Area of quadrilaterals and polygons

The topic  is a topic under the 6th Grade Math Mission. This exercise uses the various area formulas to answer problems.

Types of Problems
There are three types of problems in this exercise:


 * 1) Find the area of the shape on the grid: This problem has a polygon placed on a grid. The student is asked to find the area of the polygon and write it in the space provided.Aoqap1.png
 * 2) Find the area by breaking the shape: This problem has a complex polygon that can be clearly split into several simpler polygons such as rectangles and triangles. The student is asked to find the total area and write it in the space provided.Aoqap2.png
 * 3) Compare the shapes: This problem has a given polygon with a fixed area and several other polygons. The student is asked to select which of the polygons has the same area as the given polygon.Aoqap3.png

Strategies
Knowledge of area formulas, especially rectangle and triangle, are needed to complete this exercise.
 * 1) The area of a rectangle is base times height, and the area of a triangle is half that.
 * 2) On the grid, find the area of the overall rectangle that can be constructed around the polygon, then subtract by the right triangles that are removed in each "corner."
 * 3) On the Compare the shapes problem it is possible to break apart the given polygon and maneuver it to look like the correct answer. This geometric view can increase ability to work with the shapes.