Percentages - Order Fractions, Decimals and Percentages - Presentation

In a comprehensive lesson focused on ordering fractions, decimals, and percentages (FDP), students are encouraged to deepen their understanding of these mathematical concepts. The lesson begins with a discussion on what ascending and descending order means, providing a platform for students to think critically about these terms and how they apply to numbers. They are then presented with a series of activities that challenge them to order FDP in both ascending and descending order. The activities are designed to engage students in mental arithmetic, as they use comparison symbols like less than (<), greater than (>), or equal to (=) to complete statements, reinforcing their understanding of the relative sizes of different fractions, decimals, and percentages.

Further activities include practical applications, such as sharing a cake among friends and determining who gets the largest and smallest portions, expressed as percentages and fractions. This real-world scenario prompts students to write percentages as fractions and then to discuss who ate the most and the least. Additionally, the lesson covers reasoning exercises where students evaluate scenarios like Rosie's biology test scores and Malachi's monthly savings, using their knowledge of FDP to draw conclusions about improvements and savings. The lesson concludes with independent work where students are tasked with solving problems that require careful reading and clear presentation of their workings. Through these exercises, students are encouraged to discuss their observations and preferences when comparing and ordering FDP, fostering a deeper understanding and efficient approaches to these mathematical concepts.