**Title:** Pythagorean Theorem: Prove It

**Description:**
During this lesson, eighth grade students will be introduced to the Pythagorean Theorem: a2+b2=c2. They will construct a right triangle on graph paper and draw squares on each side of the triangle.
**Standard(s): **

[MA2015] (8) 22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. [8-G7]

**Subject:**Mathematics (8)

**Title:**Pythagorean Theorem: Prove It

**Description:**During this lesson, eighth grade students will be introduced to the Pythagorean Theorem: a2+b2=c2. They will construct a right triangle on graph paper and draw squares on each side of the triangle.

**Title:** Pythagorean Theorem: Prove It (Part 2)

**Description:**
In this lesson, eighth grade students will use their new found knowledge of the Pythagorean Theorem and relate it to the world around them. They will work in cooperative groups to solve problems using the Pythagorean Theorem.
**Standard(s): **

[MA2015] (8) 22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. [8-G7]

**Subject:**Mathematics (8)

**Title:**Pythagorean Theorem: Prove It (Part 2)

**Description:**In this lesson, eighth grade students will use their new found knowledge of the Pythagorean Theorem and relate it to the world around them. They will work in cooperative groups to solve problems using the Pythagorean Theorem.

**Title:** Growing in a Triangle

**Description:**
Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and discuss three examples of the Pythagorean Theorem. Students apply knowledge of the Pythagorean Theorem to create a scale drawing of a plan to build a triangular raised bed garden for an outdoor classroom. Each group will present their plan to the class.
**Standard(s): **

[TC2] (3-5) 5: Practice safe use of technology systems and applications.

**Subject:**Mathematics (8), or Technology Education (K - 5)

**Title:**Growing in a Triangle

**Description:**Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and discuss three examples of the Pythagorean Theorem. Students apply knowledge of the Pythagorean Theorem to create a scale drawing of a plan to build a triangular raised bed garden for an outdoor classroom. Each group will present their plan to the class.

**Title:** Quilting With My Pal, Pythagoras!

**Description:**
In this unit lesson, students will learn about the Pythagorean Theorem and how it is evident in our everyday world. Students will apply the concept of the Pythagorean Theorem to the squares of a quilt. Each quilt square will be designed and crafted by a student. In the end, a beautiful quilt will be made with the help of Pythagoras himself!
**Standard(s): **

[HUM] ED03 (8) 13: Demonstrate basic sewing construction skills to complete a project.

**Subject:**Human Services (8), or Mathematics (8)

**Title:**Quilting With My Pal, Pythagoras!

**Description:**In this unit lesson, students will learn about the Pythagorean Theorem and how it is evident in our everyday world. Students will apply the concept of the Pythagorean Theorem to the squares of a quilt. Each quilt square will be designed and crafted by a student. In the end, a beautiful quilt will be made with the help of Pythagoras himself!

**Title:** Proofs into Practice: The Pythagorean Theorem in the Real World

**Description:**
The introduction of this lesson has students verifying the famous Pythagorean Theorem with a hands-on proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by determining whether three side lengths could possibly form a right triangle. Finally, students will choose one of two real-life applicataions to explore, using the Pythagorean Theorem.
**Standard(s): **

[MA2015] GEO (9-12) 21: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* [G-SRT8]

**Subject:**Mathematics (8 - 12)

**Title:**Proofs into Practice: The Pythagorean Theorem in the Real World

**Description:**The introduction of this lesson has students verifying the famous Pythagorean Theorem with a hands-on proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by determining whether three side lengths could possibly form a right triangle. Finally, students will choose one of two real-life applicataions to explore, using the Pythagorean Theorem.

**Title:** Understanding the Pythagorean Relationship Using Interactive Figures

**Description:**
The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example from Illuminations presents one dynamic version of a demonstration of this relationship. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
**Standard(s): **

[MA2015] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8-G8]

**Subject:**Mathematics

**Title:**Understanding the Pythagorean Relationship Using Interactive Figures

**Description:**The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example from Illuminations presents one dynamic version of a demonstration of this relationship. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Proof Without Words: Pythagorean Theorem

**Description:**
In this student interactive, from Illuminations, students watch a dynamic, geometric '' proof without words'' of the Pythagorean Theorem. By clicking on a button, students can see the theorem in action; they are then challenged to explain the proof.
**Standard(s): **

[MA2015] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8-G8]

**Subject:**Mathematics

**Title:**Proof Without Words: Pythagorean Theorem

**Description:**In this student interactive, from Illuminations, students watch a dynamic, geometric '' proof without words'' of the Pythagorean Theorem. By clicking on a button, students can see the theorem in action; they are then challenged to explain the proof.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8