AC9M7N06 Year 7 Mathematics

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

Elaborations

• • Elaboration 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
• • Elaboration choosing an appropriate numerical representation for a problem so that efficient computations can be made, such as 12.5%, 1/8, 0.125 or 125/1000
• • Elaboration 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 2/3 of 1/2 giving 1/2 of 2/3=1/3
• • Elaboration solving multiplicative problems involving fractions and decimals using fraction walls, rectangular arrays, algebra tiles, calculators or informal jottings
• • Elaboration developing efficient strategies with appropriate use of the commutative and associative properties, regrouping or partitioning to solve additive problems involving fractions and decimals
• • Elaboration carry out calculations to solve problems using the representation that makes computations efficient such as 12.5% of 96 is more efficiently calculated as 1/8 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