## MAthematics at Work 10 Pythagorean Theorem

**Specific Curriculum Outcomes**

**G02**Students will be expected to demonstrate an understanding of the Pythagorean theorem by identifying situations that involve right triangles, verifying the formula, applying the formula, and solving problems.

***Note that much of this outcome is a review of Grade 8 M01.*

## G02 Activities

**Pythagorean Theorem Water Demo video**- A video demonstrating the Pythagorean Theorem using water.

**Pythagorean Theorem. Right Triangle Check using Scratch**- A great video showing how you could use Scratch to create a program that checks to see if a triangle is a right triangle or not using the Pythagorean Theorem.

**"sPy"thagoras from Solve My Maths**- Take a square photograph, and chop it up in the exact proportions of a dissection proof, then get students to rearrange it to ‘prove’ the Pythagorean theorem. A simple idea, and one I’m sure has been usedf countless times before and since. James Bond Pythagorean Proofs, featuring six James Bond actors, and six different dissection proofs. A nice powerpoint is attached.

**Origami Proof of the Pythagorean Theorem video from Vi Hart**- Vi demonstrates how to fold a piece of square paper to prove the Pythagorean theorem.

**Tilted Squares from NRICH Math**- It's easy to work out the areas of squares drawn on a grid if they are oriented in the usual way. Can you find a quick and easy method to work out the areas of tilted squares? How many different sized squares could you create using a geoboard?

**Watson Save from Yummy Math**- In the 2005 AFC divisional football championship game between the New England Patriots and the Denver Broncos, Benjamin Watson stopped a touchdown in the last instant. He did this by running diagonally across the entire football field. Watch the video to see the play and listen to the commentary.

**Squares, Area & The Pythagorean Theorem from Lisa Bejarano**- An activity to find a square with vertices on the coordinate grid whose area is n square units or show that there is no such square. This activity is based on the Squares on a Coordinate Grid problem from Illustrative Mathematics.

- TV Space Task
**from Timon Piccini**- Will Mr. Piccini's new 40" LCD HD TV fit in the space he has available on the wall? You'll need to know about Pythagorean Theorem and the height to width ratio of an HD TV to find out.

**TV Screen Math**- Which is larger... a 32" standard definition TV or a 32" HDTV? Is an 80" really more than double the size of a 55" TV? What is the ratio for length to width for these two different types of TVs? Are you upgrading to a HDTV from an old TV? You should check out this info on screen size and ratio to make sure you aren't getting a smaller screen.