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LIST OF COMPETENCY WISE TLO
CLASS: I SUBJECT: MATHEMATICS
LESSON: Shapes and sizesCOMPETENCIES TLO
Knowledge
-Spatial relationship
-Shapes
-To be able to know the meaning of the terms – inside-outside , bigger-
smaller , biggest-smallest , top-bottom , nearer-farther , nearest-
farthest , on-under , above – below and use them in the right context
-To be able to develop the skill of reading , spelling and pronunciation
Understanding the basic
concepts of shapes
-To be able to classify and describe the collection of objects on the
basis of shapes and other observable properties.
-To be able to recognize visually the 3-D shapes – spherical, cylindrical
and conical and 2-D shapes-circle, square, rectangle and triangle.
-To be able to observe and describe the way shapes affects
movements- rolling and sliding.
LESSON: Numbers 1-9COMPETENCIES TLO
Knowledge
Numbers 1-9
-To be able to recognize and read numbers from 1-9.
-To be able to write numbers from 1-9 in the correct format.
-To be able to count the objects in a collection (upto 9).
-To be able to respond to a specific number(1-9)
Understanding the basic
concepts of ordering and
comparison of numbers
-To be able to sequence the numbers –before , after and between .
-To be able to understand the order of numbers and arrange them in
either ascending or descending order as required.
LESSON: Putting numbers altogetherCOMPETENCIES TLO
Knowledge
-To be able to gain knowledge on addition and apply in apt situation.
-To be able to understand that addition is the process of putting
objects of two collection together.
-To be able to know that zero represents the absence of something
Understanding the basic
concepts of ordering and
comparison of numbers
-To be able to understand the terms-putting together, altogether
-To be able to understand that no change in number when zero is put
together.
-To be able to understand how and where to write the symbol “ + “
(plus)
Ability to compute
-To be able to solve the given addition fact
-To be able to write addition facts using two collection of objects and
symbol “ *+” and “ = “
-To be able to put 2 numbers in various ways to get a particular
number.
LESSON: Subtraction (Take away )COMPETENCIES TLO
Knowledge
-To be able to gain knowledge on subtraction and apply in apt
situation.
-To be able to know that subtraction is taking away objects from the
collection.
-To be able to count and tell how many taken away and how many
left , thereby finding the answer.
Understanding the basic
concepts
-To be able to understand the usage of symbol “ – “ (minus)
-To be able to understand that no change in number when zero is
taken away from the collection.
Ability to compute
-To be able to compute and say how many more to be added , thereby
proving addition and subtraction are complement to each other.
Problem solving -To be able to solve problems
LESSON: Numbers 10-20
COMPETENCIES TLOKnowledge -To be able to bring out the place value by putting them in bundles of
10’s and ones.
LESSON: Time and its values
COMPETENCIES TLOKnowledge- -To be able to understand that time is precious.
Understanding Basic Concept-To be able to distinguish between events occurring in time using the terms- earlier, later.
-To be able to have a quantitative feel of long and short duration.
LESSON: Measurements
COMPETENCIES TLOKnowledge- -To be able to know the terms-long, short, tall, thick, thin, heavy and
light.
Understanding basic concepts
-To be able to distinguish between the objects based on its-Length(both comparative form and superlative form)Height (comparative form and superlative form)
Width (comparitive and superlative form )and weight(comparative and superlative forms)
-To be able to estimate the length using hand span.
-To be able to understand that hand span is a non-uniform unit.
-To be able to measure the distance between 2 places using feet.
LESSON: Numbers 21-50
COMPETENCIES TLO
Knowledge-To be able to identify numbers from 21-50-To be able to identify the bigger number from the collection.
LESSON: Tens and ones
COMPETENCIES TLO
Understanding the Basic Concept
-To be able to identify the number of tens and ones in a given number.
-To be able to read and learn the number name.
-To be able to arrange the numbers in an order.
LIST OF COMPETENCY WISE TLO
CLASS: II SUBJECT: MATHEMATICS
Lesson: 1 What is long, What is Round?COMPETENCIES TLO
Knowledge -Is able to identify the basic geometrical shapes.
Understanding the basic concepts
-Is able to identify the objects that are round in shape.-Is able to identify the long objects.-Is able to differentiate between rough and smooth surfaces.-Is able to identify and classify objects which roll and slide-To be able to infer that objects can roll or slide only on an inclined plane.-To be able to analyze that lighter things slide more easily than the heavier things
Lesson: 2 Counting in GroupsCOMPETENCIES TLO
Knowledge-Be able to estimate the number in a given collection of articles-.Be able to write the numbers in sequence
Understanding basic concepts
- Be able to recognize the pattern and count in groups.- Be able to differentiate between ordinal and cardinal numbers
Ability in Computation- Be able find the number greater than and lesser than a given number- Be able to compare and arrange the numbers in ascending and descending order.- Be able to perform skip counting- Be able to perform simple addition
Lesson: 3 How much can you carryCOMPETENCIES TLO
Knowledge -Be able to read the weights written on packets
Understanding basic concepts-Be able to observe and differentiate between light and heavy objects.- Be able to recognize, compare and tell which object is heavy and which object is light by observation.- Be able to understand that heavier side goes down- Be able to guess how much weight they can carry.
Problem Solving -Be able to understand the concept of equal weight
Lesson:4 Counting in TensCOMPETENCIES TLO
Forming numbers correctly-Be able to read and write numbers correctly from the flash card/number cards
Understanding the basic concepts
- Be able to group objects as tens and then form numbers.-.Be able to count concrete objects to written symbols and write their number names.-Be able to arrange things in groups of tens.-Be able to identify the various arrangements’ of ten.
Ability to Compute -Be able to compute the amount in tens / ones for the cost of the items.
Lesson: 5 PatternsCOMPETENCIES TLO
Understanding the basic concepts
- Be able to observe and understand the different patterns.-Be able to recognize and identify the basic patterns.- Be able to understand the basic rules of creating a pattern.-Applies the knowledge to form patterns. and is able to create one’s own pattern.
Knowledge - Be able to form patterns using numbersAbility to Compute -Be able to recognize the number patterns in the grid and completes
the grid.Problem solving -Be able to create one’s own patterns.
Lesson: 6 Footprints.COMPETENCIES TLO
Forming numbers correctly -Be able to count the shapes from any given figure
Understanding the basic concepts
-Be able to find the differences and similarities in the shapes which come up after tracing.-Is able to recognize and differentiate the various shapes in the foot print of animals- Able to visualize shapes formed in hand print, finger print and foot print from various angles
Problem solving -Develops interest and applies in day to day life.
Lesson: 7 Jugs and MugsCOMPETENCIES TLO
Knowledge -Be able to estimate the capacity of the containers(using terms like 2 glasses, 4 mugs)
Understanding basic concepts -Be able to understand the higher and the lower unit of capacity.-Be able to understand the number of times the small containers are used to fill a big container.-Be able to understand the sizes of various containers used and compares in terms of capacity
Problem solving -Applies knowledge in daily activities.
LIST OF COMPETENCY WISE TLO
CLASS: III SUBJECT: MATHEMATICS
LESSON 1: Where To Look FormCOMPETENCIES TLO
Forming numbers correctly-Identifies 2D , 3D shapes-Identifies the mirror halves-Draw different patterns using dot
Understanding the basic concepts
-Identifies and understands shapes and symmetries.-Can understand the different views, how the objects look like from different sides?
Problem solving-Can create different shapes or masks through paper folding and paper cutting
LESSON 2: Fun with NumbersCOMPETENCIES TLO
Forming numbers correctly- Read and write the numbers in figures and in words-Write the number in expanded form
Understanding the basic concepts
-Complete the numbers/ordering of numbers.
Problem solving-Looks at the arrangement of objects and uses the strategy of counting in groups.
LESSON 3: Give and takeCOMPETENCIES TLO
Forming numbers correctly -Add 2 & 3 digit numbers using expanded notationUnderstanding the basic concepts
-Understand that sum /add/together /in all are for addition
Ability to Compute-Adds 2 & 3 digits numbers with grouping and without grouping.-Subtracts 3-digit numbers without grouping and with grouping-Mental Maths (Simple addition / subtraction)
Problem solving Solves problems related to routine life
LESSON 4: Long & short
COMPETENCIES TLO
Knowledge-Knows about the tools used for measuring length i.e. a ruler, a measuring tape, metre-scale.-Knows how to use a ruler.
Understanding the basic concepts
-Understands that the basic unit for measuring length is ‘metre’
Ability to Compute-Finds distance between two points.-Estimates and then verifies the distance by measuring.-Measures length using appropriate standard units (cm, m etc.)
LESSON 5: Shapes & DesignCOMPETENCIES TLO
Forming numbers correctly --Recognizes the shapes like, triangles and rectangles.
Understanding the basic concepts
-Understands the term 2-D shapes and 3-D shapes.
-Can draw 2-D shapes
-Associates the objects like pencil, glass, book, lunch box, ice cream
cone etc. with the 3-D shapes.
-Observes the properties of 3-D shapes. (like-flat and curved surface,
edges, corners)
Problem solving -Differentiates the 2-D shapes and 3-D shapes.
-Groups the objects on the basis of their shapes.
LESSON 6: Time goes onCOMPETENCIES TLO
Forming numbers correctlyKnowledge
-Understands the Use of time, Use of clock & Use of calendar
Understanding the basic concepts
-Can draw the face of clock
Problem solving-Makes own time line
-Solves problems based on time
LESSON 7: Who Is Heavier?
COMPETENCIES TLOKnowledge -Knows how to use balance?
-Knows the unit of measuring weight (kg, g).
Understanding the basic concepts
-Estimates the weight of familiar things-Compares the items which are heavier?
Problem solving -Can list the things according to the weight.
LESSON 8: How Many Times? Can We Share?COMPETENCIES TLO
Knowledge -Knows the symbol of X and Understanding the basic concepts
- Understands multiplication as REPEATED ADDITION and division as REPEATED SUBTRACTION
Ability to Compute-Can multiply by 10, 100, 1000-Can arrange the objects in rows and columns-Divides the objects equally in groups.
Problem solving -Can solve word problems based on multiplication and division
LESSON 9: Play With Patterns COMPETENCIES TLO
Knowledge- Identifies simple patterns,
- Identifies Patterns in surroundings (at home or in school)
Understanding the basic concepts
-Can make patterns and designs from straight lines and geometrical shapes.
- Identifies Patterns of odd and even numbers
Problem solving -Decodes the secret messages based on patterns..
LESSON 10: Jugs And MugsCOMPETENCIES TLO
Understanding the basic concepts
-Understands that only liquids can be measured by containers of known capacity.
-Compares different containers in terms of capacity.Ability to ComputeUnderstanding the basic concepts
-Estimates and guesses the quantity.
Problem solving -Solves word problems based on capacity.
LESSON 11: Smart ChartsCOMPETENCIES TLO
Understanding the basic concepts
- Records data using tally marks.
-Records the data in terms of pictograph by choosing appropriate scale and unit.
Problem solving -Presents the data in form of bar charts and tables.
-Draws conclusions and solves problems based on given data.
LESSON 12: Rupees And PaiseCOMPETENCIES TLO
Understanding the basic concepts
- Understands the need and value of money.
-Writes money in short and long form.Ability to ComputeUnderstanding the basic concepts
-Converts rupees to paisa and vice versa
-Can prepare bill.
Problem solving -Can apply the concept of money in daily life.
LIST OF COMPETENCY WISE TLO
CLASS: IV SUBJECT: MATHEMATICS
Lesson: 1 Building with bricksCOMPETENCIES TLO
Knowledge
1. To have clear idea of brick pattern, the floor pattern and the wall
designs
2. To appreciate the various patterns in building designs(arch , Jally
etc.,)
Understanding the basic concepts
3. To identify the different sides of a brick
4. To get to know about the length, breadth and height of the brick
5. To count the number of edges , corners and faces of a three
dimensional figures
Ability to Compute 6. Finding the cost of number of bricks using the given amount
Problem solving 7. finding the number of bricks needed to build a wall of given length
Lesson: 2 Long and ShortCOMPETENCIES TLO
Knowledge 1. Knows various units of length
Understanding the basic concepts
2. To measure and record the heights of the family members, friends.
3. Comparing their heights to find the tallest and shortest in their
group
4. To guess the distance between two points and then verify the real
distance by measuring the same
5. Finding farthest and nearest point in a plane surface
6. Estimates the length of objects
Ability to Compute7. To find the difference of distance between two runners
of a race
8. Converts higher units to lower units and vice versa
Problem solving 9. Solves basic problems based on length measurement
Lesson: 3 A trip to BhopalCOMPETENCIES TLO
Understanding the basic concepts
1. Understands the properties of addition, subtraction, multiplication, division.2. Identifies greatest and smallest number from the given numbers.
Ability to Compute
3. To calculate the number of children going for the trip,
Students: Bus ratio, No. of seats in each bus(deluxe, mini, etc.,),
Kilometre : hour ratio, Speed : Distance ratio, Student : Money ratio,
Student :Ticket ratio, Trip : Time ratio
Problem solving 4. Solves basic problems related to everyday life based on numbers.5. Solves number puzzles
Lesson: 4 Tick, Tick , TickCOMPETENCIES TLO
Forming NumbersUnderstanding the basic concepts
1. Reads calendar and clock in various formats.
2. Writes time in 12 hours and 24 hours format.
3. Denote the time on the clock’s face
Ability to Compute 4. calculate the duration of time between two given time
5. Converting 12hrs clock time into 24 hours time and vice versa
Problem solving 6. Solves problems related to time. Children should be able to identify
the objects at distance like farther & nearer
Lesson: 5 The way the world looks COMPETENCIES TLO
KnowledgeForming Numbers
1. Identifies different views of an objects
2. Draws simple maps and shapes
3. Map route for different places.
Understanding the basic concepts
4. Reads school map, city map and other maps
5. Identification of objects from their left, right and front view
6. Identification of objects from their side, top ,far off view
Problem solving7. Forming a dice with 1to 6
8. Applies the concept of maps and shapes in real life
Lesson: 6 The Junk SellerCOMPETENCIES TLO
Understanding the basic concepts
1. Understands factors of a multiple, Buying and selling, “loan
2. Reads and prepares bills
Ability to Compute3 . Which is more and which is less in a transaction
4. To multiply a number by three digit number
Problem solving5. Applies concept in real life
6. Solves problems related to multiplication
Lesson: 7 Jugs and MugsCOMPETENCIES TLO
Understanding the basic concepts
1. Understands the concept of volume / capacity
Knowledge 2. Knows the units of capacity
Ability to Compute 3. Estimates the volume of a container
Problem solving 4. Measures the capacity of a container
5. Solves problem related to capacity
Lesson: 8 Carts and WheelsCOMPETENCIES TLO
Knowledge 1.Knows the use of compass and
2. Identifies radius and diameter
Understanding the basic concepts
3. Understands the concept of circle and curve
4. Draws circle and shapes with the help of circles
Listing the thing found in circular shape, Tracing of circular objects,
5. Drawing an imperfect circle using stick on sand/field/
floor (free hand), Drawing an imperfect circle using stick and rope on
sand/field/floor
Ability to Compute 6. Finding diameter & radius
Problem solving7. Finding centre of a circular sheet by paper folding
Reasoning out for the circular regions of play area
Lesson: 9 Halves and QuartersCOMPETENCIES TLO
Knowledge 1. Know sharing, division into equal and unequal parts
Understanding the basic concepts
2. Estimates fraction of a whole. Understands the concept of half and
quarter using chapatti, cake
3. Understands fraction as division.
4. Knows concept of equivalent fraction.
Ability to Compute5. Dividing a collection into half quarter and three fourth. Sharing and
dividing equally.
Problem solving 6. Solves problem related to fraction
Lesson: 10 Play with patterns COMPETENCIES TLO
KnowledgeUnderstanding
1. Identifies patterns
2. Explores patterns in numbers / alphabets/ shapes etc.
Codes and decodes patterns
Identification 3. To identify the pattern in a given sequence and complete it.
Logical thinking 4. To Solve puzzles using single and double digit numbers
Lesson: 11 Smart Chart
COMPETENCIES TLO
Knowledge1. Counting the number of similar objects.
2. Recording data using tally marks.
Understanding basic concepts
3. Collect the data in terms of pictograph by choosing appropriate
scale and unit for display through pictograph
4. Recognize the similarity and differences patterns to group the
objects
Problem solving5. Draws conclusions and inferences from the data
6. Solves simple problems using chart/data
Lesson: 12 Tables and SharesCOMPETENCIES TLO
Understanding basic concepts 1. To understand the properties of multiplication
Identification 2. Arrive at the solution for a product3.To identify multiplication as repeated addition4. To identify division as repeated subtraction
Problem solving 5. Solves simple problems
Lesson: 13 How heavy ? How light ?COMPETENCIES TLO
KnowledgeUnderstanding
1. Knowledge of weights used for measuring solids
2.To know the relation between the various units of mass
Ability to Compute3.Converts different units of weight
4. Estimates heavy and light objects
Problem solving 5. Solves problems related to weight
Lesson: 14 Fields and FencesCOMPETENCIES TLO
KnowledgeUnderstanding
1. Identification and differentiation between 2D and 3D figures,
regular and irregular figures
2. Associating boundary with the total length of all sides of the given
figure (regular and irregular)
Ability to Compute3. Calculates the total length of the boundary of regular and irregular
shapes
4. Estimating and counting the number of full squares occupied by the
given figure in a graph sheet, eliminating the squares less than half
Problem solving 5. Applying the concept of rounding off to the nearest full number
6. Solves day to day life problems related to area and perimeter
LIST OF COMPETENCY WISE TLO
CLASS: V SUBJECT: MATHEMATICS
Lesson: 1 The Fish TaleCOMPETENCIES TLO
Knowledge-Draws different figures (sea creatures) using different shapes.
-Reads and writes large numbers.
Understanding basic concepts
-Can round off the numbers to nearest ten, hundred and thousand.
-Understands the relationship between speed, distance and time.
-Understands concept of loan, interest and saving
Problem solving-- Solves word problems based on large numbers
Lesson: 2 Shapes And AnglesCOMPETENCIES TLO
Understanding basic concepts
- Understands the concept of a ray, line, line segment.
-Understands the meaning of an angle.
- Distinguishes between corners, edges, straight and curved edges.Knowledge - Knows the different types of angles.
Problem Solving
-Classification of angles as acute, obtuse and right angle.
-Can properly use the protractor to draw an angle.
-Solves simple problems related to the measurement of different angles in
real life.
Lesson: 3 How Many Squares?COMPETENCIES TLO
Understanding basic concepts - Understands the concept of area and perimeter.
Ability in computation
-Measures area of regular and irregular shapes using 1cm square grid (graph paper) or geo board.
-Derives formula for finding the perimeter and area of given figure and express its unit.
Problem Solving -Solves simple problems related to the measurement of area and
perimeter in real life.
Lesson: 4 Parts And Wholes
COMPETENCIES TLOKnowledge - Identifies fraction as a part of whole or a part of collection.
Understanding basic concepts -Understands fraction as a division.
-Understands the different types of fractions –Proper /improper
fraction ,Like/unlike fraction, Unit fraction, Mixed fraction, Equivalent
fraction
Ability in computation -Converts improper fraction to mixed numeral and vice-versa.
Problem Solving -Generates equivalent fraction to a given fraction.
Comparison of fraction with same denominator or with same
numerator.
Lesson: 5 Does It Look The SameCOMPETENCIES TLO
Knowledge -Observes and describes the simple geometrical patterns.
Identification -Identifies symmetrical (mirror halves images) and non symmetrical shapes, alphabets etc.
Understanding basic concepts -Understands the clockwise and anticlockwise ½ turn, 1/3 turn and ¼
turn.
Lesson: 6 Be My Multiple And I’ll Be Your FactorCOMPETENCIES TLO
Understanding basic concepts- Understands the concept of factors and multiples of a number.
-Understands the relationship between multiples and factors.
Logical Reasoning -Sorts out the prime and composite numbers between the given numbers.
Problem Solving -Can solve the simple problems based on L.C.M. and H.C.F.
Lesson: 7 Can You See The PatternCOMPETENCIES TLO
Understanding basic concepts - Observes and understands the patterns.
Formation of pattern -Recognizes the basic unit which generates the pattern.
Problem Solving -Makes patterns with numbers and letters.
Ability in computation -Computes the given patterns using four basic operation of mathematics.
Lesson: 8 Mapping your wayCOMPETENCIES TLO
Knowledge -Reads a school map, city map and other maps.
Understanding basic concepts -Understands the need of a scale in a map-Develops the concept of enlarging /reducing the area in the given map.-Understands the four directions and locates the areas asked
Ability in computation - Finding distance on map and actual distance
Problem Solving - Solving problems relate to floor map & deep drawing.
Lesson: 9 Boxes and sketchCOMPETENCIES TLO
Understanding basic concepts - Understands the concept of 2D and 3D shapes
-Differentiates between the 2D and 3D figures.
-Draws 2D and 3D shapes
Problem Solving -Solves simple problems
Lesson: 10 Tenths and hundredthsCOMPETENCIES TLO
Forming decimals -Place value chart for decimal
Understanding basic concepts -Develops understanding of decimals through fractions with
denominator 10 and 100.
-Compares the fractions
Ability in computation -Converts a decimal into fraction and vice versa
Problem Solving -Computes the decimal figures
Lesson: 11 Area and its BoundaryCOMPETENCIES TLO
Understanding basic concepts
- Understands the concept of area and perimeter
-Derives the formula for finding perimeter and area of a square and
rectangle
Ability in computation -Finding area and perimeter
Problem Solving -Solves simple problems related to area and perimeter
Lesson: 12 Smart Chart
COMPETENCIES TLOKnowledge -Collects and records data
Understanding basic concepts -Represents the data in tabular form or bar graph.
-Draws conclusions and inferences from the data.
Problem SolvingAbility in computation
-Solves simple problems using charts/data
Lesson: 13 Way to multiply and divideCOMPETENCIES TLO
Understanding basic concepts - Different ways of multiplication & Division- -Understands that division is repeated subtraction.
Ability in computation- Can multiply 2 or 3 digit numbers
-Divides a numeral by one or two digit numeral.
Problem Solving -Solves problems related to multiplication and division
Lesson: 14 How Big? How Heavy?COMPETENCIES TLO
Understanding basic concepts - Understands the concept of volume
Ability in computation -Finds the volume by arranging cube and counting them.
-Calculates volume of cube and cuboids of given dimensions
Problem Solving - Solving problems based on capacity.