## Comparing and Ordering Fractions - Ottawa-Carleton DSBKNAER Lesson (Gr 6)

#### BLM Sample Anchor Chart

Things we learned about ordering fractions

• Placing fractions on a number line is one way to think about ordering the fractions. The smaller the fraction, the farther to the left of the number line it will be; the larger the fraction, the farther to the right it will be.
• We can use a benchmark to place a fraction. Benchmarks include 12 and 1 whole.
• When a fraction has the same numerator and denominator it is equivalent to one. E.g. , 22 = 1.
• As the numerator of a fraction gets closer to the denominator, the value of the fraction gets closer to the next whole number. E.g. , 57 is close to 1.
• Improper fractions are always greater than one. E.g. , 195 is greater than 1 and greater than 3.
• The greater the denominator the smaller the size of the parts of the whole are. E.g. , the pieces of 1520 are smaller than the pieces of 12.
• There are a number of different ways to represent a value using fractions. E.g. , 1 1020 = 1 12 = 32.
• When using a number line to order a set of fractions, you first have to scale your number line. To do that: decide what the smallest and largest fractions are; make sure that your number line captures these numbers without a lot of length to spare; tick off benchmarks; label 0, 1, and any other whole numbers needed.
• You don’t have to think about ordering the numbers in the sequence they are written in a list. It is strategic to order the easiest numbers first.