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THE BASQUE COUNTRY'S POPULATION (COMPULSORY SECONDARY 1st) El documento está en formato pdf

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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210101
Description:
The aim of this first task is for the students to learn to read data contained
in tables and interpret their meaning correctly. They are therefore given a table that contains information on the population of the Basque Country and its distribution in men and women.

The students should be asked to read the questions carefully, otherwise it is a task that should not be very complicated as they can get the answers to most of the questions by directly reading the table.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Difficulty (1: low - 3: high):
1   Task type: Experience   Estimated time: 20 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210102
Description:
The aim of this task is for the student to learn the information contained in
a diagram, in this case a bar diagram. It is a simple task where the most interesting part is to interpret the diagram to read the data correctly. In general, students in this age bracket are familiar with this way of organising information and it is not usually hard for them to read and interpret this type of information.

The students should be told to read the information carefully and think before answering.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 20 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210103
Description:
The aim of this activity is for the students to read the information contained
in tables meaningfully. Two exercises are proposed. For the first exercise, the student just needs to read the information carefully and comprehensively in order to answer the questions. The second exercise requires calculations as the increases or decreases in question involve subtractions that, as we point out, can be performed using the calculator or a spreadsheet. In any event, the important part of this task is learning to look carefully at the data.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Difficulty (1: low - 3: high):
1   Task type: Experience   Estimated time: 30 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210104
Description:
The aim of this task is for the student to learn the information contained in
a diagram, in this case a line diagram. It is a simple task where the most interesting part is to manage to read the data correctly. In general, students in this age bracket are familiar with this way of organising information and it is not usually hard for them to read and interpret this type of information. + The students should be told to read the information carefully and think before answering.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 30 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210105
Description:
This task shows you how to convert absolute data into relative or percentage
data. You start from the data in a table and their representation in a sector diagram, which is usually used to show the relative value of the data. You are shown how to calculate the percentage value for an absolute value: percentage value = (absolute value/total values)*100.
The first part of the task requires an intuitive understanding of this concept. Because logically a greater part or portion of the bar diagram corresponds to a larger absolute value. You can either use the same formula or deduct the relative values of Álava and Bizkaia from 100 to calculate the value for Gipuzkoa. You can also do it in both ways and check that you get the same answer.
Competences:
Calculating, accurately and quickly, the percentage or relative value of an absolute value.
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 30 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210106
Description:
Statistical information is provided in two ways in this task: on the one hand,
by means of a table and on the other hand, by means of a histogram. The aim is for the students to read the information comprehensively and for them to be able to infer consequences once the information has been read. The histogram is a population pyramid but not placed in the usual way which makes it rather more difficult to read and interpret the data.
One of the questions involves performing a calculation to discover the percentage of an age group in relation to the whole population. It is a little more complicated task.
They are also asked to search for data in one that they consider relevant and discuss it, where the aim is to foster the initiative and autonomy of the students.
In the second part of this task, the students are asked to compare the data of a table with the sector diagrams that they represent. They may have to perform a calculation, but they should be asked to avoid it as far as possible.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Solving, in a reasoned and critical manners, problems that require the use and interpretation of absolute and relative statistical data and/or statistical parameters.
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 40 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210107
Description:
The information to read and interpret in this task is both in a text and in
the accompanying graph. The aim is to read the information carefully and interpret and reach some conclusion about the data contributed. The calculations required are quite elementary and comprehensive reading must be stressed over the other objectives.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 30 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210108
Description:
In this task, as in the previous cases, careful reading and interpretation
of the data are the basic skills to be achieved. Some simple calculations have to be performed in some cases to work out the percentages that some amounts represent in relation to the total. The way used to reach the solution should set out.
Competences:
Reading, carefully, and interpreting, critically, the statistical information contained in tables, graphs, diagrams or texts, and distinguishing between relative and absolute data (percentages, rates).
Solving, in a reasoned and critical manners, problems that require the use and interpretation of absolute and relative statistical data and/or statistical parameters.
Difficulty (1: low - 3: high):
2   Task type: Experience   Estimated time: 50 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210109
Description:
This task requires the students to write a short report that is a general interpretation
of the data contained in a graph. A procedure is provided that operating at index level can help them to organise the information that they should include. The reports require the text to be descriptive and not just limited to providing plain data, they must try to write the report based on the data that is observed.
Competences:
Working on one's own, preparing a short report as a general interpretation of the data in a graph.
Difficulty (1: low - 3: high):
2   Task type: Research   Estimated time: 30 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210110
Description:
This task is used to collect and summarise the mathematical information (concepts
and procedures) used in this Educational Unit.

The information begins by putting the Statistics concept into its historical context. We think that it is important that students are aware of the cultural and historical roots of knowledge, and in this case of mathematical knowledge.

The need to use tables to order the data is then explained and the table concept is defined: tables are ordered sets of data in rows and columns. They should underline this definition as they should memorise it.

A table is then set up as an example of the above definition.

The difference between absolutes and relatives is then explained. The following should also be underlined: Absolute values give values and nothing more; relative values indicate the percentage relationship between one part and the total. The students should also memorise these two definitions.

This first part ends with the students having to answer two questions where the first question is what a table is: the definition has been given and they just have to copy it. The second question is slightly more complicated and will show if they have related the relative values with fractions, as the clearest reason is that a relative figure is a fraction and the percentages are appropriate to represent this type of quantities.

The different types of diagrams are listed on the second page and a distinction should be made between the Cartesian and sector diagrams. They have to relate Cartesian diagrams with diagrams on coordinate axes and the sector diagram with the part circular representation of a whole. It is important that the students learn the names of the different types of Cartesian diagrams. It is also important that the definition of diagram is stressed in this part.

The task ends with a pair of questions. The first part asks for a diagram to be defined. It is in the upper part. The answer to the second is similar to that of the first. We use the sector diagram because it represents parts of a whole, which means that it represents a relative value.
Competences:
Interpreting, summarising and memorising statistical data.
Difficulty (1: low - 3: high):
2   Task type: Synthesis   Estimated time: 20 min.
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Document containing the worksheet Document containing the worksheet  | Complete worksheet Complete worksheet  ID: 210111
Description:
A series of exercises are provided in this task to check to which point the
information supplied in the educational unit has been understood.
Competences:
Identifying, analysing and solving problems.
Difficulty (1: low - 3: high):
2   Task type: Test   Estimated time: 40 min.