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)