Data Collection, Organization… · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.4.1.1.2 - Determine whether a given set of data can be represented by a line graph (continuous data) or a series of points (discrete data) and explain why

By the end of the lesson, learners can:

Define discrete data and continuous data in their own words with at least one example of each.
Sort given tables of values into discrete data and continuous data, giving a reason for each choice.
Explain why continuous data can be represented by a line graph while discrete data can only be represented by a series of points.
Justify their decisions when classifying data, using the key idea of whether the data can take any value or only separate, particular values.
Write a short explanation for a peer stating whether a given data set is discrete or continuous and why.

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Curriculum details

Strand: Data (Strand 4)
Sub-strand: Data Collection, Organization, Presentation, Interpretation and Analysis (4.1)
Content standard: B6.4.1.1 - Create, label, and interpret line graphs to draw conclusions.
Indicator: B6.4.1.1.2 - Determine whether a given set of data can be represented by a line graph (continuous data) or a series of points (discrete data) and explain why
Suggested placement: Term 3, Week 7 (Week 31 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: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 152
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Through discussion, guide learners to understand the difference between discrete and continuous data. Ask them to sort the following tables of values into the two categories
- those with discrete data and those with continuous data [Discrete data take particular values, while continuous data are not restricted to separate values. Discrete data can take on only integer values whereas continuous data can take on any value. For instance the number of malaria patients treated by a hospital each year is discrete but your weight recorded of over a year is continuous] (i) The number of match sticks Sena used in making a pattern of squares Number of Squares (n) 1 2 3 4 5 6 7 8 Matchsticks (s) 4 7 10 13 16 19 22 25 (ii) Progress of plant's growth recorded by Kofi over a week Days (d) 1 2 3 4 5 6 7 8 Height (h) (cm) 5 6.5 8 9.5 11 12.5 14 15.5 (iii) Number of people in the immediate family of P6 students in a school Number of people in family 1 2 3 4 5 6 7 8 9 Number of students 0 4 9 11 6 5 3 3 1 (iv) Abu travelled on a bicycle to buy food, the table shows how far (in kilometres) he was away from the house. Time (minutes) 0 5 10 15 20 25 30 Distance (km) 0 3 3.5 4 4 2 0
E.g. 2. Ask learners to write questions for their friends to read and interpret the tables