Patterns and Relationships · B5 Mathematics

Lesson notes

Learning Objectives

Indicator: B5.2.1.1.3 - Predict subsequent elements in a given pattern

By the end of the lesson, learners can:

Identify the repeating or growing rule in a given number pattern and state it clearly in words.
Predict the next two terms in a given number or geometric pattern using the identified rule.
Complete a matchstick table by counting the number of matchsticks used for successive geometric figures.
Create their own number or geometric pattern question for a friend to solve, with a correct answer key.
Justify their predictions by explaining how the rule leads to the next term.

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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: B5.2.1.1.3 - Predict subsequent elements in a given pattern
Suggested placement: Term 2, Week 8 (Week 20 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. 86
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Ask students to respond to find the next two terms in a pattern and state the rule for the pattern.

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions. Visible labels, values, and notation include: • What are the next two terms and what is the pattern?; 2; 4, 6, 8, 10, 12; +2; Two must be ADDED to the previous TERM; 3, 6, 9, 12, 15, 18; ....; +3; Three must be ADDED to the previous TERM.

E.g. 2 Ask learners to complete the table below for the number of match sticks used in this geometric pattern. Guide learners to describe the relationship.
E.g. 3 Ask learners to write questions based on number or geometric patterns for their friends to find answers to; e.g. how many match sticks will be used for the 9th geometric pattern? Number of triangles 1 2 3 4 5 n Number of match sticks 3 6

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: Pattern 1; Parrern 2; Pattern 3; E.g. 3 Ask learners to write questions based on number or geometric patterns for their friends to find answers; to; e.g. how many match sticks will be used for the 9th geometric pattern?; Number of triangles;.