The Lesson AlbumThe Decimal System · lesson 1ages 4–6grades PK–K

Introduction to the Golden Beads

Your child meets the four sizes of the decimal system — a unit bead, a ten-bar, a hundred-square, and a thousand-cube — and learns their names by holding, counting, and comparing them. This one short lesson is the doorway to all later work with big numbers.

Materials

  • One golden unit bead, one ten-bar, one hundred-square, and one thousand-cube (a base-ten block set works: a small cube, a rod, a flat, and a big cube)
  • Household substitute: one dried bean, a craft stick with ten beans glued on, a card with one hundred beans (10 rows of 10), and a small box labeled as the thousand
  • A small tray for carrying
  • A work mat: a green felt rectangle, a placemat, or a folded towel

No materials at home? Use the virtual Golden Beads & Mat.

Before this lesson

Aims

Direct

  • To give the child the names unit, ten, hundred, and thousand attached to real quantities
  • To let the child feel that ten of one size makes exactly one of the next size

Indirect

  • Preparation for reading and writing numbers to 9,999
  • Preparation for the four operations with golden beads
  • A first sensory impression of the base-ten structure of our number system

Presentation

  1. 1 Invite your child to carry the tray to the mat with you. Take out only the unit bead and place it near the bottom-right of the mat. Let your child hold it.This is one unit.
  2. 2 Place the ten-bar beside it. Have your child touch each bead on the bar while you count aloud together, one through ten.This is one ten. It is made of ten units.
  3. 3 Place the hundred-square next. Let your child lay ten-bars on top of it to discover that ten ten-bars cover it exactly.This is one hundred. It is made of ten tens.
  4. 4 Place the thousand-cube last. Let your child stack hundred-squares against it to see that ten hundreds make the cube.This is one thousand. It is made of ten hundreds.
  5. 5 Give a three-period lesson. First name each piece again while pointing. Then ask your child to act: hand me the hundred, put the ten on my palm, point to the thousand. Mix the requests and keep it playful.Show me the ten. Now hide the unit in your hand.
  6. 6 Only when your child confidently finds each piece, ask the third-period question while pointing to one piece at a time.What is this?
  7. 7 Let your child carry each piece back to the tray, heaviest first, and return the tray. Weight is part of the lesson — a thousand should feel like a thousand.

Points of interest

  • The surprise that the thousand-cube is heavy and the unit almost weightless
  • Counting the beads on the ten-bar one by one
  • Laying ten-bars on the hundred-square and seeing them fit exactly
  • The sparkle of the golden beads — they are treated as treasure, carried carefully on a tray

Control of error

  • The material itself: ten units laid along a ten-bar match it exactly, ten-bars cover the hundred-square exactly, and hundred-squares stack to the height of the cube
  • In the virtual material, tapping a piece shows its true bead count — a hundred really has 100 beads to see

Vocabulary

  • unit
  • ten
  • hundred
  • thousand
  • golden beads

Variations

  • Distance game: put the mat across the room and ask your child to walk over and bring back "one hundred" from memory
  • Feel game: with eyes closed, identify the unit, ten, hundred, or thousand by touch alone

Extensions

  • Count the beads on the hundred-square by tens: 10, 20, 30 … 100
  • Ask "how many units are hiding inside the thousand?" and count a few rows to convince yourselves it is truly 1,000

Follow-up work (pencil & paper)

  • Color-and-count pages: your child colors pictured golden beads and writes how many units, tens, hundreds, and thousands they see.Printable: Golden Bead Pictures
  • Draw the family: on blank paper, your child draws a dot for a unit, a line of ten dots for a ten, a big square for a hundred, and a cube for a thousand, labeling each.

What comes next

Next your child meets the printed symbols in Introduction to the Number Cards, then puts symbol and quantity together in Building Big Numbers (Formation) — reading and building numbers like 3,251 with cards and beads.