N4.6
Demonstrate an understanding of fractions less than or equal to one by using concrete and pictorial representations to:
  • name and record fractions for the parts of a whole or a set
  • compare and order fractions
  • model and explain that for different wholes, two identical fractions may not represent the same quantity
  • provide examples of where fractions are used.

[C, CN, PS, R, V]

Indicators for this outcome
(a)

Represent a fraction using concrete materials.

(b)

Represent a fraction based on a symbolically concrete representation (e.g., circles for cookies).

(c)

Name and record the fraction for the included and not included parts of a set.

(d)

Name and record the shaded and non-shaded (included and not included) parts of a whole.

(e)

Represent a fraction pictorially by indicating parts of a given set.

(f)

Represent a fraction pictorially by indicating parts of a whole.

(g)

Explain how denominators can be used to compare two unit fractions with numerator 1.

(h)

Order a set of fractions that have the same numerator and explain the ordering.

(i)

Order a set of fractions that have the same denominator and explain the ordering.

(j)

Identify which of the benchmarks 0, 1/2 or 1 is closer to a given fraction.

(k)

Name fractions between two benchmarks on a number line.

(l)

Order a set of fractions by placing them on a number line with given benchmarks.

(m)

Provide examples of when two identical fractions may not represent the same quantity (e.g., half of a large apple is not equivalent to half of a small apple; half a group of ten cloudberries is not equivalent to half of a group of sixteen cloudberries).

(n)

Provide an example of a fraction that represents part of a set, a fraction that represents part of a whole, or a fraction that represents part of a length from everyday contexts.

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