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Lesson Plans: Arithmetic
This list contains some of the best sites for
individual arithmetic lesson plans or materials on which to
base them. For a more exhaustive list, or to find
materials that fit your specific needs, search or browse
Arithmetic/Early Math
or Lesson
Plans in the Forum's Internet Mathematics Library.
 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
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 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
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 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
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 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
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 Does the Number e have Special Meaning?
 Spencer, Chan; Univ. of Toronto Mathematics Network

Answers, explanations, and expositions of the question, Does the number e have any real physical meaning, or is it just a mathematical convenience?
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 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
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 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
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 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,
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 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
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 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
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 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
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 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
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 Introduction to Fractions for Primary Students
 Varnelle Moore

A Web unit designed to introduce young children (K2) to beginning concepts in fractions: equal parts, divide and shade, parts to whole, and writing
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 Introduction to Measurement for Primary Students
 Varnelle Moore

A Web unit designed designed to engage young children in a series of activities where they measure and describe the attributes of integer bars:
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 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
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 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
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 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
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 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
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 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
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 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
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 Pascal's Triangle
 Math Forum/USI

A Web unit designed to support workshops given by the Math Forum for the Urban Systemic Initiative (Philadelphia and San Diego). Read about the
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 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
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 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.
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 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
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 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,
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 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,
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 The Twelve Days of Christmas and Pascal's Triangle
 Judy Brown, DIMACS and The Math Forum

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."
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 The Twelve Days of Christmas
 Judy Brown, DIMACS and The Math Forum

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
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 UBUYACAR
 Maricopa Center for Learning and Instruction

An online problembased learning manual for students that poses the question: "You are interested in purchasing a new vehicle. What should your annual
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 For more, search or browse
Arithmetic/Early Math
or Lesson
Plans in the Forum's Internet Mathematics Library.
