Learn Your Multiplication Facts in Ten Lessons
You understand that multiplication is handy for repeating addition. For example, 3 + 3 + 3 + 3 + 3 is quicker as 3 x 5, especially when you get to larger numbers. You know that 3 x 4 is the same as counting the total of three groups of four. You understand the concept of multiplication. If you’re still struggling with the memorization part of knowing your multiplication facts, this page is for you!
It looks like there are 144 facts when you look at a blank multiplication grid, there certainly are 144 spaces. Who could memorize all that?! It’s intimidating – especially if you’re an adult, already out of school, and you haven’t learned them yet. Is it too late? No!!! You can improve your recall in ten lessons. If you practice ten minutes every day after going through the lessons, you’ve got it! You’ll know your multiplication facts 0 – 10!
I got the idea for breaking down the facts into a sequence of lessons from Lone Star Learning, so I want to give her credit for most of the ideas. The rest are tricks I’ve used or that previous students and my daughters taught me. Happy Studying!
It looks like there are 144 facts when you look at a blank multiplication grid, there certainly are 144 spaces. Who could memorize all that?! It’s intimidating – especially if you’re an adult, already out of school, and you haven’t learned them yet. Is it too late? No!!! You can improve your recall in ten lessons. If you practice ten minutes every day after going through the lessons, you’ve got it! You’ll know your multiplication facts 0 – 10!
I got the idea for breaking down the facts into a sequence of lessons from Lone Star Learning, so I want to give her credit for most of the ideas. The rest are tricks I’ve used or that previous students and my daughters taught me. Happy Studying!
Materials: - Choose a Multiplication Chart
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Materials - Choose Flash Cards
You will need one set of flash cards if you don't already own some. You can print this traditional, rectangular style:
multiplication_flash_cards_0_-_10.pdf | |
File Size: | 451 kb |
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...Or print this triangular style that will help you make the connection between multiplication and division:
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Lesson 1: 1’s and 0’s Facts
We are not going to look at all the facts at once. I don’t even want you to go past this lesson today. Let’s take it one step at a time. As we move through the lessons, you'll see that there are not really all that many facts that you don't already know.
First, print out one of the two blank multiplication charts found in the materials section above. Choose the grid with the facts inside if you have difficulty graphing. Choose the grid with completely blank spaces if you prefer the less crowded look and are comfortable finding your answers using a graph. You can always change your mind about your choice of graph as you go through the lessons.
Second, if you don't already have a set of multiplication flash cards you can use, print out your choice of cards from the materials section above. You can coose to print rectangular flash cards (print back to back) or triangular cards from the materals section above. Cut them apart. To use triangular flash cards, hold your finger over the portion of the fact you want to practice; the answer is under your finger.
The Ones Facts
7 x 1. Picture it. What if I had 7 chairs with one person in each? I’d have 7 people, right?
9 x 1. Picture it. What if I got paid 9¢ for every nail I pounded and I only pounded one? I’d have 9¢, right?
Any number times one is that number.
143 x 1. Picture it. Someone gives you 143 sheets of paper. They give it to you one time. How much paper do you have? 143 sheets of paper.
If someone gives a one-time donation to charity in the amount of $1,000,000.00, how much did they donate? 1 million dollars.
What is -3,429 x 1? -3,429
Memorize this: "Any number times one is that number."
What is one-quarter times one?
How about a quincentalzen times one? (Yes! I made that up.) Apply the rule! What's the answer?
Fill in the vertical and horizontal spaces for the ones facts on your multiplication chart. Resist the urge to fill in the whole chart now. We'll fill it in as we go through the lessons.
We are not going to look at all the facts at once. I don’t even want you to go past this lesson today. Let’s take it one step at a time. As we move through the lessons, you'll see that there are not really all that many facts that you don't already know.
First, print out one of the two blank multiplication charts found in the materials section above. Choose the grid with the facts inside if you have difficulty graphing. Choose the grid with completely blank spaces if you prefer the less crowded look and are comfortable finding your answers using a graph. You can always change your mind about your choice of graph as you go through the lessons.
Second, if you don't already have a set of multiplication flash cards you can use, print out your choice of cards from the materials section above. You can coose to print rectangular flash cards (print back to back) or triangular cards from the materals section above. Cut them apart. To use triangular flash cards, hold your finger over the portion of the fact you want to practice; the answer is under your finger.
The Ones Facts
7 x 1. Picture it. What if I had 7 chairs with one person in each? I’d have 7 people, right?
9 x 1. Picture it. What if I got paid 9¢ for every nail I pounded and I only pounded one? I’d have 9¢, right?
Any number times one is that number.
143 x 1. Picture it. Someone gives you 143 sheets of paper. They give it to you one time. How much paper do you have? 143 sheets of paper.
If someone gives a one-time donation to charity in the amount of $1,000,000.00, how much did they donate? 1 million dollars.
What is -3,429 x 1? -3,429
Memorize this: "Any number times one is that number."
What is one-quarter times one?
How about a quincentalzen times one? (Yes! I made that up.) Apply the rule! What's the answer?
Fill in the vertical and horizontal spaces for the ones facts on your multiplication chart. Resist the urge to fill in the whole chart now. We'll fill it in as we go through the lessons.
The Zeros Facts
6 x 0. Picture it. There are 6 chairs with nobody in them. How many people? Zero!
8 x 0. Picture it. If I get paid $8 for every basket of peaches I pick and I don’t pick any, how much money do I get paid? None!
Any number times zero is zero.
63,345 x 0. Picture it. You start a new job next week. Your annual salary will be $63, 345 but you haven’t worked at all
yet. How much money do you have from this job? $0.00!
Should you be excited if someone offers you $1,000,000 times zero?
Memorize this: Any number times zero is zero.
What is a quincentalzen times zero?
One-sixteenth times zero?
What is -17 x 0?
Now, fill in your multiplication chart with the zeros facts. Be sure you fill in the vertical and horizontal spaces.
Practice:
If ones and zeros are already facts you knew well, you can skip this section.
Flashcards. Get your set of flashcards and sort through them. Make a pile of those that ask you to mutiply by one or by zero. These are the only cards you will practice today. Make a second pile of the rest and set it aside for another lesson.
Worksheets. If you need additional practice, you can download and print some of the pages from the files below. You will likely not need every page, so be selective. You may choose to print out an extra to save as review before you do Lesson 2.
6 x 0. Picture it. There are 6 chairs with nobody in them. How many people? Zero!
8 x 0. Picture it. If I get paid $8 for every basket of peaches I pick and I don’t pick any, how much money do I get paid? None!
Any number times zero is zero.
63,345 x 0. Picture it. You start a new job next week. Your annual salary will be $63, 345 but you haven’t worked at all
yet. How much money do you have from this job? $0.00!
Should you be excited if someone offers you $1,000,000 times zero?
Memorize this: Any number times zero is zero.
What is a quincentalzen times zero?
One-sixteenth times zero?
What is -17 x 0?
Now, fill in your multiplication chart with the zeros facts. Be sure you fill in the vertical and horizontal spaces.
Practice:
If ones and zeros are already facts you knew well, you can skip this section.
Flashcards. Get your set of flashcards and sort through them. Make a pile of those that ask you to mutiply by one or by zero. These are the only cards you will practice today. Make a second pile of the rest and set it aside for another lesson.
Worksheets. If you need additional practice, you can download and print some of the pages from the files below. You will likely not need every page, so be selective. You may choose to print out an extra to save as review before you do Lesson 2.
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Lesson 2: 2's, 5's, and 10's
First, review Lesson 1. Any number times one is _____? Any number times zero is _____? Scroll back up if you don't have those answers as quick as a blink. Also, go through the pile of flashcards you separated to use and test yourself on all your zeros and ones.
Now it's time to move on to today's lesson. Your loose change jar will help you practice all these new facts.
The Twos Facts
8 x 2. Picture this. Eight people are lined up. Each of them has two eyes (hopefully!). How many eyes? Sixteen.
2 x 4. Picture this. Two vans, each with 4 tires. How many tires? Eight.
7 x 2. Picture this. A two-family house, each side has seven residents. How many people live there? Fourteen.
Try this. Line up 24 pennies in two rows. Use these to practice counting by twos. Slide two pennies at a time off to the side and say, "Two, four, six, eight, ten, twelve, fourteen, sixteen, eighteen, twenty, twenty-two, twenty-four." These are all the multiples of two. Do this several times or until you can count by twos without the pennies there.
Notice that these are all even numbers. All the answers in the twos facts are even numbers.
Fill in your multiplication chart in the twos spaces both vertically and horizontally.
The Fives Facts
5 x 7. Picture this. You have seven cars and you squeeze five people in each. How many people are traveling together? 35
5 x 9. Picture this. You earn $9 per hour. If you work for 5 hours, what would you earn? Forty-five dollars.
Pull out 10 to 20 nickles. Name the multiples of five. Slide one nickle (worth 5 cents) off to the side each time you count..."Five, ten, fifteen, twenty, twenty-five, thirty." Feel the rhythm to the words? "Thirty-five, forty, forty-five, fifty, fifty-five, sixty, sixty-five, seventy, seventy-five, eighty, eighty-five, ninety, ninety-five, one hundred."
Look at your clock. The numbers are spaced in five-minute intervals. Starting at the hour, four segments past is 20 minutes past. 4 x 5 is 20. Three segments is 15 minutes. 3 x 5 is 15. Six segments is half an hour, or 30 minutes. 6 x 5 is 30.
Fill in your multiplication chart with the fives facts. Notice that the fives make a cross right through the center.
The Tens Facts
10 x 6. Picture this. You have a cell phone on someone else's plan and it costs $10 per month. How much does it cost for 6 months? Sixty dollars!
Take out ten dimes. Use them to practice the multiples of ten. Name them up to 100. "Ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred."
One short cup to looking at the tens facts is "Just add a zero."
Practice:
Flashcards. Get out your flashcards and resort the two piles. Keep the pile of 1's and 0's you practiced yesterday. Sort through the other pile to find all of the 2's, 5's, and 10's and include them with those you'll practice today. Set the rest aside for another lesson.
Worksheets. If you need additional practice, you can download and print some of the pages from the files below. You will likely not need every page, so be selective. If you think you're doing well without any other practice, still consider the last file in this section which is a mixed practice.
First, review Lesson 1. Any number times one is _____? Any number times zero is _____? Scroll back up if you don't have those answers as quick as a blink. Also, go through the pile of flashcards you separated to use and test yourself on all your zeros and ones.
Now it's time to move on to today's lesson. Your loose change jar will help you practice all these new facts.
The Twos Facts
8 x 2. Picture this. Eight people are lined up. Each of them has two eyes (hopefully!). How many eyes? Sixteen.
2 x 4. Picture this. Two vans, each with 4 tires. How many tires? Eight.
7 x 2. Picture this. A two-family house, each side has seven residents. How many people live there? Fourteen.
Try this. Line up 24 pennies in two rows. Use these to practice counting by twos. Slide two pennies at a time off to the side and say, "Two, four, six, eight, ten, twelve, fourteen, sixteen, eighteen, twenty, twenty-two, twenty-four." These are all the multiples of two. Do this several times or until you can count by twos without the pennies there.
Notice that these are all even numbers. All the answers in the twos facts are even numbers.
Fill in your multiplication chart in the twos spaces both vertically and horizontally.
The Fives Facts
5 x 7. Picture this. You have seven cars and you squeeze five people in each. How many people are traveling together? 35
5 x 9. Picture this. You earn $9 per hour. If you work for 5 hours, what would you earn? Forty-five dollars.
Pull out 10 to 20 nickles. Name the multiples of five. Slide one nickle (worth 5 cents) off to the side each time you count..."Five, ten, fifteen, twenty, twenty-five, thirty." Feel the rhythm to the words? "Thirty-five, forty, forty-five, fifty, fifty-five, sixty, sixty-five, seventy, seventy-five, eighty, eighty-five, ninety, ninety-five, one hundred."
Look at your clock. The numbers are spaced in five-minute intervals. Starting at the hour, four segments past is 20 minutes past. 4 x 5 is 20. Three segments is 15 minutes. 3 x 5 is 15. Six segments is half an hour, or 30 minutes. 6 x 5 is 30.
Fill in your multiplication chart with the fives facts. Notice that the fives make a cross right through the center.
The Tens Facts
10 x 6. Picture this. You have a cell phone on someone else's plan and it costs $10 per month. How much does it cost for 6 months? Sixty dollars!
Take out ten dimes. Use them to practice the multiples of ten. Name them up to 100. "Ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred."
One short cup to looking at the tens facts is "Just add a zero."
Practice:
Flashcards. Get out your flashcards and resort the two piles. Keep the pile of 1's and 0's you practiced yesterday. Sort through the other pile to find all of the 2's, 5's, and 10's and include them with those you'll practice today. Set the rest aside for another lesson.
Worksheets. If you need additional practice, you can download and print some of the pages from the files below. You will likely not need every page, so be selective. If you think you're doing well without any other practice, still consider the last file in this section which is a mixed practice.
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Even if you're skipping the practice above because these are facts you've got down, give some of the sheets in the file below a whirl for good measure. You can use a few of the pages as review before beginning Lesson 3.
multiplication_with_anchor_facts_0_1_2_5_and_10.pdf | |
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Lesson 3: 9's Facts
First, review by using flashcards from Lessons 1 and 2 or a few worksheets from the file above that ended Lesson 2.
The Nines Facts
If you don't know the trick for using your hands to multiply by nine, check out this YouTube video.
First, review by using flashcards from Lessons 1 and 2 or a few worksheets from the file above that ended Lesson 2.
The Nines Facts
If you don't know the trick for using your hands to multiply by nine, check out this YouTube video.
Some students who are as old as I am may remember the School of Rock multiplication video. Here's the segment that shows multiplication by nine; you may find it interesting and perhaps memorable enough to help you out.
If you skip ahead in this video to around 2:55 minutes, you'll see another way to look at multiplying by nine. This guy goes through it a little too quickly, is a little quirky, and advertises for himself. Play just that little section more than once if you need to in order to understand the concept.
So, any way you want to look at multiplying by nine is fine. Find a way that works for you to get the answers as quickly as possible.
Fill in your multiplication chart with the nines facts. Don't forget to fill them in horizontally as well as vertically. Notice that when you go to add to your chart, you're finding that some are already filled in because you added them in another lesson. This is a good time to double check that they are correct.
Practice:
Flashcards. Practice your flash cards that now include 0's, 1's, 2's, 5's, 10's, and 9's.
Worksheets. Practice with any of the following worksheets. The more you practice, the faster you'll be. Don't try to do them all in one day. This should now be the third day (or more) of your studying multiplicatin. Studies show that learning by cramming does not lead to long-term learning. You'll get there!
Fill in your multiplication chart with the nines facts. Don't forget to fill them in horizontally as well as vertically. Notice that when you go to add to your chart, you're finding that some are already filled in because you added them in another lesson. This is a good time to double check that they are correct.
Practice:
Flashcards. Practice your flash cards that now include 0's, 1's, 2's, 5's, 10's, and 9's.
Worksheets. Practice with any of the following worksheets. The more you practice, the faster you'll be. Don't try to do them all in one day. This should now be the third day (or more) of your studying multiplicatin. Studies show that learning by cramming does not lead to long-term learning. You'll get there!
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Lesson 4: Squares - 4 x 4 and 3 x 3
First, review the facts from Lessons 1 - 3 using your separated pile of flash cards and any of the worksheets you choose. Remember, don't move on to this lesson until you know the ones from the previous lesson accurately.
Next, take a look at the multiplication chart you've been filling in with facts. Wow! You've already learned most of the facts! There are only 15 facts left to learn - the purple portion. The white spaces are facts that are the same as the purple facts; the commutative property of multiplication tells us that if we've learn 8 x 3 is 24, then we know that 3 x 8 is 24. My girls call these the "turn around facts." So, now it's time to celebrate your learning so far - stand up and do your version of a vctory dance!
First, review the facts from Lessons 1 - 3 using your separated pile of flash cards and any of the worksheets you choose. Remember, don't move on to this lesson until you know the ones from the previous lesson accurately.
Next, take a look at the multiplication chart you've been filling in with facts. Wow! You've already learned most of the facts! There are only 15 facts left to learn - the purple portion. The white spaces are facts that are the same as the purple facts; the commutative property of multiplication tells us that if we've learn 8 x 3 is 24, then we know that 3 x 8 is 24. My girls call these the "turn around facts." So, now it's time to celebrate your learning so far - stand up and do your version of a vctory dance!
Facts for Lesson 4
In this lesson, you must learn that 4 time 4 is 16 and 3 times 3 is nine. You need to commit these to memory any way that you can. Different ways work for different people. Some people like to think of something the numbers can remind them of. See if these can help you:
In this lesson, you must learn that 4 time 4 is 16 and 3 times 3 is nine. You need to commit these to memory any way that you can. Different ways work for different people. Some people like to think of something the numbers can remind them of. See if these can help you:
Picture this: 3 by 3 is 3 rows of 3, which is 9
Fill in the facts 4 x 4 and 3 x 3 on your multiplication chart.
Practice:
Add 4 x 4 and 3 x 3 to your study pile of flash cards. Review them all (excluding the ones we haven't covered yet). As you test yourself, make a pile of the cards you that are giving you trouble and a pile the cards you know well. Keep practicing the ones that are difficult until you get them correct before you move on to the next lesson.
Practice:
Add 4 x 4 and 3 x 3 to your study pile of flash cards. Review them all (excluding the ones we haven't covered yet). As you test yourself, make a pile of the cards you that are giving you trouble and a pile the cards you know well. Keep practicing the ones that are difficult until you get them correct before you move on to the next lesson.
Lesson 5: 3's Facts - 3 x 4 and 3 x 8
First, review the facts from the previous lessons. Make sure you've got 'em before moving on! We want to make sure that the facts you are learning stay as multiplication facts in your head rather than a scramble of numbers. Review with your flashcards or test yourself with one of the worksheets.
First, review the facts from the previous lessons. Make sure you've got 'em before moving on! We want to make sure that the facts you are learning stay as multiplication facts in your head rather than a scramble of numbers. Review with your flashcards or test yourself with one of the worksheets.
Facts for Lesson 5
For this lesson, you are responsible for learning that 3 x 4 is 12 and 3 x 8 is 24. One way to look at these problems is in terms of dozens.
Three eggs, four times is one dozen eggs. 3 x 4 = 12
For this lesson, you are responsible for learning that 3 x 4 is 12 and 3 x 8 is 24. One way to look at these problems is in terms of dozens.
Three eggs, four times is one dozen eggs. 3 x 4 = 12
Three eggs, eight times is two dozen eggs. 3 x 8 = 24
Grab a piece of scrap paper. Can you sketch a dozen eggs and color or circle them to show 4 x 3?
Use your scrap paper. Sketch two dozen eggs and color or circle them to show 8 x 3.
This next video is for teachers, but you might find it useful. It covers all of the three's facts, so therefore it overlaps with some of the facts from the previous lessons that you've learned, as well as gets into some of the facts you will see in Lesson 6. I do think this is a good way to study and you might like to use this method to review your 9's facts or 5's facts as well.
Here's a School House Rock video that reviews some of what she just suggested, but in song form:
Fill in your multiplication chart with the answers to the facts 3 x 4, 4 x 3, 3 x 8, and 8 x 3. One more time, admire how many facts you know now!
Practice:
Worksheets with the 3's facts are at the end of Lesson 6. For now, practice with your flash cards. Add 3 x 4 and 3 x 8 to the mix. Don't forget to include the reciprocal (same numbers the other way) facts.
Practice:
Worksheets with the 3's facts are at the end of Lesson 6. For now, practice with your flash cards. Add 3 x 4 and 3 x 8 to the mix. Don't forget to include the reciprocal (same numbers the other way) facts.
Lesson 6: 3's Facts - 3 x 6 and 3 x 7
Start your studying by reviewing the facts you learned in Lessons 1 - 5. You're getting close to having a multiplication chart that's completely full of facts you've mastered!
The Remaining 3's Facts
In this lesson, you will need to memorize 3 x 6 = 18 and 3 x 7 = 21. There are some catchy phrases that help some people memorize these; for example, 3 golfers used six-irons to play 18 holes of golf (3 x 6 = 18).
Sometimes, however, you just need to think about the meaning. For these, one way is solve them using a quick calculation. You already know what two sixes are - 12. If you instead have three sixes, you can say in your head... 2 times six is 12, add one more six, twelve plus six is eighteen. That seems tedious, but as you continue to use it, the process shortens in your head. Some of you will just learn to calculate really fast, but others will eventually skip all the connections - you'll get to the point where you see the fact and "just know" the answer. That comes with practice.
The Remaining 3's Facts
In this lesson, you will need to memorize 3 x 6 = 18 and 3 x 7 = 21. There are some catchy phrases that help some people memorize these; for example, 3 golfers used six-irons to play 18 holes of golf (3 x 6 = 18).
Sometimes, however, you just need to think about the meaning. For these, one way is solve them using a quick calculation. You already know what two sixes are - 12. If you instead have three sixes, you can say in your head... 2 times six is 12, add one more six, twelve plus six is eighteen. That seems tedious, but as you continue to use it, the process shortens in your head. Some of you will just learn to calculate really fast, but others will eventually skip all the connections - you'll get to the point where you see the fact and "just know" the answer. That comes with practice.
Fill in your multiplicaton chart with the facts for 3 x 6 and 3 x 7. Don't forget to apply the commutative property and fill in a total of four spaces!
Practice:
The best way to memorize these additional facts is to mix them in with the ones you already know and just practice, practice, practice! There are some worksheets below that you can print and use. Y
Practice:
The best way to memorize these additional facts is to mix them in with the ones you already know and just practice, practice, practice! There are some worksheets below that you can print and use. Y
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Lesson 7: 6's Facts and 8 x 8
You've covered many of the 6's facts already because you've mastered multiplying 6 by 0, 1, 2, 3, 5, 9, and 10. Review these and all the facts from the previous lessons using your flash cards, worksheets, and any other ways you choose to practice.
Four New Facts in Lesson 7
In this lesson, you will add to your repertoire of mastered multiplication facts.
6 x 4 = 24
Say: "Six times four fell on the floor; when they got up, they were twenty-four!" -OR-
Notice that '6 times 4 is 24' has rhythm and it rhymes.
6 x 6 = 36
Notice that '6 times 6 is 36' has rhythm and it rhymes.
6 x 8 = 48
Say, "Six times eight went on a date; when they came back they were forty-eight!" -OR-
Say, "Six times eight I used to hate, until I learned it's forty-eight!" -OR-
Quickly calculate from another memorized fact and add up - 8 x 5 is 40, need another 8 to make 6 eights, 40 + 8 = 48
8 x 8 = 64
Say, "I ate and I ate 'til I got sick on the floor; eight times eight is sixty-four." -OR-
Picture two, double scoop ice cream cones. They look like eights when you make them with circles instead of a figure 8. Now drop both of those ice creams on the floor! Say, "Eight times eight is a sticky floor; eight times eight is sixty-four."
Here's a pattern you might notice with the even six facts that are made up of single-digit by single-digit numbers. Look at the number by which 6 is multiplied. For example, in 6 x 4, look at the 4. Take half of that number (2) and then say the number (4). You have your answer! Twenty-four. Try it with 6 x 6 and 6 x 8.
You've covered many of the 6's facts already because you've mastered multiplying 6 by 0, 1, 2, 3, 5, 9, and 10. Review these and all the facts from the previous lessons using your flash cards, worksheets, and any other ways you choose to practice.
Four New Facts in Lesson 7
In this lesson, you will add to your repertoire of mastered multiplication facts.
6 x 4 = 24
Say: "Six times four fell on the floor; when they got up, they were twenty-four!" -OR-
Notice that '6 times 4 is 24' has rhythm and it rhymes.
6 x 6 = 36
Notice that '6 times 6 is 36' has rhythm and it rhymes.
6 x 8 = 48
Say, "Six times eight went on a date; when they came back they were forty-eight!" -OR-
Say, "Six times eight I used to hate, until I learned it's forty-eight!" -OR-
Quickly calculate from another memorized fact and add up - 8 x 5 is 40, need another 8 to make 6 eights, 40 + 8 = 48
8 x 8 = 64
Say, "I ate and I ate 'til I got sick on the floor; eight times eight is sixty-four." -OR-
Picture two, double scoop ice cream cones. They look like eights when you make them with circles instead of a figure 8. Now drop both of those ice creams on the floor! Say, "Eight times eight is a sticky floor; eight times eight is sixty-four."
Here's a pattern you might notice with the even six facts that are made up of single-digit by single-digit numbers. Look at the number by which 6 is multiplied. For example, in 6 x 4, look at the 4. Take half of that number (2) and then say the number (4). You have your answer! Twenty-four. Try it with 6 x 6 and 6 x 8.
Fill in your multiplication chart with the answers to 6 x 4, 6 x 6, 6 x 8, and 8 x 8. Don't forget 4 x 6 and 8 x 6! Because of the commutative property of multiplication, you learned these when you learned the other four multiplication facts in this lesson.
Practice:
Add the Lesson 7 facts to your pile of flashcards and review again.
Now that you know your six facts, level one of Arithmetic Workout is a great place to practice. Try multiply, divide, and factor.
Add the Lesson 7 facts to your pile of flashcards and review again.
Now that you know your six facts, level one of Arithmetic Workout is a great place to practice. Try multiply, divide, and factor.
Lesson 8: 4's Facts
Review all of the facts from Lessons 1 - 8. Check out your stack of flash cards! The facts you know are a mountain compared to the ones you still have to learn.
The Remaining Fours Facts
In this lesson you will memorize 4 x 7 = 28 and 4 x 8 = 32.
Review all of the facts from Lessons 1 - 8. Check out your stack of flash cards! The facts you know are a mountain compared to the ones you still have to learn.
The Remaining Fours Facts
In this lesson you will memorize 4 x 7 = 28 and 4 x 8 = 32.
Fill in your multiplication chart with the facts 4 x 7 and 4 x 8. Fill in the other two facts that go with them. Only three facts left to go. Way to go!
Practice:
Use your flash cards with Lesson 8's facts added to the pile to practice. Download and print as many of these practice sheets as you need to use to be accurate and automatic with all of your new facts as well as the previous ones.
Practice:
Use your flash cards with Lesson 8's facts added to the pile to practice. Download and print as many of these practice sheets as you need to use to be accurate and automatic with all of your new facts as well as the previous ones.
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Lesson 9: 6 x 7
As usual, start off your studying by reviewing everything you've learned so far. It's most of the facts, really; we just have one more lesson after this one and we'll have covered all the facts. Review by testing yourself with flash cards or by using worksheets from previous lessons.
Fill in your multiplication chart. There are only three spaces left now!
Practice:
Update your pile of practice flash cards with your new fact. Practice with flash cards and with these worksheets as needed.
Practice:
Update your pile of practice flash cards with your new fact. Practice with flash cards and with these worksheets as needed.
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Lesson 10: 7 x 7 and 7 x 8
You've reached the last lesson! Hooray! Review all your facts before beginning.
Lesson 10 Facts
Lesson 10 Facts
Practice:
Add 7 x 7 and 7 x 8 to your pile of multipliation facts. Now you've got every fact in the pile of ones you are practicing!
Add 7 x 7 and 7 x 8 to your pile of multipliation facts. Now you've got every fact in the pile of ones you are practicing!
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You can download more worksheets at Math-Drills.com.
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How fast have you gotten wth all this studying? How many of these questions can you answer in exactly two minutes? How accurate are you?
multiplication_fact_check.pdf | |
File Size: | 11 kb |
File Type: |
Follow-Up
Keep practicing! Practice a few minutes every day, then every other day, then once a week. As time goes on, consider using mental math or grabing a piece of paper rather than always reaching for your calculator. Keep those skills you've worked so hard to acquire!
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Tired of your flashcards and worksheets? Now that you have been through all of the facts, you can go to the suggested websites to find places to practice multiplication on the web.
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You did it! I hope you feel like a million bucks. Do your own Happy Dance!