If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.
You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

G-RT-1-2

Page history last edited by Brenda Butz 6 years, 3 months ago

G.RT.1.2 Verify and apply properties of right triangles, including properties of 45-45-90 and 30-60-90 triangles, to solve problems using algebraic and logical reasoning.

In a Nutshell

Students will recognize the special patterns formed between the relationships of the sides of 45-45-90 and 30-60-90 triangles and the Pythagorean Theorem. As a result short cut rules can be developed and applied to solve problems involving these special right triangles.

Student Actions	Teacher Actions
Develop a deep and flexible conceptual understanding: Students will interpret pictorial representations of special right triangles to determine application of appropriate algebraic formula. Develop accurate and appropriate procedural fluency: Students will apply special right triangle rules in both algebraic and real world situations. Develop strategies for problem solving: Students will analyze problems that are embedded with right triangle relationships.	Teachers will use and connect pictorial and verbal representations of triangles to the algebraic rules for solving special right triangles. Teachers will build procedural fluency from conceptual understanding by giving students hands on experiences with squares and equilateral triangles that are the basis for special right triangles. Teachers will pose purposeful questions that will encourage students to make connections between the concrete and the abstract relationships of special right triangles.
Key Understandings	Misconceptions
Students understand how to maneuver quickly through a problem’s solution when they recognize and can effectively use the relationships in special right triangles. Students understand how to apply the properties of special right triangles within a complex problem.	Students sometimes expect to see the special right triangle relationships in other right triangles. Students confuse which triangle relationship contains Students don’t understand when to multiply or divide when applying the special right triangle relationships Students don’t understand that these patterns are also found in equilateral triangles and its altitude as well as squares and their associated diagonal.