Monday, 1 October 2018

G1 Geometry : Angles


ANGLES

An ANGLE is formed when two straight lines meet at a point (or vertex).
    
(1) AP and AB are the 2 straight lines
(2) Vertex or point P (upper cap)
(3) An angle APB or angle x (lower cap)
Practice
The learner to use 2 pencils to form an angle, and to state
(a) the two straight lines,
(b) the point and
(c) the angle

What is a Point?  
- A precise location or place, usually represented by a dot.
- It has no size, no matter how far you zoomed in(no width)
- Is a place, not a thing -> no dimensions


IDENTIFYING AND COMPARING ANGLES

Example
What are the types of angles?
    Obtuse                       right-angle                    acute                      acute
Example
              

     (1) What are the types of angles between: A and B, B and C, C and D and D and E? 
           <Acute>
    (2) Which two fingers when stretch can form an obtuse angle?
          <Finger D and E>
        <Obtuse (form O from finger D&E), DE can be extended to form an obtuse angle>

Example
Count the number of obtuse angle in the diagram.
Step1: What is an obtuse angle? <more than 90o>
Step2: Circle obtuse angles. 


Total number of obtuse angles = 4 


NAMING ANGLES
Examples
Name the angles

An Angle is a measure of turn. It is measured in degree or the symbol °.
<Ask the learner what are these measured in   a. Distance   b. Weight   c. time >

USING THE PROTACTOR
Angles are measured using a protractor.
Here's how to use a protractor to measure an angle:

  • Line up the protractor so the 'cross hair' is exactly on the angle.
  • Line up one of the lines with the 0 line on the protractor.
  • The line is between 30 and 40, the angle must be thirty something degrees.
  • Count the small degrees up from 30. In the diagram, the angle is 35°. 

       ~~~~ END ~~~~ :)