Multiplication Strategies
Symbol meaning:
The symbol “x” means groups of. When reading the problem
6 x 4, it actually reads “6 groups of 4”. Saying “groups of” helps children visualize the problem.
Also, 6 groups of 4 looks different than 4 groups of 6. Yes, the product is the same, but the picture representation is different.
Product means the answer to a multiplication problem.
Place Value Multiplication:
14 x 3 = ___
10 x 3 = 30 30
4 x 3 = 12 + 12
42
Adding Strategy:
4 x 5 = ___
5 + 5 + 5 + 5 = 20 Notice there are 4 groups of 5.
Pictures:
3 x 6 = ___
J J J J J J J J J
J J J J J J J J J
So, 3 x 6 = 18. Notice there are 3 groups of 6.
I will be pushing the place value multiplication strategy, but all of these strategies are acceptable. This method works well because it is working within place value and still encourages using mental math (which they like).
Please encourage your child to use one of the methods shown above. Pictures are their friends and produce safe results! Please know that some form of work must be shown on all problems. Full points will not be earned if a child turns in a paper with only answers written.
A NOTE ABOUT THE TRADITIONAL ALGORITHM:
The traditional algorithm will not be shown in class.
EX:
1
15
x 3
45
This method teaches someone to follow instructions, but doesn’t do a very good job at teaching someone the art of multiplication. Yes, it gets you to the answer quickly, but the typical 3rd grader will have a difficult time explaining WHY and WHAT is happening.
The alternative methods shown encourage higher level thinking and build confidence within students. Please help your child understand the alternative methods.