Reflection: Diverse Entry Points Proving Properties of Special Parallelograms - Section 2: Guided Practice

While the resource for this section is has blanks for students to fill in, there are multiple correct answers that can be used to fill in the blanks. Teaching this lesson several times now has taught me to be prepared for these and also to be on the lookout for students who share some of the alternative solutions.

For example, when proving that the diagonals of a rhombus each bisect a pair of opposite angles, students have chosen at least two options for which pair of triangles to prove congruent. One pair requires them to use reflexive property (a relatively simpler proof) and the other requires using the fact that diagonals of a parallelogram bisect each other.

During the share out, I make sure to bring out these options and their comparative merits. Then I ask students to discuss which they prefer and why. In general, in these discussions I emphasize that there are always multiple pathways and that we should be aware of our options and strategic in making our choices.

Multiple Pathways
Diverse Entry Points: Multiple Pathways

Proving Properties of Special Parallelograms

Lesson 4 of 8

Big Idea: No doubt about it...in this lesson students positively prove the properties of special parallelograms.

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Standards:
Subject(s):
Math, Geometry, quadrilaterals, reasoning and proof, special parallelograms
125 minutes

Anthony Carruthers

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