AC9M7N08 Year 7 Mathematics

Content descriptor recognise, represent and solve problems involving ratios

Elaborations

• • Elaboration using diagrams, physical or virtual materials to represent ratios, recognising that ratios express the quantitative relationship between 2 or more groups; for example, using counters or coloured beads to show the ratios 1:4 and 1:1:2
• • Elaboration using fractions to solve ratio problems involving comparison of quantities and considering part-part and part-whole relations; for example, dividing a set into the ratio 1:2 by determining the number of parts as 3
• • Elaboration sharing quantities in a given ratio; for example, sharing an amount of money in a given ratio, such as sharing \$20 in the ratio 2:3
• • Elaboration applying ratios to realistic and meaningful contexts; for example, mixing 500 millilitres of a liquid with a concentration of 1:4 means 1/5 concentrate and 4/5 water so, 0.2 of 500 millilitres is concentrate and 0.8 of 500 millilitres is water; interpreting results in context