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In this unit we shall look at the basic concept of fractions — what they are, what they look like, why we have them and how we use them. We shall also look at different ways of writing down the same fraction.
A strong “sense of fractions” is fundamental to developing conceptual understanding of rational numbers, and includes flexibility with visual representations of fractions, a sense of the quantities represented by fractions and reasoning about relationships between the numbers.
Highlights include the following: Fractions are a part of a whole. The denominator is the number of parts the whole unit is divided into. The numerator is the number of those parts that are of interest. A proper fraction is a fraction in which the numerator is smaller than the denominator.
Compare unit fractions with different denominators (e.g. 1/3, 1/4, 1/5). Compare fractions with the same denominator (e.g. 1/5, 2/5, 3/5). Encourage strategies for deciding whether a fraction (unit or non-unit) is less than half, equal to half or greater than half.
When teaching fractions, we need to take into account that fractions can be interpreted in several different ways (Kieran, 1976, 1993). The interpretations are part-whole, ratio, operator, quotient, and measure.
28 kwi 2021 · •Fractions are parts of a whole, which can be based on size or sets. •When talking about fractions in terms of sets, each item counts as 1. •When talking about fractions in terms of size, the pieces must be equal sizes. •The numerator (top number) of the fraction is the number of parts that meet the condition in question.
A fraction consists of two numbers separated by a bar in between them. • The bottom number, called the denominator, is the total number of equally divided portions in one whole.
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