Pythagoras - Foundations

Unit 1

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.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

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Learning through Game Play

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This math topic focuses on utilizing the Pythagorean theorem to find the radical (square root) of one side of a right triangle...

This math topic covers the application of the Pythagorean theorem to solve for missing side lengths in right triangles, specifically...

This math topic practices solving for missing lengths in right triangles using the Pythagorean theorem. Specifically, it...

This math topic focuses on calculating the square roots of perfect squares and is a part of an advanced exponents unit. Each...

This math topic focuses on identifying square roots of perfect squares within the context of equations. It is aimed at advancing...

This math topic focuses on comparing squares of integers, specifically determining if a perfect square is less than, greater...

This math topic focuses on calculating perfect squares, enhancing skills related to identifying and solving square values...

This math topic focuses on identifying and representing perfect squares using squared integers. Students practice finding...

This math topic focuses on practicing the Pythagorean theorem by solving for the missing hypotenuse, denoted as 'c', in a...

This math topic focuses on applying the Pythagorean theorem to find the hypotenuse of a right triangle, expressing the results...

This math topic focuses on applying the Pythagorean theorem to find the length of the hypotenuse of a right triangle, with...

This math topic focuses on using the Pythagorean theorem to find the length of the hypotenuse of a right triangle, expressed...

This math topic focuses on calculating square roots of perfect squares. Learners practice finding square roots for a variety...

This math topic focuses on identifying the integers that, when squared, result in given perfect squares. It is an introductory...

This math topic focuses on comparing perfect squares to integers using relational symbols (less than, greater than, or equal...

This math topic focuses on identifying and expressing perfect squares in the form of squared integers. It targets conceptual...

This math topic focuses on calculating perfect squares. It involves finding the square of given whole numbers, such as 2,...

This math topic focuses on practicing the Pythagorean theorem by solving for the length of the hypotenuse ('c') in right...

This math topic focuses on using the Pythagorean theorem to calculate the hypotenuse of a right triangle. The problems specifically...