N7.5
Develop and demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences).

[C, CN, ME, PS, R, V]

Indicators for this outcome
(a)

Estimate the sum or difference of positive fractions and/or mixed numbers and explain the reasoning.

(b)

Model addition and subtraction of positive fractions and/or mixed numbers using concrete or visual representations, and record the process used symbolically.

(c)

Determine the sum or difference of two positive fractions or mixed numbers with like denominators and explain the strategy used.

(d)

Explain how common denominators for fractions and/or mixed numbers and factors are related.

(e)

Explain how a common denominator can help when adding fractions and/or mixed numbers.

(f)

Determine the sum or difference of two positive fractions or mixed numbers with unlike denominators and explain the strategy used.

(g)

Simplify a positive fraction or mixed number by identifying and dividing off the common factor between the numerator and denominator.

(h)

Generalize and explain personal strategies for determining the sum or difference of positive fractions and/or mixed numbers.

(i)

Solve a problem involving the addition or subtraction of positive fractions or mixed numbers.

(j)

Explain how the sum or difference of positive fractions and/or mixed numbers can be represented symbolically in different ways.

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