Middle School Mathematics
updated January 28, 2017
Recorded here is my own personal collection of articles, resources, favorite links, teaching ideas, and lesson plans. It encompasses many years, from the very beginning of my experience studying and learning about Waldorf to the present time. People from all around the world visit my site and recommend it to others. Welcome!
This site records my journey. I hope my honesty is encouraging and helps break down some barriers that may prevent people from trying Waldorf methods. Because this is an ongoing site documenting my curriculum planning and ideas, some materials are more Waldorfy than others. Please feel free to take what you like and leave the rest.
Middle School Math Booklist
for Class 6, 7, 8
Mission Statement  Consulting Services  Lending Library
Without exception, I would recommend Jamie York's excellent book for Middle School Math.
Making Math Meaningful : A Middle School Math Curriculum for Teachers and Parents
Jamie recommends math homework every night, two math main lesson blocks during the course of the school year, and an afternoon math class several times a week for further
reinforcement and practice.
I like these FREE Homework Scorecards which ask students to selfassess their work. (Mon  Thu)
6th grade Math MLB topics:
1. Business Math (including Percents, Formulas, and Graphs)
2. Geometry (geometric drawing)
7th grade Math MLB topics:
8th grade Math MLB topics:
1. Number Bases & Loci
2. Mensuration & Stereometry
On his
website Jamie York Press you will also find a student workbook for each grade level (consumable), a teacher guide/answer key for each workbook, and a webinar on 7th grade algebra, as well as
an assortment of free middle school downloads.
grade 6 workbook
sample worksheets
grade 6 teacher guide
grade 7 workbook
sample worksheets
grade 7 teacher guide
grade 8 workbook
sample worksheets
grade 8 teacher guide
Main Lesson Block daily plans & notes from Jamie York:
Sample lessons from the Live Education! curriculum:
Actually doing the math, not just writing it, is an invaluable tool. There's a math teacher who I admire so very much that takes every single math problem in his students' books, acts it out on video, and has them watch it or make their own videos so that they are actually applying the concept in the real world. It's amazing! He says that if the students are to calculate how long it will take to fill a bucket with a slow hose, they should have to sit through how long it actually takes to fill that bucket and see if their answer makes sense. That once they have to do that, their work will have meaning to them. Granted, he teaches calculus and I'm teaching arithmetic, but I think the principal applies at every level.
My blog posts with pictures of all of our MLB pages:
Other FREE math downloads (from Teachers Pay Teachers) which we've used and liked:
(Yes, I know that MOST things on this
site are not well done; I promise these are the best I've found. And if you're looking for daily math homework, I think you'll find them useful.)
Arithmetic
 Bell Ringers for Middle School Math
 CrossNumber Pattern Puzzles
 'Tis the Season For Division (Christmas partner activity  fun to do with your child)
 I Am a Veterinarian
 Problem Solving Assessment Pack
 Diffy Subtraction Game
 Division of the Day (one digit and two digit divisors, long division with remainders)
 Using Multiples to Introduce Percents
 Halloween Decimal Operations Word Problems
 12 Days of Christmas Math Word Problems
 Think Math: Christmas
this idea is easily adaptable to other days of the year allows you to assess which operations your student is most comfortable with
 Trimming the Tree Decimal Multiplication
 Fractions Operations Review or Quiz
 Titanic Math
 Fraction Fervor Math Game (uses two decks of cards)
represent, compare, and order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers
 Whack a Fraction Decimal Percent
you must print the cards in color to play this game
 Exponents Doodle Notes
(helpful teacher review notes at How to prove that a number to the zero power is one)
 Order of Operations Triangle Matching Puzzle
it is easier to remember when you come up with your own sentences!
Pam Eats More Daisies and Snowdrops  Becca
Petunia Exercises My Dorky Aunt Susan  Leah
Purple Elephants Make Delicious Apple Strudel  Natalie
 Order of Operations Dice Game
practice this concept with a simple "place value" dice game first have each child write the following on his/her paper: __ , __ __ __ , __ __ __ roll a die seven times and have students place each digit where they choose see who has the largest number at the end
note: there are two versions of the Order of Operations Dice Game (one has exponents)
 Order of Operations Exit Tickets (with exponents)
 "Integer Insanity!" Game
 Integers Card Game
 Order of Operations Riddles
 What's It Worth? Add and Subtract Positive and Negative Numbers
Algebra
 Coordinate Grid  Practice with Ordered Pairs
(preface this with the Rene Descartes "Stay in Bed Scholar" story from Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Vol. 2)
 Graph Paper Template  Only One Quadrant
can be used for Battleship game
 Coordinate Grid Riddle
 Christmas: Plotting Points and Finding Slope
 One Step Equations Picture Puzzle (complete all problems before cutting/pasting)
 FillIn PreAlgebra Puzzles
 Distributive Property Puzzle
 Matching Tables, Graphs, Verbal Descriptions and Equations
 Linear Equations Matching (must know distributive property)
 TwoStep Equations Maze Activity
 Introduction to Systems of Linear Equations
 Linear Equations in Standard Form Coloring Page
(helpful teacher review notes at Methods for Graphing Linear Functions, plus more practice)
 Writing Linear Equations Carousel Activity
practice writing linear equations in slope intercept form
Geometry
 Quadrilateral Venn Template
have them draw one of each shape inside the correct space and then explain the relationship between them
 what are the similarities and the differences?
 Perimeter and Area Story Problems
(do as a pretest/posttest, with Test Prep Strategy for Any Subject color coding)
 Mr. Honey's Pig Pen Blueprints
 Mrs. T's Raccoon Room
 Goldfish Haven
 Finding the Area of Trapezoids Task Cards
(helpful teacher review notes at Area of a Parallelogram & Area of a Trapezoid)
 Mrs. C's Arts Garden
 Area of Irregular Figures Riddle
 Measuring Angles Coloring Sheet
(practicing measuring angles using a protractor, avoiding common mistakes)
I found a different coloring sheet because I didn't really like hers... so we used this one
but I really liked the idea and it was highinterest and supereasy to grade
 Find the Sum of the Exterior Angles of a Polygon
I recommend printing the large version of each polygon to make using a protractor easier
(helpful teacher review notes at Exterior Angles of Polygons)
 Pythagorean Theorem Tarsia Puzzle
 Pythagorean Theorem Converse
Measurement & Misc.
 Elapsed Time Task Cards
 Probability Word Problems Task Cards
There are many other Waldorf (and traditional) math books which I suggest for this age group.
They run the enrichment gamut: some are collections of fascinating
biographies, some show math concepts as they developed throughout time and in different cultures,
some contain practice exercises, some are books of puzzles and math games,
and some focus on applying math problem solving skills in authentic tasks.
All are wonderful.
I also strongly believe that math problem solving should be woven into real life, and homeschooling provides you with so many opportunities to do that!
On one occasion, after a family dinnertime discussion about college and the process of choosing a major, I asked my daughters
to figure out how many adults actually grow up to have a profession that matched their college
major. I had always wondered this myself; it was my impression through casual conversation that many many people end up in an
entirely different career. We developed a short twoquestion survey (What is/was your profession? What was your major in college?)
and wrote an interview script.
The children interviewed
50 people, tabulated the data, and came to the conclusion that approximately 56% of adults end up in careers
that do not match what they majored in in college. This allowed my girls to breathe a sigh of relief,
knowing that you do NOT have to know with complete certainty  at the age of 20, mind you! 
what you want to be when you grow up. In fact, we enjoyed hearing the story of one woman who went into
business journalism after being told repeatedly that she wouldn't be able to make a living as an artist. Once
she began working in that field, she hated it! She ended up deciding to follow her heart and is now
successfully supporting herself and her family as a fiber artist. After dealing with quantitative data, creating tables and a pie
chart, we turned to qualitative data. Each of my children
chose someone to conduct a follow up interview on, after becoming curious about their widely varying career paths. One woman
started out in prelaw, then became a doula. Another majored in East Asian studies and is now a long haul
team truck driver with her husband. Our 10 follow up questions allowed the girls to delver deeper into their
research and provided even more reassurance that we each have our own unique path and there's no "right" or "wrong." It
was especially interesting that when we asked in question 10 if "you believe students should take a gap year between
high school and college," one person interviewed said DEFINITELY yes and the other said DEFINITELY no!
Activities such as these allow mathematics to come alive for your child as well as your whole family. I also believe that
middle schoolers should be involved as you create and revise your household budgets  my 6th grader keeps track of our homeschool budget, adding up the receipts each month, and my 8th grader keeps track of our grocery budget  and
that they should be present as you do your taxes. It is never to early to learn the maths of practical life.
Supplemental Booklist
The Man Who Counted: A Collection of Mathematical Adventures
by Malba Tahan
You Can Count on Monsters: The First 100 Numbers and Their Characters
by Richard Evan Schwartz
The Story of Clocks and Calendars
by Betsy Maestro
The History of Counting
by Denise SchmandtBesserat
A Million Dots
by Andrew Clements
The Story of Money
by Betsy Maestro
Whatever Happened to Penny Candy? A Fast, Clear, and Fun Explanation of the Economics You Need For Success in Your Career, Business, and Investments
by Richard Maybury
A Collection of Math Lessons: Grades 36
by Marilyn Burns
A Collection of Math Lessons: Grades 68
by Marilyn Burns
Math for Smarty Pants (A Brown Paper School Book)
by Marilyn Burns
The I Hate Mathematics! Book (A Brown Paper School Book)
by Marilyn Burns
Making Math Meaningful: Fun with Puzzles, Games, and More! (grades 412)
by Jamie York
HandsOn Math!: ReadyToUse Games & Activities for Grades 48
by Frances Thompson
Math and Science Across Cultures: Activities and Investigations from the Exploratorium
by Maurice Bazin, et al.
Agnesi to Zeno: Over 100 Vignettes from the History of Math
by Sanderson Smith
Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians
by Luetta and Wilbert Reimer
Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Vol. 2
by Luetta and Wilbert Reimer
Mathematicians Are People, Too! lesson plan ideas
String, Straightedge, and Shadow: The Story of Geometry
by Julia Diggins
How We Learned the Earth Is Round
by Patricia Lauber
The Day We Saw the Sun Come Up
by Alice E. Goudey
The Librarian Who Measured the Earth
by Kathryn Lasky
