Lesson 4: 1-6: Two-Dimensional Figures

1. From which theorem do we derive the Distance Formula?
2. How are the formulas for the perimeters and areas of rectangles and squares related? How do you think this reflects how rectangles and squares are related?
3. Why does the order of subtraction not matter in the Distance Formula?

Polygon
Vertex of a Polygon
Concave
Convex
n-Gon
Equilateral Polygon
Equiangular Polygon
Regular Polygon
Perimeter
Circumference
Area

G.GPE.7
Use the coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula

https://docs.google.com/document/d/1zq0M4k71wKerXCRC7RRT03j2PjfmBImlaTgUCbpHxkw/copy?usp=sharing

A polygon is a closed figure formed by a finite number of coplanar segments. The perimeter of a polygon is the sum of the lengths of its sides. The circumference of a circle is the distance around the circle. The area is the number of square unites required to cover a surface.
Mathematically proficient students make sense of the relationship between quantities in problem situations.

Mosaics are patterns of pictures created using small bits of colored glass or stone. They are usually set into a wall or floor and often make use of polygons.

Students should be aware that estimating circumference and area of a circle by using 3.14 for pi instead of the pi button on the calculator may result in significantly different answers.

Students approaching grade level can be given practice problems in small groups to work with other students or directly with the teacher, using manipulatives to make connections between concrete shapes/figures and the formulas.
Students beyond grade level can make deeper connections in the following way: students can work together to determine how much paint would be needed to paint the walls of the classroom.

Formative Assessment

Textbook in class

Access online textbook and resources through class link.