Using discovery in geometry leads to better understanding. Today I am sharing a simple idea for discovering the algebraic rotation rules when translating a figure on a coordinate plane about the origin. This activity is intended to replace a lesson in which students are just given the rules. It doesn’t take long, but helps students to understand the correlation between the quadrants, the positive/negative ordered pairs, and the direction and degree of the rotation. It also allows them to discover the rules, which leads to increased engagement and deeper understanding.
(I usually have the students make their own manipulative in class, but if you are short on class time, you can prepare these ahead of time. Also, patty paper can be used in place of the transparency paper. These just seem to last and hold up better in their interactive notebooks.)
Once they have made their manipulative, they should work in groups or go through it together as a whole class discussion. I provide them with a table/graphic organizer to visualize the patterns, which leads them to a discovery of the rules.
Necessary cookies are absolutely essential for the website to function properly. This category only includes cookies that ensures basic functionalities and security features of the website. These cookies do not store any personal information.
Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. It is mandatory to procure user consent prior to running these cookies on your website.