Mathematics Developmental Continuum P-10

Percentages - Progression Points

Dimension

Level

Progression Point

Number

3.5
  • Representation of simple ratios as percentages, fractions and decimals

3.75
  • Recognition of equivalent rates expressed as percentages, fractions and decimals

4.0 Standard

... Students use decimals, ratios and percentages to find equivalent representations of common fractions (for example, 3 / 4 = 9 / 12 = 0.75 = 75% = 3 : 4 = 6 : 8).

4.25
  • Knowledge of decimal and percentage equivalents for 1/ 2 , 1 / 4 , 3 / 4 , 1 / 3 , 2 / 3
  • Expression of single digit decimals as fractions in simplest form and conversion between ratio, fraction, decimal and percentage forms

5.0 Standard

... They know the decimal equivalents for the unit fractions 1 / 2 , 1 / 3 , 1 / 4 , 1 / 5 , 1 / 8 , 1 / 9 and find equivalent representations of fractions as decimals, ratios and percentages (for example, a subset: set ratio of 4:9 can be expressed equivalently as 4 / 9 = 0. 4 ≈ 44.44%).

Students understand ratio as both set: set comparison (for example, number of boys : number of girls) and subset: set comparison (for example, number of girls : number of students), and find integer proportions of these, including percentages (for example, the ratio number of girls: the number of boys is 2 : 3 = 4 : 6 = 40% : 60%).

5.25
  • Calculation and use of percentage change in practical situations; for example, discounts

5.5
  • Calculation of the whole given the size of a percentage; for example, if a 20% discount is $7, what was the original value?