Polygons in the Coordinate Plane
What Are Polygons? Look around you; you see different objects with different shapes. Some are perfectly equal while others are peculiar. Pick a square. Can you see how its lines are equal and closed at every end? Now take a rectangle or a triangle. They all have equal sides and closed ends. They are called polygons. In simple words, any flat figure that is enclosed, made of straight lines, has more than three sides and has many angles is known as a polygon. The sides are identified with the name the polygon has been given. For example, a triangle is a 3-sided polygon. A square is a 4-sided polygon. A pentagon has 5-sides, a hexagon has 6-sides and so on. Like many other shapes, polygons can be regular and irregular. Regular Polygons - When the sides in a polygon are equal, and the number of angles is equal to the number of lines, it is called a regular polygon. Irregular Polygons - But when a polygon's sides don't match, and the angles are not the same, the polygon is known as an irregular polygon.
Aligned Standard: Grade 6 Geometry - 6.G.A.3
- Find a Point Step-by-step Lesson- You're given three points of a rectangle. You are asked to find the fourth point using a grid.
- Guided Lesson - We take this skill and now apply it to maps.
- Guided Lesson Explanation - I talk you through this one. I started by drawing it, but realized the grids we not big enough to do it that way.
- Practice Worksheet - Five pages of walk thoroughs with this one. The skill is covered well.
- Area of Shapes on a Coordinate Grid Five Pack - Use the coordinates to help you solve these.
- Matching Worksheet - I never knew how much information you could learn from just four points on a grid.
- Area of Polygons and Circles Worksheet Five Pack - Go crazy with this gathering of triangles and rectangles.
- Answer Keys - These are for all the unlocked materials above.
We start with an outline and find the distance between points. We then bring it to life by making them real.
- Homework 1 - If the points on the coordinate plane below are the three vertices of a rectangle, coordinate the fourth vertex.
- Homework 2 - How do you know? What are the length and width of the rectangle?
- Homework 3 - Find the area of the given figure.
I purposely threw perimeter in here to help the kids focus on the distance between the points and its meaning.
- Practice 1 - Represent the locations as points on a coordinate grid with a unit of 1 mile. What shape might you make if you connect the points on the grid?
- Practice 2 - Find the area of the shape formed. Find the perimeter of the shape formed.
- Practice 3 - Which shape forms between these four icons?
Math Skill Quizzes
These cover a vast number of skills and cross over several standards.
- Quiz 1 - If the points on the coordinate plane below are the three vertices of a rectangle, find the fourth vertex.
- Quiz 2 - What shape might you make if you connect the points on the grid? Approximate the area.
- Quiz 3 - A football field is rectangular. The football field is 20 feet wide and 30 feet from goal line to goal line. What is the area of the football field?