Bucknell University – UBD Lesson Plan

Areas of Trapezoids, Rhombuses, and Kites

Teacher_Nathaniel Nauman__________ Grade__9th and 10th____________

Date_Feb. 7, 2013___________________	Subject__Geometry____________

Stage 1- Desired Results
Established Goals: G G.2.2.2.3 – Find the side lengths of a polygon with a given perimeter to maximize the area of the polygon.
Understandings: U Students will understand … how to calculate the area of trapezoids, rhombuses, and kites why the area of each of these shapes are calculated the way that they are calculated	Essential Questions: Q What is the area of a trapezoid, rhombus, and kite? How are these areas calculated? How can this knowledge be applied in the real world?
Student will know…. K the area formulas for trapezoid, rhombus, and kite	Student will be able to… S calculate the area of a trapezoid, rhombus, and kite when given the bases and height or the diagonals of an object, respectively calculate the bases or height of a trapezoid, or the diagonals of a rhombus or a kite when given the area of the object
Stage 2- Assessment Evidence
Performance Tasks: T Calculate the area of a real kite when the lengths of the two diagonals are known.	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 the lesson with a focus question on a PowerPoint slide that will be up when students walk into the classroom. Work through this question and ask students questions along the way to confirm student understanding of previously learned material. Then start teaching new material by asking students to identify which of the three shapes on the slides are a trapezoid, rhombus, and kite, respectively. After identifying which shape is which, I will ask students to explain what the defining characteristics are of each shape and identify/clarify/explain as the need arises. Then move on to explaining how the area of a trapezoid is calculated. Once students understand how to calculate this area, move on to some example problems where students can calculate the area of a trapezoid and the bases of another trapezoid when they are only given its height and area. Then move on to explaining how to calculate the area of a rhombus and the area of a kite. Then have the students work on some practice problems where they can calculate the area of a rhombus and find the diagonals of a kite when given its area. Once everyone understands how this was done, move on to a final application problem where students can calculate the area of a kite when given the lengths of its two diagonals. Confirm understanding and then handout homework assignment papers and tell students that they are going to have a quiz on this material and the 11.1 material the next day. Extension: For a scalene trapezoid, how might you calculate the base of one “triangle” in the trapezoid when given both of the bases, the height, and base of the other “triangle” in the trapezoid? Resources: White Board, Markers, White Board Erasers, SmartBoard, Projector, PowerPoint Slides, Focus Question Handouts, and the homework assignment papers.