Montessori Mom

The Golden Bead Material is one of the most beautiful and powerful tools in the Montessori math curriculum. Through this hands-on, sensorial material, your child will discover the structure of the decimal system — ones, tens, hundreds, and thousands — by actually holding and feeling the difference between a tiny unit bead and a weighty thousand cube. Before beginning these exercises, your child should already be comfortable counting quantities up to 10 through work with the Number Rods, Number Rods and Numerals, the Spindle Box, and Numerals and Counters. If your child has completed those foundational activities, they are ready to step into the exciting world of larger numbers!

Presentation of the Decimal System

Purpose

To introduce the decimal system: ones (units), tens, hundreds, and thousands.

• Introduce the names and quantity proportions.
• Introduce counting that brings your child to higher numbers.
• Use a sensorial approach — the different bead materials can be differentiated by depth, weight, and quantity.

Advanced Purpose

The Golden Bead Material also shows exponents of ten in a concrete way:

• 10⁰ (units) — points
• 10¹ (tens) — lines
• 10² (hundreds) — planes
• 10³ (thousands) — cubes

Ten bead units make a bar, ten bars make a square, and ten squares make a cube. This pattern continues throughout the number system. For example, 10 cubes in a line make 10,000; 100 cubes in a square make 100,000; and 1,000 cubes made into a giant cube make 1,000,000. You can repeat the pattern to represent any natural number.

Materials Needed

• 9 one-unit golden beads
• 9 ten golden bead bars
• 9 one-hundred golden bead squares
• 1 one-thousand golden bead cube
• A very small bowl (holds up to 9 golden bead units) or a small wooden block with 9 indentations to hold the unit beads
• Presentation tray with felt lining or a place mat
• Appropriate containers for each bead category (units, tens, hundreds, thousand) — you can use a small egg cup for units and progressively bigger containers for tens, hundreds, and the thousand cube

How to Make the Materials

To make the bead materials for this lesson you will need about 2,000 golden beads (7 or 8 mm) and wire. You can use plastic beads that are very shiny and pretty with copper jewelry wire — they turn out great! Use 18-gauge wire and about 8 mm beads with pre-drilled holes. If you prefer glass beads, it may be more cost-effective to purchase from a Montessori supplier.

Ten bead bars: Set aside 10 bead units. Cut about 3½ inches of wire. Loop and secure one end with needle-nose pliers, string on 10 golden beads, and secure the other end with a loop. Make 199 ten-bead bars total. Set aside 9 ten-bead bars and the 10 single unit beads.

Hundred squares: Take 10 golden bead bars and lay them flat in a square. Thread the 10 bars together with wire at the top and bottom, tucking in the wires securely. Make 19 hundred squares. Set aside 9 hundred squares.

Thousand cube: Take the last 10 hundred squares and stand them on end. Thread them together with wire, tucking the ends in securely. The loops should all be on two sides together. You may need to hot glue the hundreds together to keep the cube stable, or thread the beads through plastic needlepoint mesh.

Easy method: You can print the golden bead template and make the ten bars, hundred squares, and thousand cube by gluing them onto light wood or durable cardboard.

📄 Free Printout

Download our free Golden Bead Material template to create your own printable ten bars, hundred squares, and thousand cube:

Download Golden Bead Material Printout (PDF)

Exercise 1: Presentation of the Decimal System

Age: 3 and up

Material

• 1 golden bead unit
• 1 ten golden bead bar
• 1 hundred square
• 1 thousand cube

Presentation

Introduce each bead member (1, 10, 100, 1,000) using the three-period lesson. Hint: You can make the introduction easier by introducing 1 and 10 the first day, then adding a new bead member each subsequent day — 100, then 1,000.

Take one golden bead unit, one ten golden bead bar, one hundred golden bead square, and one thousand golden bead cube on a felt-lined tray to the table. When presenting the material, lay out the quantities as you would write number places: 1,000, 100, 10, 1 — cube, square, bar, and unit from left to right.

1. Show your child the one bead unit and say, "This is one." (Your child will know this!) Let your child hold and feel the bead.
2. Introduce the ten golden bead bar and say, "This is ten." (Again, your child will probably recognize this.) Let your child hold the ten bar and count the beads.
3. Show the hundred square and tell your child, "This is one hundred." Let your child count the 10 golden bead bars in the square to discover it is made of 10 bars.
4. Show your child the thousand cube and say, "This is called one thousand." Count with your child to show that ten hundreds make one thousand.

Let your child hold and compare the bead materials. Usually, the heavy cube gets the best response with, "This is heavy!"

Ask your child to show you 1, 10, 100, and 1,000. Mix up the quantities several times and ask in random order — such as 10, 1, 1,000, and 100. Then ask your child the name of each quantity.

If your child wants to count independently, that's wonderful! Sometimes an inventive child will take the single bead and count out the ten bead bar, then take the ten bead bar and count out the hundred square, and finally take the hundred square and place it on top of each hundred within the thousand cube, counting out ten hundreds.

Exercise 2: Building the Quantities

Age: 4 to 4½

Material

• 9 unit beads
• 9 ten bead bars
• 9 hundred squares
• 9 thousand cubes (or 1 thousand cube)
• Felt mat

Presentation

Take the material on a tray to your child's table and spread a felt mat on the table.

Units to tens: Put out the unit beads one at a time, letting your child count them. Make a straight line as if making a ten bar. When your child reaches nine, say, "If you had one more golden bead it would make 10." Take away the nine beads and replace them with a ten golden bead bar. If this is simple for your child, you can ask, "If you had 1 more bead, how many would you have?"

Tens to hundreds: Count out the nine ten golden bead bars one by one with your child. Put the tens side by side as if making the hundred square. When the nine bars have been counted, explain, "If you had one more, there would be one hundred." Take away the tens and replace with a hundred square.

Hundreds to thousands: Count the hundred squares with your child one by one. Place the squares on top of each other as if making a thousand cube. After all nine squares have been counted, say, "If there was one more hundred, that would make 10 hundreds. Ten hundreds make one thousand." Take away the hundred squares and replace them with the thousand cube.

For nine thousand cubes: Count the thousands with your child one by one. Place the cubes in a line. After all nine cubes have been counted, say, "If we had one more cube, it would make ten thousand."

You can make more thousand cubes for your child as needed. Later on, you can introduce one million this way. Let your child do the exercises on his or her own.

Exercise 3: The Fetching Game

Age: 4½ to 5½

You can do this with one child or a small group of children.

Purpose: To reinforce the name of the quantities with the actual golden bead material.

Materials

• Units, tens, hundreds, and thousands
• Tray with felt or place mat
• Small container or bowl for unit beads

Presentation (Small Group — 3 to 4 Children)

The golden bead materials are arranged on a table with the units on the right and thousands on the left. Each child takes a tray. Ask each child to bring a quantity from one category: "Bring me 3 hundreds" or "Bring me 5 tens." As each child returns with the quantity, the child identifies it, and you count it together. Have the child put the quantity back in its proper place. Repeat often over the following days.

Gradually ask for more complicated amounts until your child can bring four number groups at once — for example, 1 thousand, 5 hundreds, 4 tens, and 3 units.

Presentation of the Decimal System — Number Cards

Age: 4½ and older

Purpose: Present written symbols of numbers for the golden bead materials — units, tens, hundreds, and thousands. This gives your child an understanding of the makeup of the decimal system.

Exercise 1: Learning the Names

Purpose: To learn the names of hundred and thousand in association with their respective quantities.

Material

A set of large number cards on which the numbers 1 through 9,000 are written:

• Numbers 1–9 in dark green on short cards (7 cm × 5.5 cm)
• Numbers 10–90 in light blue on medium cards (7 cm × 11 cm)
• Numbers 100–900 in red on longer cards (7 cm × 18 cm)
• Numbers 1,000–9,000 in green on the longest cards (7 cm × 22 cm)

You can get card stock from any office supply store and print out the numbers. Store the cards in a box or container.

Presentation

Show the 1 number card, the 10 number card, the 100 number card, and the 1,000 number card to your child. Your child will be able to tell you the numbers 1 and 10. Tell your child the names of "hundred" and "thousand." Teach these numbers using the three-period lesson. Mix up several times.

Exercise 2: Placing Number Symbols in Order

Purpose: Your child places the number symbols in order from longest to shortest.

Take all the cards and count with your child. Start with the units and count: "1, 2, 3, 4, 5, 6, 7, 8, 9." Put the numbers in order on the right side of the working area. Lay out the tens next: "ten, two tens, three tens," and so on up to nine tens. Then lay out and count the hundreds: "1 hundred, 2 hundred, 3 hundred," up to 9 hundred. Finally, lay out the thousands.

Thousands	Hundreds	Tens	Units
1000	100	10	1
2000	200	20	2
3000	300	30	3
4000	400	40	4
5000	500	50	5
6000	600	60	6
7000	700	70	7
8000	800	80	8
9000	900	90	9

Easier variation: Use only the 1,000 card at first and put away the cards 2,000 to 9,000. Introduce the 2,000 through 9,000 cards after the easier lesson is mastered.

Exercise 3: Fetching Number Card Game

You can do this with a small group of children — make sure they have completed Exercises 1 and 2.

Children spread out the cards so the numbers can be seen clearly. Take turns asking each child to fetch a card: "Bring me 200." As this gets easier, increase complexity: "Bring me 100 and 9 units," then later, "Bring me 300, 6 tens, and 4 units."

Lastly, have the children put the numbers in proper order from longest cards (thousands) to shortest cards (units).

Advanced Lesson

Give your child a card and have them tell you what the number is.

The Golden Bead "Banking Game"

Purpose: Associate the number cards and bead quantities up to 9,000.

Age: 4½ to 5½ and upward

Materials

• 9 golden bead units, 9 ten golden bead bars, 9 hundred golden bead squares, and 9 golden thousand cubes (you can use representations of these units)
• Complete set of large number cards (1–9,000)
• 2 table areas
• Mat

Presentation

Have the children lay out the number cards in four columns (thousands on the left, units on the right) as shown in the table above. The golden bead material is laid out similarly on another table in the same order — thousands on the left, hundreds next, tens next, and units on the right side.

1. Show your child a card and ask him or her to fetch the corresponding quantity. "Can you find this with the golden beads?"
2. Check the beads on a mat. Put the card back and ask your child to return the beads to their place.
3. Repeat this exercise over the following days.
4. When your child is ready, take several cards out and show them one at a time. For example, take out the 100 card, the 50 card, and the 3 card. Ask your child to fetch the beads.
5. When your child brings the beads, check the quantity. Then place the cards on top of each other with the longest at the bottom. Hold the cards together and tap down on the unit end on the table. The cards are now level and read 153.
6. Say, "One hundred fifty-three."
7. At this point you can introduce the Seguin Boards. Until now your child may have been calling fifty "five tens." This usually sparks interest in the new name, and all the Seguin Boards can be taught.

Reverse Exercise

Put various quantities of bead material on the children's trays and ask the children to bring the cards that correspond.

Recommended Materials

If you'd prefer to purchase ready-made golden bead materials, these are excellent options:

• Elite Montessori Golden Bead Material
• Golden Math Bead Material – Montessori Number Learning

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