Patterns and Relations · JHS1 Mathematics

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.

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: Shape number; Number of matchsticks; Rule for the pattern; 1; 3; 2; 4; 5; 6; 7; 8; 9; 11; Number of matchsticks = Shape number x; 10; 50; _+.

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

Wide colour mathematical teaching visual is organised as a labelled teaching diagram with vertical divisions,... — A wide colour mathematical teaching visual is organised as a labelled teaching diagram with vertical divisions, coloured regions, open white space around the main marks. Visible labels, values, and notation include: x O; 12 34; ......; 4; 16; i. Find the rule; 9; 12 15; 1 5; 23; →c; ii. Find the rule and; determine the value of n.

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.