Introduction
Notice the lift in the picture. The lift is called a scissor lift. Go to the 7.03 Lifts Discussion and answer the following questions about what you think will happen to the angles formed by the quadrilateral as the workers go up or down. Respond to two other student's response.
- Notice there are two sets of parallel sides in each extension. Can you describe what happens to angles as the workers elevate to the top?
- What about when he comes down or descends?
Check out another tool at GeoGebra: The Pantograph. It works similar to the scissor lift with just one quadrilateral for extra help.
Following successful completion of this lesson, students will be able to...
- Investigate, identify, and use properties of parallelograms
Essential Questions
- What are the differences and similarities between squares, rectangles, and rhombi?
- How are parallelograms, kites, and trapezoids different?
- How can you use coordinates to find perimeters and areas of quadrilaterals in the coordinate plane?
- How does the sum of the interior angles of a triangle relate to the sum of the interior angles of polygons?
Enduring Understandings
- Polygons can be classified using properties of sides and angles.
- There is a relationship between the number of sides of a polygon and the sum of its interior angles.
- Each type of quadrilateral has properties that make it unique.
- We can use known properties to verify if a quadrilateral is a parallelogram.
- Different types of quadrilaterals have their own unique properties.
- The two bases of a trapezoid are formed by parallel lines.
- Different types of quadrilaterals have their own unique properties.
- Coordinates can be used to compute perimeter and area of quadrilaterals.
The above objectives correspond with the Alabama Course of Study: Geometry with Data Analysis standards: 29, 29a, 29b, 31c, and 36.