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Montessori Lesson: Learn about Golden Beads

By Marnie Craycroft Filed Under: Montessori, Montessori 101, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

The overview of Montessori golden beads continues the child down the path of learning place value and the decimal system. The goal for the child is to garner a sense of quantities represented in the decimal system, and to see the exchange of quantities as units become ten, tens become hundred, and so on.  This lesson is generally for 5 years and older.

How to present Montessori golden beads

Montessori Golden Beads Presentation I

Transition from Bead to Wooden Material

wooden bead material

Introducing the wooden material very simply transitions the child from bead to wooden material.

wooden

Montessori Golden Beads Presentation II

Explain to the child that this work requires two mats. Have the child help spread the mats. Get the container of the units and begin to count them.

Place the units in a well-spaced vertical line at the right side of the mat.

unitsgboverview

Put one unit at the top: “one unit”.

Then two units next in line: “one, two units”.

Place three units next in line: “one, two, three units”.

The child takes over at this point.

unitstensgboverview

At nine units explain, “You have nine units. What comes next? Yes, ten. So we need a ten bar instead of ten units. We also move to a new place.”

Get out the ten bars and start a vertical row to the left of the units. Proceed in a similar manner to presenting the units.

over_gb_3

After the 9th set of ten bars, “Now, you’ve lined up nine ten bars, what do you need next? Right, hundreds. Where will you put the hundreds. That is right. We have to put them in a new place.”

Have the child bring the hundred squares. Lay out the hundred squares in a vertical row. Introduce in a similar manner as the units and the tens.

overviewgb

After nine hundreds, ask the child what comes next and where it goes. Ask her to bring thousand cubes over to the mat.

Introduce the thousand cubes in a similar manner to the units, the tens and the hundreds. The cubes are stacked on top of one another. Once all the cubes are stacked, invite the child to stand at the bottom

Variations

Question the child about the place values as he admires the finish work

Ask the child to point out various quantities on the mat

Have the child “teach” another child from the classroom

Child can place quantities “randomly” or two at a time rather than all the units at once

Extensions

Draw or color a sketch of the layout

Child can recreate using other objects

I'd love to see how you present Montessori golden beads in the classroom or at home. Come by the Carrots Are Orange Facebook page to share your presentations.

Thanks for reading!

Marnie

Filed Under: Montessori, Montessori 101, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions

80 + Easy & Engaging Every Day Montessori Math Extensions

By Marnie Craycroft Filed Under: Montessori, Montessori Lessons Tagged With: Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

Montessori Math Extensions & Variations

Learn over 80 Montessori Math Extensions & Variations for your Homeschool and Classroom

Number Rods

  1. Count around the triangle formed by the stair
  2. Fetch game
  3. Greater than/less than
  4. Challenge child to find two rods that match the length of a third rod

Sandpaper Numerals

  1. Play Memory
  2. “What’s missing?”
  3. “Knock, Knock”
  4. Secret message games like tracing a number on a child’s back or palm & having the child guess which number
  5. Play “Go fish”

Number Rods & Numerals

  1. Fetch game
  2. Randomly array rods on mat. Ask the child to find the longest rod. Count the segments. Find the numeral that goes with it.
  3. Ask the child to find the next longest rod and the numeral that goes with it. Ask the child which rod could we place with the 9 rod to give us 10. And so on.
  4. Mystery number with two children. One child gets secret numeral, counts objects to match the numeral. The other child counts the objects and finds the rod to match the secret numeral.
  5. See examples above from Number Rods lesson

Spindle Box

  1. Use other objects in place of the spindles
  2. Play “What's Missing?”
  3. Play “What's Wrong with this Picture?”

Cards & Counters

  1. Use other objects in place of the red counters (like the acorn example above)
  2. Lay counters out in a different pattern under the numerals
  3. Work with larger quantities
  4. Child makes on set of cards and counters
  5. Work with larger quantities & identify odd and even number

Golden Beads Presentation Tray

  1. Play What's Missing? game
  2. Mystery Bag with items on the tray
  3. Mix up items from tray and have the child put them in order
  4. Make own beads
  5. Draw beads in Presentation Tray
  6. Color photocopy of sketch of tray
  7. Nomenclature cards of materials

Equivalence & Crisis of Nine Tray

  1. Use separate mats for each quantity so the child must move his body considerably to count the beads
  2. 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.
  3. Make a Take Home Booklet showing equivalence. So, ten units on one page and a ten bar on the opposite facing page. etc
  4. Draw or color the bead material

Overview of the Golden Beads

  1. Question the child about the place values as he admires the finish work
  2. Ask the child to point out various quantities on the mat
  3. Have the child “teach” another child from the classroom
  4. Child can place quantities “randomly” or two at a time rather than all the units at once
  5. Draw or color a sketch of the layout
  6. Child can recreate using other objects

Overview of Numerals

  1. Child can construct this horizontally.
  2. Can remove symbols and have child guess “what's missing”.
  3. Can ask the child to turn away, while you move cards out of sequence. find the mixed up cards and fix them.
  4. Child can record this on graph paper or make her own set of cards.

Composition of Symbols

  1. Child partners with another child to play fetch

Bird’s Eye View

  1. Remove or mix numerals or quantities. Child has to guess what is missing or reorder the mixed items.
  2. Invite the child to give a tour of the places and values in the decimal system to any child who comes to look at his work.
  3. Guide the child who is getting the demonstration to ask for directions to the 5 thousand symbol, the 600 quantity, etc.
  4. Child can sketch his work.
  5. Child can write a story about his bird's eye view of the decimal system.

Composition of Numerals and Quantities

  1. Use boxes of prepared slips mentioned under formation of symbols and let an older child take the teacher's role. He or she can be doing math work too by “recording” turns on a chart or graph if introduced to its use.
  2. One child can set up a quantity of beads, her friend has to form the appropriate symbol. Or she can form symbol, and friend must form quantity. Another child can record the outcome of this work on a chart too.

Bank Game

  1. Child can count random quantities or the whole bank.
  2. Child can count stamps in the stamp game after having an introduction.
  3. Can do this with pennies, nickels, dimes, quarters and dollars to teach equivalence of coins.

Golden Bead Operations

  1. Gradually withdraw from giving child numerals and let him read numerals in a prepared booklet or copy them from a card. At this point direct the child to begin his work by preparing his own small bank which he keeps on a tray on his mat. This reduces trips to the shelf which confuse and frustrate many children during calculation work. If working on static problems, the child needs nine of each quantity in his bank. If working on dynamic problems he needs eighteen units, tens, and hundreds and nine thousands in his bank.
  2. When the child can work from a booklet, he is probably ready to do these problems individually.
  3. If writing is a problem, stamps can be used to record the answers.
  4. Child can make up his own equations after having learned procedures for dynamic.

Stamp Game

  1. Variations are offered in the equation sequence and in the ways of offering the equations.

Dot Game

  1. The child could record the dots in the colors that correspond to each category (green, blue, red,).
  2. Children will sometimes choose to record something other than dots in each box.

Number Rod Addition

  1. You can give the child prepared equation booklets with equations ordered (each page contains the same addend added to all other possible units. 1+1, 1+2, 1+3 etc. The equations may be ordered or random.)
  2. You can prepare baskets of equation slips which the child selects and does randomly.

Short Bead Stair Addition

  1. Equation booklets with pages in order or random, or blank booklets for the child to fill with his own equations.
  2. Blank booklets for child to make up his own equations.
  3. Printed outlines of the bead bars for the child to color, cut out, label, into equations.

Addition Strip Board

  1. Child can find all the combinations that make a certain number and cross old the duplicates. This is the commutative law of addition.
  2. Child can be given a booklet of equations out of order or in order, or random equations in a basket.

Subtraction Strip Board

  1. Booklet with equations 1 – 1, 2 – 2, 3 – 3, 4 – 4, to 10 – 10 on one page; 2 – 1, 3 – 2, 4 – 3 to 10 – 9 on next page; 3 – 1, 4 – 2, 5 – 3 on next page; etc. All answers on a page are the same.
  2. Booklet of 2 – 0, 2 – 1, 2 – 2 on one page; 3 – 0, 3 – 1, 3 – 2, 3 – 3 on the next page; etc. up through 9. Another booklet which follows same pattern from 10 – 18.
  3. Random equations in a basket.
  4. Child makes up his own equations.
  5. Child can be given loose counters to do these booklets. She forms the quantity, takes away the subtrahend, and records the difference.

Short Bead Stair Multiplication

  1. Build the entire Table of Pythagoras. Put out each number times itself to notice what is formed.
  2. Build the plastic decanomial.
  3. Do the same equations with a pegboard.
  4. Draw these equations on graph paper.

Multiplication Board

  1. Random equations in booklet form.
  2. Random equations from a basket.

Division Board

  1. Random equations on slips in a basket.
  2. Choosing a number between 1 and 81 to divide, and trying all possible divisors.

Composition of Quantities

  1. Child can retrieve quantities from the bank
  2. Children can work together to request quantities and record those quantities

Introduction to Numerals

  1. “What is missing?” game
  2. Turn cards over. Ask the child to identify the numerals from the size of the card.
  3. Place cards randomly. Ask the child to order first by looking, then by touching only.
  4. Child makes own set of cards
  5. Child colors in numerals
  6. Child creates own version of presentation tray

Filed Under: Montessori, Montessori Lessons Tagged With: Variations & Extensions

Montessori Math Composition of Symbols

By Marnie Craycroft Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

Composition of Symbols is a lesson within Place Value and the Decimal System of Montessori Math.

composition of symbols

 

This work needs the complete set of numerals.

Composition of Symbols Presentation

montessori composition of symbols

Request the child take the tray and bring you a numeral that says “5” units. When he returns, ask him to tell you what he brought to you.  Continue with units, tens, hundreds, and thousands. Always ask the child about the quantity. Check & recheck.

montessori composiiton of symbols hundreds

When the child is ready to bring cards from several quantities, be sure that he brings the quantities individually on the tray. Then, ask the child what he has on his tray, stack the cards, and ask him to read the cards again: “5 tens and 7 units”. If the child reads: “57”, reply to him: “Yes but how many tens is that? How many units?”

montessori composition of symbols thousands

When the child is ready to bring cards from several quantities, be sure that he brings the quantities individually on the tray. Then, ask the child what he has on his tray, stack the cards, and ask him to read the cards again: “3 hundreds, 5 tens and 7 units”

When the child is ready to bring cards from several quantities, be sure that he brings the quantities individually on the tray. Then, ask the child what he has on his tray, stack the cards, and ask him to read the cards again: “2 thousands, 3 hundreds, 5 tens and 7 units.”

Variations

Child partners with another child to play fetch

Isn't Montessori Math amazing? Be sure to check out my other Montessori Math lessons! If you want more background on Montessori Math philosophy, check out this Montessori Math Philosophy overview page! Montessori Math is beautiful on so many levels throughout all levels of the Montessori classroom. Please don't hesitate to contact me about the Composition of Symbols lesson, Montessori Math, or anything that might be on your mind.

Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions

Learn Composition of Quantities Montessori Math Lesson

By Marnie Craycroft Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

This Montessori Math lesson composition of quantities comes after the Overview of Golden Beads. The goal is to practice what was just introduced in the Overview. So, children will review quantities and language of the decimal system.  With this practice, place value will be emphasized for the child, the reinforcing the concept.

comp_quant

Composition of Quantities Lesson

Request that the child finish the bead layout so that you can show him something new, Composition of Quantities.

comp_quant_units

Request that the child go to his layout and get a specific quantity of units. Make sure the units are on the right side of the tray in their dish. Ask him to tell you what he has brought and to count them into your hand. Then have him return the units to the proper place in his layout.

comp_quant_tens_hundreds_thous

When he returns ask him to retrieve another quantity. Always check the quantities, always ask the child to tell you what he has brought to you and always ask the child to count the quantity.  The sequence should go units, tens, hundreds, and thousands. The child should practice many times. The child should practice random quantities.

comp_quant_random

The child should practice random quantities of units and tens, hundreds and tens, hundreds and thousands, all three and then all four categories.

Give the child quantities with zero is each of the three places.

Variations & Extensions

Child can retrieve quantities from the bank

Children can work together to request quantities and record those quantities

Further Composition of Quantities Resources

Montessori Small Wooden Number Cards with Box
Montessori 10 Wooden Hundred Squares
Montessori 9 Wooden Thousand Cubes

Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions

Montessori Math Equivalence & Crisis of Nine Tray

By Marnie Craycroft Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

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

Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions

Montessori Math Beads Presentation Tray

By Marnie Craycroft Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions This post may contain affiliate links. Please read my disclosure for more info.

The Golden Beads Presentation Tray is the first lesson in Montessori Math: Introducing Place Value and the Decimal System. The Montessori Math Golden Beads Presentation Tray is a simple presentation including one of each of a unit, a ten bar, a hundred square, and a thousand cube. The goal is to introduce the child to the language of the beads, to the decimal system, and give a concrete exercise with the decimal system.

Golden Bead Presentation Tray

Montessori Math Golden Beads Presentation Tray

Presentation I

  • Let the child know that he is ready for the golden beads. Spread mat on the floor.
  • “This is the presentation tray of the golden beads. We must be very gentle with them. These beads are very special and we need to be careful not to break or lose them.”

golden beads tray sequence

“This is a unit. Would you like to hold it? Can you say unit?”

  • Place the unit back on the mat. Proceed with the ten bar in the same manner.
  • Pick up the hundred square and introduce it. Lay it left of the ten bar.
  • Once the child is comfortable with the hundred square move onto the thousand cube. Give 3 Period Lessons.

Presentation II

GB Presentation Tray Pres 2

This lesson is about attributes. Talk about how there are ten units in a ten bar, ten ten bars in a hundred square and so on. Compare and contrast the unit, ten bar, hundred square and thousand cube by weight, quantity, etc.

Variations

  • Play What's Missing? game
  • Mystery Bag with items on the tray
  • Mix up items from tray and have the child put them in order

 

Extensions

  • Make own beads
  • Draw beads in Presentation Tray
  • Color photocopy of sketch of tray
  • Nomenclature cards of materials

 

Resources

  • Montessori Introduction to Decimal Quantity with Presentation Tray from Amazon
  • Match pictures of Golden Beads to Numbers and Words download from Montessori Printshop
  • Golden Bead Control Chart & Blackline Masters download from Montessori Printshop
  • Math Materials 3 Part Cards download from Montessori Printshop

Filed Under: Montessori, Montessori Lessons, Shelf Work Tagged With: Math, Math Lesson, Variations & Extensions

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