Measurement Length and Perimeter - Perimeter on a Grid - Worksheet

The worksheet "Perimeter on a Grid" is designed to enhance the fluency and precision of students in measuring and calculating the perimeter of rectilinear figures, which include shapes with sides that meet at right angles such as squares. The National Curriculum objective is to measure and calculate the perimeter in both centimetres and metres. To facilitate learning, the worksheet provides differentiated sheets, teaching slides, and 1cm squared paper. Key vocabulary such as 'perimeter', 'rectilinear shapes', and 'length' are highlighted. Students are encouraged to calculate the perimeter by counting squares on the grid, labelling the lengths of sides, and adding them together. The worksheet includes a series of rectilinear shapes with varying levels of complexity and asks students to determine their perimeters. Additionally, the worksheet challenges students to explore the concept further by drawing shapes with specified perimeter conditions, such as the same perimeter, a perimeter 3cm longer, or a perimeter that is double the length of another.

To deepen understanding, the worksheet also incorporates reasoning and problem-solving tasks. Students are tasked with designing patio layouts using a given number of 1m square paving stones, with the objective of creating designs that yield either the shortest or longest perimeter possible. They must ensure that the stones are connected at least one edge corner to corner. Answers for the perimeters of given shapes are provided, ranging from 14cm to 28cm, and for patio designs, the shortest perimeter is 14m in a 2x5 arrangement or a 3x3 square with one additional stone. For the longest perimeter, the worksheet suggests a length of 34m. The worksheet also invites students to creatively explore other rectilinear shapes, such as letters that can be drawn without diagonal lines, and compare their perimeters. This comprehensive approach to learning about perimeters on a grid aims to solidify students' measurement skills in a practical and engaging manner.