Grade 8

8.7 Square Roots, Irrational Numbers, and Pythagorean Theorem

Students consider square roots as the inverse of squaring and explore square-to-root relationships in terms of the area and side length of a given square. This work encourages a closer look at the magnitude of numbers, their position on the numberline, decimal expansion, rational numbers, and subsequently at the idea of irrationality. Students explore the reasonsing of the Pythagorean Theorem and use it to solve real-world problems.