Fractions - Equivalent fractions 3 - Presentation

In a comprehensive lesson on equivalent fractions, students are encouraged to deepen their understanding through a variety of activities that utilise visual aids like fraction walls and circles. The lesson starts with a discussion that prompts students to define 'numerator' and 'denominator', essential terms in fraction notation. Following this, the first activity involves completing a table that pairs fractions with pictorial representations and words, such as recognising that six eighths is the same as three quarters. This activity not only reinforces the concept of equivalent fractions but also encourages students to look for patterns which can further aid their understanding of how fractions are related to one another.

The subsequent activities continue to build on this foundation, with students using practical equipment to complete statements that demonstrate the equivalency between different fractions. For example, they explore that one quarter is equivalent to two eighths, and one half is the same as three sixths or six twelfths. The lesson also includes reasoning exercises where students are challenged to prove or disprove statements about the relationships between numerators and denominators in equivalent fractions. In one activity, they explore the incorrect notion that a fraction equivalent to one half has a denominator that is triple the numerator, leading to the understanding that the denominator should actually be double the numerator. Independent work tasks and discussions further encourage students to utilise their times tables knowledge, recognise patterns, and understand the consistent relationship between numerators and denominators in equivalent fractions.