8th Grade
Unit 5: Geometry
Making Sense of the World Around You
Unit 5: Geometry
Making Sense of the World Around You
A. Consider a point somewhere in space.
This is point A:
This is point A:
. A
Define a point for yourself. Name it whatever you like. In math class, we usually use capital letters to name points. Go ahead, create a point.
A point has position. Where is your point in space? How would you describe it?
I am defining Point A as the lower left hand corner of my whiteboard.
A point has position. Where is your point in space? How would you describe it?
I am defining Point A as the lower left hand corner of my whiteboard.
The whiteboard is in Room 28 of New Brighton Middle School, 250 Washburn Ave.; Capitola, CA 95010. It has an elevation of 32 meters, or 105 feet. Latitude: 36.9788393. Longitude: -121.9474594, give or take a ten millionth.
Geometry is the language of space. We are describing the world we share. We are making sense of the space in which we live and move.
Let's define a second point: B. Let's define B as the upper left hand corner of my whiteboard.
Geometry is the language of space. We are describing the world we share. We are making sense of the space in which we live and move.
Let's define a second point: B. Let's define B as the upper left hand corner of my whiteboard.
How far is it from Point A to Point B? We'll be exploring this in Lesson 5.1, or Geometry in One Dimension: How Do We Find the Distance Between Two Points?
If I were to create a Triangle between Points A & B and a new point C (the lower right hand corner of my whiteboard), I could ask the question, "How many square feet of area does this triangle cover?" We'll be covering this in Lesson 5.2.
If I were to create a Triangle between Points A & B and a new point C (the lower right hand corner of my whiteboard), I could ask the question, "How many square feet of area does this triangle cover?" We'll be covering this in Lesson 5.2.
But we live in our lives in 3 dimensions, don't we? Our lives have depth.
Let's construct three more points, D, E, and F. Triangle DEF is created when we translate Triangle ABC across the room to the back wall. In doing this, we've created a 3 dimensional object: a triangular prism. Let's explore this more in Lesson 5.3.
Let's construct three more points, D, E, and F. Triangle DEF is created when we translate Triangle ABC across the room to the back wall. In doing this, we've created a 3 dimensional object: a triangular prism. Let's explore this more in Lesson 5.3.