introduction to geometry
DESCRIPTION
Form 1 Mathematics Chapter 6. Introduction to Geometry. Reminder. Lesson requirement Textbook 1A Workbook 1A Notebook (and folder) Before lessons start Desks in good order! No rubbish around!. What is Geometry (p.225). Geo-: land, earth (shape) -metry: metre (measure) - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/1.jpg)
Form 1 MathematicsChapter 6
![Page 2: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/2.jpg)
Lesson requirement Textbook 1A Workbook 1A Notebook (and folder)
Before lessons start Desks in good order! No rubbish around!
![Page 3: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/3.jpg)
Geo- : land, earth (shape) -metry : metre (measure)
Basic concepts of Geometry Points 點 Lines 線 Planes 面 (Solids) 體
![Page 4: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/4.jpg)
Points are the most basic concept in Geometry.
They are represented by a “X” and labelled by a Capital letter.
A point describes a location.
![Page 5: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/5.jpg)
A line can be drawn by points
What is the difference between Line and Line Segment ( 線段 )?
Line segment has end-points
![Page 6: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/6.jpg)
Naming a line: By 2 points on the line By a letter
Type of lines Straight line (直線 ) Curved line ( 曲線 )
![Page 7: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/7.jpg)
Naming a plane: By corners (vertex 頂點 ) in either
clockwise or anti-clockwise order
By a Capital letter
![Page 8: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/8.jpg)
We can learn a lot about geometry from the art of origami (摺紙 )
Let’s try to fold the paper:
Is the crease ( 摺痕 ) a point, a line or a plane?
![Page 9: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/9.jpg)
Consider ABD and BCD are two different planes.
When two planes intersect each other (相交 ), they form a line.
We called it line of intersection
![Page 10: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/10.jpg)
Let’s continue to fold the paper:
When two lines (AC and BD) intersect each other, they form a point.
We called it point of intersection
![Page 11: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/11.jpg)
Think about the followings:
Is it possible to have two planes that do not intersect each other?
Is it possible to have two lines that do not intersect each other?
![Page 12: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/12.jpg)
SHW (I) Hand in correction today!
OBQ Correction! (except the Bonus
question) 18 Jan (Fri)
CBQ 18 Jan (Fri)
![Page 13: Introduction to Geometry](https://reader035.vdocuments.us/reader035/viewer/2022081418/56812eee550346895d948b51/html5/thumbnails/13.jpg)
Enjoy the world of Mathematics!
Ronald HUI