Proportions are a
large part of the 7th grade Math curriculum and thus why it was my first
strategy to solve the above problem. The size of the car does not change
throughout the problem which allows the use of equivalent ratios to find the
missing quantity. This is of course not the only way to solve this problem. I
have listed 3 other strategies that are common among my students. The second strategy
also uses equivalent ratios by multiplying the denominator and numerator by the
same number. Since 16 must be multiplied by 4 to get 64 then we must multiply 6
by 4 as well. This strategy results in the same solution as my first strategy.
The third and
fourth strategies use unit rates to find the missing quantity. The third
strategy determines that .375 of the toy car takes up 1 inch of the row. We can
determine how many cars take up 64 inches of a row using multiplication. The
fourth strategy determines that 1 car takes up 2 and 2/3 inches. We can find
how many times 2 and 2/3 fits into 64 using division. Just like the previous 2
strategies, the solution is 24 cars in a row that is 64 inches long.
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