Fractions < Back to Number Fractions Stage 1 Junior & Senior Infants Through appropriately playful and engaging learning experiences, children should be able to Stage 2 1st & 2nd Class Through appropriately playful and engaging learning experiences, children should be able to Stage 3 3rd & 4th Class Through appropriately playful and engaging learning experiences, children should be able to Stage 4 Fifth and Sixth class Through appropriately engaging learning experiences, children should be able to develop an awareness of part-whole relationships using a variety of models (area, length and set). recognise and name fractions according to their part-whole relationships. explore the concept of equivalence in terms of simple fractions. compare and express in equivalent terms; and order fractions. calculate the fraction of quantities and express in multiple ways. explore (model, compare and convert) the relationships between fractions, decimals and percentages. investigate proportionality and ratios of quantities (sets). Concepts Sets, objects and spaces can be partitioned in different ways. Fractions are a representation of part-whole relationships. Fractions are named according to their number of equal parts or shares. Each equal share of a set has the same value. Numbers may be expressed as numerous equivalent fractions. The greater the number of portions of a whole, the smaller the size of each portion. A numerator denotes the number of parts, the denominator denotes the total number of parts in a whole. A fraction may be considered as a representation of division. Fraction families are helpful to show how fractions are related and / equivalence, and when adding and subtracting fractions. Fractions can express value greater than one. Improper fractions have numerators that are higher than the denominators. Fractions can be more easily added / subtracted when they have a common denominator. Fractions can be represented in decimal and percentage form. Ratios can be used to compare two or more whole numbers and have corresponding representations as fractions. Multiplying or dividing a fraction by a fractional equivalent of one does not alter its value. This can be useful for exploring equivalence and / or computation involving fractions. Progression Continuum Click on the image to access the progression continuum for the strand unit of 'Fractions'