Presentation on theme: "Polygons and Venn Diagrams"— Presentation transcript:
1 Polygons 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
2 Polygons 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…)
3 Venn Diagrams – a sample BoysClassGirlsLet the students make some sample with you in class on the board.
4 Assignment: 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.
5 The next slide will have a solution to the Venn Diagram Assignment.
6 Solution 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???