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G-2D-1-7

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

G.2D.1.7 Apply the properties of congruent or similar polygons to solve real-world and mathematical problems using algebraic and logical reasoning.

In a Nutshell

Students will apply the relationships between congruent polygons or similar polygons to solve mathematical problems and real-world problems.

Student Actions	Teacher Actions
Develop a Deep and Flexible Conceptual Understanding: Students will articulate the difference between similarity and congruence. Develop Accurate and Appropriate Procedural Fluency: Students will solve tasks by correctly setting up the needed ratios to solve similar figure. Develop Strategies for Problem Solving: Students will make conjectures, model, and generalize about their solutions to tasks involving similar and congruent figures.	Teachers will implement tasks that promote reasoning and problem solving by using real-word problems that require the use of similarity and congruence properties. Teachers will use and connect mathematical representations by presenting problems that require students to interpret diagrams for the needed information. Teachers will support productive struggle in learning mathematics by using real world tasks that connect similarity and congruence.
Key Understandings	Misconceptions
Students understand the difference between similarity and congruence. Students understand when two objects are congruent, all the corresponding measurements are equal. Students understand how to use ratios formed from similar figures to solve a variety of tasks. Students understand when working with similar figures, the ratio of perimeters is equal to the scale factor, the ratio of the areas is equal to the square of the scale factor.	Students forget to square the scale factor to get the ratio of areas. Students mix up corresponding sides when creating a proportion.