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### The Factor Game

6-8

The Factor Game engages students in a friendly contest in which
winning strategies involve distinguishing between numbers with many
factors and numbers with few factors. Students are then guided through
an analysis of game strategies and introduced to the definitions of *prime*and

*composite*numbers.

### Finding Our Top Speed

6-8

This lesson sets the stage for a discussion of travel in the solar system. By considering a real-world, hands-on activity, students develop their understanding of time and distance. Finally, students plot the data they have collected.### Five's a Crowd

6-8

Students play a game in which they try to list 5 countries or states in order from most crowded to least crowded. Using area and population data from a Web site, they estimate quotients to make their list. They determine whose list is closest to the actual order by applying a mathematical model (scoring system), which they later evaluate.### Fun with Baseball Stats

6-8

The following grades 6-8 activities allow students to explore
statistics surrounding baseball. They are exposed to connections
between various mathematical concepts and see where this mathematics is
used in areas with which they are familiar. This lesson plan is adapted
from the May 1996 edition of *Mathematics Teaching in the Middle School.*

### Blue Squares and Beyond

6-8

This Internet Mathematics Excursion is a pre-activity for E-example 6.3
from the NCTM Principles and Standards for School Mathematics. This is
the first in a sequence of four lessons designed for students to
understand ratio, proportion, scale factor, and similarity. This lesson
invites students to manipulate two rectangles to create examples of
similarity and to study the effects on area ratios. Students sketch
similar figures, verify proportionality, and apply these concepts to
structures in their world.### Go With Green Rectangles

6-8

This Internet Mathematics Excursion is based on E-example 6.3
from the NCTM Principles and Standards for School Mathematics. This is
the second in a sequence of four lessons designed for students to
understand ratio, proportion, scale factor, and similarity using
perimeter and area of various rectangular shapes. Students manipulate
2-dimensional rectangles to focus on the relationship between the scale
factor and ratio of perimeters of similar rectangles, and the
relationship between scale factor and ratio of areas of similar
rectangles.### Fill'r Up

6-8

This Internet Mathematics Excursion is based on E-example 6.3.2
from the NCTM Principles and Standards for School Mathematics. This is
the third in a sequence of four lessons designed for students to
understand scale factor and volume of various rectangular prisms. In
this lesson, the student can manipulate the scale factor that links two
three-dimensional rectangular prisms and learn about the relationships
between edge lengths and volumes.### Purple Prisms

6-8

This Internet Mathematics Excursion is based on E-example 6.3.2
from the NCTM Principles and Standards for School Mathematics. This is
the last activity in a sequence of four lessons designed for students
to understand scale factor and surface area of various rectangular
prisms. Students manipulate the scale factor that links two
three-dimensional rectangular prisms to learn about edge lengths and
surface area relationships.### Classic Middle-Grades Problems for the Classroom

6-8

This lesson presents two classic problems (*Mangoes Problem*and

*Sailors and Coconuts*) that can be represented and solved in several different ways. Middle-grades students work in groups on the problems to promote communication of mathematical ideas, and a variety of classroom solution attempts are described. This lesson plan was adapted from an article, written by Jerry Stonewater, which appeared in the November‑December 1994 issue of

*Mathematics Teaching in the Middle School*.

### Shops at the Mall

6-8

Students participate in an activity in which they develop number sense in and around the shopping mall. They solve problems involving percent and scale drawings.