Bucknell University – UBD Lesson Plan

Perimeter and Area of Similar Figures

Teacher_Nathaniel Nauman__________ Grade__9th and 10th___________

Date_Feb. 11, 2013__________________	Subject__Geometry____________

Stage 1- Desired Results
Established Goals: G G.2.2.2.1 – Estimate area, perimeter, or circumference of an irregular figure.
Understandings: U Students will understand … how to calculate the ratios of the area and perimeter of similar figures why the ratios of the area and perimeter of similar figures is valuable how the area and perimeter of similar figures can be calculated by using ratios	Essential Questions: Q What is the ratio of the area and perimeter of similar figures? How are these values calculated? How can this knowledge be applied in the real world?
Student will know…. K how to identify similar figures the way to calculate the ratio of the areas and perimeters of similar figures	Student will be able to… S calculate the ratios of the area and perimeter of similar figures calculate the side of a polygon when given the perimeter or area of two similar polygons, and the side of the other polygon
Stage 2- Assessment Evidence
Performance Tasks: T Calculate the actual area of a building given its actual perimeter and the scaled down, blueprint version of the buildings perimeter and area.	Other Evidence: OE Focus question, practice problems throughout the lesson, various questions and homework problems.
Self-Assessments	Other Evidence, Summarized
Stage 3 Learning Plan
Learning Activities: L Start lesson with a focus question handout that students will need to work on and answer. Then work through the PowerPoint Slides. These slides begin by making students think about what it actually means for two figures to be similar, with the teacher explaining and questioning as necessary. This lesson then moves into explaining why finding the ratio of two similar figures can be useful in real life. After this explanation the lesson’s PowerPoint jumps right into a practice problem where students calculate the ratios of the perimeter and the area of the provided rectangles. After this comes an explanation about how the ratios of the perimeters and areas of similar polygons are related to ratio of the lengths of corresponding sides on similar polygons. After this there is more practice problems where students calculate the ratios of the perimeter and area of the similar polygons provided. Then there is another practice problem that emphasizes how the ratios of perimeters or areas can be used to calculate the measure of a missing side if the perimeter or the area is provided for both rectangles. Finally there is an application problem involving blueprints for a building where the students are asked to calculate the actual area of the building. Finally, confirm understanding of the material and then handout homework assignment papers. Extension: Draw similar polygons on the White Board and write necessary information for students to work on problems, which are lengths, perimeters or areas. Resources: White Board, Markers, White Board Erasers, SmartBoard, Projector, PowerPoint Slides, Focus Question Handouts, and the homework assignment papers.