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Learning TargetsOn Grade Level: I can represent verbal statements of multiplicative comparisons as multiplication equations.Above Grade Level: I can verify that a multiplicative comparison is a situation in which one quantity is multiplied by a specific number to get another quantity.
Important VocabularyEquation- a statement that two expressions are equal
(2 X 4 = 8 or A x B = C)Comparison- looking at things to see how they are similar or differentMultiplicative Comparison- a comparison of two quantities when one is a multiple of another
Multiplication ComparisonsYou can use multiplication to compare amounts. For example, you can think of 15 = 3 x 5 as a comparison in many ways:
1) 15 is 3 times as many as 5.
2) 15 is 5 times as many as 3.
3) 3 times 5 is 15.
For example: 7 x 5 = 3535 is a multiple of 7 (7+7+7+7+7 = 35)
35 is 5 times bigger than 7!35 is a multiple of 5 (5+5+5+5+5+5+5 = 35)
35 is 7 times bigger than 5!
9 x 7 = 63Don’t just look at this equation and think 9 x 7 = 63! Dig Deeper!
The = sign is telling me that 9 x 7 is the same as 63.
I also know that 9 and 7 are factors of 63.
If 9 and 7 are factors of 63, then 63 must be a multiple of 9 and 7.
I know that I can make multiplicative comparisons with these numbers
Write/Type a multiplicative comparison11 x 4 = 44
Write/Type a multiplicative comparison3 x 12 = 36
Write/Type a multiplicative comparison8 x 9 = 72
Important Concepts to Remember!An equation is a statement that two expressions are equal. (This is easy to remember because an equation is basically the act of making something equal)Remember that 2 factors are number that you multiply together to get a product. The product is always a multiple of the factors.Don’t think the word “times” always means to multiply. You will sometimes need to divide when making multiplicative comparisons.Don’t think the word “times” always means to multiply. You will sometimes need to divide when making multiplicative comparisons.
ReflectionWhat do you think about multiplicative comparisons? Why?