Mathematics Developmental Continuum P-10

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Comparing Decimal Numbers - Progression Points

Dimension

Level

Progression Point

Number

2.25
  • Rounding of amounts of money up and down to the nearest dollar

2.75
  • Use of place value (as the idea that ‘ten of these is one of those’) to determine the size and order of decimals to hundredths
  • Use of algorithms for the addition and subtraction of numbers to two decimal places

3.0 Standard

... Students use place value (as the idea that ‘ten of these is one of those’) to determine the size and order of whole numbers to tens of thousands, and decimals to hundredths.

They devise and use algorithms for the addition and subtraction of numbers to two decimal places, including situations involving money.

3.5
  • Listing of objects and their size, where size varies from thousandths to thousands of a unit
  • Addition, subtraction and multiplication of fractions and decimals (to one decimal place) using approximations such as whole number estimates and technology to confirm accuracy
  • Representation of simple ratios as percentages, fractions and decimals
  • Ordering of integers (for example, positive and negative temperatures), positive fractions and decimals

3.75
  • Recognition of equivalent rates expressed as percentages, fractions and decimals
  • Recognition that multiplication can either enlarge or reduce the magnitude of a number (multiplication by fractions or decimals)

4.0 Standard

... Students model integers (positive and negative whole numbers and zero), common fractions and decimals.

They place integers, decimals and common fractions on a number line.

They 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).

They add, subtract, and multiply fractions and decimals (to two decimal places) and apply these operations in practical contexts, including the use of money.

4.25
  • Knowledge of decimal and percentage equivalents or 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

... Students 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%).

They write the reciprocal of any fraction and calculate the decimal equivalent to a given degree of accuracy.