Percentages - Equivalent Fractions, Decimals and Percentages - Planning

In a comprehensive lesson aimed at Year 6 students, the intricate relationship between fractions, decimals, and percentages is explored. The lesson begins with a review of familiar equivalent fractions and decimals, setting the stage for discovering their corresponding percentages. A key activity involves teaching children to convert fractions into percentages by finding an equivalent fraction with 100 as the denominator. This method is further cemented by connecting it to place value knowledge, such as understanding that 1/100 is the same as 0.01. Students are then encouraged to apply this understanding to various decimals, reinforcing the concept that, for instance, 0.5 is not 5% but rather 50%. The lesson utilises worksheets and a presentation as resources, and introduces key vocabulary like fraction, percentage, equivalent, tenths, hundredths, decimal, and conversion, with vocabulary cards and definitions available for support.

Further activities challenge the students to compare pairs of decimals, fractions, and percentages, requiring them to convert these numbers to a common form for accurate comparison. This helps to deepen their understanding of equivalency across these different numerical representations. The lesson also includes group work where students use digit cards to create fractions and then convert these into decimals and percentages, enhancing their problem-solving and reasoning skills. To conclude, a plenary session involves a reflection activity where students assess their learning and identify areas that may need further clarification, such as the common misconception that 0.1 is equivalent to 10%. The lesson is structured to cater to various levels of understanding, with differentiated activities aimed at students working towards fluency, at the expected level, and at greater depth.