SMILE PROGRAM MATHEMATICS INDEX


The SMILE website is hosted by the Illinois Institute of Technology

The following is a collection of almost 200 single concept lessons. These lessons may be freely copied and used in a classroom but they remain the copyright property of the author.

The Mathematics lessons are divided into the following categories: Geometry and Measurement, Patterns and Logic, Probability and Statistics, Recreational and Creative Math, Practical and Applied Math, Arithmetic, Graphs and Visuals, Algebra and Trigonometry, and Miscellaneous.

Geometry and Measurement

  • The Pythagorean Puzzle by Earl Zwicker - Illinois Institute of Technology - Dedicated to Prof. Harald Jensen, Lake Forest College
  • Areas of States - Estimation by Janice C. Harvey - Carver Middle School
  • Liquid Volume by Robert Foote - Disney Magnet
  • Spherical Geometry: A Global Perspective by William R. Colson - Morgan Park High School
  • Geometry Distance of Triangles using a Protractor by Eileen Lally - A. Philip Randolph Magnet School
  • Circles - Diameter, Circumference, Radius and the Discovery of Pi by Kathleen Ryan - Randolph Magnet School
  • How To Measure Area by Levi Johnson - James Otis
  • An Introduction to Pi and the Area of a Circle by Edwina R. Justice - Gunsaulus Scholastic Academy
  • Area and Perimeter by Monica Starks - John Fiske Elementary
  • Shapes (Geometric) (Lesson 2) by Violet M. Nash - Spencer Math and Science Academy
  • Shapes (Geometric) (Lesson 1) by Violet M. Nash - Spencer Math and Science Academy
  • Measurements: Inches by Joyce McCoy - Spencer Math & Science Academy
  • Getting To Know You by Kathy Koval - Randolph School
  • Inch by Inch and Centimeter by Centimeter Extravaganza by Pamela J. Bates-Hines - Ninos Heroes Academy
  • Interior Design by Sally Hill - Horatio May Community Academy
  • Maximizing & Minimizing the Area of Rectangles Given a Fixed Perimeter by Tim Amrein - Franklin Fine Arts Center
  • Phenomenological Pizza by Robert Foote - Disney Magnet School
  • An Introduction To Volume by Linda James Woods - Harold Washington Elementary School
  • Measurement of Volume by Richard Murray - Gage Park High School
  • Volume and Surface Area by Charlotte Goldwater - Kenwood Academy
  • An Introduction to Area and Perimeter by Edwina R. Justice - Gunsaulus Scholastic Academy
  • An Introduction to Estimation and Measurements by Christeen Brown - Robert Fulton Elementary
  • Circumferences, Diameters, and Radii by Dwayne Belle - Fuller School
  • Measuring in Inches and Centimeters by Debra Thomas - Douglass Math and Science Academy
  • Estimation by Iona Greenfield - Carnegie Elementary School
  • Measurement of Objects Using Similar Triangles in The Plane by John Gabrielson - Chicago H.S. for Agri. Science
  • Travel Triangles by Sarah Barrett - Mars Hill School
  • Measurement-What is it? by Claudy E. Chapman - Hartigan School
  • Finding the Sum of the Exterior and Interior Angles of a Polygon by David Drymiller - Morgan Park High School
  • Forming, Measuring and Labeling Angles by Essie Lee May - May Community Academy
  • What's My Area? by Karen L. Mickel - William Carter Elementary School
  • Geometry and the Geoboard by Jacqueline Darling - Simmye Anderson Community Academy
  • An Introduction to Angles by Samuel A. Anoma - Hyde Park Career Academy
  • Use A Chair To Teach Math by Laura B. Reed - Rosa L. Parks
  • Measurement (cup, pt, qt, gal) by JoAnn Campbell - Leslie Lewis School
  • Measurements In The Metric System by Christine Fair - Farragut Career Academy
  • The Area of a Circle (Version 2.0) by Edwina R. Justice - Gunsaulus Academy
  • The Surface Area of a Cylinder (Version 2.0) by Justice, Edwina - Gunsaulus Academy
  • Similarity by Kee, Natalia - Harlan Community Academy H.S.
  • Polygons Made To Order by Malone, Loretta - Washington High School
  • Properties Of Quadrilaterals by Olson, Margaret A. - Morgan Park High School
  • Parallel lines and Angles by Singleton, Earl M. III - Daniel Hale Williams
  • The Surface Area of a Cylinder by Justice, Edwina - Gunsaulus Academy
  • Soap Film Models by Pintozzi, Joan - Curie Metro. H.S.
  • Primary Geometry by Pitra, Barbara - Marconi Community Academy
  • Proving Pi by Williams, Gwendolyn D. - Paul Robeson High School
  • The Solar System by Fred J. Schaal - Lane Tech High School
  • How Many Regular Polyhedrons Are There In This or Any Universe? by Lawrence E Freeman - Kenwood Academy
  • The Area Of A Circle by Edwina R. Justice - Gunsaulus Academy


    Patterns and Logic

  • M&M MATH by Barbara P. Lorde - Crispus Attucks Academy
  • Using Symmetry to Create A Community Quilt by Beverly Brown - Hedges West
  • Sorting and Analyzing by Vickie Townsend - Crown Fine Arts Community Academy
  • Sorting Through Life! by Barbette Flennoy - Joseph Stockton
  • Number Patterns in Pascal's Triangle by Ulysses Harrison - Dunbar Vocational High School
  • Visuals Patterns in Pascal's Triangle by Ulysses Harrison - Dunbar Vocational High School
  • To Classify Beans And Peas by Gwendolyn Williams - Adam Clayton Powell
  • Chess Math by Louis C. Jackson - Lincoln Elementary School
  • TESSELLATIONS: An Application Of Simple Regular Polygons by Mary Racky - Kenwood
  • Logic and Reasoning by Pearline Scott - Greeley School
  • Tower of Hanoi by Paul Eubanks - Washington High School
  • Logic by M. Elaine Granger - Irvin C. Mollison
  • Counting Triangles by Mamie P. Scott - Coles School
  • Using Diagrams in Problem Solutions by Angel L. Torres - Peabody School
  • Formula Determination by Odom, Clark - Collins H.S.
  • Classification by Wilburn, Delores B. - Shakespeare School
  • Learning by Logic - Total Surface Area by Boyd, Carolyne - Bennett Elementary


    Probability and Statistics

  • Laws of Probability: Mutually Exclusive-vs-Mutually Inclusive Draws by Mikail A. Siddiq - Raymond School
  • Probability by Ana Timbers - Stockton
  • Probability of Childhood Games by Robert Foote - Disney Magnet School
  • Probability by Sandy Reed - Robert Fulton School
  • Phenomenological Probability by Robert Foote - Disney Magnet School
  • Mean, Median, Mode, etc. by Charlotte Goldwater - Kenwood Academy
  • Paper Toss Shootout by Edwina R. Justice - Gunsaulus Scholastic Academy
  • Statistics of Mars* by Wilhelm L. Lilly - Kenwood Academy
  • Averaging by Sharon Thomas - Emmanuel Christian School
  • Probability by Turner, Emily - Joplin Elementary School
  • Probability by Moss, Laura Willis - South Shore Community Academy
  • Modeling Permutation Group by Mary Margaret Nee - Von Stueben Science Center


    Recreational and Creative Math

  • Boomerang by Wilhelm L. Lilly - Kenwood Academy High School
  • How Much is a Million? by Sharon Simmons - Joseph Stockton Elementary
  • Rocket High by Elizabeth Kelly - Pilsen Community Academy
  • Making Ice Cream by Vickie Townsend - Crown Fine Arts Community Academy
  • Games Using Multiplication by Amaechi Onyeali - Carter Elementary
  • Napier's Rods by Irene Santos - Alexander Graham School
  • The Golden Rectangle by Edwina R. Justice - Gunsaulus Academy
  • Paper Folding to Make Cubes by Koshy Kanicherilnalil - Chicago Public Schools
  • Integer: Tic-Tac-Toe Four In A Row! by Conchita A. Little - Terrell School
  • Fractions and Paper Folding by Bill Wagner - Hyde Park Career Academy
  • Number Up by Ernestine Bickham - Maria Saucedo Magnet School
  • Math Game Using A Tic-Tac-Toe Board by Gertrude Franklin - William Penn
  • The Moebius Strip by Arnita Newton - Kenwood Academy
  • Fraperdec* by Connie Taylor - Holy Angels School
  • How To Use An Abacus by William Gordon - John Hope Academy
  • A Fibonacci Primer by Freeman, Larry - Kenwood Academy
  • Geometric designs in the game of "Life". by Byrne, Willaim - Martin Luther King H.S.
  • Paper Pool by Williams, Barbara - Cook Elementary School
  • Graphing Game by Lalagos, Thomas - Hyde Park Career Academy
  • Geometric Bingo by Lawrence, Anne - Wells Community Academy


    Practical and Applied Math

  • What Does Greatest Common Factor Mean to Me? by Stephen Ha - Lloyd Elementary School
  • Learning with Links by Winnie Koo - Ravenswood School
  • Data Collection - Primary Poster by Amelia Witherspoon - New Concept School
  • How do You Stack Up? Revisited by Robert Foote - Walt Disney Magnet School
  • Measuring for Cookies by Sally J Hill - Roberto Clemente Community Academy
  • Ratio, Percent & Proportions by Rosalyn Winston - Walt Disney Magnet School
  • MISSION: POSSIBLE by Mary Terhune - Rachel Carson School
  • Dream Home Mathematics by Dennis W. Montgomery - Lyman Trumbull Academy
  • Temperature by Patricia A. Calloway - Spencer Math and Science Academy
  • Sales Tax by Allen Batts, Jr. - Jane A. Neil School
  • Money Matters by Barbette Flennoy - Joseph Stockton
  • Budgeting Money by Yolanda Smith - Douglass Math and Science Academy
  • Converting Celsius To Fahrenheit by Amaechi Onyeali - Carter Elementary
  • Percents by Albert Michael - Robert Fulton Elementary School
  • Uncorking Work Problems by David Drymiller - Marie Sklodowska Curie Metro H.S.
  • Mass and Weight in the Metric System by Janet L. Powe - Harold Washington Elem.
  • Uniform-Motion Problems: Just Playing With Cars by David Drymiller - Morgan Park High School
  • Estimating and Counting Money by Omega L. Minor-Clark - R. Nathaniel Dett Elementary School
  • Estimation by Theresa W. Akpan - Wells Community Academy
  • Using A Round-O-Meter To Estimate by Kathleen M.K. Pidrak - Edward H. White
  • Flight Angles Of Inclination by Marie C. Smith - Anthony Overton Elementary School
  • Money Sense by Marie Bijou Wong - Joseph Warren Elementary School
  • Percents: (An application to real life problems) by Lucille H. Chambers - Trumbull School
  • Real Numbers in the Real World by Ulysses Harrison - Dunbar Vocational High School
  • Manipulating Formulae...Using Recipes To Understand by Nancy Ressler - Oakton
  • Problem Solving Using Percentages by Thelma A. Rex - Rosa L. Parks Middle School
  • Whole Language Approach in Solving Word Problems by Barbara Thomas - Langston Hughes School
  • Effective Use of Living Space by William L. Brown - Parkside Community Academy
  • Making Predictions by Lucille Chambers - Lyman Trumbull School
  • Estimation Contest by Sandra A. King-Bryson - Saucedo Magnet School
  • Finding area & perimeter in a miniature house using standardized units by June Muhammad - Park Manor
  • Ratios and Proportions by Mamie P. Scott - Edward Coles Elementary School
  • Draining the Swimming Pool by William Byrne - Martin Luther King
  • Sales Tax and Discounts by Denise Folk - Richard E. Byrd Academy
  • Mixture Problems by Alphonso Kennedy - Lindblom Tech. H. S.
  • An Introduction to Percent by Kenneth Surdell - Lewis School
  • Solving Word Problems by Barbara Trotter - O.A. Thorp Scholastic Academy
  • Problem Solving: Steps and Strategies by Barrett, Sarah G. - Mars Hill School
  • Time by Davenport, Gracie - Spalding School
  • Problem Solving by McCree, Marilyn - District 12
  • Ratios by Murray, Richard - Gage Park High School
  • Learning ratios and proportions through scale drawings. by Laskey, Erwin - Eugene Field School
  • Problem Solving by Rogers, Patricia - Edward Hartigan
  • Ratio and Proportions by Trotter, Barbara - Ole A. Thorp
  • From Hypothesis To Conclusion...Reading Maps To Understand Proofs by Blaszak, Maryann - South Shore Community Academy
  • Triangulation by Brandon, Ann M. W. - Oak Forest High School
  • Cuisenaire Rods And Math by Linda Easter - Dewitt Clinton Elementary School


    Arithmetic

  • Introduction To The Number Line by Sheila Alexander - Manley School
  • Extending Our Knowledge of Place Value by Angie Morris - Burnham School
  • Filling the Glass (Water, Air, and Fractions) by William R. Colson - Morgan Park High School
  • Having Fun working With Fractions by Brian Cagle - John W. Cook
  • Number Addition Race by Janice Schaults - Randolph Magnet School
  • Lesson for Multiplying and Dividing Fractions with Post It Notes by Robert Foote - Disney Magnet School
  • Adding Mixed Numbers with Unlike Denominators by Camille Gales - Edward Coles Elementary School
  • Multiplication by Virginia Muhammad - John Hope Community Academy
  • Putting the Pieces Together (Making a Fractional Quilt) by Demetria E. McKnight - Bateman Elementary School
  • Factors by Edwina R. Justice - Gunsaulus Scholastic Academy
  • Place Value by Dwayne Belle - Fuller School
  • Percentages by Emma Taylor - Douglass Math and Science Academy
  • Counting and Place Value by Carole Gills - Edward Coles School
  • Ratio and Proportion by Valesta Cobbs - John Fiske Elementary School
  • Introduction to Fractions Using Cuisenaire Rods by Gwendolyn M. Manson - Benjamin Banneker
  • Measuring Mixed Numbers by Karen Trout - Sumner Math and Science Academy
  • A "New Set of Numbers" (An Introduction of Integers) by Barbara Barlow - Caldwell School
  • Primary Understanding and Use of Place Value by Eleanor Brzozowski - Hanson Park School
  • Introduction To Equivalent Fractions by Rose Cartwright - Lyman Trumbull School
  • Fickled Fractions by Elizabeth Chambers - Keller Gifted Magnet Center
  • Addition and Subtraction of Signed Numbers by David Drymiller - Morgan Park High School
  • Working with Cuisenaire Rods In Mathematics by Willis Grace - O. A. Thorp Academy
  • The Generation Of Fractions by June Muhammad - Park Manor School
  • A Method of Front-End Arithmetic by Eddie Newton - Carver Area High School
  • Money: Demonstrating Coin Values up to $1.00 by Camille Gales - Coles Elementary School
  • How Divine Is My Proportion? by Edwina R. Justice - Gunsaulus Scholastic Academy
  • Equivalent Fractions by Gertrude Lockett - Emmanuel Christian School
  • Division For Third Graders by Savannah Walker - Mason School
  • Prime and Composite Numbers by Charlotte Goldwater - Kenwood Academy
  • A Fictional History of Place Value by Bette B. Jarrow - Goudy Elementary
  • Fundamentals of Multiplication by Carl D. Mason - Suder School
  • Place Value by Ceopal Porter - Dr. Ralph J. Bunche
  • Fractions, Simplifying Parts of Shapes -- One-Half, One-Third, One-Fourth by Austin, Sarah - Mary Bethune
  • Fraction Message by Harper, Charles - Goldblatt Elementary School
  • Identification of Equivalent Fractions by Jarrow, Bette B. - Gaudy School
  • Introducing Powers and Models-I by Barrett, Sarah - Mars Hill School
  • Math Technique in Multiplication and Division of Fractions by Garth, Frieda - Farragut Career Academy
  • Introduction to Fractions on the Numberline by Jones, Claudia R. - Crane High School
  • Equivalent Fractions by Williams, Flora - O. A. Thorp
  • Introducing Powers And Models-II by Barrett, Sarah - Mars Hill School
  • Understanding Fractions by Bradley, Florida - Hartigan
  • Odometers and the Place Value Chart by Bronson-Cochran, Donna - George B. Swift
  • Basic Mathematical Operations Using Mathtiles by Jones, Claudia R. - Farragut Career Academy
  • Adding Integers by Thomas, John Charles - N. F. Simeon Voc. H. S.
  • Locating Rational Numbers On the Number Line by Winebrenner, William - Dunbar Vocational
  • Continued Fractions With A Calculator by Fred J. Schaal - Lane Tech High School


    Graphs and Visuals

  • Collecting Data and Graphing by John Ramsey, Jr. - Morton Career Academy
  • Environmental Graphing/Eco Graphs by Chandra E. Price - Burnham Inclusive Academy
  • The Ups and Downs of Graphing by Frana Allen - Skinner School
  • Teaching Arithmetic and Math Concepts To Headstarters by Jamal Brown - Daniel Hale Williams
  • Watermelon Graphing by Shirley Hatcher - Daniel Hale Williams
  • History Of Our Solar System on a Time Line by Richard Murray - Gage Park High School
  • Graphing Speed by Yolanda Smith - Douglass Math and Science Academy
  • History Of Our Solar System on a Time Line by Richard Murray - Gage Park High School
  • The Statistics of M&Ms by Charlotte Goldwater - Kenwood Academy
  • An Introduction to Data Reading and Computations by Christeen Brown - Robert Fulton Elementary
  • Counting And Graphing by Vernita Smith - Mahalia Jackson Elementary School
  • Locating IIT Using Ordered Pairs by Diane Yvette Branch - Harold Washington Elementary School
  • Collecting Data and Graphing by John Ramsey, Jr. - Teacher's Acad. For Math and Science
  • Apples A Peel To Me by Olga Moreno - Horace Greeley School
  • History Of Our Solar System on a Time Line by Richard Murray - Gage Park High School
  • Locating Points Using Cartesian Coordinates by Mercedes Rodriguez - Clemente Community Academy H. S.
  • Getting the Goods on Graphing by Velma Elois Rouse - DeWitt Clinton
  • Introduction to Curve Stitching - Line Designs by Wilhelm L. Lilly - Kenwood Academy
  • Junk Food Math by Sharon Ross - DeWitt Clinton School
  • Rotations by Nash, Susan - Lake View High School
  • Graphing Equations From Software by Webb, James - Harlan H.S.


    Algebra and Trigonometry

  • The Cuisenaire Four-Pan Algebra Balance: Limitations & Suggestions by Bill Colson - Morgan Park High School
  • The Pythagorean Puzzle by Earl Zwicker - Illinois Institute of Technology
  • Sorting Pennies, A Wagering Activity for Algebra 1 by David Drymiller - Marie Sklodowska Curie Metro H.S.
  • Trigonometric Functions by Lesia Smith - Michael M. Byrne School
  • Equalities And Inequalities by Perry Lemon - Shoop School
  • Draining The Swimming Pool by Byrne, William - Martin Luther King H.S.
  • Inequalities by Butler, Ben Jr. - Gage Park High School
  • Linear Equations by Ennis, Beatrix U. - Senn Academy High School
  • Algebraic Addition by Junievicz, Alex - Kelly H.S.
  • Simplifying Equations of the Form ax+b=cx+d by Wagner, William F. - Hyde Park Career Academy
  • Rules of Sign Change by Zuger, Joel P. - Chicago Metro High School
  • Using the Balance by Davis, Marie - Marconi Community Academy
  • Multiplying and Factoring Polynomials Using Algebra Tiles by Marshall, Regina - Curie Metro High School
  • Vision Props of Signed Numbers by McMiller, Mable - South Shore High School
  • Positive and Negative Numbers by Siegel, Lincoln R. - Cregier High School
  • Positive-Negative Charge Model For Integers by Williams, Barbara - J. N. Thorp School
  • The Sine Function by Ronald G. Sienkiewicz - Prosser Vocational High School
  • Visual Structure of Postulates and Axioms in Algebraic Operations by Sanford Olshan - Roosevelt High School
  • Introduction To Solving Equations by Mary Lynn Bochenek - Central Junior High
  • Order Of Operations by Bernice E. Holloway - Bellwood School District #88
  • Commutative, Associative And Distributive Properties by James E. Breashears - Robeson High School


    Miscellaneous

  • It's About Time by Vernita Smith - Mahalia Jackson Elementary School
  • Multiplication and Areas by Albert Michael - Robert Fulton Elementary School
  • Zone Out! by Willie Mae Wilson - Hartigan Elementary School
  • Elapsed Time by Bernice Joyce Henry - Edward H. White
  • Telling Time in Different Time Zone by Borita Khim - Stockton Elementary School
  • Area, Arithmetic and Algebra by Larry Freeman - Kenwood Academy
  • Area, Arithmetic and Algebra by Larry Freeman - Kenwood Academy
  • Tony's Tiger BITES by Maudestine McLeary - John Hope
  • Properties of Numbers by Steinfelds, Leon - King High School
  • Make-and-Take: Staff Development by Pintozzi, Joan - Curie Metro. H.S.
  • StudyWeb Award An Introduction To Sets by Belton, John P. - Jones Metro. H. S.
  • Discovering New Units by Jenkins, Kay - James Shields Elementary School
  • Play Ball by Roslyn N. Matthews - South Shore High School
  • Using Variables And Ratios To Get You In The Right Gear by George K. Smith - Dunbar VHS

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