JHS1 Mathematics · Term 2 Week 4: Patterns and Relations

Lesson notes

Learning Objectives

Indicator: B7.2.1.1.3 - Identify the relation or rule in a pattern/mapping presented numerically or symbolically and predict subsequent elements

By the end of the lesson, learners can:

identify the rule in a symbolic pattern and use it to predict the next terms
determine the rule in a numerical pattern by finding the constant difference between consecutive terms
find the value of an unknown element when given the rule in the form x → ax + b
complete a table of values for a given mapping rule and predict missing entries
explain their rule in words using mathematical language such as “multiply by 2 and add 3”

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Patterns and Relations (2.1)
Content standard: B7.2.1.1 - Derive the rule for a set of points of a relation, draw a table of values to graph the relation in a number plane and make predictions about subsequent elements of the relation.
Indicator: B7.2.1.1.3 - Identify the relation or rule in a pattern/mapping presented numerically or symbolically and predict subsequent elements
Suggested placement: Term 2, Week 4 (Week 16 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, Common Core Programme (JHS1-JHS3), 2023, p. 30
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Determine the rule for a given symbolic pattern.

Figure from the jhs1 mathematics curriculum, printed page 30

E.g.2 Determine the rule for a given numerical pattern.

ii. Find the rule and
i. Find the rule determine the value of n
E.g.3Determine an element when given the rule
i. The result of x in the mapping x → 2x + 3 is 3. Find the value of x.
ii. The result of x in the mapping x → -2x + 5 is 45. Find the value of x.
iii. Copy the table and use the rule to find the missing values of n.