- One possible integration is to have the students explore this website and the house designs further.
- http://www.trendir.com/house-design/
- Then they can actually work to design their own home using parallelograms.
- Students can draw this out on grid paper or on plain paper.
- The key element or focus of the home must be the parallelogram.
- Have students share their work with their peers.
IV.NotesonAssessment
- Assessment is completed through observation.
- Walk around and participate in student groups as they look at the different elements of the house that they
have been given. - Examine each house design.
- Is the key element a parallelogram?
- Provide students with feedback on their work.
Proving Quadrilaterals are Parallelograms
I.SectionObjectives
- Prove a quadrilateral is a parallelogram given congruent opposite sides.
- Prove a quadrilateral is a parallelogram given congruent opposite angles.
- Prove a quadrilateral is a parallelogram given that the diagonals bisect each other.
- Prove a quadrilateral is a parallelogram if one pair of sides is both congruent and parallel.
II.Cross-curricular-Drama
- Assign students the task of creating a skit to prove that a quadrilateral is a parallelogram.
- Begin this lesson by reviewing the different characteristics that make a quadrilateral a parallelogram.
- The synopsis of the skit is “Mr./Ms. Quadrilateral needs to prove that he/she is a parallelogram. He/she has
selected Geo Geometry to prove the case.” - Then let the students go to work.
- They can use props, scenery (simple) and costumes.
- Allow time for them to write a skit and rehearse it.
- Then the students need to be given time to perform their skit.
III.TechnologyIntegration
- Students can explore the properties of a parallelograms with the following website.
- http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/interactive-parallelogram.php
- On this website, there is a place where it lists the criteria for proving that a quadrilateral is a parallelogram.
- Then it also has an interactive part where you can click and drag the vertices of the parallelogram to alter the
side lengths, angle measures, etc. - The numbers change instantly on the screen as you move the vertices around.
- A great interactive site to work with.
IV.NotesonAssessment
- Assess each skit.
3.6. Quadrilaterals