Difference between revisions of "Learn Multiplication Facts"
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| − | Learning multiplication facts is an essential part of childhood math. It takes time to learn them, but with a few tips and tricks, you can conquer them with practice. Once you have them memorized, you can work on getting faster with them so that the numbers just come to you. Some of the multiplication facts are simpler than others, but many of them have helpful hints that make them easier to learn.<ref>https://www.mathsisfun.com/multiplication-tips-tricks.html</ref> | + | Learning multiplication facts is an essential part of childhood math. It takes time to learn them, but with a few tips and tricks, you can conquer them with practice. Once you have them memorized, you can work on getting faster with them so that the numbers just come to you. Some of the multiplication facts are simpler than others, but many of them have helpful hints that make them easier to learn.<ref name="rf1">https://www.mathsisfun.com/multiplication-tips-tricks.html</ref> |
[[Category:Multiplication and Division]] | [[Category:Multiplication and Division]] | ||
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== Steps == | == Steps == | ||
=== Approaching Multiplication Facts === | === Approaching Multiplication Facts === | ||
| − | #Learn one table at a time. Select one multiplication table to learn at a time. Start with the simple tables such as 2s, 10s, 5s, and 11s. By the time you learn the more difficult tables such as the 7s and 8s, you will already know several facts.<ref>http://process.arts.ac.uk/content/how-learn-your-times-tables-top-tips-and-tricks</ref> | + | #Learn one table at a time. Select one multiplication table to learn at a time. Start with the simple tables such as 2s, 10s, 5s, and 11s. By the time you learn the more difficult tables such as the 7s and 8s, you will already know several facts.<ref name="rf2">http://process.arts.ac.uk/content/how-learn-your-times-tables-top-tips-and-tricks</ref> |
#* Remember, 1 x 4 is the same as 4 x 1 so you only have to learn half of the multiplication table because the other half is just written the other way. | #* Remember, 1 x 4 is the same as 4 x 1 so you only have to learn half of the multiplication table because the other half is just written the other way. | ||
| − | #Take your time.<ref | + | #Take your time.<ref name="rf2" /> You don’t need to sit down and learn all of the multiplication facts at one time. In fact, this would be the worst way to learn. Choose a table and focus solely on that one. Take as much time as you need to master each one before moving onto the next one. |
#* Spend about 15-20 minutes each day studying flashcards or playing math games to master each multiplication fact. | #* Spend about 15-20 minutes each day studying flashcards or playing math games to master each multiplication fact. | ||
| − | #* There are many multiplication math games with different themes that can be found online.<ref>http://www.multiplication.com/games/all-games</ref> For instance, if you really like dinosaurs, find one that uses dinosaurs to make learning more fun. | + | #* There are many multiplication math games with different themes that can be found online.<ref name="rf3">http://www.multiplication.com/games/all-games</ref> For instance, if you really like dinosaurs, find one that uses dinosaurs to make learning more fun. |
#Ask family to quiz you on your multiplication tables. Once you have studied them enough to know them well, ask your family to quiz you on the tables you have just learned. This will help you remember them long term and keep the numbers fresh in your head. | #Ask family to quiz you on your multiplication tables. Once you have studied them enough to know them well, ask your family to quiz you on the tables you have just learned. This will help you remember them long term and keep the numbers fresh in your head. | ||
#* When you have all the tables memorized, ask them to quiz you on all of the numbers, not just one number at a time. | #* When you have all the tables memorized, ask them to quiz you on all of the numbers, not just one number at a time. | ||
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#Recognize that any number multiplied by 1 is equal to itself. The one multiplication facts are easy to learn because when you multiply a number by 1, it is equal to that number. Remember, zero is the exception to this. | #Recognize that any number multiplied by 1 is equal to itself. The one multiplication facts are easy to learn because when you multiply a number by 1, it is equal to that number. Remember, zero is the exception to this. | ||
#* For example: 1 x 2 = 2, 1 x 4 = 4, 1 x 7 = 7, etc. | #* For example: 1 x 2 = 2, 1 x 4 = 4, 1 x 7 = 7, etc. | ||
| − | #Add the number to itself for the 2 table. When learning the multiplication facts for the number two, you may realize that the number being multiplied by 2 is simply added to itself. Instead of memorizing all of the numbers, just add the number to itself and you have learned the multiplication facts for the number two!<ref | + | #Add the number to itself for the 2 table. When learning the multiplication facts for the number two, you may realize that the number being multiplied by 2 is simply added to itself. Instead of memorizing all of the numbers, just add the number to itself and you have learned the multiplication facts for the number two!<ref name="rf1" /> |
#* For example 2 x 4 = 8, but 4 + 4 = 8. | #* For example 2 x 4 = 8, but 4 + 4 = 8. | ||
#* The same goes for every other number, 2 x 3 = 6 (3 +3 =6), 2 x 5 = 10 (5 + 5 = 10), etc. | #* The same goes for every other number, 2 x 3 = 6 (3 +3 =6), 2 x 5 = 10 (5 + 5 = 10), etc. | ||
| − | #Recognize the pattern for the 5 table. The last digit of the product ends in either a 5 or a 0. The pattern starts with 5 and alternates with 0: 5, 0, 5, 0. For example: 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, etc. There are two other tricks to help with the 5 facts as well: the product (1) is always half of 10 times that number and (2) is half the number times 10.<ref | + | #Recognize the pattern for the 5 table. The last digit of the product ends in either a 5 or a 0. The pattern starts with 5 and alternates with 0: 5, 0, 5, 0. For example: 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, etc. There are two other tricks to help with the 5 facts as well: the product (1) is always half of 10 times that number and (2) is half the number times 10.<ref name="rf1" /> |
#* For example: 5 x 4 = half of (10 x 4). 10 x 4 = 40, half of 40 is 20; 5 x 4 = 20. | #* For example: 5 x 4 = half of (10 x 4). 10 x 4 = 40, half of 40 is 20; 5 x 4 = 20. | ||
#* Another example: 5 x 4 = (half of 4) x 10, half of 4 is 2, 2 x 10 = 20; 5 x 4 = 20. | #* Another example: 5 x 4 = (half of 4) x 10, half of 4 is 2, 2 x 10 = 20; 5 x 4 = 20. | ||
| − | #Know that when you multiply an even number by 6, they end in the same digit. A helpful hint for the 6 multiplication facts is knowing the last digit of the product. This trick only works for even numbers. When you multiply 6 by an even number, the last digit of the product will be that number.<ref | + | #Know that when you multiply an even number by 6, they end in the same digit. A helpful hint for the 6 multiplication facts is knowing the last digit of the product. This trick only works for even numbers. When you multiply 6 by an even number, the last digit of the product will be that number.<ref name="rf1" /> |
#* For example: 6 x 2 = 12, 6 x 4 = 24, 6 x 6 = 36, 6 x 8 = 48, etc. | #* For example: 6 x 2 = 12, 6 x 4 = 24, 6 x 6 = 36, 6 x 8 = 48, etc. | ||
| − | #Multiply 10 x the number, then subtract the number for the 9 multiplication facts. A quick trick for learning the 9 table is to multiply the number by 10, then subtract that number from the product for the final answer.<ref | + | #Multiply 10 x the number, then subtract the number for the 9 multiplication facts. A quick trick for learning the 9 table is to multiply the number by 10, then subtract that number from the product for the final answer.<ref name="rf1" /> |
#* For example: 9 x 4. First multiply 4 x 10 = 40. Then subtract 4 from 40 to get 36. 9 x 4 = 36. | #* For example: 9 x 4. First multiply 4 x 10 = 40. Then subtract 4 from 40 to get 36. 9 x 4 = 36. | ||
#* Another example: 9 x 8. 10 x 8 = 80, 80 – 8 = 72. 9 x 8 = 72. | #* Another example: 9 x 8. 10 x 8 = 80, 80 – 8 = 72. 9 x 8 = 72. | ||
#* Note the two numbers in the product will add up to 9! For 9 x 4 = 36, 3 + 6 = 9. For 9 x 8 = 72, 7 + 2 = 9. This works for numbers 2 – 9. | #* Note the two numbers in the product will add up to 9! For 9 x 4 = 36, 3 + 6 = 9. For 9 x 8 = 72, 7 + 2 = 9. This works for numbers 2 – 9. | ||
| − | #Add a zero to the product of any number times 10. When multiplying by 10, the product is equal to the number followed by a 0 at the end. Again, zero is the exception to this rule (0 x 10 = 0).<ref | + | #Add a zero to the product of any number times 10. When multiplying by 10, the product is equal to the number followed by a 0 at the end. Again, zero is the exception to this rule (0 x 10 = 0).<ref name="rf1" /> |
#* For example 10 x 2 = 20, 10 x 7 = 70, 10 x 9 = 90, etc. | #* For example 10 x 2 = 20, 10 x 7 = 70, 10 x 9 = 90, etc. | ||
| − | #Repeat the digit (up to 9) when multiplying by 11. The multiplication facts for 11 are pretty simple until you reach the number 10. Simply repeat the number you are multiplying by for the final answer. After 9, you need to memorize that 11 x 10 is 110, and 11 x 12 is 132.<ref | + | #Repeat the digit (up to 9) when multiplying by 11. The multiplication facts for 11 are pretty simple until you reach the number 10. Simply repeat the number you are multiplying by for the final answer. After 9, you need to memorize that 11 x 10 is 110, and 11 x 12 is 132.<ref name="rf1" /> |
#* For example: 11 x 2 = 22, 11 x 3 = 33, 11 x 4 = 44, etc. | #* For example: 11 x 2 = 22, 11 x 3 = 33, 11 x 4 = 44, etc. | ||
=== Using Tools to Memorize the Times Tables === | === Using Tools to Memorize the Times Tables === | ||
| − | #Use flashcards. Make multiplication cards for each number set. Although this may seem tedious, the process of making the cards will actually help you to learn them. Once you’ve made them, spend some time each day studying until you know them all.<ref>http://www.activityvillage.co.uk/times-tables-flash-cards-double-sided</ref> | + | #Use flashcards. Make multiplication cards for each number set. Although this may seem tedious, the process of making the cards will actually help you to learn them. Once you’ve made them, spend some time each day studying until you know them all.<ref name="rf4">http://www.activityvillage.co.uk/times-tables-flash-cards-double-sided</ref> |
#* Focus on one number set at a time. | #* Focus on one number set at a time. | ||
#* When you go through the cards, put the ones you get wrong back into the pile so you see them multiple times. | #* When you go through the cards, put the ones you get wrong back into the pile so you see them multiple times. | ||
| − | #Practice with worksheets. Once you have mastered the flash cards, try your hand at some worksheets. Start by practicing with one number set at a time. When you have mastered all of them, try worksheets that mix up all of the number sets and see how you do.<ref>http://www.mathworksheets4kids.com/multiplication-tables.php</ref> | + | #Practice with worksheets. Once you have mastered the flash cards, try your hand at some worksheets. Start by practicing with one number set at a time. When you have mastered all of them, try worksheets that mix up all of the number sets and see how you do.<ref name="rf5">http://www.mathworksheets4kids.com/multiplication-tables.php</ref> |
#* If you know your tests will be timed in school, try practicing with a timer. | #* If you know your tests will be timed in school, try practicing with a timer. | ||
| − | #Sing songs with hand movements. There are multiplication albums that sing the times tables. You can listen along and learn the times tables through music instead of rote memorization.<ref>http://www.homeschoolmath.net/reviews/multiplication_mountain.php</ref> Listen to a few different versions and find one that works best for you. | + | #Sing songs with hand movements. There are multiplication albums that sing the times tables. You can listen along and learn the times tables through music instead of rote memorization.<ref name="rf6">http://www.homeschoolmath.net/reviews/multiplication_mountain.php</ref> Listen to a few different versions and find one that works best for you. |
#* Add in hand motions or dance moves that illustrate the different number pairs to make the process more interactive. | #* Add in hand motions or dance moves that illustrate the different number pairs to make the process more interactive. | ||
| − | #Use mnemonics and silly stories to help you remember. A mnemonic is a special technique or learning device that helps you remember something. Stories like Times Tales can help you memorize your multiplication facts by associating the numbers with silly characters and stories.<ref>http://www.timestales.com/</ref> | + | #Use mnemonics and silly stories to help you remember. A mnemonic is a special technique or learning device that helps you remember something. Stories like Times Tales can help you memorize your multiplication facts by associating the numbers with silly characters and stories.<ref name="rf7">http://www.timestales.com/</ref> |
| − | #* Phrases like 5 6 7 8, 56 equals 7 times 8 are also useful.<ref>http://www.mathmammoth.com/lessons/multiplication_tables.php</ref> | + | #* Phrases like 5 6 7 8, 56 equals 7 times 8 are also useful.<ref name="rf8">http://www.mathmammoth.com/lessons/multiplication_tables.php</ref> |
#* There are many ways to memorize things, you just need to find the way that works best for you. | #* There are many ways to memorize things, you just need to find the way that works best for you. | ||
| − | #Play math games. After mastering all of the fact families, play math games to build up speed. There are many games available online to help you master your fact families and go through them quickly.<ref>http://www.topmarks.co.uk/maths-games/7-11-years/times-tables</ref> | + | #Play math games. After mastering all of the fact families, play math games to build up speed. There are many games available online to help you master your fact families and go through them quickly.<ref name="rf9">http://www.topmarks.co.uk/maths-games/7-11-years/times-tables</ref> |
#* Math games are a more exciting and interactive way for children to learn the multiplication tables. | #* Math games are a more exciting and interactive way for children to learn the multiplication tables. | ||
#* Some math games include visual aids and other graphics to help you relate the numbers together. | #* Some math games include visual aids and other graphics to help you relate the numbers together. | ||
