math 7
Units 1.1  1.2: rules of divisibility  0, 2, 3, 4, 5, 6, 8, 10
what do we need to know?
What does it mean "to divide"?
relationship and parts: division y multiplication
what is a factor?
class notes


here is the "family tree" table we completed in class
7_unit_1.1_1.2_divisibility_family_tree.pdf  
File Size:  3014 kb 
File Type: 
And here is the (UPDATED) solution to the worksheet given in class
7_unit_1.1_1.2_dr_all_solutions.pdf  
File Size:  1957 kb 
File Type: 
more information
what do we mean by "Patterns in Division"?
Let's look back at this graphics:
This shows a relationship between multiplication and division, one where the numbers 3, 6 and 18 are related.. They form a 'FACT FAMILY". Let's look at the FACT FAMILY of 6, 8 and 48:
8 x 6 = 48. 48 / 6 = 8
6 x 8 = 48. 48 / 8 = 6
Notice that this fact family is made up of 2 division and 2 multiplication patterns. In order words, FACT FAMILIES are made always made up of 2 division and 2 multiplication patterns. When dividing, you can use the patterns to solve sample questions, and to learn how to multiply and divide by 10, 100, 1000, etc.!.
8 x 6 = 48. 48 / 6 = 8
6 x 8 = 48. 48 / 8 = 6
Notice that this fact family is made up of 2 division and 2 multiplication patterns. In order words, FACT FAMILIES are made always made up of 2 division and 2 multiplication patterns. When dividing, you can use the patterns to solve sample questions, and to learn how to multiply and divide by 10, 100, 1000, etc.!.
Let's try it:
Due to the relationship I mentioned between the two, we can reverse what we did above to multiply. Let's try it:
how can we use factors to come up with divisibility rules?
There are some quick tests you can use to see if a larger number is divisible by another number. The ones we will use are called DIVISIBILITY RULES.
Important extra information !!!!!!!!
 All multiples of 100 (200, 300, 400, etc.) are divisible by 4
 All multiples of 1000 (1000, 2000, 3000, etc.) are divisible by 8
 A number is divisible by 8 if it is divisible by 2 AND 4
 All numbers are divisible by 1
 Numbers CANNOT divided by 0: This is because we cannot take a given number and share it into zero equal groups. Also, we cannot make sets of zero from a given number of items.
 FACTORS occur in pairs. When we find one factor of a number, we also find a second factor.
 All multiples of 1000 (1000, 2000, 3000, etc.) are divisible by 8
 A number is divisible by 8 if it is divisible by 2 AND 4
 All numbers are divisible by 1
 Numbers CANNOT divided by 0: This is because we cannot take a given number and share it into zero equal groups. Also, we cannot make sets of zero from a given number of items.
 FACTORS occur in pairs. When we find one factor of a number, we also find a second factor.
videos that can help YOU
factoring 
patterns in division (Base of 10) 
divisibility test 
division rules 
online interactive activities
divisibility rules
factors and factorization
For the KHAN ACADEMY link above, look for PRACTICE  FACTORS AND DIVISIBILITY
patterns in division  base of 10
practice worksheets
patterns in multiplication and division  base of 10


finding the factors of a number


divisibility rules




workbook practice



