(3, 4, 5), (5, 12, 13), (7, 24, 25) and (9, 40, 41) are called Pythagorean Triples because they satisfy the condition c2 = a2 + b2
In this task, you will investigate these, and other Pythagorean Triples
Mathematical Content Standards
This task asks students to select and apply mathematical content from across the grades, including the content standards:
- 8.G: Understand and apply the Pythagorean Theorem.
- H.A-CED: Create equations that describe numbers or relationships
Note: These references are provisional: we are still developing our critera for consistently linking individual tasks to the CCSS.
Assessment Task Type
- Expert Rich, less structured tasks requiring strategic problem-solving skills as well as content knowledge.
The task types indicate the breadth and depth of CCSS mathematical practices assessed by the task. Novice tasks involve only MP2 and MP6 and do so at a low level. Apprentice tasks add MP3 and MP7 but, because of the guidance within the task, do so at a comparatively modest level. Expert tasks aim to cover the full range of practices.
Note: these task types offer a guide as to how tasks relate to the mathematical practices. We are currently considering whether referencing the specific practices relating to each task would be useful or appropriate.