Idea 11of 21Builds onFrom tiles to a table
Growing by adding a core
How can a repeating core build a growing pattern?
Today you'll discover
- what each figure adds
- why the table counts by the core
- the rule for any figure
Think firstEach figure adds one more core of 3 tiles
How many tiles will figure 4 need?
Decide first, then press Next. Find the core, then count the cores.
Figures made of columns of 3 tiles: figure 1 has one column, figure 2 two, figure 3 three, and figure 4 is a blank. Counts of 3, 6 and 9 appear under them, then a table pairs figures 1 to 4 with 3, 6, 9, 12, and figure 10 is set apart with 30 tiles and the rule 3 times figure number.
See the whole ideathe big idea and the key word, in one place
The big idea
Adding the same core again and again turns a repeating pattern into a growing one.
Where it goes nextThe rule is the core's size times the figure number: 4 cores of 5 beads is 20 beads.
Easy to get wrongCount the whole core each time, not one piece of it.
Key word
- iteration
- one step of a pattern, one term: each iteration adds the core again
Ready to use it?
- Build a growing pattern by repeating a core.
- Find the total after many cores.