mensuration
TRANSCRIPT
DELHI TEACHERS’ TRAINING COLLEGE
DEENPUR, NAJAFGARH, NEW DELHI – 110043(Affiliated to G.G.S.I.P. University, Delhi – 110075)
B.Ed. 2015 – 2017Semester - II
Submitted By:- Swati GhanselaEnrollment No.- 05940202115Sem.- IIBatch- 2015-17
MENSURATION
Multimedia Lesson Plan
Contents Introduction Important Terms Figures Measuring Plain Figures Measuring Solid Figures Review Of Formulae Group Members
General Objectives:-i) To enable the students to understand the concept of
mathematicsii) To develop the logic and reasoning power of the studentsiii) To arouse the interest of the students in the quantitative side
of the worldSpecific Objectives :- iv) To enable the students to calculate the area of square,
rectangle, trianglev) To enable the students to calculate the perimeter of square,
rectangle, triangleStatement of Aim:-Today we are going to study the concept of Area, Perimeter
Name of the School: BVM SchoolClass: 6th Subject: Mathematics
Lesson PlanTopic: Mensuration
Teaching Aid:-• Power point presentation
Previous Knowledge:-• Students are aware of:• Shapes like solid, triangle, rectangle
Recapitulation:-• What are plane figures• Formula of Area of Square, Rectangle, Triangle• Perimeter of Square, Rectangle, Triangle
Homework:-• Solve 5 questions each related to area, perimeter from your
textbook.
INTRODUCTION
• Mensuration is the branch of geometry which deals with the measurement of area, length or volume. It is also the act or process of measuring.
• The Mensuration took its birth in Egypt. Then it was applied and expanded by great people like Pythagoras, Euclid, Archimedes, Ptolemy etc and further developed by Halley, Bernoulli's, Euler, Newton etc.
Important Terms
• Solid: A body or geometric figure having three dimensions.
Important Terms• Surface Area: The total area of the surface
of the three dimensional figure.
Important Terms• Perimeter: The continuous line forming the
boundary of a geometrical figure.
Important Terms• Volume: The total space occupied by an
object or the space inside a container.
Figures• Plain figures: Plain figures are all about flat
2-dimensional shapes such as circle, rectangle, etc.
• Solid Figures: Solid Geometry consists of all 3-dimensional figures like cubes, spheres, etc.
Measuring Plain Figures SQUARE :- All sides are equal in a square, therefore,
No. of sides = 4 Perimeter = 4 X Side Area of Square: Side X Side
Side
Example
Measuring Plain Figures TRIANGLE:-• Area of Triangle: ½ X base X height
• Perimeter of Triangle: Side +Side +Side
Height
Base
Side
ExamplePerimeter
Measuring Plain Figures RECTANGLE:-Opposite sides are equal, henceArea = Length X BreadthPerimeter = Length+ breadth+ length+ breadth
= 2(length + breadth)
Length
Bre
adth
Video
Review Of FormulaeShapes Perimeter Area Curved
Surface AreaTotal Surface
AreaVolume
Square 4 X Side Side ^2
Rectangle 2(l + b) Length x Breadth
Triangle Side+side+side
½ X b X h
Maths Achievement Test
TABLE-1: SHOWING THE WEIGHTAGE ALOTTED TO THE OBJECTIVES
OBJECTIVES MARKS ALLOTED PERCENTAGE
Knowledge 05 12.5%
Understanding 17 42.5%
Application 16 40%
Skills 02 5%
TOTAL 40 100%
S.NO
TOPICS MARKS ALLOTED
PERCENTAGE
1. Fraction 13 32.5%
2. Playing with numbers
14 35%
3. Mensuration 13 32.5%
TOTAL 40 100%
S.NO
FORMS OF QUESTIONS
MARKS ALLOTED
PERCENTAGE
1. Very short answers(VSA)
7 17.5%
2. Short answers(SA)
8 45%
3. Long/ essay type answers
15 37.5%
TOTAL 40 100%
TABLE-2: WEIGHTAGE GIVEN TO THE TOPIC
TABLE-3: WEIGHTAGE GIVEN TO DIFFERENT FORMS OF QUESTIONS
FORMS OFQUES
TOPIC
KNOWLEDGELEVEL
UNDERSTANDINGLEVEL
APPLICATIONLEVEL
SKILLS TOTAL
V.S.A S.A L.A V.S.A S.A L.A V.S.A S.A L.A
INTEGERS 3(1) 5(1) 3(1) 2(2) 13(5)
FRACTIONS 1(1) 1(1) 3(1) 1(1) 3(1) 5(1) 14(6)
DECIMALS 1(1) 3(1) 5(1) 1(1) 3(1) 13(5)
TOTAL 5(3) 17(5) 16(6) 2(2) 40(16)
BLUEPRINTClass: VISubject: Mathematics
Time: 80 minM.M: 40
VSA: Very Short Answers QuestionsSA: Short Answer QuestionsLA: Long Answer Questions
Number in bracket shows number of questions.Number outside the bracket shows marks given to each questions.
Subject- MathematicsClass-VI
Time: 80 minutes M.M: 40General Instructions
Section ‘A’ contains 5 very short answer questions,1 marks eachSection ‘B’ contains 5 short answer questions, 2 marks eachSection ‘C’ contains 4 long answer questions, 3 marks each
Section-AQ1. Write the next 3 natural numbers after 10999.Q2. Find the perimeter of a square with a side of 25 cm.Q3. Identify the successor of 2440701Q4. Find the sum by suitable rearrangement of 837+208+363Q5. Measure the length and the breadth of rectangle Q6. Write 3 equivalent fraction of 3/5Q7. Find the fraction having denominator 16 equivalent to 3/8
Section-BQ8. Find the product using suitable propertiesa) 738 X 103 b) 854 X 102 c) 258 X 1008
Q9. Justify through examples. If the product of two whole number is 1 , can we say that one of both of them will be 1?
Q10. Find the perimeter of the table top measures 2m 25 cm by 1m 50cm.Q11. Calculate , A piece of string is 30 cm long. What will be the length of each side
if the string is used to form.a) A squareb) an equilateral triangle c) a regular hexagonQ12. Find the equivalent fraction of 3/5 having:-b) Denominator 20 b) numerator 9 c) denominator 30Q13. Replace the following fraction to simplest form :-c) 48/60 b) 150/60 c) 84/98
Section-CQ14. Find who read less. Ila read 25 pages of a book containing 100 pages, lalita
read 2/5 of the same book. Q15. Find the common factors of :-d) 20 & 28 b) 15 & 25 c) 35 & 50 d) 56& 120 e) 5 & 15Q16. Explain the number of tiles whose length and breadth are 12cm and 5cm resp.
will be needed to fit in a rectangular region whose length and breadth are resp:- a) 100cm & 144cm b) 70cm & 36cm
MARKING SCHEMES.No
ANSWERS MARKS
1 11000,11001,11002 12 4X25=100cm 13 2440702 14 1408 15 Length=4cm,breadth=2cm 16 6/10, 9/15, 12/20 17 1x10 + 4x1/100 + 9x1/1000 18 a) 76014
b) 87108c) 260064
3
9 1x1=11x6=6
3
10 Perimeter=7.5m 3
S.No ANSWERS MARKS
11 a) side= 7.5cmb) Side=10cmc) Side=5cm
3
12 a) 12b) 15c) 18
3
13 a) 4/5b) 5/2c) 6/7
3
14 Ila has read less number of pages 5
15 a) 1,2,4b) 1,5c) 1,5d) 1,2,4,8e) 1,5
5
16 a) 240b) 42
5
Observation of student at play (learning and
cognition)
B.Ed-102
Individual Behaviour:-Individuals having dominating behaviour towards their team members & were constantly making strategies.•I found them a bit jealous of others & very aggressive to other team members Group Behaviour:-
•Students were cooperative with their team members.•Students have good leadership qualities because they were trying to resolve the issues & disputes between the team•They were creating opportunities for goal for other members.•They were appreciating each others.
Observation of 8th class student playing Basketball
Language used:-•They were talking to others in their local language•Their language was a little abusive but it was common among themThey were using sign language With other team members
Group Structure:-•Their group was homogeneous (only boys of same age)
Gender Behaviour:- •Their behaviour were friendly with boys but They show irritating behaviour to the girls
Motor Skills:-•They were very active boys, having good stamina, They were using their arm and legs effectively while throwing the ball
Popular Culture:-
• Boys were following indo-western culture even in schools and it was seen in their hairstyles, dressing
• children were using slang languages, argue with their elders and don’t obey the rules & regulations