Making Math Meaningful: A 6th Grade Workbook, Teacher’s Edition

Jamie York


  • The review topics from previous years are multiplication, short and long division, fractions, decimals, measurement, unit cost, factors, and estimating.
  • The new topics for sixth grade are casting out nines, exponents (powers), square roots, divisibility, formulas, the metric system, converting decimals to fractions and fractions to decimals, angle measure, percents, mean/median/mode, pie charts, line graphs, area and perimeter, business math (discount, profit, etc.), ratios, rates (speed, wages), exchange rate, and complex fractions.
  • Mental math. York strongly believe that it is as important as ever for children to develop the ability to do calculations in their head. Each worksheet therefore begins with a section on mental math, focusing on four areas (each one of which is listed and described in Making Math Meaningful: A Middle School Math Curriculum): Multiplication facts, with selected facts from the 13 through 18 tables, and the 25’s table (i.e. 15·5=75);
  • Powers with base 2 through 5 (i.e. 34 = 81);
  • Fraction to decimal conversions (3/8 = 0.375);
  • Math tricks, as described in A Middle School Curriculum for Teachers and Parents, Appendix B.

6th Grade – The Year for Strengthening Skills. While there are new topics to be introduced in sixth grade math, much of the year is an essential review, or a furthering of material introduced in earlier years. The challenge is to weave in the review in such a way that there is always something new. Therefore each worksheet includes several review problems. The goal is for the students to enter seventh grade feeling that division, fractions, and decimals are all easy, and for them to be excited about learning math.

What is the intention of this workbook? The sheets found in this workbook are designed for use as homework assignments during the sixth grade year. The whole thing emerges from a carefully thought out, developmentally-based math curriculum, which is fully described in the book, A Middle School Curriculum for Teachers and Parents, a book that makes available the material I have discovered and developed while teaching middle school math for several years in a Waldorf school. This material is both exciting and age-appropriate for developing the minds of this age group. It is an alternative to the normal “they-need-all-this-stuff-in-order-to-stay-ahead” approach.

Who can use this workbook? While most of the author’s teaching experience is within the Waldorf school system, the curriculum that York presents in A Middle School Math Curriculum, which is what this workbook is based upon, can be effectively used by any teacher or homeschooling parent wishing to bring meaningful, age-appropriate material to their students.

Required reading. It is necessary to read A Middle School Curriculum for Teachers and Parents in order to fully understand the material in this workbook.

Also available:

72 pages, 8 1/2″ x 11″

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