Pythagoras - Foundations

This math unit begins by helping students understand and use the Pythagorean theorem for calculating hypotenuse and other side lengths of right triangles using radical values. It progressively teaches them to solve Pythagorean equations from provided values or squares, initially focusing on radical forms and later introducing decimals for more complexity. As students move through the unit, they practice basic algebraic manipulations including solving for missing values and computing square roots from equation formats. The unit also strengthens foundational understanding of squares and square roots, starting from identifying perfect squares and approximating square roots, which serves as an essential precursor to effectively applying the Pythagorean theorem. This progression not only enhances students' abilities in handling equations and geometric concepts but also bolsters their number sense and estimation skills, fundamental to more advanced mathematical topics.