Students can map numerical sequences (square, triangular, cubes) to structural dot patterns.
Introducing Table 1 sequences and the concept of number sequences.
Can you recognise the pattern in ? These numbers are just the beginning!
The branch of mathematics that studies patterns in whole numbers is called number theory. Number sequences are among the most basic and fascinating types of patterns that mathematicians explore.
Visual representation of basic number sequences
Mapping numerical sequences to structural dot and block patterns helps explain why these patterns exist.
Worked example identifying hexagonal numbers.
What would you call the sequence 1, 7, 19, 37, ... ? Using visual dot patterns, find the next number in this sequence.
Visual diagrams of hexagonal numbers and Powers of 2.
Hexagonal rings vs geometric dimensional growth (Powers of 2).
MCQ based on a number that fits two sequence patterns.
Which of the following numbers can be arranged perfectly both as a triangle and as a square using dots?
36 is the only number below 1000 which can be both a square number as well as a triangle number