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CIMI
MATHEMATICS 4 QUARTER 3
MELC BASED
CIMI
2
1. Do all quadrilaterals have 3 sides and angles?
2. Do all triangles have 4 sides and 4 angles?
3. Is any 3-sided polygon a triangle?
4. Is any 4-sided polygon is a quadrilateral?
5. Can a quadrilateral be divided into two triangles
YES NO
YES
YES
NO
NO
NO
NO
YES
YES
YES
NO
CIMI
3
TRAVEL AND OBSERVE
The Great Pyramid of Giza is the oldest and largest of
the pyramids in the Giza pyramid complex bordering
present-day Giza in Greater Cairo, Egypt. It is the
oldest of the Seven Wonders of the Ancient World, and
the only one to remain largely intact.
CIMI
4
TRAVEL AND OBSERVE
Designed to withstand the harsh environmental
conditions, the Ivatan houses in Basco, Batanes is a
must-visit cultural attraction in the Philippines. ...
The Ivatan houses are made of metre-thick
limestone and coral walls as well as cogon grass
roofs, and they are sturdy enough to withstand
strong winds.
CIMI
5
TRAVEL AND OBSERVE
The Bahay kubo, or nipa hut, is a
type of stilt house indigenous to
the cultures of the Philippines.
CIMI
6
TRAVEL AND OBSERVE
Pasig bridge
Conception Tarlac Magalang Road
CIMI
7
TRAVEL AND OBSERVE
Cebu–Cordova Link Expressway
The Cebu–Cordova Link Expressway
(CCLEX), also known as the Cebu–Cordova
Bridge is a toll bridge expressway under
construction in Metro Cebu, Philippines
which will link Cebu City and Cordova.
CIMI
8
TRAVEL AND OBSERVE
Bamban Bridge is a highway bridge in
Central Luzon, Philippines which is part
of the MacArthur Highway. The bridge
was constructed from 1996 to 1998 as
part of the rehabilitation efforts on
National Highway 3 following the 1991
eruption of Mount Pinatubo.
CIMI
9
TRAVEL AND OBSERVE
San Juanico Bridge – Longest
Bridge in the Philippines
San Juanico Bridge connects the
islands of Leyte and Samar by
linking the city of Tacloban to the
town of Santa Rita, Samar.
CIMI
10
TRAVEL AND OBSERVE
What do they have in common?
What is the most common shape used in bridge building?
CIMI
11
TRAVEL AND OBSERVE
Triangles are effective tools for architecture and
are used in the design of buildings and other
structures as they provide strength and stability.
The two most common triangular forms used
in architecture are equilateral and isosceles.
Why are triangles frequently used in construction?
CIMI
12
TRAVEL AND OBSERVE
Why is the triangle the most important shape?
The triangle is the strongest shape, capable of holding its shape,
having a strong base, and providing immense support.
The triangle is one of the most favorite shape in architecture.
CIMI
13
“ How to classify the
different type of triangles”
CIMI
Objective
Identify and describe the triangle
according to sides and angles.
CIMI
CIMI
16
Triangles can be classified
according to their angles
( measurements of its angle)
An angle is a figured formed by 2
rays ( arms) that meat at the vertex.
Angles are measured in degrees.
Triangle are compose of three line
segments. Classifying a triangle is as
simple as comparing the sides.
Triangles can be classified
according to their sides
(length of its sides)
CIMI
17
Types of triangles according to angles
Right Triangle
JKL is a Right Triangle.
It has one right angle (90°)
(90°)
CIMI
18
Types of triangles according to angles
Acute Triangle
ACB is an Acute Triangle.
It has 3 acute angles, all
angles are less than 90°
< CAB 75°
< ABC 43°
< BCA 62°
CIMI
19
Types of triangles according to angles
Obtuse Triangle
RQP is an Obtuse Triangle.
It has 1 obtuse angle,
measuring more than 90°
but less than 180°
(35°)
(25°)
(120°)
CIMI
20
Types of triangles according to sides
Equilateral Triangle
ABC is an Equilateral Triangle.
It has 3 equal sides
A
B
C
AB 2cm
AC 2cm
BC 2cm
An equilateral triangle has all three sides
equal in length. Its three angles are also
equal and they are each 60°. An equilateral
triangle is also an equiangular triangle since
all its angles are equal.
The Philippine national flag has a
rectangular white equilateral triangle,
symbolizing liberty, equality and fraternity
CIMI
21
Types of triangles according to sides
Isosceles Triangle
JON is an Isosceles Triangle.
It has 2 equal sides.
O
J N
JO 6cm
ON 6cm
JN 2cm
CIMI
22
Types of triangles according to sides
Scalene Triangle
ABC is a Scalene Triangle.
It has no equal sides.
BA 12cm
AC 6cm
BC 14cm
CIMI
23
(90°)
CIMI
24
Do all triangles have equal
sides?
Do they have equal angles?
CIMI
25
What are the
different triangles
according to sides?
What are the
different triangles
according to angles?
CIMI
26
CIMI
27
What makes the triangle the most
important shape?
 The triangle is the strongest shape.
 Triangles are effective tools for
architecture and are used in the
design of buildings and other
structures
CIMI
28
CIMI
29
CIMI
30
CIMI
CIMI
MECHANICS
There shall be three rounds namely:
a) the easy [ 5 Questions]
(5 questions worth 1 pt. each) = 5
b) the average [5 questions]
(5 questions worth 2pts. each) = 10
c) the difficult [3 Questions]
(3 questions worth 5 pts. each) = 15
----------
30 pts!
STRICTLY NO SHARING OF ANSWER
Total: 13 Questions
CIMI
CIMI
EASY- 15 seconds
Ans:
STRICTLY NO TALKING
A right triangle
has one right
angle
TRUE
FALSE
TRUE
CIMI
EASY- 15 seconds
Ans:
STRICTLY NO TALKING
Scalene triangle
has all equal
sides
FALSE
FALSE
TRUE
CIMI
EASY- 15 seconds
Ans:
STRICTLY NO TALKING
An Equilateral
triangle has no
equal sides
FALSE
TRUE
FALSE
CIMI
EASY- 15 seconds
Ans:
STRICTLY NO TALKING
An Isosceles
triangle has two
equal sides
TRUE
FALSE
TRUE
CIMI
EASY- 15 seconds
Ans:
STRICTLY NO TALKING
An obtuse triangle has
obtuse angle, which
measure more than 90°
but less than 180°.
TRUE
FALSE
TRUE
CIMI
CIMI
“ DO YOUR BEST”
B
AVERAGE ROUND
20 seconds
If you add up the degrees of each
angle on a triangle, what is the
sum?
A. 90°
B. 180°
C. 360°
D. 45°
CIMI
“ DO YOUR BEST”
C
AVERAGE ROUND
20 seconds
What are the three types of
triangles according to sides?
A. Equilatiral, isoseles. scalene
B. Equalateral, isoscoles, scalene
C. Equilateral, isosceles, scalene
D. Equilateral, Obtuse, Isosceles
CIMI
“ DO YOUR BEST”
C
AVERAGE ROUND
20 seconds
What triangle is it called when two
sides are the same and only one is
different?
A. Scalene
B. Vertex
C. Isosceles
D. Equilateral
CIMI
“ DO YOUR BEST”
D
AVERAGE ROUND
20 seconds
What triangle is it called when all
three sides are the same?
A. Scalene
B. Acute
C. Isosceles
D. Equilateral
CIMI
“ DO YOUR BEST”
B
AVERAGE ROUND
20 seconds
What is the degrees of the right
angle?
A. A right angle is 80°.
B. A right angle is 90°
C. A right angle is 100°
D. A right angle is 110°
CIMI
CIMI
DIFFICULT
25 seconds
Ans:
STRICTLY NO TALKING
A right triangle has one
other angle that is 35°.
What is the size of the
third angle?
55°
CIMI
Solution:
Step 1: A right triangle has one angle = 90°
Sum of known angles is 90° + 35° = 125°.
Step 2: The sum of all the angles in any triangle is
180°. Subtract sum of known angles from 180°.
180° − 125° = 55°
Answer: The size of the third angle is 55°
CIMI
DIFFICULT
25 seconds
Ans:
STRICTLY NO TALKING
A triangle has angles
46°, 63° and 71°. What
type of triangle is
this?
Acute triangle
CIMI
Solution:
Answer: Since all its
angles are less than 90°,
it is an acute triangle
CIMI
DIFFICULT
25 seconds
Ans:
STRICTLY NO TALKING
An equilateral triangle has
one side that measures 5 in.
What is the size of the angle
opposite that side?
60°
CIMI
Solution:
Step 1: Since it is an equilateral triangle all its
angles would be 60°.
The size of the angle does not depend on the
length of the side.
Answer: The size of the angle is 60°.:
CIMI
52
Materials needed:
 any available and safe materials in your home (coffee, extracted
leaves, or organic materials, any kind of coloring materials ( crayon,
water color, pastel color, acrylic water based)
 Oslo paper (optional)construction paper/scrap papers will be fine
 Glue, scissors, ruler
 ( as much as possible use recyclable materials at home)
Assignment: Just Tri Me
What to do:
 Create an art related with different types of triangles
 Size-: 12inches x 8.5 inches ( minimum)
20inches x 11 inches ( maximum)
CIMI
53
Rubric: Just Tri Me
CIMI
54
CIMI
55
CIMI
56
CIMI
57
CIMI
58
CIMI
59
CIMI
60
Triangular Characters
CIMI
61
Thank You!
Keep safe
everyone,
Virtual Hugs!
Teacher:
Jonshen

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IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLE

  • 2. CIMI 2 1. Do all quadrilaterals have 3 sides and angles? 2. Do all triangles have 4 sides and 4 angles? 3. Is any 3-sided polygon a triangle? 4. Is any 4-sided polygon is a quadrilateral? 5. Can a quadrilateral be divided into two triangles YES NO YES YES NO NO NO NO YES YES YES NO
  • 3. CIMI 3 TRAVEL AND OBSERVE The Great Pyramid of Giza is the oldest and largest of the pyramids in the Giza pyramid complex bordering present-day Giza in Greater Cairo, Egypt. It is the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact.
  • 4. CIMI 4 TRAVEL AND OBSERVE Designed to withstand the harsh environmental conditions, the Ivatan houses in Basco, Batanes is a must-visit cultural attraction in the Philippines. ... The Ivatan houses are made of metre-thick limestone and coral walls as well as cogon grass roofs, and they are sturdy enough to withstand strong winds.
  • 5. CIMI 5 TRAVEL AND OBSERVE The Bahay kubo, or nipa hut, is a type of stilt house indigenous to the cultures of the Philippines.
  • 6. CIMI 6 TRAVEL AND OBSERVE Pasig bridge Conception Tarlac Magalang Road
  • 7. CIMI 7 TRAVEL AND OBSERVE Cebu–Cordova Link Expressway The Cebu–Cordova Link Expressway (CCLEX), also known as the Cebu–Cordova Bridge is a toll bridge expressway under construction in Metro Cebu, Philippines which will link Cebu City and Cordova.
  • 8. CIMI 8 TRAVEL AND OBSERVE Bamban Bridge is a highway bridge in Central Luzon, Philippines which is part of the MacArthur Highway. The bridge was constructed from 1996 to 1998 as part of the rehabilitation efforts on National Highway 3 following the 1991 eruption of Mount Pinatubo.
  • 9. CIMI 9 TRAVEL AND OBSERVE San Juanico Bridge – Longest Bridge in the Philippines San Juanico Bridge connects the islands of Leyte and Samar by linking the city of Tacloban to the town of Santa Rita, Samar.
  • 10. CIMI 10 TRAVEL AND OBSERVE What do they have in common? What is the most common shape used in bridge building?
  • 11. CIMI 11 TRAVEL AND OBSERVE Triangles are effective tools for architecture and are used in the design of buildings and other structures as they provide strength and stability. The two most common triangular forms used in architecture are equilateral and isosceles. Why are triangles frequently used in construction?
  • 12. CIMI 12 TRAVEL AND OBSERVE Why is the triangle the most important shape? The triangle is the strongest shape, capable of holding its shape, having a strong base, and providing immense support. The triangle is one of the most favorite shape in architecture.
  • 13. CIMI 13 “ How to classify the different type of triangles”
  • 14. CIMI Objective Identify and describe the triangle according to sides and angles.
  • 15. CIMI
  • 16. CIMI 16 Triangles can be classified according to their angles ( measurements of its angle) An angle is a figured formed by 2 rays ( arms) that meat at the vertex. Angles are measured in degrees. Triangle are compose of three line segments. Classifying a triangle is as simple as comparing the sides. Triangles can be classified according to their sides (length of its sides)
  • 17. CIMI 17 Types of triangles according to angles Right Triangle JKL is a Right Triangle. It has one right angle (90°) (90°)
  • 18. CIMI 18 Types of triangles according to angles Acute Triangle ACB is an Acute Triangle. It has 3 acute angles, all angles are less than 90° < CAB 75° < ABC 43° < BCA 62°
  • 19. CIMI 19 Types of triangles according to angles Obtuse Triangle RQP is an Obtuse Triangle. It has 1 obtuse angle, measuring more than 90° but less than 180° (35°) (25°) (120°)
  • 20. CIMI 20 Types of triangles according to sides Equilateral Triangle ABC is an Equilateral Triangle. It has 3 equal sides A B C AB 2cm AC 2cm BC 2cm An equilateral triangle has all three sides equal in length. Its three angles are also equal and they are each 60°. An equilateral triangle is also an equiangular triangle since all its angles are equal. The Philippine national flag has a rectangular white equilateral triangle, symbolizing liberty, equality and fraternity
  • 21. CIMI 21 Types of triangles according to sides Isosceles Triangle JON is an Isosceles Triangle. It has 2 equal sides. O J N JO 6cm ON 6cm JN 2cm
  • 22. CIMI 22 Types of triangles according to sides Scalene Triangle ABC is a Scalene Triangle. It has no equal sides. BA 12cm AC 6cm BC 14cm
  • 24. CIMI 24 Do all triangles have equal sides? Do they have equal angles?
  • 25. CIMI 25 What are the different triangles according to sides? What are the different triangles according to angles?
  • 27. CIMI 27 What makes the triangle the most important shape?  The triangle is the strongest shape.  Triangles are effective tools for architecture and are used in the design of buildings and other structures
  • 31. CIMI
  • 32. CIMI MECHANICS There shall be three rounds namely: a) the easy [ 5 Questions] (5 questions worth 1 pt. each) = 5 b) the average [5 questions] (5 questions worth 2pts. each) = 10 c) the difficult [3 Questions] (3 questions worth 5 pts. each) = 15 ---------- 30 pts! STRICTLY NO SHARING OF ANSWER Total: 13 Questions
  • 33. CIMI
  • 34. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING A right triangle has one right angle TRUE FALSE TRUE
  • 35. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING Scalene triangle has all equal sides FALSE FALSE TRUE
  • 36. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An Equilateral triangle has no equal sides FALSE TRUE FALSE
  • 37. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An Isosceles triangle has two equal sides TRUE FALSE TRUE
  • 38. CIMI EASY- 15 seconds Ans: STRICTLY NO TALKING An obtuse triangle has obtuse angle, which measure more than 90° but less than 180°. TRUE FALSE TRUE
  • 39. CIMI
  • 40. CIMI “ DO YOUR BEST” B AVERAGE ROUND 20 seconds If you add up the degrees of each angle on a triangle, what is the sum? A. 90° B. 180° C. 360° D. 45°
  • 41. CIMI “ DO YOUR BEST” C AVERAGE ROUND 20 seconds What are the three types of triangles according to sides? A. Equilatiral, isoseles. scalene B. Equalateral, isoscoles, scalene C. Equilateral, isosceles, scalene D. Equilateral, Obtuse, Isosceles
  • 42. CIMI “ DO YOUR BEST” C AVERAGE ROUND 20 seconds What triangle is it called when two sides are the same and only one is different? A. Scalene B. Vertex C. Isosceles D. Equilateral
  • 43. CIMI “ DO YOUR BEST” D AVERAGE ROUND 20 seconds What triangle is it called when all three sides are the same? A. Scalene B. Acute C. Isosceles D. Equilateral
  • 44. CIMI “ DO YOUR BEST” B AVERAGE ROUND 20 seconds What is the degrees of the right angle? A. A right angle is 80°. B. A right angle is 90° C. A right angle is 100° D. A right angle is 110°
  • 45. CIMI
  • 46. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING A right triangle has one other angle that is 35°. What is the size of the third angle? 55°
  • 47. CIMI Solution: Step 1: A right triangle has one angle = 90° Sum of known angles is 90° + 35° = 125°. Step 2: The sum of all the angles in any triangle is 180°. Subtract sum of known angles from 180°. 180° − 125° = 55° Answer: The size of the third angle is 55°
  • 48. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING A triangle has angles 46°, 63° and 71°. What type of triangle is this? Acute triangle
  • 49. CIMI Solution: Answer: Since all its angles are less than 90°, it is an acute triangle
  • 50. CIMI DIFFICULT 25 seconds Ans: STRICTLY NO TALKING An equilateral triangle has one side that measures 5 in. What is the size of the angle opposite that side? 60°
  • 51. CIMI Solution: Step 1: Since it is an equilateral triangle all its angles would be 60°. The size of the angle does not depend on the length of the side. Answer: The size of the angle is 60°.:
  • 52. CIMI 52 Materials needed:  any available and safe materials in your home (coffee, extracted leaves, or organic materials, any kind of coloring materials ( crayon, water color, pastel color, acrylic water based)  Oslo paper (optional)construction paper/scrap papers will be fine  Glue, scissors, ruler  ( as much as possible use recyclable materials at home) Assignment: Just Tri Me What to do:  Create an art related with different types of triangles  Size-: 12inches x 8.5 inches ( minimum) 20inches x 11 inches ( maximum)