Magic Sum Puzzle

In this Bowland assessment task, students solve a puzzle known as a magic sum, in which the numbers 1 to 7 have to be placed in a grid such that both lines of numbers add to the same total. Students have to choose a logical way to solve the puzzle, make a conjecture then attempt to justify it. Students form convincing arguments, formulate proofs 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.