Growing Patterns & Function Tables In growing patterns changes take place from level to level.
You can find a rule for this change and apply it to the following levels of a growing pattern to determine what would come next in the pattern.
A function table shows you the relationship between pairs of numbers.
The relationship is defined by a rule, and
this rule applies to all the pairs of numbers
on the table.

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Look at the pattern below.
Level 1
Level 2
Level 3
Level 4
Record the number of beehives in the table below: 9 11 13 What is the rule? Add 2

Growing Patterns & Function Tables :

Growing Patterns & Function Tables The completed growing pattern would look
like this.
Level 1
Level 2
Level 3
Level 4
Level 5
Level 6
Level 7

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Look at the pattern below and determine the rule: What is the rule of the growing pattern? Add 1 row and 1 column with the same number of
circles in each row and column.
The level number times itself: 1 x 1, 2 x 2, 3x 3. How many circles would be in the 5th level? 25

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Look at the pattern below and complete the table: 1 4 9 16 25

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Look at the pattern below and determine the rule: What is the rule of the growing pattern? Each level the row is moved down by 1 and the
column is moved over by 1.
The rule is add 4 to each level.

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Complete the table below to show the pattern: 10 14 18 22 26 Creating tables is a quicker way of finding the next level of a pattern than drawing!

Growing Patterns & Function Tables :

Growing Patterns & Function Tables A function table is like a machine. The input goes in, the rule is applied to the input, and you get the output. Apply Rule For example:
If I input 12, and the rule is subtract 2, the output would be 10. (12 – 2 = 10) 12 Subtract 2 10

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Look for a pattern with the input and output pairs.
Notice how every output value is greater than the input value.
This means that the rule is either addition or multiplication. The rule is _______________ Add 4

Growing Patterns & Function Tables :

Growing Patterns & Function Tables The rule is ___________ Multiply by 2 The rule is ___________ Subtract by 2

Growing Patterns & Function Tables :

Growing Patterns & Function Tables The rule is ___________ Add 10 The rule is ___________ Divide by 4

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Given the rule, complete the function tables. 8 10 12 14 16 5 10 15 20 25

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Given the rule, complete the function tables. 12 24 36 48 60 5 6 7 8 9

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Find the rule and complete the table. 1 3 5 7 9 17 19 21 23 25 Subtract 1 Add 7

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Find the rule and complete the table. 1 2 3 4 5 20 25 30 45 50 Divide by 3 Multiply by 5

Growing Patterns & Function Tables :

Growing Patterns & Function Tables Create your own function tables for each equation. a + 8 = b
a – 4 = b
a x 3 = b
a ÷ 2 = b
Make the tables for
the class to answer on
one sheet of paper and
write your answers on
a separate sheet of
paper.

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