Exploring Triangles in Mathematics Class V
Dive into the world of triangles in Mathematics Class V as students learn to compare triangular shapes with other shapes, identify vertices, sides, and angles of a triangle, measure angles, find relations between angles and sides, solve word problems, and more. Engage in activities, implement knowledge through art integration, and discover the properties of triangles through assessments and practical examples.
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SUBJECT : MATHEMATICS CLASS : V TOPIC : TRIANGLES
LEARNING OBJECTIVES At the end of the lesson: Students will be able to compare triangular shaped Objects with objects of other shape Students will be able to identify the vertices. Sides and angles of the Triangle Students will be able to measure all the three angles of the triangle Students will be able to find the relation between angles and sides of a triangle Students will be able to find the answer of word problem based on Triangle Students will be able to solve VBQ and HOT questions. Students will be able to perform any activity in or outside the class . Students will be able to implement their knowledge on Art Integration. PDF LINK FOR CHAPTER
INTRODUCTION A Vertex The Triangle is a shape with three angles and three sides. Side Angle B C A Triangle has three sides- AB, BC, CA A Triangle has three corners or vertices- A,B, & C A triangle has three angles- <BAC or <A, <CBA or <B & <ACB or <C
ASSESSMENT Fill in the Blanks in each figure A X P B C Q Y Z R Sides ------ ------ --- Sides ------ ------ --- Sides ------ - ----- --- Angles ------ ------ --- Angles ------ ------ --- --- Angles ------ ------ --- Vertices ------ ------ --- Vertices ------ ------ --- Vertices ---- -- Value Points Marks for each value points. Total Marks AB, BC, CA <A, <B, <C A, B, C 1 1 1 Triangle ABC 3 same for other two triangle
PROPERTIES OF TRIANGLE PROPERTY-1 Sum of three angles <PQR <QRP <RPQ P 60 0 60 0 60 0 1800 Q R P 900 450 450 1800 Q R The sum of measure three angles of a triangle is always 180 0
ASSESSMENT Find the missing angle in each of the following 90 0 ? ? 25 0 ? 90 0 47 0 35 0 60 0 Value Points Marks for each value points. Total Marks 1 1 1 600+35 0 =950 I. Triangle I. 1800-950 =850 Missing angle =850 3 Same marking procedure can be followed for others two triangles
PROPERTY-2 A AB= 4 cm BC= 5 cm AC= 3 cm B C Lets us add the sides in pairs. AB+BC=9 cm AC= 3 cm 9 is greater than 3 BC+AC=8 cm AB=4 cm 8 is greater than 4 AB+AC=7cm BC=5 cm 7 is greater than 5 Sum of any two side of a triangle is always greater than the third side.
ASSESSMENT Is it possible to draw a triangle with line segment of length given below? (a).3 cm, 4 cm, 7 cm (b). 6cm, 8 cm, 7 cm (c). 12 cm, 12 cm, 12 cm (d). 4 cm, 4 cm, 9cm Value Points Marks for each value points. 1 1 Total Marks NO 3cm + 4cm=7cm 2 a) Same marking procedure can be followed.
CLASSIFICATION OF TRIANGLES Triangles are classified in two ways- According to sides . According to angles. I. Classification according to sides If all the three sides of a triangle are of different length, the triangle is called a scalene triangle
A triangle whose any two sides are of same length, is called a Isosceles triangles A triangle whose all the three sides are of equal length, is called aEquilateral triangle
II. Classification according to angles. A triangles whose all the angles are acute, is called an Acute Angled Triangle
A triangles whose any one angle is a right angle, is called a Right Angled Triangle. A triangles whose any one angle is a obtuse angle, is called a Obtuse Angled Triangle.
ASSESSMENT Identify the acute, obtuse & right angled triangle Fill in the blanks. 1) In a isosceles triangle, any _____ sides are equal in length. 2) Any one angle of a obtuse angled triangle is ____ than 90 0 . 3) The sides of an ____ triangle are of equal length. 4) An obtuse angled triangle has ____ obtuse angle.
Marking scheme Marks for each value points. Value Points Total Marks Q.NO 1) 2 1 1 2) Greater 1 1 3) Equilateral triangle 1 1 4) 2 1 1
Value Based question Value Based question
For a rangoli competition the four participants of vedvyas house drew the following rangoli. They drew 6 equilateral triangle of side 8 cm each. A F E C B D a) What is the length of each side of the equilateral triangle ABC & DEF?. b) What value of the children is depicted here ?
Marking scheme Marks for each value points. Value Points Total Marks Q.NO a) 24cm 1 1 b) unity 1 1
High Order Thinking Skills (HOTS)
Fills in the blanks . a) Number of vertices of a triangle has ____ . b) If a closed figure is made of three line segment, then the figure is called ____ . c) If two sides of a triangle are of equal length, then the triangle is called ____ triangle . d) In an obtuse angled triangle only ____ angle is obtuse . e) In a triangle all the three angles are less 90 0 , then the triangle is called ____ triangle . . If the measure of one angle of a right angled triangle is 480 .find the others two angles
Marking scheme Marks for each value points. Value Points Total Marks Q.NO a) 3 1 1 b) Triangle 1 1 c) Isosceles 1 1 d) 1 1 1 e) Acute Angled Triangle 1 1 WORD PROBLEM One angle is 90 & another is 1800 - (480+900)=420 1 2 3
CLASS ROOM ACTIVITY Triangles Learning objectives:- To learn triangles and its various aspects and its uses. Materials Required:- A pack of playing cards. Procedure:- A groups of five students and many same groups will be formed. A pack of playing cards will distributed in each group. They will have to prepare pyramid of triangle shape. Observation:- a) Identify the type of triangle formed? b) Weather the base of a triangle are equal or not?
Concept MAP TRIANGLES LEARNING OBJECTIVES INTRODUCTION PROPERTIES OF TRIANGLES CLASSIFICATION OF TRIANGLES VALUE BASED QUESTION (VBQ) HOTS CLASS ROOM ACTIVITY ART INTEGREAION WORKSHEETS
SUMMARY A closed figure bounded by three line segments is called a Triangle. The sum of the angles of a triangle is 1800 . Sum of any two sides of a triangle is greater than the third side. According to sides the triangle has been classified in three types . i.e. equilateral , isosceles & scalene triangle. Equilateral Triangle :- All the sides are equal. Isosceles Triangle :- Any two sides are equal. Scalene Triangles :- All the sides are unequal / different. According to angles the triangle also classified into three types. i.e. acute angled, right angled & obtuse angled triangle. Acute Angled Triangle :- All the three angles are acute angle (< 900). Right Angled Triangle :- Any one of the three right angle. Obtuse Angled Triangle :- any one of the three is obtuse angle.(>900).
