Beadwork and Number Patterns 2

This is Pattern 1.

Colour in the whole pattern to see how it grows

Pattern Number	Number of Black beads	Number of Orange Beads	Total Number of Beads
1	5	2	7
2
3
4

Can you guess the number of beads for the fifth pattern?

Can you find a rule for each?

Rhombus Fish Pattern

Colour and complete the pattern. I’ve changed the colour of the inside to red!

Fill in the numbers in the table below

Pattern Number N	Total Number of Beads B
1	4
2	16
3
4
5

Triangle Pattern

Look at the shapes in this necklace. There are many triangles. Can you see how many beads are used to make each triangle?

Can you find triangles of different sizes in these patterns? How many beads are used

What is the smallest triangle you can make. Try colouring some here and then make a table of all the numbers you find

Pattern Number	Total Number of Beads
1	3
2
3
4
5

Now you can you fill in the table.

What do you think the next number will be for the 6^th pattern?

Now try and find a rule. It may help if you go back to the numbers in the first pattern in this activity?