Quadrilaterals Mini- Lesson
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1 Quadrilaterals Mini- Lesson Students investigate and compare the characteristics of quadrilaterals. This activity helps students to: Identify the characteristics (equal side length, equal angle, lines of symmetry, order of rotational symmetry) of quadrilaterals Appreciate that some sets of quadrilaterals are subsets of other sets Preparation Print Quadrilaterals sheet one copy for each pair of students Print Quadrilateral characteristics sheet one copy for each student Print Venn Diagram A3 sheet one copy (or Venn Diagram A4 if A3 not possible) Optional: Print Quadrilaterals Answer sheet one copy for your reference Pairs of scissors one for each pair of students (for cutting out shapes) Method 1 Explain to students that they will be exploring the characteristics of four-sided shapes (i.e. quadrilaterals). Show students how to complete the column for shape 1 on the Quadrilaterals Characteristics sheet: 1. Define each characteristic as necessary [see Quadrilaterals Answer sheet]. 2 Go through the characteristics of shape 5 with the group, getting input from students: 5. Ask students to identify similarities and differences between the characteristics of shapes 1 and 5 and to then note these on their sheet. 3 In pairs, students complete the characteristics for shapes 2, 3 and 4 on their sheet, and then the table of similarities and differences. Students may find it useful to cut out shapes on the quadrilaterals sheet when working out the order of rotational symmetry. 4 Get students to share the similarities and differences they have identified for shapes 1 & 2 and shapes 2 & 3. Mention any characteristics not highlighted by students. 5 Students will now explore what subsets of quadrilaterals each shape belongs to. Briefly explain how to read the Venn Diagram [e.g. with all angles 90 o refers to the whole of the small oval on the right]. One at a time, invite students to place a shape (or draw them in pencil) in the correct region of the Venn Diagram. As each shape is placed, ask the group: Is that the best (i.e. most precise) place where the shape could go? If no, where should the shape go? After all shapes have been placed, ask questions about what is shown in the Venn Diagram, including: Which segment of the Venn Diagram is for squares? For rectangles? For rhombuses? For parallelograms? Label each segment as appropriate. Are rectangles types of parallelograms? Why? Are squares types of rectangles? Why? Are squares types of rhombuses? Why? Quadrilaterals ANSWERS 1/2
2 Characteristic Parallel Lines Equal sides Equal angles Lines of Symmetry Order of Rotational Symmetry Definition Lines that extend in the same direction and will never cross. Lines that are equal in length. Angles that fit on top of each other (the same size). A line of symmetry divides a shape into two parts that are the same. Number of times during a complete revolution that a shape appears identical to (looks the same as) its starting position Draw parallel lines Draw the equal sides Draw the equal angles Draw the lines of symmetry Order of rotational symmetry
3 Quadrilaterals ANSWERS 2/2 Similarities Differences Completed Venn Diagram Shapes 1 and 5 Shapes 1 and 2 Shapes 2 and 3 Opposite sides are parallel and of equal length Two lines of symmetry Order of rotational symmetry is 2 Shape 1 has four right angles. Shape 5 has two pairs of equal angles Four right angles Opposite sides are parallel Shape 1 has two pairs of equal sides. Shape 2 has 4 equal sides Shape 1 has 2 lines of symmetry. Shape 2 has 4 Order of rotational symmetry for Shape 1 is 2, for Shape 2 is 4 All sides in the shape are of equal length Opposite sides are parallel Shape 2 has four right angles. Shape 3 has two pairs of equal angles Shape 2 has 4 lines of symmetry. Shape 3 has 2 Order of rotational symmetry for Shape 2 is 4, for Shape 3 is 2 QUADRILATERALS PARALLELOGRAMS RHOMBUSES SQUARES RECTANGLES The sets that shapes 1-5 belong to: Shape 1 is a rectangle, parallelogram and quadrilateral Shape 2 is a square, rhombus, rectangle, parallelogram and quadrilateral Shape 3 is a rhombus, rectangle, parallelogram and quadrilateral Shape 4 is a quadrilateral Shape 5 is a parallelogram and quadrilateral
4 Quadrilaterals
5
6 Quadrilateral characteristics
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