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Counting
by 5's and 10's
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Date: Jan. 16, 1998
From Michelle
Gonsalves with a short introduction from the math coordinators:
To: Michelle and Sarah and the 1st grade bilingual
students:
We think this is a great idea, not only for students
learning how to count but for anyone who is curious about patterns in nature
and society. Perhaps all the teachers can challenge their students to think
of the things that come in 5's and 10's in their worlds.
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Thanks! Kristin, Enid, & Elizabeth
Para Michelle y Sarah y los estudiantes del primer
grado bilingue:
Es una estupenda idea , no solo que los estudiantes
comiencen a contar, sino para todos los que observamos con curiosidad los
patrones en la naturaleza y la sociedad. Quizas todos los maestros puedan
estimular a sus estudiantes a pensar en las cosas que se agrupan de cinco
en cinco, de diez en diez...
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Gracias. Enid, Kristin, y Elizabeth
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Message from Michelle and Sarah and their 1st
grade class
To all Math Project Participants:
Our two first grade classes, here in Livermore,
California, USA, have come up with a Math project. We are presently learning
how to count by fives and how to count by tens.
Our curiosity leads us to wonder which of nature's creations come in fives
or
tens. We are also curious about other things
in our environment that come in fives and tens, for example, money or currency.
It is helpful for us to learn to count by fives
and tens, so that we may learn to count coins and dollars here in the United
States.
Does your currency also come in denominations
of ten or five?
Have you found things in our natural world that
always have five or ten of some part? When we get to learning about measurement,
we might find other uses for being able to count by fives and/or tens.
We are looking forward to our discoveries here
in California and, with your help, all over the world.
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Michelle Gonsalves' and Sarah Lazarotti's
First Grade Bilingual Classes
Spanish version
A Todos los Participantes del Proyecto de
Matematicas:
Nuestras dos clases bilingues de primer nivel
de grado, aqui en Livermore, California, USA, han pensado en un proyecto
de matematicas. Estamos aprendiendo contar de cinco en cinco y de diez
en diez. Somos curiosos para saber cuales cosas o creaturas, que tienen
cinco partes, existen en nuestro alrededor o en la naturaleza.
Por ejemplo, en aprender contar el dinero de los
EEUU hemos observado que es necesario poder contar de 5 en 5 y de 10 en
10. #192# El dinero de su pais funciona asi?Cuando empezamos estudiar medidas,
creemos que vayamos a encontrar mas
razones de poder contar de 10 en 10.
Tenemos mucho entusiasmo para descubrir cosas
que vienen en cinco's en nuestro alrededor y esperamos con mucho entusiasmo
los descubrimientos que ustedes haran en otras partes del mundo.
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Las Clases de Primero de Sra. Gonsalves
y Srta. Lazarotti
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3 Feb 1998 From Enid
Figueroa and Kristin Brown
Dear friends in the math project:
In this message Petru's group in Romania responds
to the challenge Michelle's and Sarah's group in California presented us:
finding things in our environment that come in 5's and 10's. Can you think
of anything else to add to the list?
Regards, Kristin and Enid
Spanish translation:
Queridos amigos del proyecto de matematicas:
En el mensaje que prosigue, el grupo de estudiantes
de Petru, en Romania, ha respondido al reto que los estudiantes de Michelle
y Sarah en California lanzaron a los participantes del proyecto. Consiste
este reto de identificar en nuestro ambiente aquellas cosas que se encuentran
en grupos de 5 y de 10. Podrian pensar ustedes en algunas mas?
Saludos, Kristin y Enid
From Petru Dumitru
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Dear Michelle, Sarah and Math friends,
We are very glad that we can help you. Right today,
we think on other examples-counting 5's or 10's.
We have discovered come 5's only. You'd
make a lot of flowers, using colored paper or cardboard, because the winter
is coming. I know, it's difficult work, but your little students
deserve it. You'd play with all "The game of the flowers". The following
flowers have 5 petals: potato plant (flower in 5 corner), sun flower (many
little flowers, in tubes forme), beans, apple tree (and familly: wild strawberry,
strawberry, raspberry and blackberry), grape-vine, hardhay (Hypericum perforatum),
sugar beet, flax (Linum- very beautiful blue flowers in 5 petals, of course).
For the time being we have founded a only one example for leaves: a great
hemp's leaf has 5 little.If I can be of any further help, please do not
hesitate to write to me.
Good luck, Petru's Group
10 Feb 1998
Dear All,
Many days we have thought and searched other
ideas about counting, using nature's examples. We was talking over about
it some Biology's teachers. Unfortunately, we heard that many plants have
the leaves in odd numbers, like 3, 5, 7, 9 and 11. We have found other
examples for 3, 4, 6 and 8, if you are interested.
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Best regards to all, Petru & Group
11 Feb 1998, From Petru Dumitru
Dear friends,
We are proposing you a new game for come in 5's
and 10's: LET'S BUILDING A HOUSE!
First we need 4 sticks match to build a square;
we are continuing put 3 sticks match (left or right). We are having a rectangle
contents 7 sticks match and 2 squares (a common side). We put then over
the rectangle 3 sticks match for a trapezium -the house's roof-. Finally,
we have used 10 sticks match.
The next step: We want to add a new storey: we
have to use 5 sticks, for the basis. We have repeat this procedure, for
each storey and we are counting: 10, 15, 20, 25 ... What is your opinion?
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Good luck, Petru and the Group
Idea en espanol:
Amigos, Petru propone un nuevo juego matematico
con agrupaciones de 5 y de 10. Lo llama "Construyendo una casa". Primero
necesitamos 4 palillos para construir un cuadrado, se colocan otros tres
palillos de izquierda a derecha. Hemos construido un rectangulo y dos cuadrados
con un lado en comun con siete palillos. Despues, colocamos sobre el rectangulo
3 palillos para formar un trapecio que es el techo de la casa. Entonces
al final hemos utilizado 10 palillos.
El proximo paso:
Para a#adir otros pisos necesitamos 5 palillos
mas, los cuales seran la base. Repetimos este procedimiento para cada piso
y podemos contar en grupos de 10, 15, 20, 25... Que opinan?
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Buena Suerte, Petru y el grupo
17 Feb 1998, From Enid
Figueroa
Petru's group sent new ideas:
El grupo de matematicas de Petru nos envia
nuevas ideas:
Hi everyone,
1. A new proposal for count 5's and 10's. Let's
count the wheels's cars! Each cars has 4 wheels and a spare wheel = 5 wheels.
So, we'd invite our little students in a parking lot and count from 0,
5, 10....
1. Una nueva propuesta para contar de 5' y de
10' Contemos las gomas (llantas) de los carros (autos). Cada carro tiene
4
gomas y una goma de repuesta, por lo tanto lleva
5 gomas. Asi que en un estacionamiento, los estudiantes pueden contar desde
0, 5, 10...
2. A new game: "Magic square". Let's count:
15, 45, 75, 105...
2. Este nuevo juego se llama el Cuadrado Magico:
Contemos 15, 45, 75, 105..
El resultado de la suma de las lineas (vertical,
diagonal u horizontal) debe ser 15. Si a#adimos un 1 delante de cada numero,
el resultado es 45. Si aŁadimos un 2, el resultado es 75 etc.
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**********
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* 2 * 9 * 4 *
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* 7 * 5 * 3 *
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* 6 * 1 * 8 *
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**********
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************
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* 12 *19 *14 *
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* 17 *15 *13 *
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* 16 *11 *18*
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*************
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************
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*22 *29*24 *
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*27 *25*23 *
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*26 *21*28*
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************
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The sum for each line (horizontal, vertical
and diagonal) must be 15. If we add 1 for the each line, we have 45. If
we add 2, we have 75 etc
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Petru and Math Group
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6 Feb 1998, From Lillis
Weber
Hi all,
Just wanted to add to Petru's list of 5 petalled
flowers. In Florida we have annuals that are called Pentas. They are small
flowers but prolific. They have 5 petals on each flower and come in blues
and pinks. This year they made it through the winter so far - planted in
my front yard. I also have an indoor plant that is a member of the hoya
family. It is also called the Star
Jasmine. It is mentioned in the Video "Donald
Duck in Mathemagic Land" which I show every year. The video shows it unfolding.
It starts out as a perfect pentagram. It is white and waxy looking. Then
it opens from the center into a perfect 5 pointed star with dark pink stamens
inside. The flowers come in clusters that form round balls almost. Good
luck with your search.
Lillis Weber
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20 Jan 1998 From Petru Dumitru
Dear Michelle, Sarah and Math friends,
I and my students have thought to your idea about
count in 5's and 10's. Today we are composing some Math problems, applying
pattern for counting in 3's, 4's, 6's. We used it for all little students
(7-8 years old). They don't know yet the multiplication.
As well known, old peoples had using different
bases, systems of numeration with 4, 6, 8, 10, 12 and even 60.
I met in my teaching activity (20 years, in 1998)
a lot of difficulties to all students who want to transformation the numbers
from one base in other. I found a excuses for students: in our lives we
don't use than (prevalent) the decimal system. "We kept" some numerations'
"bases" in our time: dozen, from old chineses, the circle's measurement
and the clock's divisions, from Phoenicians. Do you know others numeration
bases's using today?
Good luck all, Petru's Group
from Romania
From Aileen Velazquez
Spanish/Espanol
Otra idea desde Puerto Rico:
Hola:
No se si habran considerado la idea de contar
de cinco en cinco con los n#meros en el reloj. Cada numero representa 5
minutos.
Aileen Velazquez, LABMAT 7, Aguas
Buenas, Puerto Rico
English/Ingles
Hello
Please consider the idea to count by 5, using
the numbers of the clock. Each number represents 5 minutes.
Aileen Velazquez, Labmat7, Aguas
Buenas, Puerto Rico
