Early Fraction Ideas with Models - Progression Points

Dimension

Level

Progression Point

Number

1.5

• Use of half and quarter as a descriptor; for example, a quarter of a cake

1.75

• Identification of half of a set of objects, including recognition of the need for ¹/₂ when sharing an odd number of objects

2.0 Standard

… Students describe simple fractions such as one half, one third and one quarter in terms of equal sized parts of a whole object, such as a quarter of a pizza, and subsets such as half of a set of 20 coloured pencils.

2.25

• Use of fractions with numerators other than one; for example, ³/₄ of a block of chocolate

2.5

• Development and use of fraction notation and recognition of equivalent fractions such as ¹/₂ = ⁴/₈, including the ordering of fractions using physical models

3.0 Standard

… Students develop fraction notation and compare simple common fractions such as ³/₄ > ²/₃ using physical models.

They add and subtract simple common fractions with the assistance of physical models.

3.25

• Multiplication of fractions by fractions through use of the rectangle area model (grid)

3.5

• Addition, subtraction and multiplication of fractions and decimals (to one decimal place) using approximations such as whole number estimates and technology to confirm accuracy

4.0 Standard

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

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