Perimeter, Area and Volume - Shapes- Same Area - Worksheet

The educational resource from masterthecurriculum.co.uk provides a comprehensive worksheet focused on understanding the relationship between the area and perimeter of shapes, specifically targeting Year 6 students. The National Curriculum objective is to recognise that shapes with the same area can have different perimeters and vice versa. To facilitate this learning, the worksheet offers differentiated sheets and teaching slides. Key vocabulary such as 'shape', 'area', 'side lengths', 'factors', and 'rectilinear' are introduced, and students are tasked with finding and drawing rectilinear shapes with identical areas, using their knowledge of factors to explore rectangles with various side lengths.

Students are challenged with questions that deepen their understanding of area calculation, such as the importance of knowing times-tables and how factors can be used to determine rectangle dimensions with specific areas. The worksheet guides children through exercises to find all possible integer dimensions for rectangles with given areas, showcasing that a single area can be achieved through multiple combinations of side lengths. For example, a rectangle with an area of 10 cm² could have side lengths of 1 cm by 10 cm or 2 cm by 5 cm. The worksheet progresses in difficulty, with problems ranging from two solutions to many, encouraging children to explore and conclude when all possibilities have been found. Furthermore, the resource includes reasoning and problem-solving sections where scenarios are given, and students must deduce possible shapes based on provided clues, such as area and perimeter constraints, thus enhancing their analytical skills.