The Exchange Game: Difference between revisions

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This activity teaches the child...
This activity shows the child that when quantities are organized it is much easier to see how much you have.<br>
It also gives the child practice in exchanging.


== Presentation ==
== Presentation ==
# step one
# Lay out a rug with two small bowls for counting unit beads
#:[[File:Exchange Game 1.JPG|300px]]
#:[[File:Exchange Game 1.JPG|300px]]
# next step
# Take the child to the bead cabinet and start filling a tray with a random amount of units, tens, hundreds, and thousands.<br>Take the tray to the mat.  "What a mess!  I wonder how many beads we have here."
#:[[File:Exchange Game 2.JPG|300px]] [[File:Exchange Game 3.JPG|300px]]
#:[[File:Exchange Game 2.JPG|300px]] [[File:Exchange Game 3.JPG|300px]]
# next step
# Sort the beads into piles by place value.
#:[[File:Exchange Game 4.JPG|300px]]
#:[[File:Exchange Game 4.JPG|300px]]
# next step
# Start counting the units.
#:[[File:Exchange Game 5.JPG|300px]]
#:[[File:Exchange Game 5.JPG|300px]]
# next step
# When you get to 10 units, have the child exchange them for 1 ten bar.<br>Place this ten bar with the others.
#:[[File:Exchange Game 6.JPG|300px]]
#:[[File:Exchange Game 6.JPG|300px]] [[File:Exchange Game 7.JPG|300px]]
# next step
# Count the remaining units (if there are any).<br>Exchange for ten bars if needed unit until there are fewer the ten units left.
#:[[File:Exchange Game 7.JPG|300px]] [[File:Exchange Game 8.JPG|300px]]
#: [[File:Exchange Game 8.JPG|300px]] [[File:Exchange Game 9.JPG|300px]]
# next step
# Start counting the tens.
#:[[File:Exchange Game 9.JPG|300px]]
# next step
#:[[File:Exchange Game 10.JPG|300px]]
#:[[File:Exchange Game 10.JPG|300px]]
# next step
# When you get to ten have the child exchange these for 1 hundred square.<br>Place this with the other hundred squares.  Exchange again if needed until you have fewer than 10 ten bars.
#:[[File:Exchange Game 11.JPG|300px]]
#:[[File:Exchange Game 11.JPG|300px]] [[File:Exchange Game 12.JPG|300px]]
# next step
# Start counting the hundreds.
#:[[File:Exchange Game 12.JPG|300px]]
# next step
#:[[File:Exchange Game 13.JPG|300px]]
#:[[File:Exchange Game 13.JPG|300px]]
# next step
# When you get to 10 hundreds, have the child exchange them for 1 thousand cube.<br>Place this thousand cube with the others.  Exchange again if needed until you have fewer than 10 hundreds.
#:[[File:Exchange Game 14.JPG|300px]]
#:[[File:Exchange Game 14.JPG|300px]] [[File:Exchange Game 15.JPG|300px]]
# next step
# Allow the child to see how easy it is to tell how much you have after exchanging.
#:[[File:Exchange Game 15.JPG|300px]]
# next step
#:[[File:Exchange Game 16.JPG|300px]]
#:[[File:Exchange Game 16.JPG|300px]]


== Points of Interest ==
== Points of Interest ==
*having a chaotic mixed-up amount of beads at the beginning


== Control of Error ==
== Control of Error ==
There will be fewer than 10 in each pile


== Variations and Extensions ==
== Variations and Extensions ==
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===Where to Buy===
===Where to Buy===
see [[Golden Beads]]
see [[Golden Beads]]
==Further Reading==
*[[Teaching Montessori in the Home: The School Years]] by Elizabeth G. Hainstock, pages 42-43
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Latest revision as of 21:56, 12 June 2020

The Exchange Game
Math - Introduction to the Decimal System
Exchange Game 3.JPG
LevelPrimary
Age4 - 5
PrerequisitesThe Exchange Tray
Materialsfull set of Golden Beads
tray

This activity shows the child that when quantities are organized it is much easier to see how much you have.
It also gives the child practice in exchanging.

Presentation

  1. Lay out a rug with two small bowls for counting unit beads
    Exchange Game 1.JPG
  2. Take the child to the bead cabinet and start filling a tray with a random amount of units, tens, hundreds, and thousands.
    Take the tray to the mat. "What a mess! I wonder how many beads we have here."
    Exchange Game 2.JPG Exchange Game 3.JPG
  3. Sort the beads into piles by place value.
    Exchange Game 4.JPG
  4. Start counting the units.
    Exchange Game 5.JPG
  5. When you get to 10 units, have the child exchange them for 1 ten bar.
    Place this ten bar with the others.
    Exchange Game 6.JPG Exchange Game 7.JPG
  6. Count the remaining units (if there are any).
    Exchange for ten bars if needed unit until there are fewer the ten units left.
    Exchange Game 8.JPG Exchange Game 9.JPG
  7. Start counting the tens.
    Exchange Game 10.JPG
  8. When you get to ten have the child exchange these for 1 hundred square.
    Place this with the other hundred squares. Exchange again if needed until you have fewer than 10 ten bars.
    Exchange Game 11.JPG Exchange Game 12.JPG
  9. Start counting the hundreds.
    Exchange Game 13.JPG
  10. When you get to 10 hundreds, have the child exchange them for 1 thousand cube.
    Place this thousand cube with the others. Exchange again if needed until you have fewer than 10 hundreds.
    Exchange Game 14.JPG Exchange Game 15.JPG
  11. Allow the child to see how easy it is to tell how much you have after exchanging.
    Exchange Game 16.JPG

Points of Interest

  • having a chaotic mixed-up amount of beads at the beginning

Control of Error

There will be fewer than 10 in each pile

Variations and Extensions

Material

Where to Buy

see Golden Beads

Further Reading