The Progression of Fractions

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However, it is important not to confuse that while the numerator and denominator can be thought of as two quantities that are related, a fraction is a single quantity that can be represented on a number line. But it just goes to show, sometimes the most successful products aren’t original at all—sometimes they’re a remix of what came before them. Keep reading to find out how Doritos took a big chomp into the snack market with big product risks, controversial marketing tactics, and partnerships that fuel brand relevance. While I find that multiplication of fractions seems to be the one operator I hear the least noise about, my gut tells me that it is more about being able to remember the algorithm and not due to any conceptual understanding. In my experience, many students can manage to remember to “multiply the tops, multiply the bottoms” without necessarily having any real conceptual understanding to fall back on in times of doubt. Exploring part-whole fractions beginning with unit fractions through counting can be helpful for building an understanding of the relationship of the part to the whole. This can be done through mathematical modelling using area models such as a bar model to encourage representing, comparing and ordering of fractions.

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