Mixed Numbers

Alpha textbook: Working with mixed numbers, Ex 8.07 and Ex 8.08, pgs
Alpha textbook: 129
Alpha textbook: Using mixed numbers in context, Ex 8.09, pgs 130 and
Alpha textbook: 131

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)

New NZC (2026)

Convert a mixed number to an improper fraction, and an improper fraction to a mixed number.
Combine a whole number and a fraction into a single mixed number.
Add and subtract mixed numbers with the same denominator.
Compare two mixed numbers, or a mixed number and an improper fraction, to find which is greater.
Add and subtract mixed numbers with different denominators, simplifying the result where needed.
Solve real-world word problems involving adding or subtracting mixed numbers, such as lengths, capacities, and quantities of food.
Check and explain whether a given conversion or simplification of a mixed number or improper fraction is correct.
Solve harder mixed-number problems, including adding or subtracting three mixed numbers, ordering several mixed numbers and fractions together, filling in equivalent-fraction blanks, and substituting mixed-number values into a simple algebraic expression.