color chips from the National
Library of Virtual Manipulatives (NLVM) to help students
understand zero pairs and derive the rules for

***FEATURED ACTIVITY
Activity: Algebraic Equations
http://mathforum.org/mathtools/activity/69508/
Victoria Miles
This lesson involves another useful applet from the National
Library of Virtual Manipulatives. It is a good introduction
to solving two-step equations for grade 6 or 7, or an
effective review lesson for grade 8.

***FEATURED ACTIVITY
Activity: Converting Units and Rates
http://mathforum.org/mathtools/activity/69509/
Victoria Miles
This lesson puts some fun into dimensional analysis! The
author reflects, "I used to teach converting units/rates
by demonstrating on the chalkboard (boring!), but my
colleague created this lesson, which uses an interactive
applet from the National Library of Virtual Manipulatives."

***FEATURED ACTIVITY
Activity: Exploration: Factor Trees, Prime Factorization,
GCF, LCM
http://mathforum.org/mathtools/activity/69510/
Victoria Miles
This lesson has been successful with students of all ability
levels in grades 5 - 8 (change the examples for lower
grades). Many teachers are not aware of this Venn Diagram
approach to find GCF and LCM until they use the
applet themselves.

***FEATURED ACTIVITY
Activity: Exploring Distance, Rate, and Time (Classwork)
http://mathforum.org/mathtools/activity/69511/
Victoria Miles
This lesson involves the Runners' applet from the NCTM
website. The applet uses two runners, and allows for a
variety of parameters. Changing the parameters on the applet
helps students develop an understanding of how distance,
rate, and time are related.

***FEATURED ACTIVITY
Activity: Exploring Distance, Rate, and Time (Homework)
http://mathforum.org/mathtools/activity/69513/
Victoria Miles
This worksheet follows up on the classwork activity.
the web, it is more beneficial for students to use the

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