Montessori AMI Primary Guide
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Introduction
     
Numbers through Ten
  Number Rods
  Sandpaper Numbers
  Number Rods and Cards
  Spindle Boxes
  Concept of Zero
  Cards and Counters
  Memory Game
     
Decimal System
  Introduction to quantity
  Symbols
  Formation of Numbers
  Changing
  Addition
  Multiplication
  Substraction
  Division
  Stamp Game
  Dot Game
  Word Problems
     
Linear & Skip Counting
  Teens: Quanity
  Teens: Symbol
  Tens: Association
  Linear Counting
  Skip Counting
  Number Roll
     
Tables of Arithmetic
  Addition Snake Game
  Strip Board - exercises
  Addition Strip Board
  Addition Charts
  Substraction Snake Game
  Substraction Strip Board
  Substraction Charts
  Multiplication Bead
  Multiplication Board
  Multiplication Charts
  Unit Division Board
  Division Charts
     
Passage to Abstraction
  Small Bead Frame
  Wooden Hierarchical Material
  Large Bead Frame
  Racks and Tubes
     
Fractions
  Fractions
     
     
 

Tens: Asscoiation of Quantity and Symbol, Boards, Cards and Beads

Materials

- Presentation 1:
Two boards similar to the teen boards but with the numbers 10 – 90 printed on them.
Nine bead bars of 10

- Presentation 2:
The ten boards
A set of loose cards from 1 – 9
Nine ten bars
Ten unit beads


Presentation 1: Terminology

  1. Place all the beads at the top of the mat and then lay out the cards and boards in the same way as in the Teens Presentation.
  2. Read all of the numbers on the board with the child. (The child will probably say: 1 ten, 2 ten, 3 ten, etc.)
  3. Give the correct names (ten, twenty, thirty, etc) three at a time in a Three Period Lesson.
  4. Once the child knows the names for all of the numbers, read through them forward and then backward with the child.
  5. Emphasize that most of them end in “ty”. Look with the child at the numbers that do this: 20, 30, 40, 50, 60, 70, 80, 90. Tell the child that the “ty” tells us that there is a ten in the number. “40 tells us that there are 4 tens.”


Presentation 2: Boards and Beads

 
Layout of the mat and
materials ready tobegin the presentation:
layout of the mat
  1. Take out and place all of the beads onto the mat. Then place the 1 card to make 11 in the top slot.
  2. Place a ten-bar and a unit next to the cards. Have the child count and say how many there are.
  3. Ask if that is what the cards say. Yes.
  4. Have the child add on unit. Have him count the beads. (12) Ask if that is how many the cards say. No
  5. Have the child change the cards to read 12.
  6. Once you have made 14, show the child that we can simply point to the ten-bar and automatically know there are ten.
  7. Repeat until the child has formed 19. 
  8. When you reach 20 (made by a ten bar and ten unit beads), have the child take a ten and exchange it for the ten unit beads bar to make 2 tens.
  9. Ask if the cards say 20. No. Take the 9 card out of the slot and ask if there is a place that says 20 (the second slot does).
  10. Have the child bring the two ten-bars down next to the second slot.
  11. Add a unit next to the two ten bars.
  12. Have the child count: 10, 20, 21.
  13. Ask if that is what the cards say. No. Have the child add the 1 card to the 20 to make 21.

    Shows only half of the board

    montessori, tens association

  14. Repeat in this manner until 99.

Purpose

Presentation 1
To teach the names twenty, thirty, forty, etc…and to
show the child that twenty is two tens and so for the up to ninety.

Presentation 2
To teach sequence, the numbers from 11 to 99.

Control of Error
The child’s own knowledge.


Age
4 1/2 years onwards


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