Percentages - Percentage of an amount (range of percent) - Worksheet

The worksheet titled "Percentages of an Amount (2)" is a comprehensive resource designed to enhance students' fluency and precision in calculating percentages of various amounts. The National Curriculum objective for this lesson is to solve problems involving the calculation of percentages, including those of measures and using percentages for comparison. To facilitate learning, differentiated sheets and teaching slides are provided. Students will learn to calculate percentages using different methods, such as finding 20% by dividing by 10 and multiplying by 2, or dividing by 5 to find 5% by halving 10%. The key vocabulary for this lesson includes terms like percentage, amount, fraction, calculation, and efficient, among others.

Students will practice finding percentages of numbers using bar models with missing values and using division methods to calculate percentages. The worksheet encourages students to explore multiple methods for finding specific percentages and to reflect on the efficiency of these methods. For example, they will consider whether dividing by 10 and multiplying by 5 is the most efficient way to find 50% or if there is a better strategy. Problem-solving questions prompt students to compare different methods, such as finding 35% of 60 and then 60% of 35, and to observe that the results are the same, which is a consistent pattern. This exercise not only reinforces their understanding of percentages but also develops their reasoning skills.