Idea 10of 21Builds onSay the rule
From tiles to a table
How do you turn a picture pattern into numbers?
Today you'll discover
- how to count each figure
- how the counts make a table
- how a rule finds a far figure
Think firstL-shaped figures, growing
How many tiles will figure 4 need?
Decide first, then press Next. Look for the tiles that are new in each figure.
Figures made of square tiles in an L shape: figure 1 has 3 tiles, figure 2 has 5, figure 3 has 7, and figure 4 is a blank. The counts appear under each figure, figure 4 is drawn with 9 tiles, and a two-row table pairs figure numbers 1 to 4 with 3, 5, 7, 9. Last, figure 10 is set apart with 21 tiles and the rule 2 times figure number plus 1.
See the whole ideathe big idea and the key word, in one place
The big idea
Count the tiles in each figure, and the pictures become a table you can extend.
See the patternEach new figure adds one tile to the top and one to the end, so the table goes up by 2.
Easy to get wrongThe figure number and the tile count are different numbers: figure 3 has 7 tiles.
Key word
- figure number
- a picture's place in a pattern: figure 1, figure 2, figure 3 …
Ready to use it?
- Turn a picture pattern into a table of values.
- Predict the tiles in a later figure.