B4 Mathematics · Term 1, Week 7
Counting, Representation & Cardinality
Lesson notes
Learning Objectives
Indicator: B4.1.1.3.5 - Generate and analyse patterns in square numbers
By the end of the lesson, learners can:
- Generate the first 10 square numbers by building square arrays with bottle tops and recording the sequence 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
- Describe the pattern that each square number is the previous square number plus the next odd number.
- State and verify the rule that the nth square number is n × n, using examples up to 10 × 10 = 100.
- Express square numbers as the sum of consecutive odd numbers, e.g. 1 = 1, 4 = 1 + 3, 9 = 1 + 3 + 5, and use this to check they have found square numbers correctly.
- Identify which numbers in a given list are square numbers and justify their answers with a drawing or a multiplication fact.
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Sign in with phone numberCurriculum details
- Strand
- Number (Strand 1)
- Sub-strand
- Counting, Representation & Cardinality (1.1)
- Content standard
- B4.1.1.3 - Demonstrate an understanding of factors, multiples and squared numbers
- Indicator
- B4.1.1.3.5 - Generate and analyse patterns in square numbers
- Suggested placement
-
Term 1, Week 7
(Week 7 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. 11
Transcribed from the official NaCCA publication. Check this page against the source.
Exemplars (from the NaCCA curriculum)
E.g. 1 Put learners into convenient groups and provide each group adequate number of bottle tops, an A4 sheet and a 30cm ruler and ask them to generate square numbers by continuing the arrangement shown below up to the 10 th number; [i.e. 1, 4, 9, 16, 25, 36 … ) 1 4 9 16 ………………………
E.g. 2 Investigate the relationship between square numbers and the sum of consecutive odd numbers.
