21

¥Goals: Finding and understanding patterns

¥*Questions such asÉ

–Is it possible to write 42 as the sum of three
consecutive integers?(Yes,*42 = 13 + 14 + 15*)

–Which numbers can be written as the sum of four consecutive integers?

¥*10 = 1 + 2 + 3 + 4*

¥*14 = 2 + 3 + 4 + 5*

¥*18 = 3 + 4 + 5 + 6*

¥*22 = 4 + 5 + 6 + 7*

*Taken from: Driscoll,
Mark. Fostering Algebraic
Thinking: A guide for Teachers Grades
6-10. Portsmouth, NH: Heinemann, 1999, p. 79.