Patterns and Relationship · B3 Mathematics

Lesson notes

Learning Objectives

Indicator: B3.2.1.1.1 - Demonstrate an understanding of increasing and decreasing patterns by extending the next two or three terms and identifying errors or missing elements

By the end of the lesson, learners can:

Identify the pattern rule (e.g., “add 3” or “subtract 5”) in a given increasing or decreasing pattern.
Extend an increasing or decreasing pattern by finding the next two or three terms using the identified rule.
Create a new increasing or decreasing pattern when given a specific rule (e.g., “add 10” or “subtract 4”).
Spot errors in a pattern and correct them, explaining how they found the mistake.
Locate missing numbers in a pattern and show how they used the rule to find them.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Patterns and Relationship (2.1)
Content standard: B3.2.1.1 - Recognise, create, extend, describe, and use patterns and rules to solve mathematical tasks
Indicator: B3.2.1.1.1 - Demonstrate an understanding of increasing and decreasing patterns by extending the next two or three terms and identifying errors or missing elements
Suggested placement: Term 2, Week 10 (Week 22 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 1-3), 2019, p. 63
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Identify the pattern rule used to create more complex increasing or decreasing pattern and extend the pattern for the next 2 or 3 terms
e.g.
- 3, 6, 9, 12, 15... - the rule is "add 3 or take 3 steps forward or
- 30, 27, 24, 21, 18 ... - the rule is take 3 steps backwards or subtract 3)
E.g. 2 Create a pattern for a given pattern rule (e.g., create a pattern for the rule "add 10")
E.g. 3 Identify errors or missing elements in an increasing or decreasing pattern and justify the answer e.g.
- 5, 10, 20, 25, 30 ... or
- 45, 40, 35, 30, __, 20 ...
E.g. 4 Locate and describe increasing or decreasing patterns in a 100s chart (horizontal, vertical, diagonal patterns, etc.)