OUTLINE

1
OUTLINE

• Aims
• Making Students understand the topic deeply
• Realting the topic with current knowledge
• Costructing a base for the future learnings
• Making students construct their own understanding

• Cover Page1
• GSP Activity.2
• Equilateral Triangles3
• Questions.4
• Equiangular Triangles 5-6
• Questions7-9
• More Features 10
• Questions11-12
• Cooperative Activiites.13-15
• 30-60-90 Triangles...16-18
• Examples..19
• References.20

2
WHAT CAN BE OUR TOPIC

• TRIANGLES

BY DUYGU YURTSEVER
3
GSP ACTIVITY I

• Work on the GSP Program
• by following the steps
• Drag the triangle
• Note your observations
• Make a table through your observations
• Draw a conclusion

Click to open the activity
4
EQUILATERAL TRIANGLES
A

• Equilateral triangle is a triangle with all three
  sides of equal length

a
a
B
C
a
5
Question 1

• The triangle is a equilateral triangle. According
  to the given find the missing sides

ANSWER
AC10 BC10
6
EQUIANGULAR TRIANGLES
A

• Equiangular triangle is a triangle with all three
  angles of equal degree measure

C
B

• For more GSP activities also look at

http//www.geom.uiuc.edu/demo5337/Group3/tri1.htm
l
7
Equiangular all angles measure the same. (60º)
This is the same as the equilateral triangle.
8
Question2

• The triangle is a equiangular triangle. According
  to the given find the missing sides

ANSWER
KJ5 LJ5
LK5
9
Question 3

• The triangle is given below. According to the
  given find the missing sides and angle

ANSWER
KJ10 LJ10
60
10
Question 4
ANSWER

• Find AB and AC on the triangle in the figure.

If a triangle is equiangular, it is equilateral.
If the triangle is equilateral, then all the
sides have the same measure. Therefore, AC also
equals 5.
AC5
11
MORE FEATURES

• Angle bisector in a equilateral triangle is also
  height and median

A
B
C
H
12
Question 5

• According to the givens find the BH and AH

ANSWER
BH5
AH
13
Question 6

• An equilateral triangle has a height of 15 cm.
  Calculate its perimeter

ANSWER
15
14
COOPERAIVE ACTIVITIES

• Following activities will be done with your group
  members
• Read questions carefully and discuss different
  answers
• One question can have various answers
• Write your answers and present them
• Duration 15 minutes for each activity

15
ACTIVITY I
16
ACTIVITY II
17
30-60-90 TRIANGLES
AH length can be calculated by pisagor theorem
18
NOTE 30-60-90 triangle can be obtained from An
equilateral triangle
C
19
30-60-90 TRIANGLES
20
Examples

• Look at the example and examine it.

• 2. Solve the right triangle ABC if angle A is
  60, and side c is 10 cm.

ANSWER
21
REFERENCES

• http//www.themathpage.com/aTrig/30-60-90-triangle
  .htm
• http//images.google.com.tr/imgres?imgurlhttp//m
  athworld.wolfram.com/images/eps-gif/30-60-90Triang
  le_1000.gifimgrefurlhttp//mathworld.wolfram.com
  /30-60-90Triangle.htmlh253w176sz3tbnidfrWJ
  _SWSPxXuzMtbnh106tbnw73prev/images3Fq3D30
  -60-902Btrianglesstart1saXoiimagesctimage
  cd1
• http//www.cimt.plymouth.ac.uk/projects/mepres/boo
  k8/y8s15act.pdf
• http//www.mth.msu.edu/nathsinc/sketchmad/profile
  s/polygons.html
• http//www.infoplease.com/ipa/A0876325.html
• http//www.utexas.edu/its/training/handouts/UTOPIA
  _PowerpointGS/
• http//www.maththatcounts.com/Triangles20I.ppt
• http//www.vickiblackwell.com/ppttemplates.html
• flash.artie.com/20011115/ arg-qmark-65-trans.gif