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Curipod generated lesson: "Points, Lines, and Planes". #8-10

Updated 3 months ago

1. Word cloud

120 seconds

Name three basic shapes in geometry.

2. Slide

60 seconds

Name lines, rays, and segments. Determine the intersection of two planes. Work with collinear and coplanar points.

Learning objective:

3. Slide

60 seconds

Point: A location in space with no dimensions. It has no length, breadth, or height. Line: A one-dimensional figure that extends infinitely in two directions. It has length, but no width or height. Plane: A two-dimensional figure that extends infinitely in two directions. It has length and width, but no height.

Concepts:

4. Slide

60 seconds

In geometry, the shortest distance between two points is a straight line, but the longest distance is a zigzag line. The plane is a two-dimensional surface that extends infinitely in every direction.

Did you know?

5. Slide

60 seconds

Ways to Name Things

You can represent a point by a dot and name it by a capital letter, such as A.

6. Slide

60 seconds

Collinear Points: Points that lie on the same line. Coplaner: Points and lines that lie in the same plane. All points on a line are also coplaner.

Concepts:

7. Slide

60 seconds

Ways to Name Things

You can name a line by any two points on the line, such as AB (read “line AB”) or BA, or by a single lowercase letter, such as line l.

8. Slide

60 seconds

Ways to Name Things

You can name a plane by a capital letter, such as Plane P, or by at least three points that do not lie on the same line, such as Plane ABC.

9. Open question

180 seconds

Work together in pairs: What is the difference between a line and a line segment?

10. Open question

180 seconds

Work together in pairs: What is the definition of a line segment and how is it different from a ray?

11. Open question

210 seconds

What do you think opposite rays look like?

12. Slide

60 seconds

Postulates are statements that are accepted as true without the need for proof or evidence. These statements are the basis of a logical argument. Axioms are self-evident truths that are accepted as the basis of an argument. These truths are assumed to be true and do not have to be proven. A logical argument is an argument based on facts, postulates, and axioms that leads to a conclusion. This conclusion is typically based on logical reasoning and valid evidence.

Concepts:

13. Slide

60 seconds

Postulate 1-1

Through any two points there is exactly one line.

14. Slide

60 seconds

Postulate 1-2

If two distinct lines intersect, then they intersect in exactly one point.

15. Slide

60 seconds

Postulate 1-3

If two distinct planes intersect, then they intersect in exactly one line.

16. Slide

60 seconds

Postulate 1-4

Through any three noncollinear points there is exactly one plane.

17. Personalised Feedback

360 seconds

How are points, lines, and planes related in geometry?

18. Poll

60 seconds

What is the definition of a line?

- A straight path that extends infinitely in both directions
- A collection of points
- A curved shape

19. Poll

60 seconds

How many points are needed to uniquely determine a line?

- Three points
- Four points
- Two points

20. Poll

60 seconds

What is the definition of a plane?

- A flat surface that extends infinitely in all directions
- A three-dimensional object with length, width, and height
- An intersection of two lines

21. Slide

60 seconds

Lesson 1.1 Classwork

Complete Page 16-17: #8-14 all #15-21 odd #27-35 odd

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