MATH 4
QUARTER 1 WEEK
2
Learning
Competencies
The learners will be able to:
1. Draw and state the
properties of triangles and
quadrilaterals.
2. Classify triangles and
quadrilaterals according to
sides and angles.
Learning
Objectives
At the end of the lesson the learners
will be able to:
1. Identify and draw different types of
triangles based on their sides and
angles.
2. State the properties of equilateral,
isosceles, and scalene triangles.
3. Differentiate between acute, obtuse,
and right-angled triangles
Exploring the
Properties of
Triangles
DAY 1
What do you know
about triangles?
Look at the images of triangles below.
1. How would you classify each triangle based on the
length of its sides?
'Equilateral' for triangles with all sides of equal length.
'Isosceles' for triangles with two sides of equal length.
'Scalene' for triangles with all sides of different lengths.
2. Can you classify each triangle according to its
angles?
'Acute' for triangles with all angles less than 90
degrees. 'Obtuse' for triangles with one angle greater
than 90 degrees.
'Right' for triangles with one angle exactly 90 degrees."
Take a look at these triangles.
• Classify each triangle using both the side length and
angle classifications you've learned.
• Write down the name that describes each triangle
best, considering both sides and angles."
Today you will learn
about the different
types of triangles and
their properties.
"Say-It-Repeat-It“
'Equilateral' for triangles with all sides of
equal length.
'Isosceles' for triangles with two sides of
equal length.
'Scalene' for triangles with all sides of
different lengths.
"Say-It-Repeat-It“
'Acute' for triangles with all angles less
than 90 degrees.
'Obtuse' for triangles with one angle
greater than 90 degrees.
'Right' for triangles with one angle exactly
90 degrees."
TYPES OF TRIANGLES
ACCORDING TO SIDES
• Triangles may be classified according to their sides. The kinds
of triangles according to their sides are the equilateral,
isosceles and scalene triangles.
Equilateral triangles
• An equilateral triangle is a triangle with three equal sides.
• The triangles below are all equilateral triangles. They have
three equal sides.
MATH 4_Q1_WEEK2 powerpoint presentations
• The symbols “I”, or “II”, etc. are used to mark parts of figures.
• When parts of the same or of different figures are marked
using the same symbols, that means those parts have equal
measures or are congruent.
Isosceles triangles
• An isosceles triangle is a triangle with two equal sides.
• The triangles below are isosceles triangles. They have two
equal sides.
MATH 4_Q1_WEEK2 powerpoint presentations
Scalene triangles
• A scalene triangle is a triangle with no equal sides. The
triangles below are scalene triangles. They have no equal
sides.
Examples of Scalene Triangle
ACTIVITY 1
ACTIVITY 2
• Summarize the properties
of each type of triangle in
your own words.
Generalizations And
Abstractions
ACTIVITY 3
ACTIVITY 4
Learning
Objectives
At the end of the lesson the
learners will be able to:
1. Identify and draw different types
of quadrilaterals.
2. State the properties of squares,
rectangles, parallelograms, and
trapezoids.
3. Understand the concept of
opposite sides and angles in
quadrilaterals
Discovering the
Properties of
Quadrilaterals
DAY 2
What do you know
about
quadrilaterals?
Types of Quadrilateral:
Everyday Quadrilaterals:
Think about objects you
encounter daily. Choose one
object and describe which type
of quadrilateral it resembles the
most.
Drawing Quadrilaterals:
Draw a picture of your dream
house. Make sure to include at least
two different types of quadrilaterals
in your drawing.
Label the shapes you've used
and explain why you chose each
shape for a particular part of the
house
• One of the most common plane figures is the group of
quadrilaterals.
• Quadrilaterals are polygons with 4 sides and 4 angles.
In this lesson, you will learn to identify and describe
the different kinds of quadrilaterals.
"Say-It-Repeat-It“
Quadrilateral is a polygon with 4 sides and 4 angles.
• There are different kinds of quadrilaterals. Some
quadrilaterals have special properties and have been given
special names. These are the square, the rectangle, the
parallelogram, the trapezoid and the rhombus.
The following are different kinds of quadrilaterals:
• A parallelogram is a quadrilateral with 2 pairs of parallel
sides and its opposite sides are equal.
• A rectangle is a parallelogram with 4 right angles.
•Its opposite sides are equal. A rhombus is a
parallelogram with 4 equal sides.
• A square is a parallelogram with 4 right angles and 4 equal
sides.
• A square has four equal sides and opposite sides are parallel.
All four corners are right angles or measure 90.
•A trapezoid is a quadrilateral with only one pair of
opposite sides that are parallel.
ACTIVITY 1
• Summarize the properties of
each type of quadrilateral and
explain the concept of
opposite sides and angles.
Generalizations And
Abstractions
ACTIVITY 2
ACTIVITY 2
• Identify quadrilaterals
in the environment.
Additional Activity:
Learning
Objectives
At the end of the lesson the
learners will be able to:
1. Define and identify
triangles and
quadrilaterals.
2. Recognize the basic
properties of triangles and
quadrilaterals.
Introduction to
Triangles and
Quadrilaterals
DAY 3
Do you know
what triangles
and quadrilaterals
are?
1. What is a triangle? How many sides and
angles does a triangle have?
2. Can you name and describe different types
of triangles based on their side lengths
and angles?
3. Imagine you have a triangle with one angle
measuring 90 degrees. What is this type of
triangle called?
4. What is a quadrilateral? How does it differ
from a triangle in terms of the number of sides
and angles?
5. Can you identify a quadrilateral with all
sides of equal length and all angles at 90
degrees? What is this type of quadrilateral
called?
Triangles
Based On
Their Sides
And
Angles
Quadrilaterals Based On Their Properties
1. What do you notice about the angles and
sides of a right triangle?
2. Can you identify any real-life examples of
parallelograms?
3. How is an equilateral triangle different from
an isosceles triangle?
Answer the following
questions:
Pronounce each syllable clearly.
Repeat After Me:
Quadrilateral Triangle
Square Scalene
Rectangle Isosceles
Parallelogram Equilateral
Trapezoid Acute
Rhombus Obtuse
Right
Identify each triangle according to its
sides.
Direction: Name the following quadrilaterals.
ACTIVITY 1
A triangle always
has three sides
connecting three
vertices
(corners).
Triangles Have Three Key Properties:
Three Sides: Interior Angles
Add Up:
Three
Angles:
Triangles also
have three
angles
formed by the
intersection of
their sides.
The sum of
the interior
angles in any
triangle is
always 180
degrees.
A quadrilateral
always has
four sides
connecting
four vertices.
Properties Of Quadrilaterals:
Four Sides: Interior Angles
Add Up:
Four Angles:
Quadrilaterals
also have four
angles formed
by the
intersection of
their sides.
The sum of
the interior
angles in any
quadrilateral
is always
360 degrees.
Examples of Triangle:
Examples of Quadrilateral:
• Share what you've learned
about triangles and
quadrilaterals.
Generalizations And
Abstractions
ACTIVITY 2
ACTIVITY 3
Learning
Objectives
At the end of the lesson the
learners will be able to:
1. Identify and classify triangles
based on their sides
(equilateral, isosceles,
scalene).
2. Understand the differences
between the different types of
triangles.
Classifying
Triangles
by Sides
DAY 4
Review:
1. How many sides does a
triangle and quadrilateral
have?
2. The sum of the interior
angles in any quadrilateral is
always __________
degrees.
3. The sum of the interior
angles in any triangle is
always _________ degrees.
Today you will learn
about classifying
triangles based on
their sides.
To classify a triangle based on its
sides,
follow these steps:
• Measure or determine the lengths of the three
sides of the triangle.
• Compare the side lengths:
• If all three sides are equal, the triangle is
equilateral.
• If two sides are equal and one is different,
the triangle is isosceles.
• If all three sides are different, the triangle is
scalene
Practice Saying The Words
Equilateral: e-qui-lat-er-al
Isosceles: i-sos-ce-les
Scalene: sca-le-ne
Role Play:
• Divide learners into groups.
• Assign each group a type of triangle.
• Work together to create sentences or
short descriptions using the assigned
term.
• For example, "We are an equilateral
triangle, and all our sides are equal."
Role Play:
• Divide learners into groups.
• Assign each group a type of triangle.
• Work together to create sentences or
short descriptions using the assigned
term.
• For example, "We are an equilateral
triangle, and all our sides are equal."
Types Of Triangle
'Equilateral' for triangles with all sides of equal length.
'Isosceles' for triangles with two sides of equal length.
'Scalene' for triangles with all sides of different lengths.
Equilateral Triangle Example:
• This type of sign has three equal sides, which
aligns with the definition of an equilateral
triangle.
•
Isosceles Triangle Example:
• The two sides of the roof are equal in length, while the
base is different. This corresponds to the definition of
an isosceles triangle, where two sides are equal.
• The angles opposite the equal sides are also
Scalene Triangle Example:
• The sides of the trail on the map have different
lengths, which aligns with the characteristics of a
scalene triangle.
• Note that all three angles in this triangle also have
different measures.
ACTIVITY 1
• Describe the differences
between equilateral, isosceles,
and scalene triangles.
Generalizations And
Abstractions
ACTIVITY 2
Who am I? Identify the kind of triangle and draw an example
of each. Write your answer on a separate sheet of paper.
• 1. I am a triangle with no sides equal.
• 2. I am a triangle with 3 equal sides.
• 3. I am a triangle with an obtuse angle.
• 4. I am a triangle with 2 equal sides.
• 5. I am a triangle with a 900 angle.
Additional Activity:
Learning
Objectives
At the end of the lesson the
learners will be able to:
1. Classify quadrilaterals based
on their angles (square,
rectangle, and parallelogram,
trapezoid).
2. Understand the unique
features of each type of
quadrilateral.
Classifying
Quadrilaterals by
Angles
DAY 5
Review:
Triangles:
1. How many sides does a
triangle have?
2. If a triangle has one angle
that measures 90 degrees,
what type of triangle is it
called?
3. Can a triangle have two sides
of the same length? What is
this type of triangle called?
Review:
Quadrilaterals:
1. What is a quadrilateral?
2. If a quadrilateral has all sides
of equal length, what do we call
it?
3. Draw a square and label its
sides and angles.
Today you will learn
about classifying
quadrilaterals based
on their angles.
Quadrilaterals Based On Their Angles
ACTIVITY 1
Pronunciation Practice:
MATH 4_Q1_WEEK2 powerpoint presentations
MATH 4_Q1_WEEK2 powerpoint presentations
MATH 4_Q1_WEEK2 powerpoint presentations
Hands-on Activity
Identify angles or sort them
into categories based on their
properties.
1. Square
2. Rectangle
3. Parallelogram
4. Trapezoid
5. Rhombus
Real-world Examples of each
Type of Quadrilateral
MATH 4_Q1_WEEK2 powerpoint presentations
MATH 4_Q1_WEEK2 powerpoint presentations
MATH 4_Q1_WEEK2 powerpoint presentations
MATH 4_Q1_WEEK2 powerpoint presentations
• Describe the unique angles
of squares, rectangles,
parallelograms, and
trapezoids.
Generalizations And
Abstractions
ACTIVITY 2
• Create your own drawings of
each type of quadrilateral
and label the angles.
Additional Activity:

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MATH 4_Q1_WEEK2 powerpoint presentations

  • 2. Learning Competencies The learners will be able to: 1. Draw and state the properties of triangles and quadrilaterals. 2. Classify triangles and quadrilaterals according to sides and angles.
  • 3. Learning Objectives At the end of the lesson the learners will be able to: 1. Identify and draw different types of triangles based on their sides and angles. 2. State the properties of equilateral, isosceles, and scalene triangles. 3. Differentiate between acute, obtuse, and right-angled triangles
  • 5. What do you know about triangles?
  • 6. Look at the images of triangles below. 1. How would you classify each triangle based on the length of its sides? 'Equilateral' for triangles with all sides of equal length. 'Isosceles' for triangles with two sides of equal length. 'Scalene' for triangles with all sides of different lengths.
  • 7. 2. Can you classify each triangle according to its angles? 'Acute' for triangles with all angles less than 90 degrees. 'Obtuse' for triangles with one angle greater than 90 degrees. 'Right' for triangles with one angle exactly 90 degrees."
  • 8. Take a look at these triangles. • Classify each triangle using both the side length and angle classifications you've learned. • Write down the name that describes each triangle best, considering both sides and angles."
  • 9. Today you will learn about the different types of triangles and their properties.
  • 10. "Say-It-Repeat-It“ 'Equilateral' for triangles with all sides of equal length. 'Isosceles' for triangles with two sides of equal length. 'Scalene' for triangles with all sides of different lengths.
  • 11. "Say-It-Repeat-It“ 'Acute' for triangles with all angles less than 90 degrees. 'Obtuse' for triangles with one angle greater than 90 degrees. 'Right' for triangles with one angle exactly 90 degrees."
  • 12. TYPES OF TRIANGLES ACCORDING TO SIDES • Triangles may be classified according to their sides. The kinds of triangles according to their sides are the equilateral, isosceles and scalene triangles.
  • 13. Equilateral triangles • An equilateral triangle is a triangle with three equal sides. • The triangles below are all equilateral triangles. They have three equal sides.
  • 15. • The symbols “I”, or “II”, etc. are used to mark parts of figures. • When parts of the same or of different figures are marked using the same symbols, that means those parts have equal measures or are congruent.
  • 16. Isosceles triangles • An isosceles triangle is a triangle with two equal sides. • The triangles below are isosceles triangles. They have two equal sides.
  • 18. Scalene triangles • A scalene triangle is a triangle with no equal sides. The triangles below are scalene triangles. They have no equal sides.
  • 22. • Summarize the properties of each type of triangle in your own words. Generalizations And Abstractions
  • 25. Learning Objectives At the end of the lesson the learners will be able to: 1. Identify and draw different types of quadrilaterals. 2. State the properties of squares, rectangles, parallelograms, and trapezoids. 3. Understand the concept of opposite sides and angles in quadrilaterals
  • 27. What do you know about quadrilaterals?
  • 29. Everyday Quadrilaterals: Think about objects you encounter daily. Choose one object and describe which type of quadrilateral it resembles the most.
  • 30. Drawing Quadrilaterals: Draw a picture of your dream house. Make sure to include at least two different types of quadrilaterals in your drawing. Label the shapes you've used and explain why you chose each shape for a particular part of the house
  • 31. • One of the most common plane figures is the group of quadrilaterals. • Quadrilaterals are polygons with 4 sides and 4 angles. In this lesson, you will learn to identify and describe the different kinds of quadrilaterals.
  • 33. Quadrilateral is a polygon with 4 sides and 4 angles. • There are different kinds of quadrilaterals. Some quadrilaterals have special properties and have been given special names. These are the square, the rectangle, the parallelogram, the trapezoid and the rhombus.
  • 34. The following are different kinds of quadrilaterals: • A parallelogram is a quadrilateral with 2 pairs of parallel sides and its opposite sides are equal.
  • 35. • A rectangle is a parallelogram with 4 right angles.
  • 36. •Its opposite sides are equal. A rhombus is a parallelogram with 4 equal sides.
  • 37. • A square is a parallelogram with 4 right angles and 4 equal sides. • A square has four equal sides and opposite sides are parallel. All four corners are right angles or measure 90.
  • 38. •A trapezoid is a quadrilateral with only one pair of opposite sides that are parallel.
  • 40. • Summarize the properties of each type of quadrilateral and explain the concept of opposite sides and angles. Generalizations And Abstractions
  • 43. • Identify quadrilaterals in the environment. Additional Activity:
  • 44. Learning Objectives At the end of the lesson the learners will be able to: 1. Define and identify triangles and quadrilaterals. 2. Recognize the basic properties of triangles and quadrilaterals.
  • 46. Do you know what triangles and quadrilaterals are?
  • 47. 1. What is a triangle? How many sides and angles does a triangle have? 2. Can you name and describe different types of triangles based on their side lengths and angles? 3. Imagine you have a triangle with one angle measuring 90 degrees. What is this type of triangle called?
  • 48. 4. What is a quadrilateral? How does it differ from a triangle in terms of the number of sides and angles? 5. Can you identify a quadrilateral with all sides of equal length and all angles at 90 degrees? What is this type of quadrilateral called?
  • 50. Quadrilaterals Based On Their Properties
  • 51. 1. What do you notice about the angles and sides of a right triangle? 2. Can you identify any real-life examples of parallelograms? 3. How is an equilateral triangle different from an isosceles triangle? Answer the following questions:
  • 52. Pronounce each syllable clearly. Repeat After Me: Quadrilateral Triangle Square Scalene Rectangle Isosceles Parallelogram Equilateral Trapezoid Acute Rhombus Obtuse Right
  • 53. Identify each triangle according to its sides.
  • 54. Direction: Name the following quadrilaterals.
  • 56. A triangle always has three sides connecting three vertices (corners). Triangles Have Three Key Properties: Three Sides: Interior Angles Add Up: Three Angles: Triangles also have three angles formed by the intersection of their sides. The sum of the interior angles in any triangle is always 180 degrees.
  • 57. A quadrilateral always has four sides connecting four vertices. Properties Of Quadrilaterals: Four Sides: Interior Angles Add Up: Four Angles: Quadrilaterals also have four angles formed by the intersection of their sides. The sum of the interior angles in any quadrilateral is always 360 degrees.
  • 60. • Share what you've learned about triangles and quadrilaterals. Generalizations And Abstractions
  • 63. Learning Objectives At the end of the lesson the learners will be able to: 1. Identify and classify triangles based on their sides (equilateral, isosceles, scalene). 2. Understand the differences between the different types of triangles.
  • 65. Review: 1. How many sides does a triangle and quadrilateral have? 2. The sum of the interior angles in any quadrilateral is always __________ degrees. 3. The sum of the interior angles in any triangle is always _________ degrees.
  • 66. Today you will learn about classifying triangles based on their sides.
  • 67. To classify a triangle based on its sides, follow these steps: • Measure or determine the lengths of the three sides of the triangle. • Compare the side lengths: • If all three sides are equal, the triangle is equilateral. • If two sides are equal and one is different, the triangle is isosceles. • If all three sides are different, the triangle is scalene
  • 68. Practice Saying The Words Equilateral: e-qui-lat-er-al Isosceles: i-sos-ce-les Scalene: sca-le-ne
  • 69. Role Play: • Divide learners into groups. • Assign each group a type of triangle. • Work together to create sentences or short descriptions using the assigned term. • For example, "We are an equilateral triangle, and all our sides are equal."
  • 70. Role Play: • Divide learners into groups. • Assign each group a type of triangle. • Work together to create sentences or short descriptions using the assigned term. • For example, "We are an equilateral triangle, and all our sides are equal."
  • 71. Types Of Triangle 'Equilateral' for triangles with all sides of equal length. 'Isosceles' for triangles with two sides of equal length. 'Scalene' for triangles with all sides of different lengths.
  • 72. Equilateral Triangle Example: • This type of sign has three equal sides, which aligns with the definition of an equilateral triangle. •
  • 73. Isosceles Triangle Example: • The two sides of the roof are equal in length, while the base is different. This corresponds to the definition of an isosceles triangle, where two sides are equal. • The angles opposite the equal sides are also
  • 74. Scalene Triangle Example: • The sides of the trail on the map have different lengths, which aligns with the characteristics of a scalene triangle. • Note that all three angles in this triangle also have different measures.
  • 76. • Describe the differences between equilateral, isosceles, and scalene triangles. Generalizations And Abstractions
  • 78. Who am I? Identify the kind of triangle and draw an example of each. Write your answer on a separate sheet of paper. • 1. I am a triangle with no sides equal. • 2. I am a triangle with 3 equal sides. • 3. I am a triangle with an obtuse angle. • 4. I am a triangle with 2 equal sides. • 5. I am a triangle with a 900 angle. Additional Activity:
  • 79. Learning Objectives At the end of the lesson the learners will be able to: 1. Classify quadrilaterals based on their angles (square, rectangle, and parallelogram, trapezoid). 2. Understand the unique features of each type of quadrilateral.
  • 81. Review: Triangles: 1. How many sides does a triangle have? 2. If a triangle has one angle that measures 90 degrees, what type of triangle is it called? 3. Can a triangle have two sides of the same length? What is this type of triangle called?
  • 82. Review: Quadrilaterals: 1. What is a quadrilateral? 2. If a quadrilateral has all sides of equal length, what do we call it? 3. Draw a square and label its sides and angles.
  • 83. Today you will learn about classifying quadrilaterals based on their angles.
  • 84. Quadrilaterals Based On Their Angles
  • 90. Hands-on Activity Identify angles or sort them into categories based on their properties. 1. Square 2. Rectangle 3. Parallelogram 4. Trapezoid 5. Rhombus
  • 91. Real-world Examples of each Type of Quadrilateral
  • 96. • Describe the unique angles of squares, rectangles, parallelograms, and trapezoids. Generalizations And Abstractions
  • 98. • Create your own drawings of each type of quadrilateral and label the angles. Additional Activity: