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- 8.G.B.6Explain a proof of the Pythagorean Theorem and its converse.
- 8.G.B.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
- 8.G.B.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Using the Pythagorean Theorem to Solve by Diagram

8th Grade Math

» Unit:

Pythagorean Theorem

Big Idea:Moving students from hands-on Pythagorean Theorem to drawing diagrams to solve for missing sides continues the concept of why and how the equality works.

Dig In! Day 2

Geometry

» Unit:

Tools of Geometry

Big Idea:What's true about the area and perimeter of our polygons from Part 1? To find out: Dig in!

Solving the Pythagorean Theorem By Diagram Completed

8th Grade Math

» Unit:

Pythagorean Theorem

Big Idea:Moving students from hands-on Pythagorean Theorem to drawing diagrams to solve for missing sides continues the concept of why and how the equality works.

Apply the Pythagorean Theorem to a Broken Telephone Pole and an Isosceles Right Triangle.

Algebra I

» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The purpose of this lesson is to solve a multi-step problem using the Pythagorean Theorem and understand when to apply it.

The Pythagorean Theorem and the Distance Formula

Algebra I

» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The main point of this lesson is for students to recognize the similarities between the Pythagorean Theorem and the Distance Formula.

Playing Around with Pythagoras-Day 1

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:After a brief introduction, students will explore the Pythagorean relationship with color tiles and then apply that understanding by reconstructing a Pythagorean proof.

Playing Around with Pythagoras-Day 2

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Simple, whole number computations to determine the missing lengths of the hypotenuse of given triangles helps students gain confidence in applying the Pythagorean Theorem.

Playing Around with Pythagoras- Day 11

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Students get practice applying the Pythagorean Theorem to solve problems in this fast-paced collaborative game.

Playing Around with Pythagoras- Day 9

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Now that students are developing proficiency with applying the Pythagorean Theorem to solve problems, they are now ready to apply their conceptual knowledge to a coordinate plane.

Playing Around with Pythagoras- Day 3

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Now that students have practiced finding the length of missing hypotenuse, I introduce triangles with missing legs instead.

Playing Around with Pythagoras- Day 4

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Students have spent several days applying the Pythagorean Theorem to find the missing sides of right triangles. Today, students are given triangles with all three side lengths given and they must prove whether the triangle is right or not.

Playing Around with Pythagoras- Day 10

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:In this lesson, students are introduced to a real-life application of the Pythagorean Theorem and must use it to justify their decisions.

Missing a Leg (Day 1)

8th Grade Math

» Unit:

The Pythagorean Theorem

Big Idea:The Pythagorean equation is skillfully used to find missing sides that are not the hypotenuse.

Playing Around With Pythagoras- Day 5

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Today, students will learn to estimate the lengths of unknown sides of right triangles by using their knowledge of perfect squares.

Playing Around with Pythagoras-Day 6

8th Grade Math

» Unit:

Playing Around with Pythagoras

Big Idea:Building on previously built knowledge of Pythagorean Theorem, students will use a double number line to estimate square roots to the nearest tenth.

8.G.B.6

Explain a proof of the Pythagorean Theorem and its converse.

8.G.B.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.