SHS1 Additional Mathematics · Semester 2 Week 15: Organising, Representing and Interpreting Data

Lesson notes

Learning Objectives

Indicator: 1.4.1.LI.6 - Compare various statistical representations and justify why a particular representation is more suitable than others for a given situation.

By the end of the lesson, learners can:

Compare at least four different statistical representations (bar chart, pie chart, histogram, line graph, stem-and-leaf plot, and frequency polygon) and state the key features of each.
Justify, with reasons, why a particular representation is more suitable for a given data set, using the nature of the data (categorical or numerical, discrete or continuous, grouped or ungrouped) and the purpose of the presentation.
Identify situations where one representation would mislead or hide information that another representation would reveal clearly.
Present a reasoned recommendation for the most appropriate graph for a real-life data set, defending the choice using appropriate statistical vocabulary.
Work collaboratively in mixed-ability groups to research, discuss, and present comparisons of statistical representations to the whole class.

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Curriculum details

Strand: Handling Data (Strand 4)
Sub-strand: Organising, Representing and Interpreting Data (4.1)
Content standard: 1.4.1.CS.1 - Investigate techniques for collecting data and determine measures of central tendency and dispersion. 1.4.1.LO.1 Collect quantitative and qualitative data, and organise and present data using graphs. 1.4.1.LO.2 Calculate the measures of central tendencies, and measures of dispersion and use simple language to interpret the results.
Indicator: 1.4.1.LI.6 - Compare various statistical representations and justify why a particular representation is more suitable than others for a given situation.
Suggested placement: Semester 2, Week 15 (Week 35 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: NaCCA curriculum document, p. 226

Exemplars (from the NaCCA curriculum)

Group discussions, Talk for Learning and research.
Learning Experience: Learners in mixed-ability groups conduct research on the various statistical representations discussed in the classroom and justify why a particular representation is more suitable for a particular data
Activity 1:
- Group leaders to lead discussions on the comparison of the various statistical representations.
- Groups present their findings to the whole class.
Teaching and Learning Resources:
- SHS curriculum
- Research journals
- Internet or e-books
- Real-life examples
- Software (Excel, SPSS)
Assessment (1.4.1.AS.6). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding; Level 4 Extended critical thinking and reasoning.