How many dots? |
Portel - Portugal |
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Age: 6 Aims: 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: 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 : 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/classMain part: - 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:
- 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).
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