Unpacked Content
Knowledge
Students know:
- Pythagorean Theorem.
- Operations and labeling within a coordinate system.
Skills
Students are able to:
- Solve equations involving one variable and square root.
- Represent real-world and mathematical contexts involving right triangles in a variety of formats (e.g., drawings on coordinate planes, equations).
- Justify solutions and solution paths using conceptual understandings and vocabulary related to the Pythagorean Theorem (right angle, hypotenuse).
Understanding
Students understand that:
- The properties of right triangles can be used to solve problems,
- Theorems represent general relationships that are true for all shapes that fit certain criteria.
Vocabulary
- Pythagorean Theorem
- Right triangle
- hypotenuse
- leg
- Coordinate plane
- ordered pair