van Hiele Level 1 Materials: Each student needs: The three paper strips copied on card see page 3. stock, • One brass fastener • Scratch paper. • Two pieces of large construction paper per person • Task: This is a problem-based lesson, where the students will be discovering the properties of the various types • of quadrilaterals. Every type of quadrilateral has a unique diagonal relationship. Students will investigate diagonal relationships in the context of whether or not they are congruent to each perpendicular to other, each bisect each or intersect in the same ratio. other, other, The strips are intended to assist the students in creating all ofthe diagonal scenarios. • Students will connect two strips based upon a specific relationship. quadrilateral is formed by A joining the centers of the four end holes in consecutive order. The goal of this task is to determine the properties of diagonals that will produce different quadrilaterals. Investigation Goals: At the end of the investigation, students should be able to answer the following questions. Responses to these questions could make a good reference poster. What conditions produce parallelograms? • will What conditions produce rectangles? • will What conditions produce rhombi? • will What conditions will produce squares? • What conditions will produce a quadrilateral that is not a parallelogram or trapezoid? • • What conditions will produce trapezoids? Challenge: What conditions will produce an isosceles trapezoid, a non-isosceles trapezoid, and a • right trapezoid?
van Hiele Level 1 Materials: Each student needs: • The three paper strips copied on card stock, see page 3. • One brass fastener • Scratch paper. • Two pieces of large construction paper per person Task: • This is a problem-based lesson, where the students will be discovering the properties of the various types of quadrilaterals. Every type of quadrilateral has a unique diagonal relationship. Students will investigate diagonal relationships in the context of whether or not they are congruent to each other, perpendicular to each other, bisect each other, or intersect in the same ratio. • The strips are intended to assist the students in creating all ofthe diagonal scenarios. Students will connect two strips based upon a specific relationship. A quadrilateral is formed by joining the centers of the four end holes in consecutive order. The goal of this task is to determine the properties of diagonals that will produce different quadrilaterals. Investigation Goals: At the end of the investigation, students should be able to answer the following questions. Responses to these questions could make a good reference poster. • What conditions will produce parallelograms? • What conditions will produce rectangles? • What conditions will produce rhombi? • What conditions will produce squares? • What conditions will produce a quadrilateral that is not a parallelogram or trapezoid? • What conditions will produce trapezoids? • Challenge: What conditions will produce an isosceles trapezoid, a non-isosceles trapezoid, and a right trapezoid?
Quadrilateral_Kite_Designs.docx