Chapter 1: Finding the Furry Cat
Pre-Number Concepts, Spatial Vocabulary & Orientation
- Inside and Outside: recognizing objects within boundaries vs outside.
- Top and Bottom: identifying highest and lowest positions.
- Nearer and Farther: comparing relative distances from a reference point.
- On and Under, Above and Below: positional relationships.
- Bigger and Smaller: comparing physical sizes visually.
1. The cat's entire body is enclosed within the four walls of the basket.
2. Therefore, the cat is inside the basket.
3. If the cat hops out onto the carpet, it will be outside the basket.
• Top: The bird is at the top of the tree because it is perched on the uppermost branch.
• Bottom: The snail is at the bottom of the tree on the ground.
1. Compare the distances: 2 steps is less than 8 steps.
2. Nearer: Mouse Chintu is nearer to the hole.
3. Farther: Mouse Pintu is farther from the hole.
• Elephant: Tick (✓) — the elephant has a huge body, so it is bigger.
• Goat: Cross (✗) — compared to the elephant, the goat is smaller.
• The water bottle is on the table (resting on the upper flat surface).
• The red football is under the table (resting on the floor beneath the table).
• Above: The ceiling fan is above the bed (higher up in the air).
• Below: The rug is on the floor below the bed level.
1. Large animals have broad feet to walk on sand.
2. Therefore, the camel's hoof print is bigger.
3. The sparrow's claw mark is smaller.
• Blue curtain → Behind
• Wooden drawer → Inside
• Quilt → Under
• The banana leaf is bigger (it is broad and very long).
• The neem leaf is smaller (it is tiny and narrow).
• Aman sits on Bench 1 right beside the entrance, so Aman is nearest to the door.
• Kabir is farthest from the door.
• Front: Meera is at the front.
• Back: Rohan is at the back, behind Meera.
• Swing A is higher because it reaches up towards the tree branches.
• Swing B is lower.
• You must put your books inside before zipping the bag.
• Zipping the bag comes after all items are safely packed.
• Biggest fruit: Watermelon.
• Smallest fruit: Grape.
• The apple is medium-sized (between watermelon and grape).
• The cat is sitting on the wall.
• The open blue sky is above the cat.
• Inside cupboard: Clothes / school uniform.
• On bed: Pillow / bedsheet.
• Under bed: Slippers / storage box.
Hiding in the Playroom Case Study
Real-World Context: Aarav is playing hide-and-seek with his furry kitten, Mitu. Aarav looks under the bed, inside the toy trunk, and on top of the study bookshelf.
Analytical Task: If Mitu is found inside the trunk, what spatial position does this represent? Where would Aarav look if Mitu were sleeping on a flat elevated surface?
2. For a flat elevated surface, Aarav should look 'On' the study bookshelf or on top of the bed.
Chapter 2: What is Long? What is Round?
2D & 3D Shapes, Rolling, Sliding & Surface Properties
- Identifying round objects (spheres, balls, fruits) vs long objects (pencils, bats, rulers).
- Rolling and Sliding: curved surfaces roll, flat surfaces slide.
- Objects that both roll and slide (coins, cylindrical pipes, cans).
- Tower making: flat surfaces stack securely, curved surfaces fall.
- Tracing flat faces of 3D objects to discover 2D shapes (circles, rectangles, squares).
• Long objects: Cricket bat, Writing pencil, Ruler.
• Round objects: Cricket ball, Orange, Tomato, Bangle.
1. An object with no flat corners that rolls in all directions is round (spherical).
2. Example: A tennis ball, marble, or laddoo.
• Rolls: Glass marble and Tomato (curved surfaces).
• Slides: Eraser and Flat wooden ruler (flat surfaces).
• Slides: Place the coin flat on the table and push it. Its flat circular face slides.
• Rolls: Stand the coin upright on its thin curved edge and gently push. It rolls like a wheel.
1. No, footballs cannot make a tower because their curved round bodies roll off each other.
2. Objects with flat faces like wooden blocks, books, and matchboxes make stable towers.
• When a flat round coin spins very fast on its edge, it looks like a round ball (sphere).
• When it stops spinning, it falls flat again.
• The face of a matchbox has 4 straight sides (opposite sides equal).
• Tracing its border gives a Rectangle.
• The bangle has a curved circular rim.
• Tracing inside or outside the rim gives a Circle.
• A glue stick has a curved round side and flat circular ends.
• Therefore, it both rolls (on its curved side) and slides (on its flat base).
• Long vegetables: Carrot, Cucumber.
• Round vegetables: Onion, Lemon, Potato (mostly round/oval).
• A cricket ball has 0 corners (it is completely round).
• A square chessboard has 4 sharp corners.
• Yes, if placed standing upright on their flat circular rims, they stack into a stable tower.
• If laid on their curved sides, they roll and cannot stack.
1. Round wheels roll smoothly without bumpy stops.
2. Square wheels have 4 corners that would hit the ground and prevent smooth rolling.
1. A flat postcard bends easily.
2. But if you roll the postcard into a round cylinder (pipe) and tape the ends, it can stand upright and hold a heavy book on top!
• (a) Dice → Square
• (b) Water glass bottom → Circle
• (c) Matchbox side → Rectangle
1. Football → R (Rolls)
2. Notebook → S (Slides)
3. Candle → B (Both)
4. Orange → R (Rolls)
Playground Slide Experiment
Real-World Context: During sports period, Ravi slides his plastic lunchbox down the playground slide, while Priya rolls an orange down the same slide.
Analytical Task: Why does the orange roll while the lunchbox slides? What happens if you push a ₹5 coin down the slide?
2. The lunchbox has flat faces, so it slides.
3. A ₹5 coin can both slide (if placed flat on its face) and roll (if stood upright on its circular edge).
Chapter 3: Mango Treat
Counting 1 to 9, As Many As, More or Less, Zero Concept
- Counting physical objects from 1 to 9 with one-to-one correspondence.
- Comparing quantities: As Many As, More, and Less.
- Concept of Zero as an empty collection or none left.
- Number names (One to Nine) and numeral writing.
- Missing numbers on a number track and ordering.
1. Count of rabbits = 5.
2. Count of carrots = 5.
3. Since 5 equals 5, there are as many carrots as rabbits. Every rabbit gets exactly 1 carrot without any left over.
• Count of Group A = 7
• Count of Group B = 4
• Comparing: 7 is greater than 4 (7 > 4).
• Therefore, Group A has more butterflies.
• Count of mangoes hanging on the tree = 6 mangoes.
• Count of fallen mangoes = 3 mangoes.
• Total mangoes = 6 + 3 = 9 mangoes.
• (a) 3 Bananas → 3
• (b) 5 Marbles → 5
• (c) 8 Leaves → 8
• (d) 1 Sun → 1
1. Starting parrots = 4
2. Parrots that flew away = 4
3. Remaining parrots = 4 - 4 = 0 (Zero).
4. Zero means none is left on the branch.
• Starting parrots = 1
• One more joins: 1 + 1 = 2 parrots (Two).
• 4 = Four
• 7 = Seven
• 9 = Nine
• 2 = Two
Counting from 1 to 9 in sequential order:
1, 2, 3, 4, 5, 6, 7, 8, 9.
• (a) Just before 6 is 5.
• (b) Just after 7 is 8.
• (c) Between 4 and 6 is 5.
• Left wing dots = 4
• Right wing dots = 5
• Total dots = 4 + 5 = 9 dots.
1. Starting with 5 fingers.
2. Count on: 6 (one finger), 7 (two fingers).
3. You must show 2 fingers on the right hand (5 + 2 = 7).
• 8 is more than 6.
• Circle Set X (8 blue beads).
• Total balloons = 8
• Group circled = 4
• Balloons outside the circle = 8 - 4 = 4 balloons.
• Plate 2 has 0 laddoos, which means it has no laddoos at all.
• Therefore, Plate 2 is empty.
Counting backward by subtracting 1 each time:
5, 4, 3, 2, 1.
• Comparing: 3 < 6 < 9.
• Greatest number: 9.
• Smallest number: 3.
• Initial sparrows = 2
• Sparrows joining = 3
• Total = 2 + 3 = 5 sparrows.
• 6 matches the group of 6 dots.
• 3 matches the group of 3 dots.
• 8 matches the group of 8 dots.
Orchard Mango Harvest Case Study
Real-World Context: Grandpa gives Anaya 5 ripe yellow mangoes and gives Kabir 3 ripe yellow mangoes in cane baskets.
Analytical Task: Who has more mangoes and by how many? If Anaya eats all 5 of her mangoes, how many mangoes remain in her basket?
2. Difference = 5 - 3 = 2 more mangoes.
3. If Anaya eats all 5, her basket has 5 - 5 = 0 (Zero) mangoes left.
Chapter 4: Making 10
Combinations of 10, Ten-Frames, Bundling & Tens/Ones
- Understanding 10 as a group of ten ones (1 ten = 10 ones).
- Using ten-frames to discover number pairs that sum to 10 (e.g. 1+9, 2+8, 5+5).
- Bundling loose sticks into packets/bundles of 10.
- Numbers from 10 to 20: 10 and 1 is 11, 10 and 2 is 12, up to 20.
1. Total boxes in a ten-frame = 10.
2. Filled boxes = 7.
3. Empty boxes = 10 - 7 = 3 empty boxes.
4. Therefore, 7 + 3 = 10.
• Total fingers on both hands = 5 + 5 = 10 fingers.
• Fold 4 fingers down: 10 - 4 = 6 fingers upright.
(a) 1 + __ = 10
(b) 2 + __ = 10
(c) 5 + __ = 10
(d) 8 + __ = 10 Textbook Exercise • Pairs that Make 10 2 Marks
• (a) 1 + 9 = 10
• (b) 2 + 8 = 10
• (c) 5 + 5 = 10
• (d) 8 + 2 = 10
• A bundle of 10 loose ones is called 1 Ten (One Ten = 10 Ones).
• This forms the foundation of the place-value system.
• 1 bundle of 10 = 10
• 3 loose pencils = 3
• 10 + 3 = 13.
• Number name: Thirteen.
(a) 10 and 1
(b) 10 and 5
(c) 10 and 7
(d) 10 and 10 Let Us Do • 10 and More 2 Marks
• (a) 10 and 1 = 11 (Eleven)
• (b) 10 and 5 = 15 (Fifteen)
• (c) 10 and 7 = 17 (Seventeen)
• (d) 10 and 10 = 20 (Twenty)
1. Total cones = 14.
2. Circle 10 cones (1 group of 10).
3. Cones left outside = 14 - 10 = 4 loose cones.
4. 14 = 1 Ten and 4 Ones.
• Blue marbles = 6
• Total needed = 10
• Yellow marbles = 10 - 6 = 4 yellow marbles.
• (a) 18 = 1 Ten and 8 Ones
• (b) 12 = 1 Ten and 2 Ones
Counting from 10 to 20 sequentially:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
• (a) 16 is greater than 11 → Circle 16.
• (b) 19 is greater than 15 → Circle 19.
• Eggs in tray = 10 (1 ten)
• Extra eggs = 6 (6 ones)
• Total eggs = 10 + 6 = 16 eggs.
• 10 + 10 = 20.
• Therefore, 2 tens make 20.
• You would tie 2 bundles of 10 matchsticks with 0 loose ones.
• Just before 15 is 14.
• Just after 19 is 20.
• 10 + 2 = 12
• 10 + 5 = 15
• Comparing: 10 < 13 < 15 < 17.
• The smallest number is 10.
• Yes, 5 red beads + 5 green beads = 10 beads.
• 5 and 5 are doubles that make 10.
Making Bead Garlands Case Study
Real-World Context: Simran wants to make a necklace of 10 red beads. She already has 6 red beads on her string.
Analytical Task: How many more beads does Simran need to complete her necklace of 10? If her friend gives her 8 beads, can they make another complete garland of 10?
2. More beads needed = 10 - 6 = 4 more beads.
3. With 8 beads, they cannot make a full garland of 10 because 8 is less than 10 (needs 2 more).
Chapter 5: How Many?
Addition & Subtraction within 10, Word Problems & Story Contexts
- Combining two collections to find 'How many altogether?' (Addition).
- Taking away items from a group to find 'How many left?' (Subtraction).
- Using fingers, dot cards, and pictures for addition facts.
- Properties of Zero in addition and subtraction (adding 0 gives same number).
- Solving simple everyday addition and subtraction story problems.
1. Red roses = 3
2. Yellow roses = 2
3. Total roses = 3 + 2 = 5 roses altogether.
1. Initial balloons = 6
2. Popped balloons = 2
3. Balloons left = 6 - 2 = 4 balloons.
• Frogs on pads = 5
• New frogs joining = 2
• Total frogs = 5 + 2 = 7 frogs.
• 4 + 0 = 4 bananas.
• Adding zero to any number leaves the number unchanged.
• 5 - 0 = 5 toy cars.
• Subtracting zero does not decrease the collection.
• 1 + 5 = 6
• 2 + 4 = 6
• 3 + 3 = 6 (also 0 + 6 = 6).
• Initial sparrows = 7
• Sparrows that flew away = 3
• Sparrows left = 7 - 3 = 4 sparrows.
• Starting point = 4
• Jump 3 forward: 4 → 5 → 6 → 7.
• You land on 7 (4 + 3 = 7).
• Starting point = 8
• Jump 3 backward: 8 → 7 → 6 → 5.
• You land on 5 (8 - 3 = 5).
• (a) 4 + 4 = 8
• (b) 2 + 7 = 9
• (c) 9 - 4 = 5
• (d) 8 - 6 = 2
• Pencils with Neha = 5
• Pencils given by mother = 4
• Total pencils = 5 + 4 = 9 pencils.
• Apples on branch = 8
• Apples fallen = 5
• Apples left on branch = 8 - 5 = 3 apples.
• 3 + 3 = 6 dots (doubles fact).
• 6 - 6 = 0 candies.
• When you subtract a number from itself, the result is always zero.
• Count forward from 6: 7, 8, 9 (3 counts).
• 6 + 3 = 9.
• 8 - 5 = 3.
• Therefore, 8 - 3 = 5.
• 3 + 4 = 7 and 4 + 3 = 7.
• True. Changing the order of numbers in addition does not change the sum.
• 4 fingers + 4 fingers = 8 fingers.
• Target = 10 oranges
• Existing = 7 oranges
• Needed = 10 - 7 = 3 oranges.
Frogs in the Pond Case Study
Real-World Context: Four green frogs were sitting on a lotus leaf in the pond. Three more frogs leaped onto the leaf. Soon after, two frogs jumped back into the cool water.
Analytical Task: How many frogs were on the leaf after the three leaped in? How many frogs remained on the leaf after two jumped into the water?
2. After two jumped away: 7 - 2 = 5 frogs remaining.
Chapter 6: Vegetable Farm
Addition & Subtraction within 20, Double Ten-Frames & Word Problems
- Extending addition and subtraction to teen numbers (10 to 20).
- Using double ten-frames to bridge 10 and add single digits.
- Partitioning numbers: 14 = 10 + 4, 17 = 10 + 7.
- Real-life harvest and market word problems with vegetables.
1. First patch = 9 carrots
2. Second patch = 4 carrots
3. 9 + 4 = 9 + 1 + 3 = 10 + 3 = 13 carrots.
1. Total pumpkins = 15
2. Loaded pumpkins = 4
3. Pumpkins remaining = 15 - 4 = 11 pumpkins.
• Full ten-frame = 10
• Second frame = 6
• Total = 10 + 6 = 16 (Sixteen).
(a) 10 + 3 = __
(b) 10 + 7 = __
(c) 10 + 9 = __
(d) 10 + 5 = __ Textbook Exercise • Adding to 10 2 Marks
• (a) 10 + 3 = 13
• (b) 10 + 7 = 17
• (c) 10 + 9 = 19
• (d) 10 + 5 = 15
(a) 14 - 4 = __
(b) 18 - 8 = __
(c) 17 - 10 = __
(d) 12 - 2 = __ Textbook Exercise • Subtracting from Teen Numbers 2 Marks
• (a) 14 - 4 = 10
• (b) 18 - 8 = 10
• (c) 17 - 10 = 7
• (d) 12 - 2 = 10
• Red tomatoes = 11
• Green tomatoes = 5
• Total = 11 + 5 = 16 tomatoes.
• Total cucumbers = 16
• Cucumbers sold = 6
• Cucumbers left = 16 - 6 = 10 cucumbers.
• Starting point = 12
• Steps forward = 5
• 12 + 5 = 17.
• Starting point = 19
• Steps backward = 4
• 19 - 4 = 15.
• (a) 5 + 5 = 10
• (b) 6 + 6 = 12
• (c) 7 + 7 = 14
1. 8 needs 2 to make 10.
2. Break 5 into 2 + 3.
3. 8 + 2 = 10.
4. 10 + 3 = 13.
• Initial cabbages = 20
• Cabbages used = 8
• Remaining = 20 - 8 = 12 cabbages.
• (a) 15 = 1 Ten and 5 Ones
• (b) 19 = 1 Ten and 9 Ones
• (c) 11 = 1 Ten and 1 One
• 18 - 13 = 5.
• 13 + 5 = 18.
• 17 - 11 = 6.
• 17 - 6 = 11.
Answers: [12, 14, 18]. Activity • Match Expression to Answer 2 Marks
• (1) 9 + 9 = 18
• (2) 15 - 3 = 12
• (3) 8 + 6 = 14
• Radishes = 7
• Turnips = 8
• Total = 7 + 8 = 15 root vegetables.
• 16 - 4 = 12.
• 11 + 2 = 13.
• Comparing: 13 > 12.
• (11 + 2) gives the greater answer.
Vegetable Basket Distribution Case Study
Real-World Context: Farmer Kalu harvests 12 orange carrots and 6 red radishes from his organic garden beds. He puts them into a large jute sack.
Analytical Task: How many total vegetables did Farmer Kalu harvest? If he sells 5 carrots at the morning market, how many carrots remain?
2. Carrots remaining = 12 - 5 = 7 carrots left.
Chapter 7: Lina's Family
Non-Standard Lengths, Handspans, Footsteps, Heavy vs Light
- Measuring length using non-standard body units: handspan, fingers, and footsteps (paces).
- Understanding why non-standard units vary between children and adults.
- Comparing lengths: longer vs shorter, longest vs shortest.
- Comparing heights: taller vs shorter, tallest vs shortest.
- Comparing weights qualitatively: heavier vs lighter.
1. A handspan is the distance from the tip of the thumb to the tip of the little finger when the hand is stretched wide open.
2. When measured by a Class 1 student, the Joyful Mathematics book is approximately 2 to 3 handspans long.
• Pencil A is longer (new, unsharpened pencil).
• Pencil B is shorter (used stub).
1. The distance between the door and board is the same.
2. The teacher is an adult with longer legs, so her footsteps are bigger (takes 10 steps).
3. A student's steps are shorter, requiring more footsteps (15 steps).
• Tallest: Grandfather (or Father).
• Shortest: Baby Brother (crawling toddler).
• A standard new wooden pencil is about 4 to 5 standard erasers long.
• Heavier: Watermelon (pulls down heavily on your hand).
• Lighter: Lemon (feels very light and easy to hold).
• Ladder 1 is longer because it has 12 rungs reaching higher up.
• Ladder 2 with 6 rungs is shorter.
• Longest ribbon: Gita (40 cm).
• Shortest ribbon: Rita (10 cm).
• A standard eraser is about 2 to 3 finger-widths wide.
1. The elephant is much heavier than the tiny ant.
2. Therefore, the elephant's side will touch the ground, and the ant's side will shoot up into the air.
• Thicker: The dictionary (has hundreds of pages).
• Thinner: The comic book (has only a few thin pages).
• The giraffe is the tallest animal with its long neck standing high above trees.
• The cat is the shortest among the three.
• Your arm-span is much larger than a single handspan.
• An arm-span equals several handspans together.
• Heavier: School bag full of books.
• Lighter: A single wooden pencil.
• 11 is greater than 8, so Rope Blue is longer.
• Difference = 11 - 8 = 3 footsteps longer.
1. Every person's hand has a different size.
2. A standard wooden or plastic ruler is fixed and equal everywhere, ensuring fair and accurate measurement.
Measuring the Study Table Case Study
Real-World Context: Lina measures the length of her dining table using her handspan. She finds it is 10 handspans long. Her father measures the same table and finds it is only 6 handspans long.
Analytical Task: Why did Lina get 10 handspans while her father got only 6 handspans? Whose handspan is bigger?
2. Because father's handspan is bigger, fewer handspans (6) are needed to cover the same table.
3. Lina's hand is smaller, so she needed more handspans (10).
Chapter 8: Fun with Numbers
Numbers 21 to 99, Matchstick Bundles of 10, Tens & Ones
- Extending place value to two-digit numbers up to 99.
- Grouping items into bundles of 10 and counting loose ones.
- Writing numbers in expanded notation (e.g., 45 = 4 tens and 5 ones = 40 + 5).
- Reading and completing the 1 to 100 number chart.
- Comparing 2-digit numbers using tens place first, then ones place.
• 2 bundles of 10 = 20
• 4 loose sticks = 4
• Total = 20 + 4 = 24 (Twenty-four).
• (a) 35 = 3 Tens and 5 Ones
• (b) 52 = 5 Tens and 2 Ones
• (c) 60 = 6 Tens and 0 Ones
• (d) 78 = 7 Tens and 8 Ones
• In 46, the tens digit is 4 and the ones digit is 6.
• Therefore, you can tie 4 complete bundles of 10.
• 6 loose sticks will be left over.
Counting sequentially:
21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
• 51, 52, 53, 54, 55, 56, 57, 58, 59, 60.
• 91, 92, 93, 94, 95, 96, 97, 98, 99, 100.
(a) 48 = __ + __
(b) 63 = __ + __
(c) 85 = __ + __ Textbook Exercise • Expanded Form 3 Marks
• (a) 48 = 40 + 8
• (b) 63 = 60 + 3
• (c) 85 = 80 + 5
(a) Just before 40
(b) Just after 69
(c) Between 88 and 90 Let Us Do • What Comes Before and After? 3 Marks
• (a) Just before 40 is 39.
• (b) Just after 69 is 70.
• (c) Between 88 and 90 is 89.
• (a) 4 tens is greater than 2 tens → 42 is greater.
• (b) 7 tens is greater than 6 tens → 76 is greater.
• 5 tens = 50
• 3 ones = 3
• 50 + 3 = 53 (Fifty-three).
• 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
• 3 packets of 10 = 30 bindis
• Loose bindis = 4
• Total = 30 + 4 = 34 bindis.
• The smallest 2-digit number is 10.
• The largest 2-digit number is 99.
• Comparing tens digits: 1 ten is smallest.
• Therefore, 19 is the smallest number.
• 5 tens + 2 ones = 52
• 6 tens + 9 ones = 69
• 99 + 1 = 100 (One Hundred).
• 100 has 3 digits (1 hundred, 0 tens, 0 ones).
• Comparing tens digits: 12 < 34 < 48 < 65.
• Ascending order: 12, 34, 48, 65.
• Comparing tens digits: 95 > 71 > 50 > 28.
• Descending order: 95, 71, 50, 28.
• 4 necklaces = 40 pearls
• Loose pearls = 9
• Total = 40 + 9 = 49 pearls.
• Examples: 22, 33, 44, 55, 66, 77, 88, 99.
• Any two of these are correct.
• 37 + 10 = 47.
• Jumping down one row in a 100-grid always increases the number by 1 ten (10).
• 28 = 20 + 8 = 2 tens and 8 ones.
• Aman can make 2 bundles of 10, and 8 sticks will remain.
Flower Garlands at the Temple Case Study
Real-World Context: Meena stringed 3 garlands of 10 marigold flowers each, and she has 7 loose flowers remaining in her basket.
Analytical Task: How many total flowers does Meena have? How many more loose flowers does she need to complete a fourth garland of 10?
2. To make a full garland of 10 from 7 flowers, she needs: 10 - 7 = 3 more flowers.
Chapter 9: Utsav
Repeating & Growing Patterns, Toran Beads & Rangoli Shapes
- Identifying repeating units in decorative borders, torans, and fabrics.
- Extending shape patterns: alternating colors, sizes, and rotations.
- Growing patterns in numbers and blocks (e.g. 1, 2, 3... or 2, 4, 6...).
- Patterns in nature: day and night, seasons, animal stripes.
1. The repeating rule is alternating between Circle and Square.
2. After Circle comes Square.
• The pattern alternates between Red and Blue.
• The next two beads are: Blue, Red.
• The arrow points alternately Up and Down.
• The next two arrows are: ↓ (Down), ↑ (Up).
1. The rule is adding 1 more dot each time (1, 2, 3, 4...).
2. The next group will have 5 dots (•••••).
• The rule is adding 2 each time.
• Next numbers: 8 + 2 = 10, 10 + 2 = 12.
• Odd positions (1st, 3rd, 5th) are Yellow.
• Even positions (2nd, 4th) are Green.
• The 5th tile will be Yellow.
• Alternating between A and B.
• Next letters: B, A.
• Day and Night is a repeating pattern because morning always follows night in a predictable cycle.
• Broken glass happens randomly and does not repeat.
• The rule is adding 5 each time.
• 20 + 5 = 25.
• 25 + 5 = 30.
• The pattern completes a full rotation in 4 steps.
• The 5th stamp repeats the 1st step: Leaf pointing up.
• Black and White stripes alternate across the zebra's body.
• Counting in tens: 10, 20, 30, 40, 50, 60.
• Following the alternating rhythm, the next action is Stamp.
• The continuous pattern consists of triangles (▲).
• The square (■) breaks the pattern.
• Each step adds 1 block.
• The 4th step will be 4 blocks high.
• Example pattern: O, X, O, X, O, X (or O, O, X, O, O, X).
Diwali Toran Decoration Case Study
Real-World Context: During Diwali utsav, Priya makes a door toran using green mango leaves and yellow marigold flowers in the pattern: Leaf, Flower, Leaf, Flower, Leaf, Flower.
Analytical Task: What comes next in Priya's toran pattern after the flower? How many leaves will she need if her toran has 6 flowers?
2. Since the pattern pairs 1 leaf with 1 flower, for 6 flowers she will need 6 mango leaves.
Chapter 10: How do I Spend my Day?
Daily Sequence, Morning to Night, Meal Times & Days of the Week
- Sequencing daily events in chronological order from morning to bedtime.
- Distinguishing Morning, Afternoon, Evening, and Night.
- Estimating duration: activities that take a short time vs long time.
- Learning the seven days of the week in correct order.
1. (b) Brushing teeth in morning → 1st
2. (d) Eating lunch at school → 2nd
3. (a) Eating dinner with family → 3rd
4. (c) Going to sleep in bed → 4th
• (a) Rising sun → Morning.
• (b) Moon and stars → Night.
• Blinking takes just 1 second.
• Eating lunch takes about 15 to 20 minutes, which is much longer.
• Tick (b) Eating your lunch.
• A large bathroom bucket takes more time because it holds much more water.
• A tea cup fills up in just 2 seconds.
• Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
• Tomorrow will be Thursday.
• Yesterday was Tuesday.
• Morning assembly takes place at the beginning of the school day (Morning).
• Simran on the bicycle will reach faster because cycling covers distance in less time than walking.
• Most schools have a weekly holiday on Sunday.
Times: [Morning, Afternoon, Night]. Textbook Exercise • Meal Association 3 Marks
• (a) Breakfast → Morning
• (b) Lunch → Afternoon
• (c) Dinner → Night
• Examples: Brushing teeth, taking a bath, eating breakfast, wearing school uniform.
• The day between Friday and Sunday is Saturday.
• There are 7 days in one complete week.
• Most students attend school on 5 or 6 days.
• Baking a cake takes longer (about 30 to 45 minutes).
• Boiling milk takes only a few minutes.
• In the night, we have dinner with family, read a storybook, and sleep in bed to rest.
School Day Schedule Case Study
Real-World Context: Aarav wakes up at 6:30 in the morning, studies at school until 1:30 in the afternoon, plays with friends at 5:00 in the evening, and goes to sleep at 9:00 at night.
Analytical Task: Which of these activities happens in the evening? If tomorrow is Sunday, what day was yesterday if today is Saturday?
2. If today is Saturday, yesterday was Friday.
Chapter 11: How Many Times?
Equal Groups, Pairs, Auto Wheels & Repeated Addition
- Equal grouping of concrete items (groups of 2, 3, 4, 5).
- Repeated addition as multiplication readiness (2 + 2 + 2 = 3 times 2 = 6).
- Counting legs of animals and wheels of vehicles in equal groups.
- Fair sharing and dividing into equal piles.
1. Number of children = 5
2. Shoes per child = 2
3. Repeated addition = 2 + 2 + 2 + 2 + 2 = 10 shoes (5 times 2 = 10).
• Number of dogs = 3
• Legs per dog = 4
• 4 + 4 + 4 = 12 legs altogether (3 times 4 = 12).
• Bags = 3
• Marbles per bag = 5
• 5 + 5 + 5 = 15 marbles (3 times 5 = 15).
• 4 + 4 = 8 table legs (2 times 4 = 8).
• 4 times 2 means adding 2 four times:
• 2 + 2 + 2 + 2 = 8.
• 1 pair = 2 pigeons
• 4 pairs = 2 + 2 + 2 + 2 = 8 pigeons.
• 5 + 5 = 10 petals (2 times 5 = 10).
• 3 + 3 + 3 = 9 wheels (3 times 3 = 9).
1. Total laddoos = 8
2. 8 shared equally into 2 groups: 4 + 4 = 8.
3. Each child gets 4 laddoos.
• 10 + 10 + 10 + 10 = 40.
• This is 4 times 10.
• 6 + 6 = 12 crayons (2 times 6 = 12).
• Each child has 10 fingers on two hands.
• 4 children = 10 + 10 + 10 + 10 = 40 fingers.
• 3 + 3 = 6 whiskers.
• 2, 4, 6, 8, 10.
• 5 bicycles have 10 wheels.
• '3 times 4' means adding 4 three times: 4 + 4 + 4 = 12.
• 4 + 4 + 4 = 12.
• The seller needs 3 trays.
Auto-Rickshaw Stand Case Study
Real-World Context: At the neighborhood stand, there are 4 auto-rickshaws parked in a row. Each auto-rickshaw has exactly 3 wheels.
Analytical Task: How many wheels do all 4 auto-rickshaws have altogether? Write the addition sentence and the total wheel count.
2. Addition sentence = 3 + 3 + 3 + 3 = 12 wheels altogether (4 times 3 = 12).
Chapter 12: How Much Can We Spend?
Indian Currency: Coins ₹1, ₹2, ₹5, ₹10, Notes ₹10, ₹20 & Toy Bills
- Recognizing Indian coins: ₹1, ₹2, ₹5, ₹10.
- Recognizing currency notes: ₹10 and ₹20 notes.
- Combining coins to pay an exact amount (e.g. ₹7 = ₹5 + ₹2).
- Calculating total cost of items bought at a stationary/toy shop.
- Calculating return change after payment.
• The four common Indian coins are: ₹1, ₹2, ₹5, and ₹10.
• Take one ₹5 coin and one ₹1 coin.
• ₹5 + ₹1 = ₹6.
• Take one ₹5 coin and one ₹2 coin.
• ₹5 + ₹2 = ₹7.
• ₹5 + ₹5 = ₹10.
• You need two ₹5 coins.
• Count in 2s: 2, 4, 6, 8, 10 (5 times).
• You need five ₹2 coins.
• Two ₹5 coins = ₹5 + ₹5 = ₹10.
• Yes, she paid the exact amount.
• Cost of top = ₹6
• Cost of balloon = ₹2
• Total cost = ₹6 + ₹2 = ₹8.
• Money given = ₹20
• Cost of notebook = ₹15
• Change returned = ₹20 - ₹15 = ₹5.
1. Place a coin underneath a sheet of paper.
2. Rub gently over the paper with a soft pencil.
3. The design and number (₹1, ₹2, ₹5) appears like magic on paper!
• ₹10 + ₹10 = ₹20.
• It takes two ₹10 notes to make ₹20.
1. Total cost of both = ₹8 + ₹5 = ₹13.
2. Aman only has ₹10.
3. Since ₹13 is more than ₹10, No, Aman cannot buy both toys together (he is short by ₹3).
(a) ₹5 + ₹5
(b) ₹5 + ₹2 + ₹1
(c) ₹2 + ₹2 + ₹1 Textbook Exercise • Match Money to Amount 3 Marks
• (a) ₹5 + ₹5 = ₹10
• (b) ₹5 + ₹2 + ₹1 = ₹8
• (c) ₹2 + ₹2 + ₹1 = ₹5
• The Indian Rupee symbol is ₹.
• It is derived from the Devanagari letter 'र' with a horizontal stroke across the top.
• ₹4 + ₹4 = ₹8.
• One ₹10 note and one ₹5 coin = ₹10 + ₹5 = ₹15.
• ₹20 - ₹18 = ₹2.
• The shopkeeper should give him a ₹2 coin.
• ₹5 + ₹5 = ₹10 saved.
Stationery Shop Purchase Case Study
Real-World Context: Rohan goes to the stationery shop with a ₹20 note. He buys a wooden pencil for ₹5 and an eraser for ₹3.
Analytical Task: What is the total cost of the pencil and eraser? How much change should the shopkeeper return to Rohan from his ₹20 note?
2. Change returned = ₹20 - ₹8 = ₹12 (e.g., a ₹10 coin and a ₹2 coin).
Chapter 13: So Many Toys and Puzzles
Counting Collections, Tally Tables, Most & Least Frequent Toys
- Collecting and recording data by counting objects in a picture.
- Organizing information into a simple frequency table.
- Finding which item appears the most number of times (most popular).
- Finding which item appears the least number of times.
- Counting letters in names and comparing lengths.
(a) How many toy cars are there? (Count: 4)
(b) How many footballs are there? (Count: 6)
(c) How many teddy bears are there? (Count: 3) Textbook Exercise • Counting Toys on the Shelf 2 Marks
• (a) Toy cars = 4
• (b) Footballs = 6
• (c) Teddy bears = 3
(a) Which toy is the most in number?
(b) Which toy is the least in number? Textbook Exercise • Most and Least 2 Marks
• (a) Footballs (6) are the most in number.
• (b) Teddy bears (3) are the least in number.
(a) AMAN
(b) SIMRAN
(c) OM
Which name has the most letters? Let Us Do • Counting Letters in Names 2 Marks
• AMAN = 4 letters
• SIMRAN = 6 letters
• OM = 2 letters
• SIMRAN has the most letters (6 letters).
• OM has only 2 letters.
• Therefore, OM has the least letters (shortest name).
• Apples = 5
• Bananas = 8
• Oranges = 3
• Total fruits = 5 + 8 + 3 = 16 fruits altogether.
• Bananas = 8
• Apples = 5
• Difference = 8 - 5 = 3 more bananas.
• Cows: 3
• Goats: 5
• Horses: 2
• Ducks: 4
• Total = 3 + 5 + 2 + 4 = 14 farm animals.
• Goats (5) are seen the most on the farm.
• Horses (2) are seen the least.
• Size 1 = 4
• Size 2 = 9
• Size 3 = 5
• Size 2 is worn by the most children (9 children).
• RAJU = 4 letters
• NEHA = 4 letters
• Yes, both names have exactly 4 letters.
• Red = 7 votes
• Blue = 7 votes
• Yes, Red and Blue got equal votes (7 = 7).
• Yellow (3 votes) was chosen by the least students.
• Erasers (5 dots) has more dots than Pencils (3 dots).
• 2 + 3 + 4 = 9 pens in all.
1. A table makes it easy to see exact counts quickly without recounting.
2. We can immediately tell which item is the most, which is the least, and the total.
Classroom Toy Day Survey Case Study
Real-World Context: On Toy Day, the teacher counts toys brought by Class 1 students: 5 toy cars, 7 stuffed teddy bears, and 2 wooden train sets.
Analytical Task: Which toy was brought by the most students? Which toy was brought by the least students? How many total toys were brought?
2. Least students brought wooden train sets (2).
3. Total toys = 5 + 7 + 2 = 14 toys in all.
Chapter 1: Shapes and Space
Inside-Outside, Bigger-Smaller, Top-Bottom, Rolling-Sliding & Shapes
- The Arab and his Camel: understanding Inside and Outside.
- Comparing sizes: Bigger vs Smaller, Biggest vs Smallest.
- Relative positions: Top vs Bottom, Nearer vs Farther, On vs Under, Above vs Below.
- Movement properties of 3D objects: Rolling vs Sliding.
- Sorting shapes by colour, size, and type into boxes.
• The camel asked: 'May I put my neck inside? It is too cold outside.'
• The Arab allowed him to put his neck inside the tent.
• Inside: The Camel was inside the tent.
• Outside: The Arab was outside in the cold desert night because the tent was too small for both.
• The Hippopotamus is bigger (tick ✓).
• The puppy is much smaller.
• The rose leaf is smaller (tick ✓).
• The banana leaf is bigger.
• The scooter tire is smaller (tick ✓).
• The tiny sapling (Tree 3) is the smallest tree.
• The Elephant is the biggest animal.
• The boy sitting at the highest point of the ladder is at the top.
• The boy on the grass is at the bottom.
• Bird A is nearest to home because 2 meters is a shorter distance than 8 meters.
• Cat 3 (near the far garden gate) is farthest from the tree.
• Nearest: Boy A.
• Farthest: Boy B.
• The book is on the desk.
• The cat is under the desk.
• The fan is above the boy.
• The boy is below the fan.
• An orange is round, so it goes into the Yellow Box (round balls).
• A wooden chalk box goes into the Pink Box.
Options: [Tomato, Die, Water pipe, Cone toy]. Textbook Exercise • Match Similar Shapes 2 Marks
• (a) Ball → Tomato (both round spheres)
• (b) Chalk-box → Die (both cubes)
• (c) Candle → Water pipe (both cylinders)
• (d) Party hat → Cone toy (both cones)
• Pencil: Rolls on its round side (✓)
• Ball: Rolls (✓)
• Tomato: Rolls (✓)
• Butter pack: Has flat faces, so it slides (not rolls).
• Briefcase (Suitcase): Has flat faces and slides (✓).
• Cucumber and Battery can roll on their sides and slide on flat ends.
1. Grandmother put the little lamb inside a hollow, round dholak.
2. She rolled the dholak down the slope.
3. Because the dholak was round, it rolled fast and took the lamb safely home.
Wise Grandmother's Rolling Dholak Case Study
Real-World Context: A little lamb was going to visit his grandmother. In the forest, a hungry wolf stopped him to eat him. The lamb requested, 'Let me go to my grandmother, I will grow fat and then you can eat me.' On returning, grandmother hid the lamb inside a wooden dholak and rolled it down the grassy hill.
Analytical Task: Why did the dholak roll smoothly down the hill instead of sliding? Did the wolf catch the lamb?
2. The dholak rolled very fast past the waiting wolf, and the lamb reached home safely without getting caught.
Chapter 2: Numbers from One to Nine
Counting 1 to 9, As Many As, More or Less, Make Groups & Zero
- One-to-one matching: 'As many as'.
- Counting physical objects from 1 to 9.
- Comparing collections: More vs Less.
- Counting and writing numerals and number names.
- Grouping objects into given numbers and concept of Zero.
• Yes, there are 5 cats and 5 mice.
• Since 5 = 5, there are as many mice as cats.
• Children = 5
• Chairs = 4
• 5 > 4, so Children are MORE (tick ✓).
• 2 watermelons match with numeral 2 (Two).
• There are 5 milk bottles. Numeral: 5 (Five).
• There are 3 wooden ladders. Numeral: 3 (Three).
• There are 4 gas cylinders. Numeral: 4 (Four).
• Circle 4 bottles together.
• 2 bottles remain uncircled.
• Draw a circle around any 3 trees.
• 2 trees remain outside.
• Ring 2 drums.
• 2 drums remain outside.
• Ring 5 lanterns.
• 7 - 5 = 2 lanterns remain outside.
• 'Three, three, three, three green parrots flying free!'
• 1 = One
• 2 = Two
• 3 = Three
• 4 = Four
• 5 = Five
• 6 = Six
• 7 = Seven
• 8 = Eight
• 9 = Nine
• 6 leaves → 6
• 7 glasses → 7
• 8 sticks → 8
• 9 mangoes → 9
• Total birds = 8
• Colored birds = 6
• Uncolored birds = 8 - 6 = 2 birds.
• 4 - 3 = 1 tree remains uncolored.
• 3 - 1 = 2 boats left uncolored.
• Missing numbers are: 2, 5, 7.
• Full sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9.
• Just before 5 is 4.
• Just after 5 is 6.
• The number between 7 and 9 is 8.
1. Total flowers = 3
2. Flowers plucked = 3
3. Flowers remaining = 3 - 3 = 0 (Zero).
4. Zero means no flowers are left in the pot.
• 4 - 4 = 0 birds.
• 3 - 3 = 0 mice.
• 3 - 3 = 0 balloons.
• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Playground Matchsticks Counting Case Study
Real-World Context: Five children are playing in the school garden. Teacher gives 1 biscuit to each child. Then she counts the remaining biscuits in the packet: there are 3 biscuits left.
Analytical Task: How many biscuits were given to the 5 children? How many total biscuits were in the packet originally?
2. Total biscuits originally = 5 given + 3 left = 8 biscuits.
Chapter 3: Addition
One More, How Many Altogether, Adding Pictures & Dominoes
- Understanding addition as putting together or adding to.
- The 'One More' concept (1 more than 4 is 5).
- Using the plus (+) and equal to (=) signs correctly.
- Addition facts up to 9 and zero in addition.
- Solving pictorial addition problems and number line addition.
• 2 + 1 = 3 parrots (Three).
• 3 + 1 = 4 parrots (Four).
• 4 + 1 = 5 parrots (Five).
• 2 + 1 = 3 cows.
• 3 + 2 = 5 children altogether.
• 5 + 2 = 7 flowers.
• 4 + 2 = 6 birds.
• 3 + 2 = 5 marbles.
• 3 + 0 = 3 balloons.
• 0 + 4 = 4.
• 2 + 4 = 6 dots.
4
+ 2
--- Textbook Exercise • Vertical Addition 2 Marks
4
+ 2
---
6
3
+ 5
--- Textbook Exercise • Add 3 and 5 2 Marks
3
+ 5
---
8
4
+ 0
--- Textbook Exercise • Add 4 and 0 2 Marks
4
+ 0
---
4
(a) 2 + 3 = __
(b) 7 + 1 = __
(c) 3 + 4 = __ Textbook Exercise • Horizontal Addition 3 Marks
• (a) 2 + 3 = 5
• (b) 7 + 1 = 8
• (c) 3 + 4 = 7
• 4 + 3 = 7
• 5 + 2 = 7
• 6 + 1 = 7
• All three expressions equal 7.
• 7 - 5 = 2.
• 5 + 2 = 7.
• 9 - 3 = 6.
• 6 + 3 = 9.
• Pair 1: 4 + 4 = 8
• Pair 2: 5 + 3 = 8 (or 6 + 2, 7 + 1).
• 6 + 2 = 8 ants.
• 3 + 3 = 6 frogs.
• 2 + 5 = 7
• 5 + 2 = 7
• Yes, both equal 7. The order of adding numbers does not change the total.
Cow in the Meadow Case Study
Real-World Context: Two cows are grazing in the green meadow. One more cow comes and joins them to graze sweet grass.
Analytical Task: How many cows are grazing altogether? If two more calves join, what is the new total?
2. With 2 more calves: 3 + 2 = 5 animals altogether.
Chapter 4: Subtraction
Take Away, Crossing Out, How Many Left & Subtraction Facts
- Understanding subtraction as 'Taking away' from a collection.
- Crossing out pictures/dots to find the remaining count.
- Using the minus sign (-) and equal to (=) signs.
- Subtraction facts within 9 and subtracting zero.
- Subtracting a number from itself (e.g. 5 - 5 = 0).
• 6 - 2 = 4 leaves left.
• 5 - 5 = 0 butterflies.
• When all items are taken away, zero remains.
• 3 - 1 = 2 frogs stay on the bank.
• 6 - 4 = 2 jugs left unbroken.
• 7 - 3 = 4 dots left.
8
- 2
--- Textbook Exercise • Vertical Subtraction 2 Marks
8
- 2
---
6
9
- 4
--- Textbook Exercise • Subtract 4 from 9 2 Marks
9
- 4
---
5
5
- 0
--- Textbook Exercise • Subtract Zero 2 Marks
5
- 0
---
5
7
- 7
--- Textbook Exercise • Subtract Number from Itself 2 Marks
7
- 7
---
0
(a) 4 - 2 = __
(b) 8 - 5 = __
(c) 9 - 1 = __ Textbook Exercise • Horizontal Differences 3 Marks
• (a) 4 - 2 = 2
• (b) 8 - 5 = 3
• (c) 9 - 1 = 8
• 6 - 3 = 3
• 5 - 2 = 3
• 7 - 4 = 3
• 8 - 5 = 3
• All four expressions equal 3.
• 8 - 7 = 1.
• 8 - 1 = 7.
• 3 + 2 = 5.
• 5 - 2 = 3.
• 6 - 3 = 3 bananas left.
• 9 - 5 = 4 sparrows remained.
• 7 - 4 = 3 candies.
• Count down from 9: 8, 7, 6, 5, 4, 3.
• 9 - 6 = 3.
• 8 - 8 = 0.
• Subtracting 1 gives the number just before it (the predecessor).
• Example: 7 - 1 = 6.
• 5 - 2 = 3.
• 2 - 5 cannot be done with whole positive numbers.
• No. Unlike addition, the order of numbers cannot be reversed in subtraction.
• Add the answer (5) to the number subtracted (3):
• 5 + 3 = 8 (the original number).
• This proves the subtraction is correct.
Leaves on a Twig Case Study
Real-World Context: A green twig had 6 tender leaves. A hungry caterpillar came and ate 2 leaves.
Analytical Task: How many leaves are left on the twig? If the caterpillar comes back and eats 4 more leaves, how many leaves remain?
2. After eating 4 more: 4 - 4 = 0 leaves left.
Chapter 5: Numbers from Ten to Twenty
Bundles of 10, Counting 10-20, Tens and Ones, Addition & Subtraction
- Making groups of 10 from loose objects (matchsticks, pencils).
- Counting from 10 to 20: 10 + 1 = 11 up to 10 + 10 = 20.
- Partitioning numbers into Tens and Ones.
- Comparing numbers from 10 to 20: greater than and smaller than.
- Addition and subtraction within 20.
• Exactly 10 loose matchsticks tied together make 1 bundle.
• 10 ones is called 1 Ten.
• Total cups = 14
• Circled group = 10 (1 ten)
• Uncircled cups = 14 - 10 = 4 cups.
• 10 = Ten
• 11 = Eleven
• 12 = Twelve
• 13 = Thirteen
• 14 = Fourteen
• 15 = Fifteen
• 16 = Sixteen
• 17 = Seventeen
• 18 = Eighteen
• 19 = Nineteen
• 20 = Twenty
• In 18, there is 1 Ten and 8 Ones (10 + 8 = 18).
• 15 = 1 Ten and 5 Ones (10 + 5 = 15).
• 12 = 1 Ten and 2 Ones.
• 20 = 2 Tens and 0 Ones (10 + 10 = 20).
• (a) 13 is bigger than 11 → Circle 13.
• (b) 16 is bigger than 14 → Circle 16.
• (a) 10 is smaller than 20 → Circle 10.
• (b) 12 is smaller than 17 → Circle 12.
• 13 is a 2-digit teen number (1 ten and 3 ones).
• 3 and 9 are 1-digit numbers.
• 13 is the biggest number.
• Comparing: 12 < 15 < 20.
• 12 is the smallest number.
• 4 + 5 = 9
• 14 + 5 = 10 + (4 + 5) = 10 + 9 = 19.
1. 8 needs 2 to make 10.
2. 7 = 2 + 5.
3. 8 + 2 = 10.
4. 10 + 5 = 15.
11
+ 5
--- Textbook Exercise • Addition 11 + 5 2 Marks
11
+ 5
---
16
17
- 5
--- Textbook Exercise • Subtraction 17 - 5 2 Marks
17
- 5
---
12 (7 - 5 = 2, bring down 1 ten).
• 18 = 10 + 8.
• Subtracting 8 leaves 10.
• 5 - 3 = 2.
• 10 + 2 = 12.
• 8 + 7 = 15 apples.
• 12 - 4 = 8 bananas left.
• Just before 13 is 12.
• Just after 18 is 19.
• The number between 14 and 16 is 15.
• 10 + 6 = 16
• 10 + 9 = 19
• 20 - 14 = 6 ones.
Matchstick Bundling Project Case Study
Real-World Context: Deepak has 14 loose matchsticks on his work table. His teacher asks him to make a bundle of 10 matchsticks using a red rubber band.
Analytical Task: How many bundles of 10 can Deepak make? How many loose matchsticks will remain outside the bundle?
2. Deepak can make 1 bundle of 10 matchsticks.
3. 4 loose matchsticks will remain outside.
Chapter 6: Time
Daily Routines, Morning to Night Sequence & Activity Duration
- Sequencing daily life routines: waking up, brushing, breakfast, school, playing, studying, sleeping.
- Identifying Morning, Afternoon, Evening, and Night.
- Comparing duration: activities taking longer vs shorter time.
- Sequencing steps of making chapati from kneading flour to baking.
1. (b) Waking up from bed → 1st
2. (d) Brushing teeth → 2nd
3. (c) Wearing school uniform → 3rd
4. (a) Eating breakfast → 4th
• (a) Bathing (✓)
• (b) Brushing teeth (✓)
• Sleeping in bed is done at night.
• (a) Playing in the park with friends is done in the evening (✓).
• (a) Going to sleep in bed is done at night (✓).
1. Take flour in a dish
2. Knead dough with water
3. Roll into a circle on chakla
4. Light the stove
5. Bake on fire (tawa)
• Filling a bucket takes longer (tick ✓) because a bucket holds many liters of water.
• Running takes less time because running is faster than walking.
• Priya by express bus will reach earlier because buses travel much faster than bicycles.
• Owls wake up and hunt during the night (nocturnal birds).
• Lunch is eaten in the afternoon.
• There are 7 days in a week.
• The first school day of the week is Monday.
• Sunday.
• Freezing water into ice takes more time (takes several hours).
• Boiling water takes only 2 to 3 minutes.
• The sky looks golden-yellow, orange, or light blue when the sun rises.
• Grandma tells bedtime stories at night before children go to sleep.
• (a) Sneezing → Short time (1 second).
• (b) Sleeping through the night → Long time (8 hours).
Making Chapati from Wheat Case Study
Real-World Context: Mother wants to make hot chapatis for lunch. She takes flour from the tin, pours water, kneads the dough, rolls a ball on the rolling board (chakla), and bakes it on the tawa.
Analytical Task: What is the first step in making chapati? Does kneading dough take place before or after baking on the tawa?
2. Kneading the dough takes place before baking on the tawa.
Chapter 7: Measurement
Longer-Shorter, Taller-Shorter, Heavier-Lighter & Handspans
- Comparing length: Longer vs Shorter, Longest vs Shortest.
- Comparing height: Taller vs Shorter, Tallest vs Shortest.
- Comparing weight: Heavier vs Lighter, Heaviest vs Lightest.
- Measuring length using non-standard body parts: Handspan, Cubit, Foot, and Pace.
• Ladder A is longer (tick ✓).
• Rope Y is shorter (tick ✓).
• Longest: Red pencil (15 cm).
• Shortest: Green pencil (6 cm).
• The Giraffe is taller (tick ✓).
• The little girl is shorter (tick ✓).
• Tick the tree with the highest top fronds (the tallest tree).
• The grass sprout is the shortest plant.
• The shirt is lighter (tick ✓).
• The iron lock is heavier.
• The Pumpkin is heavier (tick ✓).
• Heaviest: Iron water tank.
• Lightest: Water glass.
• The measuring tool is your handspan (the distance from stretched thumb to little finger).
• Length of the mat = 8 paces (footsteps).
• A standard eraser is approximately 2 to 3 finger-widths.
• The notebook is 6 matchsticks long.
• The monkey's side goes down because the monkey is heavier than the rabbit.
• The clay brick feels much heavier.
• The feather is extremely light.
• 12 cm ribbon is the longest.
1. Footsteps vary from child to adult.
2. A ruler has fixed centimeters that give the exact same measurement for everyone.
Measuring the Carpet with Footsteps Case Study
Real-World Context: Meena measures the floor carpet using her footsteps and counts 12 paces. Her brother counts 9 paces on the same carpet.
Analytical Task: Why is Meena's count 12 while her brother's is 9? Whose steps are bigger?
2. Because his steps are bigger, fewer steps (9) are needed to cover the carpet.
3. Meena's steps are smaller, so she needed 12 footsteps.
Chapter 8: Numbers from Twenty-one to Fifty
Bundles of 10 and Loose Units, 21-50 Strips & Number Grids
- Counting from 21 to 50 using bundles of 10 and loose sticks.
- Writing numerals and number names from Twenty-one to Fifty.
- Filling missing numbers in sequences and number strips.
- Identifying Tens and Ones digits.
• 2 bundles = 20
• 5 loose sticks = 5
• Total = 20 + 5 = 25 (Twenty-five).
• 3 tens + 3 ones = 30 + 3 = 33 (Thirty-three).
• 4 tens + 0 ones = 40 (Forty).
• 4 tens + 9 ones = 40 + 9 = 49 (Forty-nine).
• 5 tens = 50 (Fifty).
• Missing numbers: 22, 25, 27.
• Missing numbers: 33, 36, 38.
• Missing numbers: 42, 44, 47.
• 28 = 2 Tens and 8 Ones.
• 45 = 4 Tens and 5 Ones.
• 30 + 6 = 36.
• 40 + 2 = 42.
• 21 = Twenty-one
• 22 = Twenty-two
• 23 = Twenty-three
• 24 = Twenty-four
• 25 = Twenty-five
• 30 = Thirty
• 40 = Forty
• 50 = Fifty
• Just after 29 is 30.
• Just after 39 is 40.
• 50 - 1 = 49.
• The number is 36.
• (a) 3 tens > 2 tens → 32 is greater.
• (b) Same tens (4), but 8 ones > 1 one → 48 is greater.
• 30 + 5 = 35 roses.
• 20 + 9 = 29
• 40 + 7 = 47
• 10 + 10 + 10 + 10 + 10 = 50.
• Exactly 5 tens make 50.
• 25, 30, 35, 40, 45, 50.
Sugarcane Bundles Case Study
Real-World Context: Farmer Ramu ties harvested sugarcane stalks into bundles of 10 stalks each. He has 3 full bundles and 7 loose stalks.
Analytical Task: What total number of sugarcane stalks does Farmer Ramu have? Write the number in expanded form.
2. Total stalks = 30 + 7 = 37 sugarcane stalks.
3. Expanded form: 30 + 7 = 3 tens and 7 ones.
Chapter 9: Data Handling
Counting Shapes in Pictures, Letter Counts in Names & Frequency
- Counting distinct geometric shapes (triangles, circles, squares, rectangles) in a composite picture.
- Identifying which shape occurs the most and which occurs the least.
- Counting letters in names of friends.
- Finding which letter repeats most frequently across names.
• Count of triangles in the hat, face, and collar = 8 triangles.
• Count of circles (eyes, nose, buttons, and ball in hand) = 5 circles.
• Count of squares on the jacket and shoes = 4 squares.
• Count of rectangles (arms, legs, torso body) = 6 rectangles.
• Triangle occurs the most (8 times).
• Square occurs the least (4 times).
(a) SAROJ
(b) RADHA
(c) AARAV
(d) GEETA Textbook Exercise • Letters in Friends' Names 2 Marks
• (a) SAROJ = 5 letters
• (b) RADHA = 5 letters
• (c) AARAV = 5 letters
• (d) GEETA = 5 letters
All four names have exactly 5 letters.
• RAMESH = 6 letters
• SANTOSH = 7 letters
• RAJESH = 6 letters
• MURLI = 5 letters
• ROHAN = 5 letters
• Exactly 2 names (Ramesh, Rajesh) have 6 letters.
• Letter 'R' starts 4 out of the 5 names (Ram, Rohit, Radha, Rani).
• 'R' is the most common starting letter.
• In B-A-N-A-N-A, the letter 'A' appears 3 times.
• Bananas (7) are greatest in number.
• Melons (2) are the least.
• Bicycles (8) were seen the most.
• I, I, A are vowels.
• There are 3 vowels in the name INDIA.
• SUN = 3 letters
• MOON = 4 letters
• Total = 3 + 4 = 7 letters.
• The row of 6 crayons is longer because 6 > 4.
Joker's Geometric Costume Case Study
Real-World Context: In the circus picture, the joker's funny costume is made entirely of shapes: 8 triangles for the hat and collar, 5 circles for buttons and eyes, 6 rectangles for arms and legs, and 4 squares for the body pockets.
Analytical Task: Which shape is used the most in the joker's costume? Which shape is used the least? How many shapes were used in all?
2. Squares (4) are used the least.
3. Total shapes = 8 + 5 + 6 + 4 = 23 shapes in all.
Chapter 10: Patterns
Extending Sequences, T-Shapes, Arrow Patterns & Number Sequences
- Extending sequences of basic 2D shapes (circles, squares, triangles).
- Alternating letter and symbol patterns (T, ⊥, T, ⊥).
- Arrow direction patterns (Up, Down, Up, Down).
- Number patterns: counting in 1s, 2s, 5s, 10s.
- Patterns with dots, leaf prints, and growing geometric shapes.
• The pattern alternates between upright 'T' and upside-down '⊥'.
• Next two symbols: ⊥, T.
• The pattern alternates O and X.
• Next symbols: X, O.
• Next arrows: ↓ (Down), ↑ (Up).
• Next symbols: ↑↑, ↓↓.
• Next shapes: ▲ (Triangle), ● (Circle).
• Rule: Add 1 dot each time.
• Next group: 5 dots (•••••).
• Rule: Add 1 stick.
• Next is 5 sticks.
• Adding 2 each time:
• 8 + 2 = 10
• 10 + 2 = 12
• Adding 5 each time:
• 20 + 5 = 25
• 25 + 5 = 30
• 40 + 10 = 50
• 50 + 10 = 60
• Adding 2 to odd numbers:
• 7 + 2 = 9
• 9 + 2 = 11
• Subtracting 1 each time:
• 17 - 1 = 16
• 16 - 1 = 15
• Subtracting 10 each time:
• 30 - 10 = 20.
• Letter pairs in alphabetical order:
• Next pairs: GH, IJ.
• Following the cycle of the day: Afternoon, Evening.
• The 5th print will point Left.
• Next shapes: ■ (Square), ▲ (Triangle).
• The secret rule is: Add 3 each time (counting by 3s).
Iron Grill Window Pattern Case Study
Real-World Context: A blacksmith creates an ornamental window grill using alternating upright hearts and inverted hearts: ♡, ♢, ♡, ♢, ♡, ♢.
Analytical Task: What symbol comes next in the grill sequence? If the window frame has 10 upright hearts, how many total symbols are in the row?
2. Since upright and inverted hearts alternate equally, 10 upright + 10 inverted = 20 total symbols.
Chapter 11: Numbers
Numbers 51 to 100, Sugarcane Bundles of 10 & 100-Chart
- Extending place value to numbers from 51 to 100.
- Grouping by 10s: 5 tens = 50 up to 10 tens = 100.
- Writing numerals and number names up to One Hundred.
- Completing missing numbers in the 51-100 grid.
• 5 tens + 1 one = 50 + 1 = 51 (Fifty-one).
• 6 tens + 5 ones = 60 + 5 = 65 (Sixty-five).
• 7 tens + 3 ones = 70 + 3 = 73 (Seventy-three).
• 8 tens + 8 ones = 80 + 8 = 88 (Eighty-eight).
• 9 tens + 9 ones = 99 (Ninety-nine).
• 99 is the largest 2-digit number.
• 10 tens = 100 (One Hundred).
• 100 is the first 3-digit number.
• Missing numbers: 53, 55, 58.
• Missing numbers: 62, 65, 67.
• Missing numbers: 73, 75, 78.
• Missing numbers: 82, 85, 87.
• Missing numbers: 93, 95, 98.
• 64 = 6 Tens and 4 Ones.
• 89 = 8 Tens and 9 Ones.
• 60 = Sixty
• 70 = Seventy
• 80 = Eighty
• 90 = Ninety
• 79 + 1 = 80.
• 90 - 1 = 89.
• The number is 66.
• (a) 7 tens > 5 tens → 74 is greater.
• (b) 8 tens > 6 tens → 86 is greater.
• 70 + 5 = 75 marbles.
• 10 tens = 100
• 5 tens = 50
• 8 tens = 80
• 6 tens + 1 ten = 7 tens = 70.
• A score of 100 runs is called a Century.
• 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Sugarcane Harvesting Case Study
Real-World Context: Farmer Sham Lal ties sugarcane stalks into bundles of 10 stalks each. He has 6 full bundles and 4 loose stalks on his cart.
Analytical Task: How many sugarcane stalks does Sham Lal have in total? How many bundles will he have if he cuts 6 more stalks?
2. With 6 more stalks, loose stalks = 4 + 6 = 10 (which makes 1 new bundle).
3. Total bundles = 6 + 1 = 7 full bundles of 10 (70 stalks).
Chapter 12: Money
Coins, Currency Notes, Combining Coins to Pay Exact Price & Change
- Coins used in India: ₹1, ₹2, ₹5, ₹10.
- Notes used in India: ₹10, ₹20, ₹50, ₹100.
- Making different amounts using combinations of coins.
- Calculating the cost of buying toys and stationery.
- Calculating balance change returned by shopkeeper.
• ₹1 coin, ₹2 coin, ₹5 coin, and ₹10 coin.
• Pay with one ₹1 coin.
• Way 1: One ₹2 coin.
• Way 2: Two ₹1 coins (₹1 + ₹1 = ₹2).
• One ₹2 coin and one ₹1 coin (₹2 + ₹1 = ₹3).
• Way 1: Two ₹2 coins (₹2 + ₹2 = ₹4).
• Way 2: Four ₹1 coins (₹1 + ₹1 + ₹1 + ₹1 = ₹4).
• Way 1: One ₹5 coin.
• Way 2: Two ₹2 coins and one ₹1 coin (₹2 + ₹2 + ₹1 = ₹5).
• Way 3: Five ₹1 coins.
• ₹5 + ₹1 = ₹6.
• ₹10 note, ₹20 note, ₹50 note (and ₹100 note).
• ₹5 + ₹5 = ₹10.
• ₹7 + ₹2 = ₹9.
• ₹10 - ₹6 = ₹4 change.
• The raised metal number (like 5 or 10) and the national emblem emboss clearly on the paper.
• One ₹5 coin, one ₹2 coin, and one ₹1 coin.
• ₹5 + ₹2 + ₹1 = ₹8.
• Ruler = ₹5 coin
• Storybook = ₹20 note
• ₹5 + ₹5 = ₹10.
• The Lion Capital of Ashoka (Four Lions) is engraved on Indian coins.
• ₹10 + ₹10 = ₹20.
Village Fair Toy Stall Case Study
Real-World Context: At the village fair, a clay flute costs ₹8 and a paper pinwheel costs ₹4. Meena has a ₹20 note in her purse.
Analytical Task: What is the total cost of the flute and pinwheel? How much change should the stall owner give back to Meena?
2. Change returned = ₹20 - ₹12 = ₹8 (e.g. a ₹5 coin, a ₹2 coin, and a ₹1 coin).
Chapter 13: How Many
Counting Beads, Bundles, Stick Totals, Number Names & Word Problems
- Counting beads on a necklace and loose beads.
- Counting bundles of 10 and loose sticks to write numerals.
- Writing number names from given collections.
- Solving simple everyday word problems combining groups.
• 3 tens + 7 ones = 30 + 7 = 37.
• 4 tens + 5 ones = 40 + 5 = 45.
• 2 tens + 4 ones = 20 + 4 = 24 beads.
• 2 tens + 3 ones = 20 + 3 = 23 bananas.
• 15 = Fifteen.
• In 24, there are 2 tens (and 4 ones).
• 26 has 2 tens, while 13 has only 1 ten.
• Therefore, 26 is bigger.
• 1 toffee = ₹1
• 3 toffees = 1 + 1 + 1 = ₹3.
• 6 + 3 = 9 birds.
• Math sentence: 5 - 2 = 3 flowers left.
• 43 = 4 Tens and 3 Ones.
• (••••••••) = 8 (Eight).
• 47 = Forty-seven.
• 4 + 2 = 6 goats.
• 5 bundles of 10 make 50.
• 1. Counting numbers from 1 to 100 using tens and ones.
• 2. Addition and subtraction facts.
• 3. Shapes, patterns, time, and money.
Pearl Necklace Project Case Study
Real-World Context: Razia strings 3 necklaces with 10 pearls each and has 9 loose pearls left on her wooden craft tray.
Analytical Task: How many total pearls does Razia have? How many more loose pearls does she need to complete a 4th necklace of 10?
2. To make 10 from 9 pearls, she needs: 10 - 9 = 1 more pearl.
Frequently Asked Questions — Class 1 Mathematics NCERT Solutions
❓ Which textbooks are covered under Class 1 NCERT Mathematics?
Both official NCERT Class 1 Mathematics textbooks are fully covered: the new NEP 2020 textbook Joyful Mathematics (13 chapters) and the classic CBSE textbook Math-Magic Book 1 (13 chapters), totaling 26 chapters.
❓ Are labeled diagrams and visual models included in these solutions?
Yes, every single chapter features high-resolution vector SVG diagrams illustrating spatial positions, shapes, bundles of 10, addition, subtraction, money coins, and patterns.
❓ Do these solutions contain official CBSE step-by-step marking rubrics?
Yes, each solution provides a transparent step marking scheme showing exactly how marks are awarded for counting, method of grouping, calculation steps, and final units.