Terrific Tuesday!
Another week, another too late to call it Mathematical Monday Assignment:
Last week, we learned how multiplication and division are related, as well as exploring division fact families (please click this link for the answer key!). Fact families are all great and good when you have small amounts to work with, but what happens if you are faced with a larger number (or even decimal numbers)?
This week, we are going to learn strategies we can use when dividing large numbers (much like we did for multiplication!). Instead of having everyone learn every strategy, we thought we would provide you with videos on how to do each strategy, and you can choose the one you want to learn (note: you don’t have to watch every video! Just the one strategy you think you would like to use! You can always go back and watch the others should you not like the first strategy you picked!) Once you have chosen a strategy, we want you to practice using it with a few division questions!
Click the name of the strategy to watch the videos :)
Base 10 Blocks:
This strategy is great for those of you who like to visually “see” and work with the numbers you are dividing. If you are struggling to understand division, this is a good strategy for you!
Partial Products (or Big Seven) Strategy:
This strategy helps those of us who find the traditional method difficult, and allows us to use the multiplication facts we know to “chip away” at a large division problem (instead of needing to know the “highest common multiple” like in the traditional method).
Traditional Method (Long Division):
The traditional method of long division is the method that most adults recognize. You will use a step-by-step procedure. It is best done on graph paper. This helps you keep your work tidy and the place values lined up. It is also handy to have a multiplication chart next to your work so you can double check your facts.
*There are two videos for this strategy-- one is a great step-by-step lesson by Math Antics, the other a fun math song by Numberock!
Short Division:
Is the traditional method too… long for you? This strategy is great for those of you who really understand your division facts well and are looking for a faster (but slightly more challenging) way to solve division problems.
Please choose four of the following questions to practice your new division strategy with! We have provided multiple questions for each level of difficulty, so you can choose the four best suited to you! (You can do all of the same level, mix and match from different levels-- whatever you want!).
Easy (no remainders):
68 ÷ 2 = ?
693 ÷ 3 = ?
510 ÷ 5 = ?
264 ÷ 8 = ?
Medium (simple remainders):
19 ÷ 9 = ?
793 ÷ 5 = ?
432 ÷ 7 = ?
204 ÷ 8 = ?
Challenging (larger dividends):
3 120 ÷ 4 = ?
3 453 ÷ 6 = ?
75 314 ÷ 5 = ?
252 ÷ 12 = ?
Last week, we learned how multiplication and division are related, as well as exploring division fact families (please click this link for the answer key!). Fact families are all great and good when you have small amounts to work with, but what happens if you are faced with a larger number (or even decimal numbers)?
This week, we are going to learn strategies we can use when dividing large numbers (much like we did for multiplication!). Instead of having everyone learn every strategy, we thought we would provide you with videos on how to do each strategy, and you can choose the one you want to learn (note: you don’t have to watch every video! Just the one strategy you think you would like to use! You can always go back and watch the others should you not like the first strategy you picked!) Once you have chosen a strategy, we want you to practice using it with a few division questions!
Click the name of the strategy to watch the videos :)
Base 10 Blocks:
This strategy is great for those of you who like to visually “see” and work with the numbers you are dividing. If you are struggling to understand division, this is a good strategy for you!
Partial Products (or Big Seven) Strategy:
This strategy helps those of us who find the traditional method difficult, and allows us to use the multiplication facts we know to “chip away” at a large division problem (instead of needing to know the “highest common multiple” like in the traditional method).
Traditional Method (Long Division):
The traditional method of long division is the method that most adults recognize. You will use a step-by-step procedure. It is best done on graph paper. This helps you keep your work tidy and the place values lined up. It is also handy to have a multiplication chart next to your work so you can double check your facts.
*There are two videos for this strategy-- one is a great step-by-step lesson by Math Antics, the other a fun math song by Numberock!
Short Division:
Is the traditional method too… long for you? This strategy is great for those of you who really understand your division facts well and are looking for a faster (but slightly more challenging) way to solve division problems.
Please choose four of the following questions to practice your new division strategy with! We have provided multiple questions for each level of difficulty, so you can choose the four best suited to you! (You can do all of the same level, mix and match from different levels-- whatever you want!).
Easy (no remainders):
68 ÷ 2 = ?
693 ÷ 3 = ?
510 ÷ 5 = ?
264 ÷ 8 = ?
Medium (simple remainders):
19 ÷ 9 = ?
793 ÷ 5 = ?
432 ÷ 7 = ?
204 ÷ 8 = ?
Challenging (larger dividends):
3 120 ÷ 4 = ?
3 453 ÷ 6 = ?
75 314 ÷ 5 = ?
252 ÷ 12 = ?