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Form 1 Mathematics Chapter 6. Introduction to Geometry. Reminder. Drawing Exercises & Dictation Today!!!! SHW (III) & OBQ 30 Jan (Wed) SHW (I), (II) Correction 1 Feb (Fri) SHW (III), OBQ Correction 4 Feb (Mon) CBQ 6 Feb (Wed). Points, Lines and Planes. Points 點 Lines 線 Planes 面.

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Form 1 mathematics chapter 6

Form 1 Mathematics

Chapter 6

Introduction to Geometry


Reminder
Reminder

  • Drawing Exercises & Dictation

    • Today!!!!

  • SHW (III) & OBQ

    • 30 Jan (Wed)

  • SHW (I), (II) Correction

    • 1 Feb (Fri)

  • SHW (III), OBQ Correction

    • 4 Feb (Mon)

  • CBQ

    • 6 Feb (Wed)


Points lines and planes
Points, Lines and Planes

  • Points 點

  • Lines 線

  • Planes 面


Angles
Angles

  • Angles:

  • Name of angles (middle letter is vertex!)


Types of angles p 229
Types of Angles (p.229)

  • There are six types:


Parallel lines p 231
Parallel lines (p.231)

  • When two lines in the same plane, but they do not intersect each other, they are called parallel lines (平行線)

  • A pair of parallel lines is denoted by a pair of arrows (箭號)

  • We write “AB//CD”


Perpendicular lines p 232
Perpendicular lines (p.232)

  • When two lines in the same plane are intersecting at right angle (90), they are called perpendicular lines (垂直線)

  • A right angle willbe clearly shownin a pair of perpendicular lines

  • We write “ABCD”


Plane figure p 235
Plane Figure (p.235)

  • Any shape enclosed by line segments in the same plane is called Plane Figure.

  • Otherwise, it should be a curved surface.


Polygons p 242
Polygons (多邊形) (p.242)

  • The name of the polygons depends on the number of straight lines:

  • Triangle 3 lines (Tri-)

  • Quadrilateral 4 lines (Quadri-)

  • Pentagon 5 lines (Penta-)

  • Hexagon 6 lines (Hexa-)

  • Octagon 8 lines (Octa-)

  • Number prefix (from wikipedia)


Polygons p 2421
Polygons (多邊形) (p.242)

  • Diagonal (對角線) is the line segment joining any two non-adjacent (不相鄰) vertices(頂點vertex)

  • A line segment joining two adjacent vertices is called a side (邊)

  • Same side  Equilateral (等邊)polygon

  • Same angle  Equiangular (等角) polygon

  • Both  Regular polygon(正多邊形)


Circle p 235

C

r

d

Circle (p.235)

  • All points on the circle (circumference 圓周) are at the same distance (radius半徑) from the a fixed point (centre 圓心).

  • Diameter (直徑) is 2 x Radius (d = 2r)

  • C = d x  (圓周率)or C = 2r

  •   3.14159 26535 897…


Types of triangle p 237
Types of Triangle (p.237)

  • Triangles are formed by three straight lines

  • Its name depends on its angles


Angle sum of a triangle
Angle Sum of a Triangle

  • Sum of angles of a triangle is 180

  • a + b + c = 180 (Straight angle = 180)


Solids p 247
Solids (p.247)

  • Solids are 3-D (three-dimensional) figures.

Plane

Vertex

Curved surface

Edge


Drawing solids

1 cm

1 cm

1 cm

Drawing Solids

  • Dotted lines

  • Isometric Drawing


Cross section
Cross-section

  • If we cut a solid at right angle to its length, the plane is called a cross-section.

  • If planes from the parallel cuts are the same, the plane is a uniform cross-section


Polyhedra
Polyhedra (多面體)

  • When all faces of a solid are polygons only, it is called a polyhedron.

    Yes! No!


Model of polyhedra
Model of Polyhedra

  • The connected planes of a polyhedron are called a net.


Dictation
Dictation

  • Words on the PowerPoint files

  • 12 questions

  • Write down the answers one-by-one

  • Final minutes for revision

  • Are you ready?


Dictation1
Dictation

  • Give the English name of the followings:

  • 1. 線段

  • 2. 頂點

  • 3. 平行線

  • 4. 垂直線

  • 5. 鈍角

  • 6. 等腰三角形


Dictation2
Dictation

  • Give the English name of the followings:

  • 7. 圓周

  • 8. 直徑

  • 9. 對角線

  • 10. 正多邊形

  • 11. 等邊五邊形

  • 12.等角六邊形

  • Can you get them all?


Dictation answers
Dictation Answers

  • Here are the answers:

  • 1. 線段 Line Segment

  • 2. 頂點 Vertex

  • 3. 平行線 Parallel Lines

  • 4. 垂直線 Perpendicular Lines

  • 5. 鈍角 Obtuse Angle

  • 6. 等腰三角形 Isosceles Triangle


Dictation answers1
Dictation Answers

  • Next we have:

  • 7. 圓周 Circumference

  • 8. 直徑 Diameter

  • 9. 對角線 Diagonal

  • 10. 正多邊形 Regular Polygon

  • 11. 等邊五邊形 Equilateral Pentagon

  • 12.等角六邊形 Equiangular Hexagon

  • Can you get them all?


Reminder1
Reminder

  • Drawing Exercises & Dictation

    • Today!!!!

  • SHW (III) & OBQ

    • 30 Jan (Wed)

  • SHW (I), (II), Dictation Correction

    • 1 Feb (Fri)

  • SHW (III), OBQ Correction

    • 4 Feb (Mon)

  • CBQ

    • 6 Feb (Wed)



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