Statistics-+Data


 * DATA **
 * ** 21 STATISTICS- Data ** ||
 * ** YEAR LEVEL ** ||  ** ELEMENT CODE **  ||  ** MATHEMATICS STRANDS **  ||  ** MATH SUB-STRANDS **  ||  ** ELEMENT **  ||  ** ELABORATION **  ||
 * 0F || (ACMSP011) || Statistics and Probability || Data representation / interpretation (F-10) || Answer yes/no questions to collect information (ACMSP011) || posing questions about themselves and familiar objects and events

representing responses to questions using simple displays, including grouping students according to their answers

using data displays to answer simple questions such as ‘how many students answered “yes” to having brown hair?’ ||
 * 1 || (ACMSP262) || Statistics and Probability || Data representation / interpretation (F-10) || Choose simple questions and gather responses (ACMSP262) || determining which questions will gather appropriate responses for a simple investigation ||
 * 1 || (ACMSP263) || Statistics and Probability || Data representation / interpretation (F-10) || Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays (ACMSP263) || understanding one-to-one correspondence

describing displays by identifying categories with the greatest or least number of objects ||
 * 2 || (ACMSP048) || Statistics and Probability || Data representation / interpretation (F-10) || Identify a question of interest based on one categorical variable. Gather data relevant to the question (ACMSP048) || determining the variety of birdlife in the playground and using a prepared table to record observations ||
 * 2 || (ACMSP049) || Statistics and Probability || Data representation / interpretation (F-10) || Collect, check and classify data (ACMSP049) || Collect, check and classify data (ACMSP049)

Elaborationsrecognising the usefulness of tally marks

identifying categories of data and using them to sort data ||
 * 2 || (ACMSP050) || Statistics and Probability || Data representation / interpretation (F-10) || Create displays of data using lists, table and picture graphs and interpret them (ACMSP050) || creating picture graphs to represent data using one-to-one correspondence

comparing the usefulness of different data displays ||
 * 3 || (ACMSP070) || Statistics and Probability || Data representation / interpretation (F-10) || Interpret and compare data displays (ACMSP070) || comparing various student-generated data representations and describing their similarities and differences ||
 * 3 || (ACMSP068) || Statistics and Probability || Data representation / interpretation (F-10) || Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording (ACMSP068) || refining questions and planning investigations that involve collecting data, and carrying out the investigation (for example narrowing the focus of a question such as ‘which is the most popular breakfast cereal?’ to ‘which is the most popular breakfast cereal among Year 3 students in our class?’) ||
 * 3 || (ACMSP069) || Statistics and Probability || Data representation / interpretation (F-10) || Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies (ACMSP069) || exploring meaningful and increasingly efficient ways to record data, and representing and reporting the results of investigations ||
 * 4 || (ACMSP096) || Statistics and Probability || Data representation / interpretation (F-10) || Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values (ACMSP096) || exploring ways of presenting data and showing the results of investigations

investigating data displays using many-to-one correspondence ||
 * 4 || (ACMSP097) || Statistics and Probability || Data representation / interpretation (F-10) || Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097) || interpreting data representations in the media and other forums in which symbols represent more than one data value

suggesting questions that can be answered by a given data display and using the display to answer questions ||
 * 4 || (ACMSP095) || Statistics and Probability || Data representation / interpretation (F-10) || Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095) || comparing the effectiveness of different methods of collecting data

choosing the most effective way to collect data for a given investigation ||
 * 5 || (ACMSP118) || Statistics and Probability || Data representation / interpretation (F-10) || Pose questions and collect categorical or numerical data by observation or survey (ACMSP118) || posing questions about insect diversity in the playground, collecting data by taping a one-metre-square piece of paper to the playground and observing the type and number of insects on it over time ||
 * 5 || (ACMSP119) || Statistics and Probability || Data representation / interpretation (F-10) || Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies (ACMSP119) || identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations ||
 * 5 || (ACMSP120) || Statistics and Probability || Data representation / interpretation (F-10) || Describe and interpret different data sets in context (ACMSP120) || using and comparing data representations for different data sets to help decision making, such as choosing the best mobile phone plan ||
 * 6 || (ACMSP148) || Statistics and Probability || Data representation / interpretation (F-10) || Interpret secondary data presented in digital media and elsewhere (ACMSP148) || developing an understanding of sampling and the ability to interpret secondary data in order to critique data-based claims made in the media, advertising and elsewhere

investigating data representations in the media and discussing what they illustrate and the messages the people who created them might want to convey

understanding the various influences on data collection and display, including who created the representation, who funded the data collection and whether the representation is part of an advertisement; in order to be alert to possible biases in data representations

identifying potentially misleading data representations in the media, such as graphs with ‘broken’ axes or non-linear scales, graphics not drawn to scale, data not related to the population about which the claims are made, and pie charts in which the whole pie does not represent the entire population about which the claims are made

considering the need for sampling and recognising when a census of an entire population is not possible or not necessary, and identifying examples of sampling in the media ||
 * 6 || (ACMSP147) || Statistics and Probability || Data representation / interpretation (F-10) || Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147) || understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

exploring ways of presenting data and showing the results of investigations, including creating dot plots with many-to-one correspondence between data and symbols

comparing different student-generated diagrams, tables and graphs, and describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data ||