# The Exchange Game

From Montessori Album

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The Exchange Game | |
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Math - Introduction to the Decimal System | |

Level | Primary |

Age | 4 - 5 |

Prerequisites | The Exchange Tray |

Materials | full 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.

## Contents

## Presentation

- Lay out a rug with two small bowls for counting unit beads
- 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." - Sort the beads into piles by place value.
- Start counting the units.
- When you get to 10 units, have the child exchange them for 1 ten bar.

Place this ten bar with the others. - Count the remaining units (if there are any).

Exchange for ten bars if needed unit until there are fewer the ten units left. - Start counting the tens.
- 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. - Start counting the hundreds.
- 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. - Allow the child to see how easy it is to tell how much you have after exchanging.

## 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

- Teaching Montessori in the Home: The School Years by Elizabeth G. Hainstock, pages 42-43