Región de Murcia Consejería de Educación, Formación y Empleo D.G. de Planificación y Ordenación Educativa DIDACTIC UNIT UNIT 7: STATISTICS TEACHER: Pedro Pablo Avilés García I.E.S. La Flota - Murcia 1. Introduction. Mathematics is a very special subject, for 2nd ESO students, because is giving a scientific background to our students and enabling them to act as autonomous citizens, critical and responsible. This requires making available to them the essential scientific-mathematical culture and finding commonalities in the knowledge that we should all share. This course should help providing an adequate response to this challenge, being essential that the approach to it is functional and tries to answer questions on issues of scientific and mathematical nature with great social impact. The didactic unit that I will develop is Statistics, one of the most important parts of the mathematics. This unit will be taught the last one in 2nd ESO and is contained by 12 sessions. The prior knowledge is from the previous course where they saw the most part of this unit in another didactic unit, called Statistics too. At first I present a small English vocabulary. 1 Región de Murcia Consejería de Educación, Formación y Empleo D.G. de Planificación y Ordenación Educativa 2. Didactic aims. · To identify different statistical concepts. · To acquire awareness of the importance of statistics in our society. · To present the statistical data in frequency tables. · To show the statistical data in statistical graphs. · To summarize the statistical data as central measures or averages. 3. Contents. 1. Statistical terms of a statistical enquiry: Population. Individual, Sample and Variables. Different kinds of variables. 2. Frequency tables: absolute frequencies, relative frequencies and percentages. Frequency tables for qualitative, discrete and continuous variables. 3. Statistical graphs: bar chart, pie chart and histogram. 4. Central measures or averages: arithmetic mean, median and mode. 4. Sessions and learning activities. This unit will contain 12 sessions: · Session 1: previous vocabulary and evaluation of prior learning. · Sessions 2-3: Content 1. Activities. · Sessions 4-7: Content 2. Activities. · Sessions 8-9: Content 3. Activities. · Sessions 10-11: Content 4. Activities. · Session 12: Final evaluation. 2 Región de Murcia Consejería de Educación, Formación y Empleo D.G. de Planificación y Ordenación Educativa Examples of these activities are: 1. You want to make a statistical enquiry about the number of computers that have in their homes the families of a city. You interview 500 families randomly. Say what is the population, an individual, the sample and the statistical variable (classify it). 2. If you throw a dice (dado) with 6 faces 25 times and write the following results: 1, 3, 1, 4, 2, 2, 5, 3, 6, 2, 4, 5, 4, 6, 2, 3, 5, 3, 6, 3, 4, 1, 6, 3, 4. a) Classify the statistical variable and make the frequency table. b) Depict the data with a bar chart and a pie chart. 3. The different weights of 40 students are shown in the following table. Weight (kg.) 35´5 – 42´5 42´5 – 49´5 49´5 – 56´5 56´5 – 63´5 63´5 – 70´5 70´5 – 77´5 fi 2 8 13 10 4 3 a) Classify the variable. b) Complete the table. c) Depict the data with a histogram. d) Give the averages (arithmetic mean, median and mode). 5. Didactic resources and materials. · Types of classrooms: Normal classroom and ICT classroom with computers and overhead projector. · There is no recommended textbook. · Websites: http://www.mathwords.com/ http://www.purplemath.com/modules/index.htm http://www.thatquiz.org/tq/index.html http://www.mathsisfun.com http://www.bbc.co.uk/schools/websites/11_16/ 3 Región de Murcia Consejería de Educación, Formación y Empleo D.G. de Planificación y Ordenación Educativa 6. Evaluation. Instruments and evaluation criteria (in percentage) are: · Work at home and in class: Do the different activities (10%). · Notebook: Its periodic review (10%). · Written test or final evaluation (80%). 4