This list offers good places to begin looking for individual middle
school lesson plans or materials on which to base them. For more sites, see our
page of
middle school lesson plan collections, or
browse or search the Forum's
Internet Mathematics Library.
Selected MiddleSchool Level Lessons
 3D Drawing and
Geometry  Cathi Sanders
 A Math Forum Summer 1998 Institute project that uses examples of
paintings, architecture, etc. to analyze different types of 3D drawings,
and teaches students how to create them. Careers in 3D drawing that use
these techniques, from architecture to movies, are also illustrated. Types
include isometric, oblique, and perspective drawings. A drawing project for
students is outlined and submissions are invited.
more>>
 Adventures in
Statistics  Scavo, Petraroja
 A Web unit preprint of a paper by teachers Tom Scavo and Byron Petraroja
that describes a mathematics project involving fifth grade students and the
area of classrooms, including measurement, graphing, computation, data
analysis, and presentation of results; to appear in "Teaching Children
Mathematics."
more>>
 Algebra  Fun
with Calendars  Cynthia Lanius
 Take any calendar. Tell a friend to choose 4 days that form a square. If
your friend tells you only the sum of the four days, you can tell her what
the four days are. How does the puzzle work? Includes a extension page for
designing your own puzzle, teachers notes, and links to calendar pages on
the Web. Mathematics topics: assigning variables, solving simple linear
equations, factoring.
more>>
 Algebraic
Factoring  Suzanne Alejandre
 A Math Forum Web Unit. Vocabulary, objectives, materials. Students use
algebra tiles to explore algebraic factoring.
more>>
 The Area of a
Circle  Jon Basden, Highland Middle School
 A one or twoperiod lesson plan in which students use work sheets to
cut circles into sectors, rearrange them, and derive the formula for the
area of a circle.
more>>
 The Area of a
Parallelogram  Jon Basden, Highland Middle School
 A oneperiod lesson plan in which students use work sheets to cut a
parallelogram apart into trapezoids and explore the area of these polygons.
more>>
 Bricks Activity 
Suzanne Alejandre
 A classroom activity (also called the Masonry Problem; a variation on
polyominoes) aligned to the NCTM and California Standards, to be explored
through manipulatives (dominoes). Students explore different possibilities
of making brick walls with and without fault lines, using diagram, process,
and solution in their problem solving. A teacher lesson plan is provided.
more>>
 Chocolate
Thematic Unit  Joel Patrick; Explorer
 Provides a rationale for the thematic unit itself and a brief
description of each component resource. Component unit resources span the
mathematics, literature and geography curricula and are: "WWW Cocoa Math,"
"M & M Sort," "Hershey Fractions," "Charlie and the Chocolate Factory,"
"M & M's Chocolate Counting Book," "Chocolate Bibliography," "Mapping
Chocolate Factories," and "Chocolate Chip Math." Also lists select web sites
which include related instructional resources on the subject of chocolate
and ideas for using them in the classroom. PDF format.
more>>
 Classification of
Patterns  BrownHerbst, Donnelly, Stratton, AndersonNielsen; The Geometry
Center
 Materials about symmetry and classification of repeating patterns for
students in grades 710 using wallpaper patterns, to be used as either an
introduction or a review: a classroomready source of information. A final
project created for Math 5337, Technology in the Geometry Classroom, at the
Geometry Center, University of Minnesota.
more>>
 Combinatorics
Topics for K8 Teachers  Roger Day
 Notes from fifteen sessions of a 1996 course for professional
development. Includes a link to the home page for the course, where you can
see problem sets, quizzes, tests, and the syllabus. Note topics include:
Perfect Covers of Chess Boards, the Pigeonhole Principle, Summation and
Product Notation, Combinations, Circular Permutations, Arranging Items When
Repetition is Allowed, Pascal's Formula, Binomial and Multinomial Expansion,
Pascal's Triangle, Number of Subsets of a Set, Fibonacci's Sequence in
Pascal's Triangle, Solving sigma(i,1,n;a(i))=K Over Nonnegative Integers,
Induction, Recursion, Finite Differences, the Inclusion/Exclusion Principle,
and Derangements.
more>>
 Crystals:
Crystallography & Systems  Suzanne Alejandre
 A Math Forum Web Unit. Students studying polyhedra enjoy seeing the
structures as they occur in the real world. Crystalline structures can be
categorized into seven crystal systems: see photographs of beautiful
crystals or make paper models of crystals by printing out nets of crystals
and constructing the models. CrystalMaker software gives students experience
with ballandstick, spacefilling, wireframe, stick, dot surface cloud,
and polyhedral models of crystals. Also Java applets that show some of the
major forms for the hexoctahedralclass (symmetry 4/m3bar2/m) of crystals;
and links to Web sites about crystals.
more>>
 The Derivation of
Pi  Jon Basden, Highland Middle School
 A lesson plan spanning two class periods in which students measure the
diameter and circumference of each of the circular objects in the room,
record their data on worksheets, and recognize the pattern that
circumference divided by diameter is about 3.14159265358... (pi). more>>
 Designs with
Circles  Suzanne Alejandre
 A Math Forum Web Unit. Includes some background on circles in Islamic
cultures, and an activity exploring the geometry involved in some circle
designs.
more>>
 Dominoes Activity
 Suzanne Alejandre
 A classroom activity (similar to Pentomino + 1 = Hexomino; a variation
on polyominoes) aligned to the NCTM and California Standards, to be explored
through manipulatives (paper dominoes). Students explore whether it is
possible to cover a 6x5 grid with 15 dominoes, then build a variety of
"brick walls" and create a brick wall catalogue. A simple freeware program
(Macintosh only) by Kurt Kaufman can be used very easily to model this
problem. Links to related pentomino and Fibonacci sites on the Web and a teacher
lesson plan are provided.
more>>
 Dueling Pinwheels
 A Geometer's Sketchpad Activity  Cynthia Lanius
 Construction directions for rotations, translation, and reflection, with
questions to explore and a demonstration sketch to download.
more>>
 EggMath 
Bradlow, Sullivan, Levy, UIUC
 A collection of modules (including many interactive applets) for K12
classrooms, based on the theme of eggs. Topics include: the shape of an egg
(addressing symmetry and crosssection, surfaces of revolution, pin and
string construction of ellipses, Cartesian and Cassini Ovals), the
White/Yolk Theorem (how any two regions of the plane can be equally divided
 a specific case of the BorsukUlam Theorem, with a proof of the Theorem
included), spherical geometry, and embryo calculus (exponential growth and
the number e). Each module offers interactive Java components and additional
references. Part of the Chickscope project at the
Beckman Institute.
more>>
 Exploring
Mathematics Through Quilts  Debbie Meyer
 From The Apple
Barrel Quilt Unit, a cross curriculum patchwork quilt unit that provides
hands on math experiences. The Math & Quilts page lists
activities/lessons that might be incorporated into a larger unit and
includes a rough framework of ideas for such incorporations.
more>>
 Fractals 
Cynthia Lanius
 This lesson plan for exploring fractals is designed so 4th through 8th
grade students can work independently and be assessed innovatively. Conforms
to 1989 NCTM standards; links to other fractal sites. Contents: Why study
fractals? Making fractals: Sierpinski Triangle, Sierpinski Meets Pascal,
Jurassic Park Fractal, Koch Snowflake. Fractal Properties: Selfsimilarity,
Fractional dimension, Formation by iteration. TeachertoTeacher notes;
Fractals on the Web.
more>>
 Fractals:
Definition & Activities  Suzanne Alejandre
 A Math Forum Web Unit. Includes definitions and descriptions of
fractals, links to pages on the Sierpinski triangle, the Koch edge, the
Peano curve, the Lorenz attractor, and the Dragon curve; and more links to
fractal sites on the Web.
more>>
 Games on Graphs
(MegaMath)  Nancy Casey; Los Alamos National Laboratory
 Students use algebraic methods to explore, model, and describe patterns
and functions involving numbers, shapes, data, and graphs in problemsolving
situations and communicate the reasoning used in solving these problems.
Graphs, stories and games provide scenarios for games that student can play
on graphs. Also Three for the Money: The Degree/Diameter Problem, an
unsolved problem for students to work on, and other games that can help
students increase the range of possibility for games that they can invent on
graphs. Big Ideas and Key Concepts include pages on Graphs; Properties of
mathematical objects; Modeling; and Abstraction.
more>>
 Geometric
Factoring  Suzanne Alejandre
 A Math Forum Web Unit. Understanding factoring through geometry:
students work cooperatively to display a numeral as the area of a rectangle,
and make as many rectangular arrangements as possible for each numeral
given.
more>>
 The Golden Ratio
 Blacker, Polanski, Schwach; The Geometry Center
 Introduction to the Golden Ratio and Fibonacci Sequence. Instead of
simply supplying definitions and asking the student to engage in mindless
practice, students work through several activities to discover the
applications of the Golden Ratio and Fibonacci Sequence. With Geometer's
Sketchpad activities. A final project created for Math 5337, Technology in
the Geometry Classroom, at the Geometry Center, University of Minnesota.
more>>
 The Hand Squeeze:
A Data Collection and Analysis Class Experiment  Cynthia Lanius
 An experiment: measuring the amount of time that it takes for a hand
squeeze to pass around a circle. Record, graph, and analyze the data, and
make predictions about the time it would take for more people/greater
distances.
more>>
 Hotel Infinity
(MegaMath)  Nancy Casey; Los Alamos National Laboratory
 Will a hotel with an infinite number of rooms always have a vacancy?
Students develop number sense, use numbers and number relationships in
problemsolving situations, and communicate the reasoning used in solving
these problems. Key concepts include Infinity, Transfinite arithmetic, and
Onetoone correspondence.
more>>
 The Hot Tub:
Interpreting Graphs  Cynthia Lanius
 Questions to answer about a graph... Notice the connection between the
slope of the lines and the rate of change of the water depth. On what
segments is the slope positive, and the water depth increasing? negative,
and the water depth decreasing? On what segments is the slope 0, and the
water depth is constant?
more>>
 How to Make a
Spinner  Joanne Caniglia; Explorer
 Includes easy to follow instructions with graphics for constructing a
spinner to be used in lessons to reinforce the concept of fair and random
results. Suggested activities for its use with young children and for
lessons in probability are also included. HQX or PDF format. For a related
activity using the spinner see the Explorer file entitled "Race
to a Quarter."
more>>
 If Only Nice
Weather Could Last Year Round  Evan Glazer
 Students examine patterns and fluctuations in temperature data from
cities around the United States, creating a model of the data to help
predict the times during the year that these locations would be nice to
visit.
more>>
 It All Adds Up 
A MayaQuest '96 Lesson Plan
 The Mayan mathematical system: base 20. Activities and discussion for
primary and secondary grades, including converting from our base 10 to base
20, representing numbers in both systems and comparing length involved, and
other discussion questions.
more>>
 Just a Usual Day
at Unusual School (MegaMath)  Nancy Casey; Los Alamos National
Laboratory
 Students perform a play that takes place in a school where some of the
students always lie and the rest always tell the truth. Terry, the
protagonist, is trying to find out which students are which, but at the
beginning, there is no way of knowing whom to believe. Can you figure out
whom to believe in this play? With accompanying lesson plan and discussion
questions.
more>>
 Locker Problem 
Suzanne Alejandre
 A classroom activity (also called 1000 Lockers) aligned to the NCTM and
California Standards, to be explored through the use of manipulatives and a
ClarisWorks spreadsheet. Students then look for patterns and write the
answer algebraically. The problem: imagine you are at a school that still
has student lockers. There are 1000 lockers, all shut and unlocked, and 1000
students. Suppose the first student goes along the row and opens every other
locker. The second student then goes along and shuts every other locker
beginning with number 2. The third student changes the state of every third
locker beginning with number 3. (If the locker is open the student shuts it,
and if the locker is closed the student opens it.) The fourth student
changes the state of every fourth locker beginning with number 4. Imagine
that this continues until the thousand students have followed the pattern
with the thousand lockers. At the end, which lockers will be open and which
will be closed? Why? A teacher
lesson plan is provided.
more>>
 Machines That Eat
Your Words (MegaMath)  Nancy Casey; Los Alamos National Laboratory
 An introduction to the concept of finite state machines, and how they
are used to design computer systems that will recognize patterns. A finite
state machine is an imaginary (or abstract) machine that is used to study
and design systems that recognize and identify patterns. The idea of a
finite state machine is a powerful one that has many applications in
computer science. Mathematics as Problem Solving, Mathematics as
Communication, Mathematics as Reasoning, and Mathematical Connections are
critical items throughout the NCTM Standards. They appear at every level
because they form the core of what it means to do mathematics.
more>>
 Magic Squares:
Math, History, Geography  Suzanne Alejandre
 Designed primarily for middle school and older elementary school
students, this Math Forum Web unit includes classroom activities for four
different squares: Lo Shu, Sator, Dürer, and Franklin, three of them
demonstrating increasing complexity using numbers, and one made up of
letters, with number and symmetry questions and links and suggestions for
history / geography / writing activities for teachers interested in
interdisciplinary work. Includes directions for building magic squares,
definitions, discussion of some special properties of magic squares, a Java
applet, and links to other magic square Web sites.
more>>
 Math, Baseball,
and the San Francisco Giants  Linda Uhrenholt; Pacific Bell Education
First
 By answering specific questions about travel expenses, food, tickets,
etc., students determine the cost of attending a Giants' game, the time it
would take to get there, etc. Guided questions and useful links to Internet
resources are provided for 15 activities, with concluding problems such as
itemizing your total expenses at the game, finding examples of math used in
baseball not touched on in the activities, and writing your own definition
of baseball.
more>>
 Mathematics of
Cartography  Cynthia Lanius
 A map is a set of points, lines, and areas all defined both by position
with reference to a coordinate system and by nonspatial attributes. These
pages discuss how maps are used, give examples of different kinds of maps,
and cover map history and math topics  lines, points, areas, coordinates,
etc., in particular scale, coordinate systems, and projection. Also
Problems, Resources, Careers in mapmaking, Teachers' Notes, and References.
more>>
 Mighty M&M
Math  Longstaff, Conklin
 Ways to learn about fractions and percentages using M&M candies This
activity can be varied to fit your purposes and class level. Students can
work in pairs, recording their own data, and posting their information. It
helps if students know how to calculate averages and percentages.
more>>
 The Million $
Mission  Cynthia Lanius
 You have your choice of two payment options on your new job: 1. One cent
on the first day, two cents on the second day, and double your salary every
day thereafter for the thirty days; or 2. Exactly $1,000,000. (That's one
million dollars!) What's the best choice? Includes pages on exponential
growth and patterns, links to exponentials on the Web, questions, and
teachers notes.
more>>
 The Most Colorful
Math of All (MegaMath)  Nancy Casey; Los Alamos National Laboratory
 Coloring is a profound mathematical topic with multimilliondollar
industrial applications. The problem presented here has been of interest to
mathematicians for over a hundred years. With a few crayons or markers and
some handdrawn maps, children can quickly find themselves grappling with
the fourcolor map problem. Activities,
Background Information, Evaluation.
more>>
 Networks, Paths
and Knots: Grades 46 (KQED/CELL)  Koistinen, LeBlanc; Math Online, KQED,
San Francisco
 The Classroom Mailroom. Students build an understanding of networks,
paths and knots through movement and charting activities, beginning by
playing The "Knot of Humanity" game and then viewing the MathVantage ITV
program, Networks, Paths and Knots. They each create a classroom mail route,
test it, and link their network knowledge with a related activity in
topology: map coloring.
more>>
 New Ideas about
Knots  Nancy Casey
 Things Nancy Casey discovered after writing the basic MegaMath
information about knots.
Topics include: Tangled up pictures of tangled up ropes; Knot coloring
puzzles; Knots and counting; Pretzel knots.
more>>
 No Matter What
Shape Your Fractions Are In  Cynthia Lanius
 Students explore geometric models of fractions and discover relations
among them, reinforcing their knowledge of fractions by using online pattern
block activities. The lessons are designed for students to work
independently or with guidance from the teacher. Lessons should be printed
so students can draw and color the appropriate shapes. Teachers notes are
included.
more>>
 Pascal's Triangle
 Math Forum/USI
 A Web unit designed to support workshops given by the Math Forum for the
Urban Systemic Initiative (Philadephia and San Diego). Read about the history
of Pascal's triangle and learn to construct it; view illustrations of number patterns to be discovered; carry out interactive investigations
in Java script or the Geometer's Sketchpad, and explore this famous triangle
through lesson plans that feature questions, answers, discussion, and
student worksheets.
more>>
 PlaneMath 
InfoUse, in cooperation with NASA
 Materials for elementary school students about math and aeronautics,
designed to stimulate and motivate students with physical disabilities in
grades 47 to pursue aeronauticsrelated careers via the development and
delivery of accessible math education materials on the Internet. Recognizing
that math curricula for students in these grades is most often built around
the manipulation of tools such as pencils, compasses, and rulers, the
designers of this site have endeavored to teach the same concepts without
relying on the physical acuity of the student. Activities
involve finding the shortest path between two cities or how many people can
board your plane, flying a herd of buffalo to the prairies, learning to fly
a rescue helicopter and how planes lift, knowing when an overcast sky is
really overcast, flying a kite, and planning a flight around the country.
Teachers are invited to register their classes.
more>>
 Polyhedra in the
Classroom  Suzanne Alejandre
 Middle School student activities to pursue with a computer in the
classroom. Introduction to Polyhedra; paper nets to print out and fold;
Kaleidotile; Buckyballs; Crystals (paper nets, systems); Cube coloring
problems; links to polyhedra on the Web.
more>>
 Probability
Project: Take a Chance  Gwenn Holtz, Mary Lee Malen; The Levering School,
Philadelphia, PA
 A lesson plan for grades 58, involving handson, inquiry based
activities on probability: penny toss, die tossing, 4colored spinners,
etc., charting the data gathered. The site includes pictures and quicktime
movies of a 67th grade class doing the project, and student projects.
more>>
 Rectangle Pattern
Challenges  Cynthia Lanius
 Examine different stges of rectangle patterns, and describe what you
must do to get from one to the next. Observe the designs looking for
patterns. Use the symmetry of the design to help you count. Organize your
information into a table. On square grid paper create your own design,
showing at least 3 stages. It must have at least two lines of symmetry, and
it must follow a regular numerical growth pattern. On a separate sheet of
paper, fill in the calculations in a table like the one shown. Teachers
notes are included.
more>>
 The Right Time: An Investigation of a Clock's Angles  Jon Basden, Highland Middle School
 A twoperiod lesson plan in which students think through the process of
determining how many times in a 24 hour period the hands of a clock will
form a right angle, drawing from a variety of problemsolving methods to
solve the problem. They may wish to use a spreadsheet.
more>>
 River Crossing
(Math Exploration Quilt)  Rik Littlefield; Hanford School
 You want to cross a river to reach a point exactly opposite where you
are currently standing. Explore this problem stepbystep, encountering the
following basic ideas: 1) Pythagorean theorem; 2) time = distance / speed;
3) distance = time * speed; 4) sums and differences of distances; and 5) the
arcsine function for right triangles (which we didn't really need to solve
the problem, just to get the angle expressed in a familiar way).
more>>
 Scaling: Grades
710 (KQED/CELL)  Koistinen, LeBlanc; Math Online, KQED, San Francisco
 In this lesson, students gain an understanding of the concept of
similarity as it applies to geometric shapes and solids, and extend their
understanding to other similar objects. They are introduced to the concept
of scaling, and ratio and proportion, and how it applies in many industries.
more>>
 Soma Cube
Central  Jon Basden, Highland Middle School
 Students review the concepts of solid geometry, then try to determine
all of the ways that they can join no more than four cubes at their faces in
an irregular manner. The seven ways that one can join four or fewer cubes in
an irregular manner make up the pieces of the Soma Cube. After the students
discover the seven ways, they actually create Soma Cubes in class, exploring
geometric figures including cubes using the seven pieces, recording their
solutions, and trying to create their own puzzles.
more>>
 Stressed Out:
Slope as Rate of Change  Cynthia Lanius
 It's the night of the big game. You're in the locker room. The coach is
pumping the team up. "Now, I know you people are nervous. That's okay, in
fact, that's what we want. You're going to perform better on the court
(stage) if you're a little nervous." Does the graph shown confirm what the
coach told you? Write a statement that describes performance as stress
increases... This lesson introduces basic knowledge and skills important to
a study of functions in algebra and lays the groundwork for calculus.
more>>
 Studying
Polyhedra  Suzanne Alejandre
 What is a polyhedron? A definition and a Java applet to help in
exploring the five regular polyhedra to find how many faces and vertices
each has, and what polygons make up the faces. Also links to a page of
information about buckyballs,
stories written by students after studying polyhedra, other sites with
information about regular polyhedra, and other sites with information about
Greece and Greek mathematicians.
more>>
 Survey Results 1999: LITES Data Collection Unit  Jon Basden, Highland Middle
School
 Students use scientific methodologies to analyze information about the
characteristics and preferences of the students in their class to make
predictions about the students in the other classes. After finishing the
research on the students in their own school, they use data gathered from
classes in online partner schools to conduct similar analyses, and draw
conclusions related to the geographic locations of those schools. Five
phases are provided, with links to sites on the Web for more ideas.
more>>
 TableTop
Earthquakes  John C. Lahr
 A demonstration of seismology for middleschool teachers and students
that can be used to augment lessons in earth science (faulting, elastic
rebound, plate motions), physics (forms of energy, elasticity, friction,
magnetism, waves), math (graphing, logarithms, probability), social studies
(hazard mitigation), and geography (global distribution of earthquakes).
more>>
 Taking Stock 
Donlan, Post, Christman; Happy Valley School District, Santa Cruz, CA
 A multigrade project focusing on the stock market with participants in
grades 5 through 12 from California to New York to Florida, including up to
50 schools per session (fall or spring) across the country. The integrated
thematic project begins with 6 activities and worksheets available for
downloading from the site: Understanding the Stock Page; Fractions of a
Dollar; Stock Symbols; Profit and Loss; Corporate Research; and Persuasive
Letters.
more>>
 Tangrams  Tom
Scavo
 Tangrams, a puzzle that helps develop spatialvisualization skills, may
also be used to introduce or reinforce geometric concepts such as
congruence, similarity, symmetry, etc. This unit for grades 4 through 6 uses
tangrams to compute the area of polygons without formulas, introducing
the terms congruent and similar. Contents: Constructing Your Own Set of
Tangrams; The Area of Tangram Pieces; More Tangram Activities. Links to
other tangram resources on the Web are also provided.
more>>
 Tell Time with
your Feet  Susan Addington; Mathematics Dept., CalstateSan Bernardino
 "A feeton math lesson for K8 students." Find the latitude and
longitude of your location and times of sunset and sunrise using a table
from the Web; using a shadow table (also on the Web) measure your shadow by
pacing it off with your feet and find the time of day. Other classroom
extension activities are suggested.
more>>
 Tessellation
Tutorials  Suzanne Alejandre
 A series of tutorials that teach students how to tessellate (somewhat in
the style of the art of M.C. Escher) using HyperCard for black and white
and/or HyperStudio for color, ClarisWorks, LogoWriter, templates, or simple
straightedge and compass. The tessellation lessons include units
incorporating rotations and glide reflections, a section called "Where's the
Math" that elaborates on some underlying geometric principles, comments
contributed by others, and samples of
student work.
more>>
 Three for the
Money: The Degree/Diameter Problem (MegaMath)  Nancy Casey; Los Alamos
National Laboratory
 Students can understand and work on an unsolved problem in mathematics.
There is a good chance that this problem can be solved by someone who spends
enough time experimenting with it. The only skills required to work on it
are the ability to draw dots and connect them with lines, and the
understanding of four ideas related to graphs: degree, diameter, planarity,
and size. With ideas for discussion.
more>>
 Tour of Symmetry
Groups  Lori Thomson; The Geometry Center
 A Web unit that covers Types of Symmetry (Translation, Reflection, Glide
Reflection, Halfturn, Combinations); Symmetry in Frieze Groups (Patterns,
Groups, Lengthwise and Crosswise Symmetry); Using Kali to Explore Frieze
Groups (with beginning and advanced exercises and pattern galleries); and
Symmetry in Wallpaper Groups.
more>>
 Traffic Jam
Activity  Suzanne Alejandre
 A classroom activity (also called Hop, Skip, Jump) aligned to the NCTM
and California Standards, to be explored through large movement experience,
manipulatives, and an interactive Java applet. Students then revisit the
activity, look for patterns, and write the answer algebraically. The
activity: there are seven stepping stones and six people. On the three
lefthand stones, facing the center, stand three of the people. The other
three people stand on the three righthand stones, also facing the center.
The center stone is not occupied. Everyone must move so that the people
originally standing on the righthand stepping stones are on the lefthand
stones, and those originally standing on the lefthand stepping stones are on
the righthand stones, with the center stone again unoccupied. A teacher lesson
plan is provided.
more>>
 The Twelve Days
of Christmas  Judy Brown
 A lesson in which students find the number of items given each day in
the song, "The 12 Days of Christmas." This project is designed to be used as
a warmup activity during the 12 days preceding Christmas.
more>>
 The Twelve Days
of Christmas and Pascal's Triangle  Judy Brown
 A lesson in which, using Pascal's triangle, students find the number of
items given each day in the song, "The 12 Days of Christmas."
more>>
 Untangling the
Mathematics of Knots (MegaMath)  Nancy Casey; Los Alamos National
Laboratory
 Fundamentals of knot theory for a wide range of levels  a variety of
activities for exploring knots made from pieces of rope. Students can make
and verify observations about knots, classify them, combine them, and find
ways to determine if two knots are alike. The activities outlined here can
be combined to form a single lesson about mathematical knots, or a larger
investigative unit that extends over a longer period of time. Key concepts
include knot theory, topology, operations, and proof.
more>>
 Weather Here and
There  Foster, Walton, Foertsch
 An integrated weather unit that incorporates interaction with the
Internet and handson collaborative problemsolving activities for students
in grades four through six. Lessons integrate math, science, geography, and
language arts in the process of teaching and learning about weather
phenomena. Students become involved in collaborative problem solving using
email as well as through joining projects offered via the Internet. The
first three lessons focus on learning basic meteorological concepts about
weather elements, how to take measurements using appropriate weather
instruments, and recognizing basic weather trends and patterns. The last
three lessons focus on studying weather maps and applying the knowledge and
experience about weather to associate weather trends and patterns in the
process of making accurate forecasts. The unit culminates with a weather
broadcast of a twentyfour hour forecast presented by students and focusing
on a network of weather stations in the United States created by the
students. Includes links to Illinois Standards and a Bibliography.
more>>
 WebJourney  Jon
Basden, Highland Middle School
 Using the Internet to plan the amount of time, money and effort involved
in going on a trip around the U.S. A lesson plan and sample journey are
included, as well as detailed instructions for students.
more>>
 Where Have All
the People Gone? Grades 79 (KQED/CELL)  Koistinen, LeBlanc; Math Online,
KQED, San Francisco
 In this lesson, students are introduced to the concept of data
collection, analysis, and presentation. They visit the U.S. Census Bureau on
the Web to collect data on regional populations from 19001990; and present
their findings in both oral and written form. Using the topic of population
and population changes, this lesson is easily expandable to an integrated
lesson with Social Studies and Language Arts and a Core Integrated Program.
more>>
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