Changes

Jump to navigation Jump to search
no edit summary
Line 35: Line 35:  
==Reference Books==
 
==Reference Books==
   −
= Teaching Outlines =
+
= Teaching Outlines  
 
+
Chord and its related theorems
 
==Concept #1 CHORD==
 
==Concept #1 CHORD==
 
===Learning objectives===
 
===Learning objectives===
 
The students should be able to:<br>
 
The students should be able to:<br>
*Recall the meaning of circle.<br>
+
#Recall the meaning of circle and chord.<br>
*Define chord.<br>
+
#State Properties of chord.<br>
*State Properties of chord.<br>
+
# By studying the theorems related to chords, the students should know that a chord in a circle is an important concept .
 +
# They should be able to relate chord properties to find unknown measures in a circle.
 +
# They should be able to apply chord properties for proof of further theorems in circles.
    
===Notes for teachers===
 
===Notes for teachers===
The teacher should clarify the meaning of chord and circle to the students
+
A chord is a straight line joining 2 points on the circumference of a circle. Chords within a circle can be related many ways. The theorems that involve chords of a circle are :
 +
Perpendicular bisector of a chord passes through the center of a circle.
 +
Congruent chords are equidistant from the center of a circle.
 +
If two chords in a circle are congruent, then their intercepted arcs are congruent.
 +
If two chords in a circle are congruent, then they determine two central angles that are congruent.
   −
===Activity No 1 Construction of chord  ===
+
===Activity No 1   ===
 
{| style="height:10px; float:right; align:center;"
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
Line 53: Line 59:  
|}
 
|}
 
*Estimated Time <br>
 
*Estimated Time <br>
10-15 minutes
+
20 minutes
*Materials/ Resources needed
+
*Materials/ Resources needed:
#circular paper cuttings
+
Laptop, Geogebra file, projector and a pointer.
#sketch pen
  −
#note book
  −
#pen
   
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
#Meaning of chord.
+
# The students should know the basic concepts of a circle and its related terms.
#Meaning of circle.
+
# They should have prior knowledge of chord and construction of perpendicular bisector to the chord.
#Meaning of circumference
+
*Multimedia resources: Laptop
*Multimedia resources
      
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
   −
*Process/ Developmental Questions
+
*Process:
#what is a chord?
+
# Show the children the geogebra file.
#The folded line connected from where to where?
+
# Let them identify the chord. Ask them to define a chord.
#How many chords can be drawn in a circle?
+
# perpendicular bisector.
 +
# Show them the 2nd chord.
 +
# Let students observe if everytime the perpendicular bisector of the chord passes through the centre of the circle.
 +
*Developmental Questions:
 +
# What is a chord ?
 +
# At how many points on the circumference does the chord touch a circle .
 +
# What is a bisector ?
 +
# What is a perpendicular bisector ?
 +
# In each case the perpendicular bisector passes through which point ?
 +
# Can anyone explain why does the perpendicular bisector always passes through the centre of the circle ?
 +
 
 
*Evaluation
 
*Evaluation
#was the effect of chord in a circle?
+
# What is the angle formed at the point of intersection of chord and radius ?
#Was the student able to give the meaning of chord?
+
# Are the students able to understand what a perpendicular bisector is ?
+
# Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle .
*Question Corner
+
*Question Corner:
#how many chords can be drawn in a circle?
+
# What do you infer ?
#What happens to the size of the chord if it moves away from the centre?
+
# How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.
#If the chord pass through the centre of the circle what it are the properties of that chord?
      
===Activity No # ===
 
===Activity No # ===
1,040

edits

Navigation menu