How many dots?

Escola Básica 2,3 D. João de Portel

Portel - Portugal

Age:
6
 

Aims:
•  To establish numerical relationships ;

•  To make regressive and progressive counts on;

•  To compose and decompose numbers;

•  To compare and order numbers;

•  To memorize basic facts of addiction;

•  To use mental and written calculation strategies for the necessary operations;

•  To verify the existence of doubles;

•  To formulate and test conjectures related with simple mathematics situations;

•  To communicate orally and in writing , using the natural language and mathematical language, interpreting, expressing and discussing results, processes and mathematical ideas;

Materials:
Investigation (pupils): dices of different colours, strips of paper, white paper sheets, colour pens, worksheet.

Presentation (pupils): Strips of paper with the register of the dots achieved from the several launches made by both teams.

Introduction:

•  Oral explanation of the work to be done in the classroom - 10 minutes;

•  Five groups composed by four pupils each;

Clarification of some main concepts/ main questions to be made :
•  Describe these objects. (dice)

•  What do you know about dice?

•  Launch the dices and write the number of dots.

•  Add the number of dots of both sides. What's the result? Write it down on the sheet.

•  When throwing the two dice at the same time, how many opportunities of get out the same number of different spots are there?

•  Did you already find out all possible different combinations? Compare your work with your colleague or submit it to the class.

•  Find out many other possibilities that you didn't find out or register.

•  Exploration of the task carried out by the pupils – 20 min. – group work

•  Discussion of the task – 40 min – large group/class

•  Final systemization – 10 min. – large group/class

Main part:
- Exploration of the task carried out by the pupils

- Pupils should solve the task autonomously but under the supervision of the teacher

- Presentation: Slips of paper with the registration of the dots achieved from the launch of both teams

- Discussion of the results in large group

- Contents systematization

Roundup:

- Pupils can easily solve out this activity and the conclusions that they achieve allows them to acquire some knowledge of the main mathematics issues.

- They can easily find out that:

.the addition of the dots from one side with the dots of the dice doesn't change if we modify the order of the parcels. Ex. 4+3=7 e 3+4=7;

. by launching two dices there are 36 different possibilities of matching the dots and obtain numbers comprehended between 2 and 12 include;

. we can never obtain o nº1 because none of the dices has a face without dots;

. by launching two dices its possible to obtain six different doubles (1+1, 2+2, 3+3, 4+4, 5+5 e 6+6);

.each number of dots from one side its possible to combine with six different numbers from the other side of the dice (6x6=36 possibilities).