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: Identify and draw different types of triangles based on their sides and angles. State the properties of equilateral, isosceles, and scalene triangles. 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. 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.
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.
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
S ummarize 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: Identify and draw different types of quadrilaterals. State the properties of squares, rectangles, parallelograms, and trapezoids. 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
S ummarize 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: Define and identify triangles and quadrilaterals. Recognize the basic properties of triangles and quadrilaterals.
Introduction to Triangles and Quadrilaterals DAY 3
Do you know what triangles and quadrilaterals are?
What is a triangle? How many sides and angles does a triangle have? Can you name and describe different types of triangles based on their side lengths and angles? 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
What do you notice about the angles and sides of a right triangle? Can you identify any real-life examples of parallelograms? 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: Identify and classify triangles based on their sides (equilateral, isosceles, scalene). Understand the differences between the different types of triangles.
Classifying Triangles by Sides DAY 4
Review: How many sides does a triangle and quadrilateral have? The sum of the interior angles in any quadrilateral is always __________ degrees. 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. All angles in this triangle are also equal.
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 congruent.
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: Classify quadrilaterals based on their angles (square, rectangle, and parallelogram, trapezoid). Understand the unique features of each type of quadrilateral.
Classifying Quadrilaterals by Angles DAY 5
Review: Triangles: How many sides does a triangle have? If a triangle has one angle that measures 90 degrees, what type of triangle is it called? 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:
Hands-on Activity Identify angles or sort them into categories based on their properties. Square Rectangle Parallelogram Trapezoid Rhombus
Real-world Examples of each Type of Quadrilateral
D escribe 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: