Decimals and Percentages - Percentages as Fractions and Decimals - Presentation

In the lesson on 'Percentages as Fractions and Decimals', Year 5 students are tasked with understanding how to represent percentages in both fraction and decimal forms. The lesson encourages students to explore the similarities and differences between percentages, fractions, and decimals through various activities. For example, they learn that 30% can be expressed as 30 out of 100 or as the fraction 30/100, which is equivalent to the decimal 0.30. This concept is reinforced with a range of percentages, where students are asked to complete a table by converting between the different forms and to use pictorial representations to aid their understanding.

The lesson also includes more complex reasoning activities, where students must apply their knowledge to real-life scenarios. For instance, they calculate the proportion of shampoo used by Leanna, converting her usage into both a percentage and a decimal. In another activity, students consider the composition of an audience in a cinema, determining what percentage are boys, given that a certain proportion are adults and there are three times as many boys as girls. To further deepen their understanding, students are presented with problems involving the number of pages read from books of different lengths, and they must express their answers as fractions, percentages, and decimals. Independent work tasks challenge students to describe representations, complete tables, and solve problems, ensuring they can confidently convert between percentages, fractions, and decimals.