Some numbers can be written as a sum of consecutive positive integers, for example:
6 = 1 + 2 + 3
In small groups, find all numbers from 1-100 that can be written as a consecutive sum. Look for patterns as you work. Conjecture which numbers can and which cannot be expressed as a consecutive sum. How can some of the sums be used to find others?
15 = 4 + 5 + 6
= 1 + 2 + 3 + 4 + 5
Consider the following modifications for learners who need additional support, including English learners and students with special needs:
- Discuss what consecutive means by giving an example and a non-example
- Discuss other terms students might not understand, such as "conjecture" and "look for patterns"
- Provide base 10 blocks for students to make the sums manipulatively
Ensure any modification does not reduce the cognitive demand of the task.