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Home » Montessori » Curriculum » Math » Montessori Math Equivalence & Crisis of Nine Tray

Montessori Math Equivalence & Crisis of Nine Tray

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Equivalence Tray

Equivalence Crisis Tray – Montessori Math Lesson

Equivalence Tray – Presentation I

Invite the child to see some new work with the golden beads. Spread a mat: “This is the equivalence tray. Some people call it the Crisis of Nine tray. Let’sd look at these beads and count them. We’ll start with the units.”
equivalence_tray_pres

  • Count the units from their tray into the mat below in a vertical line, touching each other.
  • “Ten units is the same as a ten bar. When we have a ten bar we have to move to a new place. We can’t stay in the unit’s place anymore.”
  • Use the same approach and language with tens/hundreds and hundreds/thousand: “Ten bars is the same as a hundred square. When we have a hundred square we have to move to a new place…”

crisis of nine

Presentation II – Exchanging

  • Return to the row of units: “Now, let’s count these again.”  Make a big deal of moving to the ten’s place and picking up a ten bar “because ten units are the same as one ten.” Continue on to the thousand cube by counting the hundred squares.
  • Summarize and quiz the child: “ten units make what? Ten bars make what?” etc.

Variations

  • Use separate mats for each quantity so the child must move his body considerably to count the beads
  • Ask the child to give you or to bring to you various quantities. Occasionally ask for ten of something to check if the child understands the exchange.

Extensions

  • Make a Take Home Booklet showing equivalence. So, ten units on one page and a ten bar on the opposite facing page. etc
  • Draw or color the bead material



Have fun!
Marnie

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Tagged With: Shelf Work, Variations & Extensions

About Marnie Craycroft

Marnie hails from Maine where she spent summers buried in sand and winters buried in snow. She is the daughter of a nearly four decade veteran of the public school systems. Teaching has always been a part of her life. She founded Carrots Are Orange in 2010.

Carrots Are Orange is a Montessori learning and living website for parents and teachers.

Marnie graduated from Wesleyan University in 1999 with a BA in Economics. She spent nearly a decade working in investment management. In 2006, she earned her MA in business from the University of Washington’s Foster School of Business.

Marnie moved to the west coast in 1999 and currently lives in Boulder with her husband and three sons. She is Montessori trained. Her work has been featured on Apartment Therapy, Buzzfeed, PBS Kids, BabyCenter, the Melissa & Doug blog, Huffington Post, and WhattoExpect.com. Besides writing, passions include running (usually after her three sons), photography, and outdoor adventures.

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