Phone calls

Escola Básica 2,3 D. João de Portel

Portel - Portugal

Age:
8
 

Aims:
•  To elaborate sequences of numbers according to given mathematic law in investigation and sequences of numbers and table charts;

•  To solve problems in mathematical contexts, adapting and understanding different strategies and assessing results;

•  To develop the reasoning and mathematical communication, formulating and testing conjectures, processes and ideas justifying and explaining results;

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

Materials:
•  Presentation: sheet of paper with the problem

•  Exploration of the task: colour pencils and pens.

•  Pupils' presentation: parchment paper and drawing paper and colour pens by each group of work.

Introduction:

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

•  Split up the students in groups composed by four pupils each;

•  Delivery of the materials;

•  Silent reading of the task carried out by the groups;

•  The teacher clarifies some important questions that may arrise after the reading of the task

•  Exploration of the task made by pupils – 15 min. – pair work

•  Discussion of the task– 55 min – large group

•  Final Synthesis – 10 min . – large group

Main part:

- Exploration of the task carried out by the pupils;

- Pupils presentations : 1 sheet of parchment paper, drawing paper and colour pens – by each group;

- Pupils purpose the resolution of the task;

- Discussion of the results in large group/ class;

- Contents systematization;

Roundup:

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

-Thus, students will be the builders of their own learning since they are responsible for the acquisition of knowledge.

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

- Clarification of some main concepts/ main questions to be made :

- To find out the number of phone calls made by any number of people using a timetable because there is always one person who doesn't call anybody ;

- Rule to find out the number of phone calls made by pupils: combine all the numbers starting from zero to the previous number of students.

- The most efficient work strategy is the table.

 

Worksheet