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Fractions as part-whole relationships
ReplyDeleteThe concept of a fraction as a part-whole relationship is where one or more equal parts of a whole are compared with the total number of these parts that it takes to make up the whole.
To understand fractions as part-whole relationships, students need to recognise the relationship between the bottom number (total number of equal-sized parts that make up the whole) and the top number (number of these parts of interest). Understanding part-whole fractions can also involve:
Most students' first introduction to fractions in the classroom as a part-whole comparison is with unit fractions, e.g., half, quarter, third (1/2, 1/4, and 1/3). A unit fraction is one part of a whole. That whole may be partitioned into many parts, but as long as it is only one of these parts of interest it is called a unit fraction.