SHS1 Mathematics · Semester 2 Week 12: Statistical Reasoning and Its Application in Real Life

Lesson notes

Learning Objectives

Indicator: 1.4.1.LI.2 - Identify and validate quantitative data collection methods (Survey/Questionnaire, Interviews, Observation, Existing Data, and Probability) and use them to collect everyday-life data.

By the end of the lesson, learners can:

Identify the five quantitative data collection methods (survey/questionnaire, interviews, observation, existing data, and probability) and state when each is most appropriate.
Justify the choice of a particular quantitative data collection method for a given everyday-life data scenario, giving at least two reasons for the choice.
Validate a sample questionnaire or interview guide by checking its features (clarity, relevance, length, bias) and suggest at least one improvement.
Collect real quantitative data within the school community using one selected method, recording the data accurately.
Present collected data in a simple frequency table (grouped or ungrouped) ready for analysis in later lessons.

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Curriculum details

Strand: Making Sense of and Using Data (Strand 4)
Sub-strand: Statistical Reasoning and Its Application in Real Life (4.1)
Content standard: 1.4.1.CS.1 - Demonstrate a conceptual understanding of the appropriateness of data collection methods to collect everyday life data. 1.4.1.LO.1 Decide whether or not a selected data collection method is appropriate given a particular data, justify responses, and collect both qualitative and quantitative data with the appropriate methods.
Indicator: 1.4.1.LI.2 - Identify and validate quantitative data collection methods (Survey/Questionnaire, Interviews, Observation, Existing Data, and Probability) and use them to collect everyday-life data.
Suggested placement: Semester 2, Week 12 (Week 32 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. 134

Exemplars (from the NaCCA curriculum)

Project-based learning, Group discussions, think-pair share activities.
Using project-based learning activities, students sample out numerous data they can collect and justify a particular data collection method(s) that is appropriate for collecting that quantitative data.
Example: i. Experiential Learning: Using convenient groups, students research and select an existing questionnaire, interview guide, observation guide, etc., then discuss its features, validate it usefulness and collect quantitative data with it in the classroom or within the school community.
ii. Experiential Learning: Using convenient groups/pairs, design a mini project where they choose a data collection method of choice and collect real quantitative data with it.
Teaching and Learning Resources:
- Sample questionnaire
- interview guides
- observation guide
- Computer-assisted telephone interview guide
- mail survey
Assessment (1.4.1.AS.2). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning; Level 4 Extended critical thinking and reasoning.