Evaluating statements: consecutive sums
This resource requires problem solving using skills in forming and factorising expressions.
Students investigate the sum of four consecutive numbers. Initially this is done using numerical examples. There are a series of statements for students to classify as ‘sometimes true’, ‘always true’, or ‘never true’.
An evaluation is then made of algebraic methods of proving or disproving statements. The lesson assumes students have some familiarity with forming expressions.
Examples of student work are provided to allow for peer assessment and highlighting common misconceptions.
This is a problem solving lesson from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. Further information on the collection is given here.