Pythagorean theorem

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

G 404. Find the length of the hypotenuse of a right triangle when only very simple computation is involved (e.g., 3-4-5 and 6-8-10 triangles) G 508. Given the length of two sides of a right triangle, find the third when the lengths are Pythagorean triples G 602. Use the Pythagorean theorem

G 404. Find the length of the hypotenuse of a right triangle when only very simple computation is involved (e.g., 3-4-5 and 6-8-10 triangles)
G 508. Given the length of two sides of a right triangle, find the third when the lengths are Pythagorean triples
G 602. Use the Pythagorean theorem

What you'll learn

Apply the Pythagorean theorem (a^2 + b^2 = c^2) to find the hypotenuse or a leg of a right triangle
Identify the hypotenuse as the longest side, opposite the right angle, and correctly assign it as c in the formula
Recognize common Pythagorean triples (3-4-5, 5-12-13, 8-15-17, 7-24-25) and their scalar multiples to solve problems without full computation
Use the converse of the Pythagorean theorem to determine whether a triangle with given side lengths is right, acute, or obtuse
Solve ACT-style multi-step problems where the Pythagorean theorem is an intermediate step (e.g., finding a diagonal, a height, or a ladder's reach)

Review first:

Classification by sides and angles

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Pythagorean theorem

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Practice

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Exercise

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