Mathematic Lesson Descriptions
Sandpaper Numbers
Age: 3 ½4 years
Materials: green cards (approximately the size of sandpaper letter cards) with sandpaper numerals from 09
Purpose: to introduce number symbols up to 9
Presentation:

place all cards at the upper right corner of a table where you will work with the child

center one numeral card on the table

place left hand on the side of the card

trace number with two fingers and say the name of the number
gracefully use wrist, distinct steps at each end of the number (stopping drastically)
5. give the number to the child for the child to trace and repeat the name
6. when done put at the upper left of the table in a pile
7. do first three numbers and continue with other numbers when child knows the previous three
Red and Blue Rods With Numbers
Age: 3 ½  4 years
Materials: red and blue rods, a set of numbers from 110 tall enough to stand up against the rods
Purpose: to match the abstract number to the correct rod
Presentation:

place rods on a floor rug correctly

take one number out at random and ask the child the number

count the ends of each rod to find the number

place the number under the rod while holding the end of the rod with other hand

repeat with two or three more rods

have the child finish the rest of the rods

show child that the numbers stand up

clean up work and put away one rod at a time
Cards and Counters
Age: 4 years
Materials: ten numeral cards from 110, fiftyfive discs for counters
Purpose: to reinforce sequence of numbers and to introduce the concept of odd/even numbers
Presentation:

on a floor rug place numbers out at random

place first three numbers at the top edge of the rug (starting from left going right) in order

give the box of counters to the child

point to the number one and ask the child to recite the number

ask child to count out the counters at the bottom of the rug next to the box

slide the counter under the number one

continue with all three numbers

slide two as a pair

continue to slide pairs with even numbers


show that three has one left over

let child continue until all numbers are complete

when the child is done introduce even numbers

show odd numbers have one left over, show even numbers have pairs and flip over odd

have child read even numbers while teacher points at the number

teacher reads even numbers

continue repeating even numbers with eyes closed

ask child to do the same

the next day introduce odd numbers the same drastically pointing out that they do not have a partner
Short Bead Stair
Age: 4 years
Materials: one set of colored bead bars (each bar is a different color; there is a bar representing each quantity from 19), one set of numerals from 19
Purpose: to get familiar with the number association to the colored bead bars
Presentation:

at a table lay numbers out in order starting from the top of the table and going down

choose one bead and count

place bead under the corresponding number

continue with all beads

review all beads and numbers

to go further, take one bead away and ask what color is missing
Spindle Boxes
Age: 4 years
Materials: 2 wooden boxes: each box is divided into five compartments with numerals on the back: 04 and 59, one box that contains 45 wooden spindles
Purpose: to reinforce child’s understanding of number names
Presentation:

place the two boxes and spindles at a table

place the box with the spindles next to the box that has zero

point to the numbers and let the child read them to you starting with one and continuing to nine

allow child to count one spindle in your hand

count the spindle back into both of the child’s hands

child puts the spindle in the container

repeat these steps with all the numbers and spindles

explain zero to the child zero is the empty set, it requires nothing

clean up work
Teen Board
Age: 4 years and up
Materials: teen boards and wooden numeral cards, nine golden tens, one set of short bead stair
Purpose: to learn teen numbers
Presentation: Beads Only1st day

build bead stair on a floor rug

place all tens on mat making a square on the left side of the bead stair

pick up the first set of beads always starting with a ten bead

line a ten and the red bead at the top of the mat

explain that we added 1 ten and the 1 bead to make 11

10+1=11


continue with all numbers
Numbers Only2nd day

open the box containing the boards on a floor rug

place the lid under the box

lay out the boards in the middle of the floor rug

lay out out numbers in order on the right side of the rug

close box and place on the bottom of the rug

show child the first 10 and ask what number it is

explain that you are going to add one to the ten

slid the number one on the board and have child read the number 11

continue with all numbers

repeat the names of all the numbers when sliding a unit on the tens

review all numbers
Association with Beads and Numerals3rd day

lay out teen boards with the bottom of the board touching the bottom of the rug

set up numbers 19 on the left side of the rug

match the beads to the numbersunit beads matched to unit numbers

put box awayeither on the top of the rug or back on the shelf

point out the number ten on board

start with ten bead

place next to the first ten on the board

add red bead next to teen board

add number to board “now we made it say 11”

10+1=11

continue with all numbers
Hundred Board
Age: 4 years and up
Materials: the one hundred board, numerals 1100 on wooden tiles, a container for the tiles
Purpose: to reinforce counting
Presentation:

at a table or floor rug take out one number

show child how to organize numbers by grouping them in their respected tens

when placing numbers in categories or tens make sure all the vertical numbers are touchingall 40s touching each other

take out each number at random after placing one of each category on top of table or rug and place under correct column

put board on left side of numbers

continue organizing with all numbers

when all numbers are organized place numbers correctly on board

place numbers on board using one column at a time

when column is complete slide the next column to the left of the board

continue placing numbers until all numbers are on the board
Golden Beads With Numerals
Age: 4 years and up
Materials: a tray containing; 1 golden unit bead, 1 golden ten bead, 1 golden hundred bead, 1 golden thousand bead, tray with color coordinated numbers 1,10,100 and 1000
Purpose: to introduce names and relative sizes in hierarchy of numbers
Presentation:

take materials to a table and start by naming the one and ten bead

ask the child to repeat the names of the numbers by pointing to the bead

continue with the hundred and thousand bead

once the child can name the beads introduce the numbers

point to a bead and ask child the name of the bead

place the corresponding number on the bead and say, “This is one unit, this says one unit.”

continue with all beads
Stamp Game
Age: 4 years and up
Materials: 9thousand paper stamps, 20hundred paper stamps, 20ten paper stamps, 20unit (ones) paper stamps, pencil and paper
Purpose: familiar with the idea of abstract addition
Presentation:

at a table an adult will write out an addition problem using a thousand, hundred, ten and unit for each number

take out corresponding thousands, hundreds, tens and units from the top number on paper and place stamps towards the top of the table or mat

leaving a space from the top number, take out corresponding thousands, hundreds, tens and units from the bottom number on paper and place stamps under the first set of stamps

slide all ones together, then tens, hundreds, thousands

count all ones, then tens, hundreds, thousands

record answer on the paper after counting each category

replace the stamps

allow the child to work independently

stack numbers accordingly and place back inside of the envelope