Class 3 Maths Lesson Plans for All Chapters | Complete Chapter-Wise and CG wise Guide || Class 3 Mathematics Lesson Plan | Complete Chapter-Wise Lesson Plans || Class 3 Maths Lesson Plan for All Chapters | Complete Teaching Guide ||

LESSON PLANS

 

Chapter 6 : House of Hundreds – I

 

1. Concept / Curricular Goals

Concept:
The lesson develops an understanding of three-digit numbers, hundreds–tens–ones, counting beyond 200, number representation, number lines, comparison and ordering of numbers, number patterns, and flexible ways of representing numbers. Children gradually move from concrete counting using objects/bundles to pictorial and symbolic representations.

Relevant Curricular Goals

CG-1: Understands numbers, represents whole numbers using the Indian place value system, carries out basic operations, and recognises patterns in number sequences.

Relevant Competency – C-1.1:
Represents numbers using the place-value structure of the Indian number system, compares whole numbers, and reads and understands the names of large numbers appropriate to the stage.

Relevant Competency – C-1.3:
Understands and visualises arithmetic relationships and applies appropriate mathematical strategies to solve simple daily-life problems.

Relevant Competency – C-1.4:
Recognises, describes and extends simple number patterns.

CG-4: Develops problem-solving skills and procedural fluency to solve mathematical puzzles and daily-life problems.

Relevant Competency – C-4.1:
Solves puzzles and daily-life problems involving whole numbers.

Relevant Competency – C-4.3:
Selects suitable methods and tools such as mental calculation, estimation, number lines, concrete materials or paper-and-pencil methods according to the situation.

 

2. Competencies / Learning Outcomes (NCERT)

By the end of the learning sequence, learners:

1.    Count and represent three-digit numbers beyond 200 using concrete materials, pictures and numerals.

2.    Read and write three-digit numbers and explain the value of each digit according to its place.

3.    Represent numbers in expanded form, for example:

o   365 = 3 H + 6 T + 5 O

o   365 = 300 + 60 + 5.

4.    Explain the relationship between hundreds, tens and ones, recognising that:

o   1 hundred = 10 tens

o   1 ten = 10 ones.

5.    Locate and identify numbers on number lines, including numbers between 200 and 500.

6.    Find numbers before and after a given number and increase/decrease numbers by 1, 2, 10 and 20.

7.    Compare three-digit numbers using place-value understanding and the symbols >, < and =.

8.    Arrange numbers in ascending and descending order.

9.    Identify and extend number patterns, including patterns created by moving through rows, columns and number sequences.

10.                   Form different three-digit numbers using given digits, with and without repetition.

11.                   Use estimation, counting in groups and mathematical tools to arrive at reasonable answers.

12.                   Solve number puzzles and riddles using clues related to hundreds, tens and ones.

13.                   Explain their strategy orally, rather than relying only on the final answer.

14.                   Connect number concepts with familiar contexts, such as house numbers, sweets, shops, games and objects around them.

The chapter specifically asks learners to use number lines, compare numbers, identify patterns, make three-digit numbers and arrange numbers in ascending/descending order.

 

3. Integration with Other Subjects

English

• Read and speak number names correctly.
• Write number names in a number-name activity.
• Explain a mathematical strategy in complete sentences.
• Create simple “Who am I?” number riddles.

Environmental Studies

• Use familiar contexts such as a mela, sweet shop, houses and delivery of sweets to understand numbers.
• Count and organise objects found in the classroom/school environment.
• Discuss how grouping helps us count large quantities accurately.

Art Education

• Make colourful number houses, number cards and number sliders.
• Create a “House of Hundreds” using paper/cards.
• Design a number-pattern strip.

Physical Education

• Conduct a floor-number-line activity where children physically move forward/backward by 1, 10 or 100.
• Number-hop games can reinforce numerical relationships.

ICT

• Use an interactive number line/place-value activity.
• Digital quizzes can be used for comparing, ordering and identifying numbers.

 

4. Real-Life Application / Joyful Learning

Real-Life Applications

1.    House Numbers:
Children identify and locate house numbers and understand how numbers change from one house to the next.

2.    Shopping and Counting:
Children use numbers while counting packets, sweets, toys or other objects in groups of 100, 10 and 1.

3.    Number Ordering:
Children compare prices, scores, page numbers, roll numbers or house numbers.

4.    Counting Large Quantities:
Children understand why grouping objects into tens and hundreds is more efficient than counting each object separately.

5.    Number-Line Thinking:
Children use the idea of “how far” one number is from another in everyday situations.

Joyful Learning Activities

• Guess My Number: One child thinks of a number between 200 and 210; others ask/guess and use clues such as “greater than” or “less than.”
• Number Hunt: Find numbers containing a particular digit, such as all numbers between 200 and 300 containing 5.
• Number Relay: Teams arrange number cards from smallest to greatest.
• Human Number Line: Children stand in numerical order and move according to instructions.
• House Number Game: Children move through a floor/house grid to discover how numbers change horizontally and vertically.
• Who Am I? Number Riddles: Children solve clues such as “I am a three-digit number. I have only digits 4 and 0.”
• Number Name Magic: Explore number names and count letters, as suggested in the chapter.

 

5. 21st Century Skills / Value Education / Vocational Skills

21st Century Skills

Critical Thinking

• Compare numbers by examining hundreds, tens and ones.
• Justify why one number is greater or smaller.

Problem Solving

• Solve number riddles, missing-number sequences and number-line problems.

Communication

• Explain different counting and comparison strategies.
• Present reasoning to peers.

Collaboration

• Work in pairs/groups during number games, number hunts and card activities.

Creativity

• Create number puzzles, number patterns and three-digit numbers using given digits.

Logical Thinking

• Identify relationships between digits and their positions.

Value Education

• Accuracy: Count and record carefully.
• Patience: Continue trying when a number puzzle is challenging.
• Cooperation: Respect the strategies and answers of classmates.
• Confidence: Encourage children to explain their own mathematical thinking.
• Respect for Different Strategies: Understand that the same answer may sometimes be reached through different methods.

Vocational Skills

• Counting and grouping objects.
• Maintaining simple numerical records.
• Organising stock/items into groups.
• Understanding quantities used in shops, stores and small businesses.
• Developing basic numerical skills required for money handling, inventory and record keeping.

 

6. Pedagogical Strategies

A. Storytelling Strategy

Introduce the lesson through the mela setting of Ajji, Teji and Jojo.

Teacher narrates a short situation:

“Teji and Jojo visit a mela. They see hundreds of bangles, sweets and triangular decorations. Instead of counting every object one by one, they begin grouping them into hundreds, tens and ones.”

Children predict:

• How can we count such a large collection quickly?
• What comes after 199?
• How can 280 be represented?
• How can we check whether our counting is correct?

This connects the mathematical concept with the chapter's mela context.

B. Experiential Learning

• Give children bundles/sticks or classroom objects.
• Ask them to make groups of 10 and then groups of 100.
• Build numbers such as 235, 280, 309 and 423.
• Ask children to physically show hundreds, tens and ones.
• Let them explain the number in more than one way.

For example:

235 → 200 + 30 + 5 → 2 H + 3 T + 5 O

The chapter explicitly uses matchstick bundles and Dienes blocks for this purpose.

C. Toy-Based Learning

Use:

• Dienes/base-ten blocks
• Matchsticks
• Number cards
• Place-value cards
• Number slider
• Floor number line
• Digit cards

Children build, change and compare numbers using these materials.

D. Theatre / Role Play

Conduct a “Sweet Shop” role play.

Roles:

• Shopkeeper
• Customer
• Helper
• Number recorder

Children receive cards showing quantities such as 211, 309, 365 and 423 and represent the quantities using hundreds, tens and ones.

E. Game-Based Learning

Flag Guessing Game:
One child thinks of a number within a specified range. Other children make guesses. The teacher/child gives clues such as:

• “The number is greater than your guess.”
• “The number is smaller than your guess.”

This is directly inspired by the chapter's flag game.

F. Number-Line Strategy

Use a large floor number line.

Children:

• Locate 216, 243 and 257.
• Move forward by 10.
• Move backward by 10.
• Find the distance between two numbers.
• Identify which number is closer to 400.

G. Inquiry-Based Learning

Instead of directly giving rules, ask:

• Why is 321 greater than 231?
• Why is 209 less than 290?
• Do the ones always decide which number is greater?
• What happens when the hundreds are equal?
• What changes when we move one house to the right?
• What changes when we move one floor up?

The chapter uses exactly this type of place-value reasoning while comparing numbers.

 

7. Assessment – Item Format

Assessment should include oral, activity-based, written and reasoning items.

A. Oral Items

1.    What comes after 299?

2.    What comes before 300?

3.    How many tens make 100?

4.    What is the place value of 6 in 365?

5.    Which is greater: 423 or 342? Why?

B. Fill in the Blanks

1.    298 + 1 = ______.

2.    299 + 1 = ______.

3.    235 = 200 + ______ + 5.

4.    1 hundred = ______ tens.

5.    1 ten = ______ ones.

C. Place Value Items

Write H, T and O for:

• 309
• 275
• 423
• 365

D. Number-Line Items

• Locate 216, 243 and 257.
• Locate 329, 332 and 337.
• Find how far 387 is from 400.

These formats directly reflect the chapter exercises.

E. Comparison Items

Use >, < or =:

• 285 ___ 275
• 199 ___ 201
• 321 ___ 231
• 209 ___ 290

F. Ordering Items

Arrange:

• 456, 389, 207, 99, 110 — smallest to greatest.
• 67, 376, 294, 249, 494 — greatest to smallest.

G. Reasoning Items

Why is 432 > 423?
Expected reasoning: Both have 4 hundreds, but 432 has 3 tens whereas 423 has 2 tens.

H. Puzzle / Higher-Order Item

“I am greater than 300 but less than 400. I have no tens. My hundreds and ones digits are the same. Who am I?”

I. Performance-Based Assessment

Ask learners to:

• Build a given number using Dienes blocks.
• Represent it in H-T-O form.
• Write its expanded form.
• Place it on a number line.
• Compare it with another number.

 

8. Resources – Digital / Physical

Physical Resources

• Dienes/base-ten blocks
• Matchsticks and rubber bands
• Bundles of sticks
• Place-value chart
• Number cards
• Digit cards
• Number strips
• Floor number line
• Number slider
• Flash cards
• Dice
• Counters
• Paper plates/cards
• Toy money or shop materials
• Blackboard/whiteboard
• Worksheets
• Grid/house-number chart

 Digital Resources

• Interactive number-line activities
• Digital place-value manipulatives
• Interactive H-T-O charts
• Digital number comparison quiz
• Number-pattern games
• Presentation showing hundreds, tens and ones
• Short teacher-created digital quiz
• Interactive whiteboard activities

 

9. Competency-Based Assessment

Competency	Assessment Task	Evidence of Learning
C-1.1 Represents and compares whole numbers using place value	Build 365 using blocks and compare it with 356	Child identifies H-T-O and explains why one number is greater
C-1.1 Reads/writes numbers	Teacher gives number cards and children write/read them	Correct number names and numerals
C-1.3 Applies number concepts to situations	Sweet-shop/house-number problem	Uses an appropriate strategy and obtains a reasonable answer
C-1.4 Recognises patterns	Complete missing numbers in a number grid	Identifies the rule and extends the pattern
C-4.1 Solves puzzles	“Who am I?” number riddle	Uses clues systematically
C-4.3 Selects suitable methods/tools	Solve a counting problem using objects, grouping or number line	Chooses an efficient method and explains why

Suggested Competency Rubric

Level 4 – Proficient:
Represents, compares and orders numbers independently; explains reasoning clearly; identifies patterns and selects efficient strategies.

Level 3 – Developing Well:
Performs most tasks correctly and explains the strategy with limited support.

Level 2 – Developing:
Understands the basic idea but needs concrete materials, prompts or teacher support.

Level 1 – Beginning:
Requires substantial support to identify place values, compare numbers or continue patterns.

 

10. Homework

Concept-Based Homework

1.    Write the H-T-O and expanded form of:

o   245

o   308

o   376

o   409

o   452

2.    Put the correct sign:

o   325 ___ 352

o   408 ___ 480

o   299 ___ 300

o   431 ___ 413

3.    Arrange from smallest to greatest:
278, 325, 209, 398, 301

4.    Write the numbers:

o   10 more than 245 = ______

o   10 less than 360 = ______

o   1 more than 299 = ______

o   20 more than 375 = ______

5.    Make five three-digit numbers using the digits 2, 4 and 7 without repeating a digit. Circle the greatest and underline the smallest.

Home Observation Activity

Find five three-digit numbers at home or in the neighbourhood—for example, house numbers, page numbers, labels or other suitable numbers. Write:

• the number,
• its H-T-O form,
• expanded form,
• one number greater than it,
• one number smaller than it.

 

11. Planning for Remedial Teaching

Identification of Learning Gaps

Observe whether the learner:

• Confuses hundreds, tens and ones.
• Counts individual objects instead of grouping.
• Has difficulty reading/writing three-digit numbers.
• Cannot locate numbers correctly on a number line.
• Compares numbers only by the last digit.
• Struggles with numbers containing zero, such as 209 or 309.
• Has difficulty arranging numbers in ascending/descending order.
• Cannot identify the rule in a simple number pattern.

Remedial Strategies

1. Concrete → Pictorial → Abstract

Begin with actual sticks/blocks, move to drawings and finally to numerals.

Example:

3 hundreds + 2 tens + 5 ones → picture → 325

2. Small Number Ranges First

Begin with 100–200, then 200–300 and gradually extend towards 500.

3. Place-Value Mat

Use a large H-T-O chart and let the learner physically place counters/cards in each column.

4. Number-Line Support

Start with marked intervals of 10 and gradually move towards smaller intervals.

5. Zero as a Place Holder

Use concrete examples such as:

• 209 = 2 hundreds + 0 tens + 9 ones
• 304 = 3 hundreds + 0 tens + 4 ones.

6. Daily 5-Minute Number Talk

Ask:

• What number comes after 299?
• What is 10 more than 245?
• Which is greater: 308 or 380?
• How do you know?

7. Peer Learning

Pair a learner needing support with a confident peer for number-card and number-line games.

8. Repeated Practice Through Games

Use:

• Number Hunt
• Flag Guessing Game
• Number Bingo
• Missing Number
• Who Am I?
• Arrange Me
• Build the Number

Remedial Worksheet Pattern

Use a progression:

Stage 1: Identify H-T-O
↓
Stage 2: Build numbers
↓
Stage 3: Expanded form
↓
Stage 4: Before/after and 10 more/less
↓
Stage 5: Number line
↓
Stage 6: Compare numbers
↓
Stage 7: Order numbers
↓
Stage 8: Number patterns and puzzles

Enrichment for Advanced Learners

• Create their own number riddles.
• Find all three-digit numbers having a particular digit.
• Make the greatest and smallest numbers from given digits.
• Create a number pattern and ask classmates to discover the rule.
• Design a “Who has? Who has?” number-card chain, an activity also included in the chapter.

 

Overall Pedagogical Focus

Concrete Materials → Grouping → Place Value → Number Representation → Number Line → Comparison → Ordering → Patterns → Problem Solving

_________________________________________________________________

Chapter 7 : Raksha Bandhan

 

1. Concept / Curricular Goals (CG)

Main Curricular Goal – CG-1

Understands numbers, counting and fractions, understands and carries out basic arithmetic operations with whole numbers, and recognises patterns in number sequences.

Relevant Competencies

C-1.3 – Understands and visualises arithmetic operations and relationships among them, develops multiplication facts/tables and applies the four basic operations to solve daily-life problems.

C-1.4 – Recognises, describes and extends simple number patterns.

CG-4

Develops problem-solving skills with procedural fluency to solve mathematical puzzles and daily-life problems.

Relevant Competencies

C-4.1 – Solves puzzles and daily-life problems involving one or more operations on whole numbers.

C-4.3 – Selects appropriate methods and tools such as mental computation, repeated addition, skip counting, estimation, drawing and paper-pencil calculation according to the context.

 

2. Competencies / Learning Outcomes (NCERT)

By the end of the learning sequence, learners:

1.    Identify equal groups in familiar situations.

2.    Represent repeated addition as multiplication, for example:

o   4 + 4 + 4 + 4 + 4 = 20

o   5 × 4 = 20.

3.    Interpret multiplication as “equal groups of” or “times”.

4.    Represent multiplication situations using objects, drawings, number lines and mathematical statements.

5.    Use skip counting to find multiplication facts.

6.    Develop and use multiplication tables through repeated addition and skip jumping.

7.    Recognise patterns in multiplication tables and predict further results.

8.    Understand division as equal sharing, such as sharing 18 laddoos equally among 9 people.

9.    Solve simple division problems using drawings, equal sharing and repeated subtraction.

10.. Connect multiplication and division, for example:

• 5 × 4 = 20
• 20 ÷ 5 = 4.

11.. Solve daily-life problems involving multiplication and division.

    12.. Use suitable strategies such as counting, repeated addition, skip counting, drawing, number-line jumps or repeated subtraction.

13.. Explain their mathematical thinking and compare different strategies used by classmates.

14.. Identify and describe patterns in multiplication tables, particularly patterns in the last digits of multiples. The chapter explicitly explores patterns in the 5-times table and asks learners to predict last digits.

15.. Apply multiplication and division to practical contexts involving objects, money, wheels, spokes, animals and sharing.

 

3. Integration with Other Subjects

EVS

• Observe equal groups in nature, such as groups of plants, leaves or flowers.
• Count legs of animals and wheels of vehicles.
• Discuss how grouping helps us count things efficiently.
• Use the farm and garden situations from the chapter for mathematical observation.

Art Education / Work Education

• Make a simple Rakhi using thread, beads and paper decorations.
• Calculate the material needed for making 5 or 10 Rakhis.
• Create multiplication-table patterns using sticks.

English

• Read and understand mathematical words:
  equal groups, times, share equally, each, total, left, repeated addition.
• Frame simple word problems based on multiplication and division.
• Explain a solution orally in complete sentences.

Art / Music / Movement

• Create multiplication patterns through clapping and jumping.
• Draw equal groups and arrays.
• Make visual multiplication-table charts.

ICT

• Use interactive multiplication games.
• Digital skip-counting activities.
• Interactive number-line jumps.
• Digital quizzes on multiplication and division.

 

4. Real-Life Application / Joyful Learning

Real-Life Applications

1. Making Rakhis

If one Rakhi requires:

• 1 flower,
• 2 threads,
• 4 beads,

children calculate materials for 5 or 10 Rakhis.

This makes multiplication meaningful as repeated addition.

2. Sweet Shop

Children calculate:

• laddoos in equal groups,
• total laddoos,
• equal sharing among family members.

The chapter uses 3 laddoos in each group to establish repeated addition and multiplication.

3. Equal Sharing

Give children counters and ask them to distribute them equally among:

• 2 children,
• 4 children,
• 5 children,
• 10 children.

4. Wheels and Spokes

If each wheel requires 5 spokes, children find the number of spokes needed for 10, 20, 30 or more wheels.

The chapter develops this context and extends it to larger multiples of 5.

5. Animals

Use the number of legs of spiders, cows and other animals to create multiplication/division problems.

6. Money

Use simple shopping situations:

• cost of multiple items,
• number of notes required,
• total cost,
• change received.

The chapter includes wall-hanging and Rabdi-cost problems.

Joyful Learning Activities

Skip-Jumping Game

Draw a number track on the ground. Children jump:

• by 2,
• by 3,
• by 4,
• by 5,
• by 6.

For example:

0 → 3 → 6 → 9 → 12 → 15...

Children observe that every jump adds the same number.

Multiplication Bingo

Teacher calls:
“4 × 6”

Children find 24 on their bingo cards.

Equal Group Challenge

Give each group counters and a task card:

“Make 5 equal groups of 4.”

Children physically arrange the counters and write:

4 + 4 + 4 + 4 + 4 = 20
5 × 4 = 20

Division Plate Game

Give 20 counters and 5 paper plates.

Children distribute the counters equally and find:

20 ÷ 5 = 4

 

5. 21st Century Skills / Value Education / Vocational Skills

21st Century Skills

Critical Thinking

• Identify the mathematical operation required in a real-life situation.
• Decide whether a problem requires grouping, sharing, multiplication or division.

Problem Solving

• Solve unfamiliar multiplication and division situations.
• Find different ways of reaching the same answer.

Communication

• Explain how a group solved a problem.
• Use mathematical vocabulary correctly.

Collaboration

• Work together during skip-jumping, equal-sharing and card activities.
• Compare strategies respectfully.

Creativity

• Create multiplication stories.
• Design multiplication patterns using sticks or drawings.
• Create their own multiplication/division puzzles.

Logical Thinking

• Recognise patterns in skip counting and multiplication tables.
• Predict the next number without calculating every step.

Value Education

• Sharing: Understand the importance of distributing things equally.
• Cooperation: Work together during group activities.
• Fairness: Recognise that equal sharing means giving everyone the same quantity.
• Patience: Continue solving a problem even when the first strategy does not work.
• Responsibility: Use classroom materials carefully.

Vocational Skills

• Counting and grouping materials.
• Calculating quantities required for making products.
• Basic stock/material management.
• Calculating cost of multiple items.
• Dividing materials equally among people.
• Developing numerical skills useful in shopkeeping, crafts and small-scale work.

 

6. Pedagogical Strategies

A. Storytelling Strategy

Begin with the story of Gopal and Dhara preparing for the festival.

Teacher asks:

“Suppose we need to make 5 Rakhis. Each Rakhi needs 1 flower, 2 threads and 4 beads. How can we quickly find the total material?”

Children first try repeated addition:

1 + 1 + 1 + 1 + 1

Then introduce:

5 × 1 = 5

Similarly:

2 + 2 + 2 + 2 + 2 = 10
5 × 2 = 10

The chapter uses exactly this transition from repeated addition to multiplication.

B. Experiential Learning

Provide:

• beads,
• threads,
• counters,
• sticks,
• bottle caps,
• paper plates.

Ask children to physically create equal groups.

Example:

Make 4 groups with 5 counters each.

Then record:

5 + 5 + 5 + 5 = 20
4 × 5 = 20

C. Toy-Based Learning

Use:

• toy vehicles,
• toy animals,
• counters,
• blocks,
• beads,
• toy money,
• dice.

Examples:

3 toy cars × 4 wheels = 12 wheels

5 toy spiders × 8 legs = 40 legs

This builds multiplication from concrete experiences.

D. Theatre / Role Play

“Sweet Shop”

Roles:

• Shopkeeper
• Customer
• Helper
• Counter manager

Example:

“Each box contains 6 laddoos. A customer buys 4 boxes. How many laddoos are needed?”

Children physically arrange the boxes and solve:

6 + 6 + 6 + 6 = 24
4 × 6 = 24

The chapter uses the sweet-shop context to introduce equal groups and multiplication.

E. Learning by Equal Sharing

Give 18 counters to 9 children.

Ask them to distribute the counters equally.

Children discover:

18 ÷ 9 = 2

Then represent it pictorially and verbally:

“18 shared equally among 9 gives 2 each.”

This is directly aligned with the division activity in the chapter.

F. Number-Line / Skip-Jumping Strategy

Draw a number line from 0 to 50.

Ask children to jump by 3:

0 → 3 → 6 → 9 → 12 → ...

Then connect:

3 + 3 + 3 = 9
3 × 3 = 9

Children then try jumping by 4, 5 and 6.

The chapter explicitly develops multiplication tables through skip jumping.

G. Pattern-Based Learning

Ask children to observe:

5, 10, 15, 20, 25, 30...

Questions:

• What is changing?
• What remains the same?
• What will come next?
• What are the last digits?
• Can you predict 11 × 5 without calculating the entire multiplication?

The chapter specifically develops patterns in multiplication tables.

 

7. Assessment – Item Format

A. Oral Assessment

1.    What is 4 times 5?

2.    What is 3 + 3 + 3 + 3?

3.    How many groups are there in 5 × 4?

4.    What is 20 shared equally among 5?

5.    What number comes after 3, 6, 9, 12?

B. Fill in the Blanks

1.    4 + 4 + 4 = ___ × ___.

2.    5 × 3 = ___.

3.    20 ÷ 5 = ___.

4.    6 × 4 = ___.

5.    3, 6, 9, ___, ___.

C. Match the Following

Repeated Addition	Multiplication
3 + 3 + 3	3 × 3
5 + 5 + 5 + 5	4 × 5
2 + 2 + 2 + 2 + 2	5 × 2

D. Picture-Based Assessment

Show 4 equal groups containing 5 objects each.

Ask:

• How many groups?
• How many objects in each group?
• How many objects altogether?
• Write the repeated addition.
• Write the multiplication sentence.

E. Division Assessment

Draw 20 objects and ask:

“Share these equally among 5 children.”

Students write:

20 ÷ 5 = 4

F. Skip-Counting Assessment

Complete:

0, 3, 6, 9, __, __, __

and

0, 5, 10, 15, __, __

G. Pattern-Based Assessment

Look at:

5, 10, 15, 20, 25, 30

Ask:

• What is the rule?
• What comes next?
• Which multiplication table is represented?

H. Word Problems

1.    There are 5 jars with 4 cookies in each. How many cookies are there?

2.    30 cookies are shared equally among 5 children. How many does each child get?

3.    Each wheel needs 5 spokes. How many spokes are needed for 20 wheels?

4.    A child saves ₹8 every day. How much will be saved in 7 days?

These formats are closely based on the chapter's own problem-solving tasks.

 

8. Resources – Digital / Physical

Physical Resources

• Counters
• Beads
• Threads
• Paper plates
• Ice-cream sticks
• Matchsticks
• Bottle caps
• Dienes/base-ten blocks where appropriate
• Number cards
• Multiplication cards
• Division cards
• Dice
• Toy animals
• Toy vehicles
• Toy money
• Paper number line
• Floor number track
• Chart paper
• Flash cards
• Worksheets
• Rakhi-making material

Digital Resources

• Interactive multiplication games
• Skip-counting number line
• Digital arrays/equal-group activities
• Multiplication-table quizzes
• Division sharing activities
• Interactive pattern activities
• Digital flash cards
• Teacher-created presentation
• Interactive whiteboard

 

9. Competency-Based Assessment

Competency	Assessment Task	Observable Evidence
C-1.3 Understands arithmetic operations	Represent 5 groups of 4 using objects, repeated addition and multiplication	Connects equal groups, addition and multiplication correctly
C-1.3 Applies operations in daily life	Solve a Rakhi/sweet-shop problem	Selects multiplication or division appropriately
C-1.4 Recognises patterns	Continue skip-counting sequences	Identifies the constant jump and extends the pattern
C-1.4 Describes table patterns	Observe the 5-times table and predict last digits	Identifies and explains a pattern
C-4.1 Solves daily-life problems	Solve problems involving cookies, wheels, money or sharing	Uses mathematical reasoning to reach a solution
C-4.3 Selects appropriate method	Solve a multiplication/division problem using objects, drawing, skip counting or mental calculation	Chooses and explains a suitable strategy

Competency Rubric

Level 4 – Proficient

• Independently identifies the operation.
• Uses an efficient strategy.
• Explains reasoning clearly.
• Identifies and extends patterns.

Level 3 – Developing Well

• Solves familiar problems correctly.
• Uses suitable strategies with occasional prompts.

Level 2 – Developing

• Understands equal groups/sharing but requires concrete materials or teacher support.

Level 1 – Beginning

• Needs substantial support to form equal groups, skip count or identify the operation.

 

10. Homework

Practice Work

1.    Write repeated addition and multiplication:

o   3 groups of 4

o   5 groups of 2

o   4 groups of 6

o   7 groups of 3

2.    Complete:

o   2 × 4 = ___

o   3 × 5 = ___

o   4 × 6 = ___

o   5 × 7 = ___

o   6 × 4 = ___

3.    Complete the patterns:

o   2, 4, 6, 8, ___, ___

o   3, 6, 9, 12, ___, ___

o   5, 10, 15, 20, ___, ___

4.    Solve:

o   20 ÷ 4 = ___

o   18 ÷ 3 = ___

o   15 ÷ 5 = ___

o   24 ÷ 6 = ___

Real-Life Homework

Find three equal-group situations at home.

For example:

• plates with equal numbers of objects,
• packets containing equal items,
• pairs of shoes,
• groups of toys.

For each, write:

• Number of groups
• Number in each group
• Total
• Multiplication sentence

Creative Homework

Make a simple multiplication table using sticks/dots, similar to the stick method explored in the chapter.

 

11. Planning for Remedial Teaching

Identify the Learning Gap

Check whether the child:

• Counts every object individually even when equal groups are present.
• Does not understand the meaning of “times”.
• Confuses the number of groups with the number in each group.
• Cannot convert repeated addition into multiplication.
• Has difficulty skip counting.
• Memorises tables without understanding the pattern.
• Cannot understand division as equal sharing.
• Gives unequal quantities while distributing objects.
• Does not know which operation is required in a word problem.
• Finds it difficult to connect multiplication and division.

Remedial Sequence

Step 1 – Concrete Equal Groups

Use counters.

Example:

Make 3 groups of 4.

Child physically creates:

●●●● | ●●●● | ●●●●

Then say:

4 + 4 + 4 = 12

and finally:

3 × 4 = 12

Step 2 – Picture Representation

Move from real objects to drawings of equal groups.

Step 3 – Number Line

Use jumps:

0 → 4 → 8 → 12

Connect the jumps to:

3 × 4 = 12

Step 4 – Skip Counting

Practise one table at a time through movement:

• Clap by 2
• Jump by 3
• Tap by 4
• Step by 5

Step 5 – Division Through Sharing

Give 12 counters to 3 children.

Let the child physically distribute them equally.

Then record:

12 ÷ 3 = 4

Step 6 – Connect Operations

Use fact families:

4 × 5 = 20
5 × 4 = 20
20 ÷ 5 = 4
20 ÷ 4 = 5

Step 7 – Word Problems

Begin with pictures before moving to text.

Example:

“4 plates have 3 laddoos each.”

Picture → repeated addition → multiplication → answer.

Step 8 – Daily 5-Minute Practice

Use quick oral questions:

• 3 groups of 5 = ?
• 4 × 2 = ?
• 12 ÷ 3 = ?
• What comes after 15 when counting by 3?
• What is 5 more than 20?

Remedial Games

• Equal Group Builder
• Skip-Jump
• Multiplication Bingo
• Table Train
• Sharing Plates
• Match the Fact Family
• Missing Number
• Roll and Multiply
• Roll and Share

Enrichment for Advanced Learners

• Create their own multiplication/division word problems.
• Find different equal-group arrangements for the same total.
• Discover relationships between multiplication tables.
• Predict table patterns without calculating every product.
• Solve the envelope/card puzzle from the chapter by using multiplication relationships.

 

Overall Teaching-Learning Progression

Real-life situation
↓
Equal groups
↓
Repeated addition
↓
Multiplication
↓
Skip counting / Number-line jumps
↓
Multiplication tables
↓
Patterns in tables
↓
Equal sharing
↓
Division
↓
Multiplication–Division relationship
↓
Real-life problem solving

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