subodh public school, rambagh crossing, jaipur€¦ · maths syllabus : 2020-21 learners 5 theme...
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1 |L-5
Subodh Public School, Rambagh Crossing, Jaipur Maths Syllabus : 2020-21
Learners 5
THEME – Competency Based Learning
Three key components of competency based learning are:
Skill – a task or group of tasks performed to a specified level of proficiency which
typically involves the manipulation of tools and equipment, or expertise that is
knowledge or attitude- based.
Knowledge – pre-requisite set of facts & information
Abilities – performance to a specified standard under specific conditions
Concepts Adjoining CBL:
Active Learning: thinking hard –deep and surface learning Metacognition: learning how to learn Differentiated Learning: design activity according to the levels of the students: inclusive learning
(students must be exposed to a variety of teaching-learning strategies) 21st century skills:
Learning skills (4C’s)-Critical Thinking, Creativity & Innovation, Collaboration, Communication
Literacy skills (IMT): Information Literacy, Media Literacy, Technology Literacy
Life skills (FLIPS): Flexibility and Adaptability, Leadership and Responsibility, Initiative and Self-
Direction, Social and Cross-Cultural Interaction
Formative Assessment and Feedback: concept of assessment for learning: questioning, formative feedback, peer and self-assessment, formative use of summative assessment
2 |L-5
Subject: Mathematics
Name of the book: Mathematics In Real Life-5
Publisher: Cordova Publications Pvt. Ltd
Author: Ms. Renu Punhani
TERM 1
S.N
o
Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement
Date
1 April
Lesson 1-
Numbers&
Numeration
Extension of
No. System (8-9
digit no.’s)
Place Value
Chart
Expanded and
Short Form
Comparison of
No.’s
International
Place Value Chart
Discussion
Problem based
Learning
Integration of
Virtue
(Enhancing
Communication
Skill)
Integration of
General
Awareness
Act.1 :-1 – in bk; 2-
a,c,e; 3-b,e ; 4-b,c;10
5,6,7, 11 - in bk.
Act. 2 :-1-c,f; 2- c,f ;
3- b,d,e ; 4-d,e,f; 5-
d,e,f ; 6-a,b,c,d ; 7- in
bk
Act. 3 :-1-b,e ; 2; 4; 5-
b,e ; 6- b,e
Act. 4 :-1-c,f ; 2-a,c ;
3-c ; 4-c
Act. 5 :- 2
Solve remaining ques,
review exercise. in P.
Copy.
Mental Maths corner
in book.
Collecting data
related to population
of our state and metro
cities. Expressing
them in Indian as
well as Inter-national
No. system.
Comparing them
Mental math sheet
Worksheet
Reads and writes
no.’s bigger than
Lakh.
Differentiate the
large numbers in
Indian and
International
Number system.
Estimation of no.’s
to the nearest place
value.
April 3 to 16
(9 days)
3 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching
strategy
In Class
Activity/Project/WS
DIY Learning
Outcome
2 April
Lesson 2- Roman
Numerals
Application Act. 1 :1 –h,i,j ; 2-h,i,j,k,l.
Act. 2 :1-g,h,i,j; 2- g,h,i,j ; 3- in bk
Rules of Roman Numerals
Worksheet
Solve remaining
ques, review
exercise. in P.
Copy.
Mental Maths
Corner in bk.
Learns rules of
writing Roman
numerals
April 17 to 20
(3 days)
3
April/May
Lesson 3
Addition and
Subtraction
The two
operations
Word Problems
Problem Based
Learning
Integrated with
English (word
Problems)
Integration of
Virtue (Sharing)
Act. 1 :1 – in bk; 2-b; 3-b ; 4
Act. 2 :1,2- in bk ; 3,4,8,9,10
Act. 3 :1-in bk ;
2 –a,c ( to check), e, g ; 4,7,8,10 –
in bk
Properties of ‘+’and ‘– ’
Related Terms
Concept of zero
Worksheet
Solve remaining
ques, review
exercise. in P.
Copy.
Mental Maths
corner in book.
Applies
operations of
no.’s in daily
life.
Understands
the concept of
zero.
Appreciates the
scientific
discoveries
April 21 to 27
(5 days)
4
May
Lesson 4
Multiplication
and Division
Multiplication
Division
Word
Problems
Problem Based
Learning
Integrated with
Music (Tables)
Integration of
Virtue
(Strength ,
Tolerance,
Sharing)
Act.1 :1 – c,d; 2-a,c; 3, 5
Act. 2 :1 in bk ;2-b,d,f ; 3- d,e,f.
Act. 3 : 1-b,e,h,k ; 2,4
Act. 4 : 1– in bk, 2, 3, 4 in bk
Act. 5 : 1-a,b (to check),1- g,j,n ;
3,5,8
Properties of ‘x’ & ‘÷’
Related Terms- Product,
Quotient, Remainder etc
Concept of Zero
Worksheet
Musical drill of tables
Solve remaining
ques, review
exercise. in P.
Copy.
Mental Maths
corner in book.
Applies the
knowledge finds
the product and
quotient of no.’s
and verifies the
same using
different
strategies
April 28 to May 9
(12 days)
4 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
5 July
Lesson 5
Simplification
Problem
Based Learning
Integration of
Virtue
(Communication
Skills)
Act. 1 :-1 –b,c,e,k,m ;
2 in bk
Act. 2 :-1, 3,5, 13, 14, 15
BODMAS – order of
operations
Worksheet
Mental Math
corner in bk
Solve
remaining
ques, review
exercise. in
P. Copy.
Understands application
of BODMAS and learn
about different types of
brackets.
Learns how to perform
multiple operations
simultaneously
July 1 to 6
(5 days)
6 July
Lesson 6
Factors and
Multiples
Review
Prime &
Composite No.’s
Factorization
H.C.F & L.C.M
Divisibility Tests
Word Problems
Active Learning
Problem based
learning
Act. 1 :-1 –in bk; 2-b; 3; 4 -
in bk
Act. 2 :-1, 3, 4, 6, 7- in bk ;
2-a ; 5 ; 8- d, i, n ; 9- d, i
Act. 3 :-1-a,c,g ; 2- b, c, g ; 3
– b, e, h ; 5, 7
Act. 4 :-1 - a, d, e, h ; 2- a, d,
e, h ; 4,7
Act. 5 :-1, 4, 5
Act. 6 :-1-in bk; 2-c ; 3-c; 4-
a
Divisibility test
(Worksheet)
Eratosthenes Sieve-
Identifying prime numbers
& composite numbers
Solve
remaining
ques, review
exercise. in
P. Copy.
Mental
Maths corner
in book.
Develops the concepts
of factors through
division of numbers.
Develops the idea of
multiples of a no.
through its multiplication
facts, skip counting etc.
Learns to find HCF and
LCM ,their relationship
and use in day to day life.
Learns divisibility tests
of different numbers
which helps in division
of large numbers
July 7 to 21
(13 days)
5 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
7. Lesson 7-
Fractions
Review
Addition &
Subtraction of
Unlike &
Mixed
Fractions
Simplification
of Fractions
Word Problems
of Addition &
Subtraction of
Fractions
Multiplication
of Fractions
Multiplicative
Inverse
Division of
Fractions
Word
Problems
Active learning
Problem based
learning
Integration of
Virtue (sharing)
Act. 1 :-1 ,2 , 3–in bk; 4-
a, b, c ; 5- a, b, c ; 6- c ; 7
– a, b ; 8- a, c ; 9-a ; 10-a
; 11- b, c ; 12- b, c
Act. 2 :-1- in bk ; 2-a, i, j,
k, l; 3-a, b
Act. 3 :-1-a,d, e, h ; 2- a,
d, e, h
Act. 4 :-1 – a, d, g, h, i ;
2-a ; 3-b
Act. 5 :-1- in bk; 2- a e,f;
3- a e,f; 6, 7
Act. 6 :-1-In book; 2-a, d,
g ; 3- a, d ; 4- a,d,g ; 5- c
Act. 7 :-1-in bk ; 2-a, b, c,
d, e
Act. 8 :1 in bk ; 2- a, d, g
; 3- a, b, c, j, k, l ; 6, 7,
10
Activity sheet
Worksheet
Solve
remaining
ques,
review
exercise. in
P. Copy.
Mental
Maths
corner in
book.
Acquires
understanding about
fractions.
Identifies and forms
equivalent fractions
Learns how to
compare fractions.
Able to perform basic
operations with
fractional numbers
and apply the concept
in day to day life.
July 22 to Aug 6 (12 days)
6 |L-5
Term II
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
8 August
Lesson 10
Unitary Method
To find value of
one and many
Active
learning
Problem
based learning
Integration
of Virtue
(Diligence)
Act. 1 :3,4
Review Ex :- 2,6
To find value of one
‘÷’
To find value of many
‘ x’
Worksheet
Solve
remaining
ques,
review
exercise. in
P. Copy.
Mental
Maths
Corner in
Book
Is able to create and
solve simple real life
situations using
multiplication and
division i.e. finding the
value of one and value
of many.
Aug 7 to 11
(3 days)
9 August
Lesson 20 Lines &
Angles
Line, Line
Segment, Ray &
Plane
Angles
Measuring Angles
Construction of
Angles
Types of Angles
Types of Lines
Critical thinking
Integration of
Art/Craft
Integration of
Virtue
( Creativity)
Act. 1 :1, 2, 4, 5 in bk ;3- b, c
Act. 2 :2-a, b ; 3, 4, 5, 7, 8, 9,
10 – in bk ;
6 – a, g, h
Worksheet
Activity Sheet
Art integrated – Tangram
Activity
Solve
remaining
ques,
review
exercise. in
P. Copy
Mental
Maths
Corner in
Book
Explores idea of angles
and shapes.
Classifies angles into
right , acute, obtuse and
represents them by
drawing using protractor.
Learns about different
types of lines through –
(Joyful Learning)
Aug 13 to 26
(5 days)
REVISION
Aug 27 to 30
(4 days)
7 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
10 October
Lesson 8 Decimal
Numbers
Review
Conversion of
Fractions into
decimals
Decimals, words
and figures
Expanded form
Like and unlike
decimals
Comparison,
ascending and
descending order
Active Learning
Problem based
learning
Act. 1 :1 in bk; 2 a, b, c in
copy ; 3- a, e,f
Act. 2 :1- a, e ; 2-a, e ; 3-a, c,
e
Act. 3 :1-c ; 2- in bk ; 3-a ;
4- a ; 5- a
Act. 4 :1 – a, b, i, j ;
2a,b, i, j
Worksheet
Solve
remaining
ques, review
exercise. in
P. Copy.
Mental
Maths corner
in book.
Able to express fractions
as decimal notation and
vice-versa
Sept 1 to 7
(6 days)
REVISION
Sept 8 to 12
(5 days)
11 October
Lesson 9
Operations on
Decimal Numbers
Addition,
Subtraction,
Multiplication and
Division
Active Learning
Problem based
learning
Integration of
Life Skills
Act. –1 :-1-d, e, f; 2- d, e, f ;
3- d, e, f ; 6,7
Act.- 2 :-1- f, g, h, i ; 2-b, e,
h ; 4
Act.- 3 :-1-c, f, i ; 2- a, b, c ;
3- d, e, g, i ; 4, 7, 8
Worksheet
Solve
remaining
ques, review
exercise. in
P. Copy.
Mental
Maths corner
in book.
Able to perform various
operation using
decimal no.’s
Sept 28 to Oct 10 (10 days)
8 |L-5
S.No Month
Ch. No. / Topic/ Sub
Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement
Date
12 November
Lesson 11
Money
Review of Addition,
Subtraction,
Multiplication and
Division of money
Active Learning
Integration of
Life Style
Management
Act. 1 :in bk
Act. 2 :in bk
Act. 3 :1-a ; 2 ; 3- a, c ;7
Act. 4 :2, 5, 6
Act. 5 :1- b, c ; 2-, c
Act. 6 :4, 5
Day to day examples and
activity through market
scene.
Solve
remaining
ques, review
exercise. in
P. Copy.
Mental
Maths corner
in bk.
Applies four fundamental
operations in solving day to
day problems involving
money.
Oct 12 to16
(5 days)
13 November
Lesson 14
Bills
Experiential
Learning
Integration of
Virtue (Honesty)
Act. 2
Activity based on cost of
different things and making
bills.
Solve
remaining
ques,
review
exercise. In
P.Copy.
Learns to read and analyse
a bill.
Understands the
importance of bills
Plans shopping.
Nov 9 to 18
(4 days)
14 November
Lesson 12Percentage
Conce1pt of
Percentage
Percentage
conversions
Money , number &
metric measures as
percentages.
Word Problems
Accelerated
Learning
Integration of
Virtue (Diligence)
Act. 1 :1 c, d ; 2 – f, g, h, i ;
3- f, g,h, i ; 4 – f, g, h, i ; 5- c,
d, e, f, g
Act. 2 :6, ,7, 8, 9, 10
Act. 3 :1-e, f, g, h ;
2- a, d ; 5,7,8
Act.4 :1-a,b – in bk ;c,d ;
3Act. 5 :1- c,d, e ; 2- b, c ; 5
6
Worksheet
Solve
remaining
ques,
review
exercise. In
P.Copy.
Mental
Maths
corner in
book.
Understands the concept
of %.
Conversion of fraction
into % and vice versa.
Able to solve problems
related to % in day to day
life situation.
Oct 19 to 30 (10 days)
9 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/
WS
DIY Learning Outcome Achievement Date
15 November
Lesson 13
Profit and Loss
Experiential
Learning
Integration of Virtue
(Imagination,
Liberty,
Truthfulness)
Act. 1 : 1- in bk ;
2 – a, b, c in b, k
,d, e ; 3 – a, b ;
4- a, b ; 6, 7, 8
Activity
Worksheet
Solve
remaining
ques, review
exercise. In
P. Copy.
Mental
Maths corner
in book.
Understands the concept
with logical thinking and
good reasoning skills.
Application of formulae to
calculate profit and loss
in day to day affairs.
Nov 2 to 7
(6 days)
16 November/
December
Lesson 15
Average
Day to day use of
average
Active Learning
Integration of
Virtue (Intellectual
Excellence)
Act. 1 :1 a, b ; 3,
4, 6
Review ex : 5
Recording marks
of different
students and
finding average
marks.
Activity
Worksheet
Solve
remaining
ques, review
exercise. In
P. Copy.
Mental
Maths corner
in book.
Able to apply the concept
of average .
Nov 19 to 23
(4 days )
10 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
17 December
Lesson 16
Speed, Distance,
Time
Calculation using
formula
Ability based
learning
Integration of Virtue
(Vision,
Imagination)
Act. -1 :- 1- in bk ;
2-a, d ; 3 – a, b ; 5, 8
Act.-2: 1-a,b; 2-a,b ; 3
Activity Worksheet
Solve
remaining
ques, review
exercise. In
P.Copy.
Mental
Maths corner
in book.
Learns the relation of
speed with Distance &
Time.
Learns to calculate speed,
distance ,time
Application of formulae
Nov 24 to Dec 2
(7 days )
18 December
Lesson 17
Measurement
Review of grade 4
Units of
Measurement
Metric Measures in
Decimal Form
Addition ,
Subtraction,
Multiplication &
Division
Word Problems
Experiential
Learning
Blended Learning
Integration of
Virtue
(Perseverance,
Carefulness)
Act 1 :1- b, c; 2- b, c ; 3- b, c
; 4- c, d ; 5- c, d
Act. 2 :1- a, e, l ; 2-a, d, h
1-c,d,f,k 2-b,e,i,j,k (For
Information)
Act. 3 :1- b, d, f ; 2- b, d, f;
5,6,7
Act. 4 :1 – e, f ; 3
Act. 5 :1- d, e ; 4
Worksheet
Solve
remaining
ques, review
exercise. in
P. Copy.
Mental
Maths
corner in
book.
Relates different units of
length, weight and
volume.
Able to convert larger
units to smaller units and
vice-versa.
Applies the four
fundamental operations
in solving problems
involving length, mass
,capacity.
Dec 7 to 15
(8 days )
11 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
19 December/ January
Lesson 18 Time
Review of grade 4
12-hour clock &
24- hour clock
Conversion of
Time
Addition &
Subtraction
Word Problems
Reading the
Railway time-table
Experiential
Learning
Integration of
Virtue (Discipline)
Integration with
Life Style
Management
Act. 1 : in bk
Act. 2 :1, 2 – in bk
Act. 3 :1-b, d, f ;2–a, c, e
Act. 4 :1- a, c ; 2- a, d
Act. 5 :1- a ; 2-a ; 5
Act. 6 : 2
Reading railway timetable
(24 hour clock)
Solve
remaining
ques, review
exercise. in P.
Copy.
Mental Maths
corner in book.
Relates 24 hr. clock with
respect to 12 hr. clock.
Expressing time in am
and pm.
Calculates time interval.
Learns to add and subtract
time.
Dec 16 to 28
(10 days)
20 January
Lesson 19
Temperature
Basic
knowledge of
the two scales.
Conversion
Experiential
Learning
Act. 1 : 1- c, d ;
2 – c, d
Solve
remaining
ques, review
exercise. In
P. Copy.
Mental
Maths
corner in
book.
Understands the
difference between oC
and oF.
Able to convert
the temp. reading into
corresponding scale.
Dec 29 to 31
(3 days)
12 |L-5
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement
Date
21 January
Lesson 21 Circles,
Triangles and
Quadrilaterals
Polygons
Triangles
Quadrilaterals
Circles
Bisecting
Angles
Ability based
learning
Integration of
Art/Craft
Act. 1 :1,2, 4 in bk ; 3-a, d
Act. 2 :2, 3, 10, 11, 12- in bk
; 1 ; 4- a, d ; 8, 9
Act. 3 :1, 2, 3 in bk
Rev. Ex.:3,5(a),8
Circles-Geometrical patterns
using compass by means of
arcs and semicircles
Solve
remaining
ques, review
exercise. In P.
Copy.
Mental Maths
corner in book.
Difference between
plane and solid shapes
Properties of different
geometrical shapes
Parts of circles
(Joyful Learning)
Jan 11 to 16
(6 days)
22 January Lesson 22
Perimeter, Area
and Volume
Review of grade 4
Perimeter& area of
square ,rectangle &
triangle
Word Problems
based on
Perimeter& Area
Volume of cube &
cuboid
Word problems based
on volume.
Ability based
learning
Integration of
virtue
(carefulness,
perseverance)
Act. 1 : 1- c, d ;
2 – c, d
Worksheet
Solve
remaining
ques, review
exercise. In
P. Copy.
Mental
Maths
corner in
book.
Understanding the
difference between
Perimeter ,Area and
Volume.
Learns application of
formulae.
Could differentiate the
units.
Able to solve problems
related to day to day life.
Jan 19 to 27
(7 days)
13 |L-5
DIY- Do it yourself
Students are expected to solve and practice all the questions given in book.
S.No Month
Ch. No. / Topic/
Sub Topics
Teaching strategy In Class
Activity/Project/WS
DIY Learning Outcome Achievement Date
23 February
Lesson 24 Data
Handling
Pictograph
Bar Graph
Circle graph
Frequency
table
Critical thinking
Integration of
virtue
(Carefulness,
Perseverance)
Act 1: in bk;
Act 2:2;
Act 3-1 in bk;3
Making frequency table,
pictograph & bar graph
Solve
remaining
ques, review
exercise. In
P. Copy.
Mental
Maths
corner in
book.
Learn to collect &
organize data.
Learns arranging &
representing data in
different forms.
Jan 28 to
Feb 2
(5 days)