Square Roots & Pythagorean TheoremPythagoras, a Greek mathematician, developed a variety of theories including the Pythagorean Theorem. This theorem allowed Pythagoras to accurately measure the side length of right triangles. This has many applications, particularly within the world of design. Click on the image of the tree to the right to find a template to create your own Pythagorean tree.
Students will reflect on their understanding of triangle properties (grade 6) as well as the area of quadrilaterals (grade 7) to learn about square numbers. Students will investigate the are of squares in relation to their side length. These principles will be applied to right triangles to determine side length via the pythagorean theorem.
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Pre-Assessment Task
Look around the classroom to find and measure the following:
Measure the side lengths and areas of each of these squares and triangles.
- 3 Perfect Squares
- 3 Right Triangles
Measure the side lengths and areas of each of these squares and triangles.
- Determine the relationship between the side length of each square and their surface area (hint: this works best if your square has a side length that is a WHOLE NUMBER).
- Come up for a rule for this relationship
Understanding Squares
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"Square number" is the name given to a square based on it's area "Square root" is the name given to the side of a square Mini-Project: Square ImagesYour task is to create an image on blank or grid paper using squares. You must have 5 unique squares (different measurements) and measure them, identifying their square number, square root and whether or not they are a perfect square or non-perfect square.
Refer to your notes for the criteria YOU created as a class for marking. |
Pythagorean Triple and Triangle Properties
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Unit Project: Pythagorean Spiral
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