Fractions - Addition and Subtraction
Program of Studies
Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating.
How can the composition of fractions facilitate operating with fractions?
Students add and subtract fractions with common denominators.
Knowledge
Fractions with common denominators can be composed or decomposed to model the change in a quantity of unit fractions. Addition and subtraction of fractions with common denominators does not change the unit fraction from which they are composed. Fractions greater than one can be added or subtracted as mixed numbers or improper fractions.
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Understanding
Fractions with common denominators are multiples of the same unit fraction. Properties for addition and subtraction of natural numbers apply to fractions.
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Skills and Procedures
Investigate the composition and decomposition of a quantity within 1 using unit fractions. Express the composition or decomposition of fractions with common denominators as a sum or difference. Compare strategies for adding or subtracting improper fractions to strategies for adding or subtracting mixed numbers. Add and subtract fractions with common denominators within 100, including improper fractions and mixed numbers. Solve problems requiring addition and subtraction of fractions with common denominators, including improper fractions and mixed numbers.
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