6-8
In this lesson, students classify polygons according to more than one
property at a time. In the context of a game, students move from a
simple description of shapes to an analysis of how properties are
related. This lesson was adapted from an article which appeared in the
October, 1998 edition of
Mathematics Teaching in the Middle School.
6-8
Students discover and explore a special kind of tiling of the plane. Rep‑tiles are geometric figures such that
n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of
n.
Spatial sense is encouraged by the need to visualize and perform
transformations with the shapes involved. This lesson was adapted from
an article by Linda Fosnaugh and Marvin Harrell, which appeared in the
January‑February 1996 edition of
Mathematics Teaching in the Middle School. 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.
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.
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.
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.
6-8
Students investigate properties of perimeter, area, and volume related
to various geometric two- and three-dimensions shapes. They conjecture,
test, discuss, verbalize, and generalize patterns. Through this process
they
discover the salient features of the
pattern,
construct understandings of concepts and relationships, develop
a language to talk about the pattern,
integrate, and
discriminate
between the pattern and other patterns. When relationships between quantities in
a pattern are studied, knowledge about important mathematical relationships and
functions emerges.
6-8
Students identify and classify polygons according to various
attributes. They then sort the polygons in Venn Diagrams, according to
these attributes. Extensions to fundamental ideas about probability and
statistics are also included. This lesson was adapted from an article
written by Carol G. Williams, which appeared in the March‑April 1998
edition of
Mathematics Teaching in the Middle School.
6-8
Students explore two-dimensional space via an activity in which they
navigate the coordinate plane. This NCTM Publication-Based Lesson Plan
is adapted from the article,"Tips for Teaching Cartesian Graphing:
Linking Concepts and Procedures" by Cathy G. Schloemer, which appeared
in Teaching Children Mathematics, Vol. 1, No. 1 (September 1994) pp. 20-23.
6-8, 9-12
This grades 7-12 activity allows students to look for patterns within the given data. After looking at the pattern, the student should be able to form generalizations for the problem. Furthermore, this activity sharpens the algebraic skills of the students. The problem sharpens visualization skills.
