Pattern and Relationships · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.2.1.1.7 - Write a rule in words and in algebra to represent a given pattern

By the end of the lesson, learners can:

Identify the constant difference in a given linear pattern and state it correctly.
Write the rule for a pattern in words, using phrases like “multiply by” and “add” or “subtract.”
Translate the word rule into an algebraic expression using the variable n.
Use the algebraic rule to find the output for any given input or term number.
Justify their chosen rule by checking it against at least two terms in the pattern.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Pattern and Relationships (2.1)
Content standard: B6.2.1.1 - Determine the pattern rule to make predictions about subsequent elements.
Indicator: B6.2.1.1.7 - 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.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

exemplars - p.140
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 140
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Ask learners to state the rules in words and in algebra to represent a given linear patterns Rule for n in Rule for n in Term/Input 1 2 3 4 5 words Algebra Result/Output A 9 18 27 9 times n 9n 4 times 1 less Result/Output B 0 4 8 12 4(n-1) than n 1 more than 3 Result/Output C 4 7 10 1 +3n times n 20 minus 2 Result/Output D 20 18 16 times 1 less 20-2(n-1) than n Result/Output E 15 19 23 Result/Output F 12 17 22
100 85 70 The document numbers the pattern indicators .4, .7 and .8 only. The "Rule for n in words / Rule for n in Algebra" table is set inside the exemplar and its cells interleave with it in the text layer; this page carries no image object, so no figure could be extracted.