Unit 10: Number System and Pythagorean Theorem
Duration of Days: 18
The difference between rational and irrational numbers and how to approximate irrational numbers on a number line.
The definition of the Pythagorean Theorem and its converse.
How to identify the relationship between the legs and the hypotenuse of a right triangle.
The properties of square roots and cube roots.
Convert repeating decimals into rational numbers and vice versa.
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles and find the distance between two points in a coordinate system.
Evaluate square roots of small perfect squares and cube roots of small perfect cubes.
Explain a proof of the Pythagorean Theorem and its converse.
Solve real-world and mathematical problems involving three-dimensional figures and right triangles.
Module 8 End-of-Unit Assessment
Performance Task
IAB blocks related to The Number System and Geometry
| Lesson # | Lesson Title | Duration of Days |
|---|---|---|
| 1 | Rational & Irrational Numbers | 3 |
| 2 | Square and cube roots | 3 |
| 3 | Pythagoren Theorem | 5 |
| 4 | Applications of the Pythagorean Theorem & Real-Number Analysis | 5 |
| 5 | Review and Assess | 2 |