Pythagorean Theorem with Decimals - Intro

This math unit begins with focusing on the application of the Pythagorean theorem to solve for missing side lengths in right triangles. Students start by addressing squared values and progress to tackling integer values, reinforcing their understanding of squaring numbers, extracting square roots, and algebraic manipulations. As the unit advances, the emphasis shifts to perfect squares. Students identify perfect squares above, below, and between given numbers, enhancing their recognition and calculations of squares, essential for understanding square roots and their relationships. Further into the unit, the focus broadens to approximating square roots between perfect square roots and integers, preparing students for more complex estimations. The problems intensify as they incorporate decimals, requiring precise calculations and deeper understanding of the geometric relationships in triangles. By the end, students handle more complex scenarios using decimals and radicals, requiring careful computation and selection of approximate values, reinforcing a comprehensive grasp of the Pythagorean theorem along with foundational geometry and algebra skills.Skills you will learn include:

• Pythagorean theorem
• Approximating square roots
• Solving sides to decimals