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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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Presentation Transcript
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)
ad