Fruit Pies

In this Bowland task, students are presented with the problem of finding how many circular pie tops and bottoms they can cut from a rectangular sheet of pastry. Students are given the diameter of the top and bottom of the pies, which are different, and the initial size of the sheet of pastry. There is an added twist to this problem as students can take the left over pastry and make a second sheet of pastry from which further tops and bottoms can be cut. Students are required to break down the problem into smaller steps, use logical reasoning, perform accurate calculations and communicate their findings effectively. Teacher guidance includes concepts which may be discussed with students, examples of probing questions which may be useful and assumptions that students need to make when completing the task. The assessment guidance consists of a progression table detailing how students may improve in each of the key processes. The resource concludes with a number of examples of students' work, together with comments, probing questions and feedback.