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
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here is the "family tree" table we completed in class
7_unit_1.1_1.2_divisibility_family_tree.pdf | |
File Size: | 3014 kb |
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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 |
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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
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finding the factors of a number
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divisibility rules
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workbook practice
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