Multiplication and Division Patterns

7.U6A.L2-Patterns and Tables

Types of Patterns

• 2 types of patterns

• arithmetic - when the pattern involves adding/subtracting

• geometric- when the pattern involves multiplication/division

• What type of pattern does the table here have?

Multiple Choice

look at the table and pick the correct rule for finding the next entry

• x 2

• +7.25

• x7.25

Multiple Choice

Use the rule for the table to find the entry for the 10th row

• 72.5

• 17.25

• 20

• 36.25

Function Rules

• We can use the patterns we get from a table to create an equation (rule) for a function

• Function- for each x value there is only 1 y-value

Example of a function table

Creating a Function Rule(equation)

• x = entries into table

• y = output of table

• find the pattern to go from one y to another

• this number is the co-efficient of x in our equation

• set equal to y

Multiple Choice

Which choice has the correct answers?

• a) 11, b) -4, c) 3

• a) 4, b) 13, c) 8

• a) -3, b)-4, c) -8

• a) 3, b) 12, c) 0

Multiple Choice

What is the rule?

• Multiply by 2
• Multiply by 3
• Add 3
• Add 4

Multiple Choice

What number goes in the empty box?

• 10
• 5
• 12
• 15