The two skills of simplifying roots and rationalizing denominators are essential to students understanding of algebraic solutions going forward.
This mission is aligned with Common Core State Standards: 8.NS.A.2, HSN.RN.A.2.
The Fun Stuff:
I think we're gonna need a bigger boat. If your new sailboat is 4 times as long as your old one, it only goes roughly twice as fast. That's the root of the problem! Students explore rooting as the inverse of exponentiation, then get on board a boat to explore the impact of rooting. Approximation and extensive practice simplifying roots are part of the deckhand duties! Interesting mission!
The zip file includes:
★The mission. (10 pages).
★A two-page Quick Start guide for teachers. Detailed and helpful!
★Selected Answers in pdf form.
★Selected Answers online, password protected. For students to correct at home!
The mission includes:
•Squaring and rooting of a variety of number types.
•Real-world application of rooting to see the impact.
•Perfect powers, approximation, and simplification.
•Rationalizing the denominator.
•Carefully crafted practice problems.
Check my awesome bundles as well! Engaging, entertaining and effective:
The Incomparable Number Sense Bundle from Courage To Core
The Excellent Expressions and Equations Bundle from Courage To Core
The Exhilarating Linear Functions Bundle from Courage To Core
The Daring Data and Statistics Bundle from Courage To Core
About Courage To Core:
We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks!