Percentages - Equivalent Fractions, Decimals and Percentages - Presentation

The lesson on Equivalent Fractions, Decimals, and Percentages (FDP) is designed to deepen students' understanding of how fractions, decimals, and percentages relate to each other. In this lesson, students will apply their knowledge of equivalent fractions and decimals to explore and find equivalent percentages. The term 'equivalent' is examined, prompting students to consider what it means for numbers in different forms to represent the same value. The lesson includes a series of activities, beginning with filling in a table to match decimals, fractions, and their corresponding percentages. For instance, students will see that 0.25 is equivalent to 25% and are tasked with completing the table with the correct values for other decimals such as 0.48, 0.5, and 0.01.

Subsequent activities involve comparing values and determining equivalences using mathematical symbols such as less than, greater than, and equals. For example, students will decide whether 0.74 is greater than, less than, or equal to 30%. Further exercises require students to identify which values are equivalent to a given percentage, such as 40%. Reasoning tasks challenge students to correct misconceptions, like explaining why the statement "0.2 is less than 15%" is incorrect, with the clarification that 0.2 is actually equivalent to 20%. The lesson also encourages students to create their own part-whole models with different values and to explore converting fractions into decimals and percentages using digit cards. The lesson concludes with independent work where students complete tables to show equivalent fractions and percentages and reflect on the processes involved in converting between decimals, fractions, and percentages.