Patterns and Relationships · B5 Mathematics

Lesson notes

Learning Objectives

Indicator: B5.2.1.1.7 - Write a rule in words and in algebra to represent a given pattern

By the end of the lesson, learners can:

State the constant difference in a given increasing linear pattern by comparing consecutive outputs.
Write the rule for a pattern in words, using the phrase “n times” or “n minus” where n is the term/input number.
Convert a rule stated in words into an algebraic expression using letters and numbers (e.g., “7 times n” becomes 7n).
Use the algebraic rule to calculate the output for any given term number, including terms beyond those shown.
Justify their rule by checking that it works for at least three different inputs in the pattern.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Patterns and Relationships (2.1)
Content standard: B5.2.1.1 - Determine the pattern rule to make predictions about subsequent elements.
Indicator: B5.2.1.1.7 - Write a rule in words and in algebra to represent a given pattern
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 4-6), 2019, p. 88
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. E.g. 1. Ask learners to state the rules in words and in algebra to represent a given increasing linear patterns. Rule for n in Rule for n Term/Input 1 2 3 4 5 6 words in Algebra Result/Output A 7 14 21 7 times n 7n 4 times one Result/Output B 0 4 8 12 4(n-1) less n 1 more than 3 Result/Output C 4 7 10 1 + 3n times n Result/Output D 5 9 13 Result/Output E 5 11 17 Result/Output F 0 6 12 18