Mathematics / Year 7 / Number

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Curriculum content descriptions

use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies (AC9M7N06)

Elaborations
  • solving addition and subtraction problems involving fractions and decimals; for example, using rectangular arrays with dimensions equal to the denominators, algebra tiles, digital tools or informal jottings
  • choosing an appropriate numerical representation for a problem so that efficient computations can be made, such as \(12.5\)%, \(\frac18\), \(0.125\) or \(\frac{125}{1000}\)
  • developing efficient strategies with appropriate use of the commutative and associative properties, place value, patterning, and multiplication facts to solve multiplication and division problems involving fractions and decimals; for example, using the commutative property to calculate \(\frac23\) of \(\frac12\) giving \(\frac12\) of \(\frac23\)=\(\frac13\)
  • solving multiplicative problems involving fractions and decimals using fraction walls, rectangular arrays, algebra tiles, calculators or informal jottings
  • developing efficient strategies with appropriate use of the commutative and associative properties, regrouping or partitioning to solve additive problems involving fractions and decimals
  • carry out calculations to solve problems using the representation that makes computations efficient such as \(12.5\)% of \(96\) is more efficiently calculated as \(\frac18\) of \(96\), including contexts such as comparing land-use by calculating the total local municipal area set aside for parkland or manufacturing and retail, the amount of protein in daily food intake across several days, or increases/decreases in energy accounts each account cycle
General capabilities
  • Numeracy Numeracy
ScOT terms

Simple fractions,  Decimals,  Percentages,  Number operations

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