Presentation on theme: "Polygons and Venn Diagrams"— Presentation transcript:
1Polygons and Venn Diagrams A GEMS/ALEX Submission as part of a larger lesson “Relationships of Polygons: An in-depth investigation to foster mathematical thinking “Submitted by: Elizabeth Thompson, PhD.Summer, 2008
2Polygons 2 9 14 20 27 35 Name Number of sides/angles and vertices DiagonalsTriangle3Polygon42Pentagon5Hexagon69Heptagon714Octagon820Nonagon27Decagon1035Give drawn example of a polygon and its diagonals.Have students identify the pattern for the diagonals ( ….etc…)
3Venn Diagrams – a sample BoysClassGirlsLet the students make some sample with you in class on the board.
4Assignment: Create a Venn Diagram using the four sided polygons & their characteristics A parallelogram has two parallel pairs of opposite sides.A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram.A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.Trapezoids only have one pair of parallel sides. It is not a parallelogram.Kites- two pairs of adjacent sides that are equal.Keep this up while students work on their Venn Diagrams and/or print one slide and assign as Homework/Lab assignment on Paint.
5The next slide will have a solution to the Venn Diagram Assignment.
6Solution All Quadrilaterals Parallelograms Trapezoids Rhombus Squares rectanglesClick for Kite placement.If you like you can work on this with the students by having object ‘fly-in’…simply reformat the PowerPoint.Kites can be a rhombus or a square, but are not parallelograms…its hard to place the kite.What about Kites???