NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Finding Rules

Lesson

We have seen how to continue shape patterns and continue number patterns by following rules. Now we are ready to work out the rule using patterns with numbers, shapes, and models. This video shows you how to find out the pattern that is being used.

Remember

We can see patterns in numbers or shapes. Once we have spotted the pattern we can continue it further.

Look at the shapes below:

How many shapes are there in total?

What shape comes $1$1st?

Triangle

ACircle

BRectangle

CSquare

DTriangle

ACircle

BRectangle

CSquare

DWhat is the $4$4th shape?

Square

ARectangle

BTriangle

CCircle

DSquare

ARectangle

BTriangle

CCircle

DIs there a repeated pattern?

No

AYes

BNo

AYes

BWhat shape would come next in the pattern (the $7$7th shape)?

Triangle

ARectangle

BSquare

CCircle

DTriangle

ARectangle

BSquare

CCircle

DWhat would the $10$10th shape be?

Circle

ATriangle

BSquare

CRectangle

DCircle

ATriangle

BSquare

CRectangle

D

Look at these numbers:

$8,9,10,11,12$8,9,10,11,12

Choose the answer which best describes the pattern:

Adding $2$2 each time.

AAdding $1$1 each time.

BThere is no pattern.

CAdding $3$3 each time.

DAdding $2$2 each time.

AAdding $1$1 each time.

BThere is no pattern.

CAdding $3$3 each time.

DWhat number comes next in the pattern?

These shapes made from blocks follow a pattern:

How many blocks are used to make the first shape in the pattern?

Which shape comes next in the pattern (the $4$4th shape)?

ABCDABCDHow many blocks would be needed to make the $5$5th shape in the pattern?