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Multiplication Tips - 1s, 3s, 6s, 7s

After the basic concepts of multiplication have been taught, here are some tips to learning and memorizing multiplication facts. Works well with older students.

****Remember the COMMUTATIVE PROPERTY – the order of the numbers does not change the answer. One fact learned means that two facts are actually learned.
Example: 4 x 5 = 20 and 5 x 4 = 20


0s ----------- since multiplication is repeated addition.
0 x 3 = 0 + 0 + 0 = 0
3 x 0 = 0 (commutative property)
Now, think of 0 x 3 as zero groups with three in each group. There are no groups!

1s ----------- any number times one equals that number, and it represents one group of one. Let’s form a picture in the mind that will stick. Think of the number one as a tall mirror. Any number looking into the mirror (multiplied by one), sees what? Itself!

3s ------- Use skip counting to learn the 3’s. For instance, to calculate 3 x 3, count by 3’s three times…3, 6, 9. Therefore, 3 x 3 = 9. Of course, you can use this method with all timetables.

6s ------ once you have mastered the 3’s. You’ll learn the 6’s with ease. Instead of multiplying by 6, multiply by 3 and double the answer. This is the same strategy used for the 4’s and 8’s. At this point, many of six timetables have been learned. The only ones left are …
6 x 4 and 6 x 8 ---- refer to the article, Multiplication Tips – 2s, 4s, 8s
6 x 5 = Refer to the article, Multiplication – Unique Timetable Patterns – 5s

6 x 6 =
Multiply 6 by 3 (which is half of 6) ------------- 3 x 6 = 18
Double the answer, 18 ------------------------- ( 18 + 18 = 36) or ( 18 x 2)
Thus, 6 x 6 = 36
Rhyme: 6 x 6 is 36

6 x 7 =
Multiply 7 by (3 which is half of 6) ------------- 3 x 7 = 21
Double the answer, 21 ------------------------- ( 21 + 21 = 42) or ( 21 x 2)
Thus, 6 x 7 = 42
Note: Did you hear the story about “6” and “7”?
“6” and “7” were friends. So, they rode a bicycle “for” “two”! (“for” “two” is a cute way to say “forty-two”)

7s ----------- Once the 0, 1, 2, 3, 4, 5, 6, 8, 9, 10 have been learned, the only fact left is
7 x 7 = 49, and you’re doing just fine!
Use this rhyme or one of your own to remember this fact.

Another interesting pattern is the fact “7 x 8 = 56.” If you write the equation with the product first, the numbers are in numerical order. “5” “6” = “7” x “8”

Hopefully, these tips will make learning fun.

If you would like an interactive learning tool, consider Hot Dots Multiplication Flash Cards. A special pen is used to select an answer. A correct answer will produce a bright light and sound, and a wrong answer gives a “bong” sound. This is the version I used in my class without any groans. However, now there is a new and improved pen with new sound effects, lights, and it talks. . Keep in mind, the pen is sold separately, and you can choose whether you want to hear words and/or sounds on the pen. That’s good to know for a classroom setting. On the other hand, perhaps you'd prefer electronic flashcards.

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Multiplication Tips - 2s, 4s, 8s
Multiplication - Unique Timetable Patterns - 5s
Multiplication Facts - Nine Timetables
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Content copyright © 2015 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.


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