Lesson Plan — Shapes Around Us (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Identifying Shapes in the Environment | CG-7 – Observation and spatial reasoning. CG-6 – Awareness of physical surroundings. |
Identify 2D and 3D shapes from surroundings and objects. | Observation walk, classroom object collection, sorting activity. | The World Around Us, Art. | Oral questioning and observation checklist. | Flashcards, real objects (boxes, balls, bottles). | Observation, reasoning. | Identify and list shapes seen around home or school. |
| 2. Understanding 3D Shapes — Prisms and Pyramids | CG-7 – Spatial visualization. CG-8 – Logical thinking through comparison. |
Differentiate between prisms and pyramids through faces and edges. | Model-making using clay, cardboard, and straws. | Art, Science. | Model evaluation and peer discussion. | Clay, straws, cardboard shapes. | Hands-on learning, creativity. | Build prism/pyramid models using household materials. |
| 3. Nets of Solids | CG-7 – Exploring 3D shapes through unfolding and folding. CG-3 – Fine motor coordination. |
Understand concept of “net” and create it by cutting and folding paper. | Paper folding, guided craft demonstration. | Art, Geometry. | Worksheet and observation of folding accuracy. | Chart paper, scissors, glue. | Spatial reasoning, precision. | Use nets to wrap or design boxes. |
| 4. Properties of Solids (Faces, Edges, Corners) | CG-8 – Logical analysis. CG-7 – Understanding through counting and pattern finding. |
Count and record number of faces, edges, and vertices in solids. | Table filling activity with 3D models (cube, cuboid, pyramid). | Arts, The World Around Us. | Observation-based assessment. | Models, Jaadui Pitara Kit, straws, clay. | Analytical reasoning, observation. | Compare home objects by their faces and edges. |
| 5. Relationship Between Faces, Vertices, and Edges | CG-8 – Logical deduction. CG-9 – Discovering patterns and relations. |
Explore the formula F + V – E = 2 (Euler’s relation). | Data table completion and guided questioning. | Arts, Science. | Peer discussion and reasoning rubric. | Worksheet, cube models. | Reasoning, curiosity. | Verify relation using toys or household boxes. |
| 6. Understanding Angles (Right, Acute, Obtuse) | CG-7 – Visual recognition. CG-8 – Classification and comparison. |
Identify and classify angles through drawings and real objects. | Use of paper folding, matchstick activity, angle hunt. | Art, The World Around Us. | Angle identification sheet. | Protractor, matchsticks, paper strips. | Critical thinking, observation. | Find examples of angles in daily life. |
| 7. Drawing Circles – Radius and Diameter | CG-3 – Coordination and precision. CG-7 – Observation and measurement skills. |
Draw circles using thread, compass, and identify parts. | Hands-on compass drawing and folding demonstration. | Geometry, Art. | Notebook drawing check. | Compass, thread, circular paper. | Accuracy, curiosity. | Measure objects like plates or wheels using radius-diameter relation. |
| 8. Sorting Shapes (2D and 3D) | CG-8 – Logical sorting. CG-7 – Understanding shape attributes. |
Sort shapes based on faces, edges, and angles. | Venn diagram sorting and group chart making. | Arts, The World Around Us. | Group activity evaluation. | Shape cut-outs, charts. | Teamwork, reasoning. | Sort items at home as “flat” or “solid”. |
| 9. Drawing and Recognizing 2D Shapes | CG-12 – Art integration. CG-8 – Spatial understanding through geometry. |
Draw and identify shapes like triangle, square, pentagon. | Dot-grid drawing, shape tracing, pattern design. | Art, Design. | Drawing accuracy rubric. | Dot grid, rulers, pencils. | Creativity, observation. | Create geometric art with colourful shapes. |
| 10. Mathematical Thinking Through Models | CG-9 – Problem solving. CG-8 – Logical connection to real world. |
Understand relation between geometry and structures. | Building models using blocks or straws (cube towers). | Art, Engineering. | Model display and reasoning explanation. | Blocks, clay, straws. | Innovation, creativity. | Construct a model of house or tower using geometrical shapes. |
Suggested Activities (Short Explanations)
- Shape Hunt: Identify and record 2D and 3D shapes seen in classroom or street.
- Net Making: Cut and fold nets to make boxes and pyramids.
- Straw Models: Build prisms, pyramids, and triangles using straws and clay.
- Angle Walk: Find right, acute, and obtuse angles in your surroundings.
- Circle Art: Make designs using circles and compasses.
- Shape Sorting: Create a Venn diagram for curved and flat surfaces.
- Cube Tower Challenge: Build towers using cube blocks.
- Geometry Collage: Cut and paste magazine shapes into categories.
Lesson Plan — Where Are You Hiding? (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Observing Positions and Directions | CG-7 – Spatial reasoning. CG-6 – Understanding direction and position. |
Identify directions such as left, right, front, back using surroundings. | Hide-and-seek classroom activity and discussion. | The World Around Us, Physical Education. | Oral responses and observation checklist. | Classroom objects, floor grid. | Observation, logical thinking. | Describe positions of objects at home. |
| 2. Top, Front, and Side Views | CG-7 – Visualisation and perspective understanding. CG-8 – Analytical observation. |
Differentiate between top, front, and side views of common objects. | Object observation (box, bottle, chair) and drawing views. | Art, The World Around Us. | Worksheet based on matching views. | Boxes, blocks, drawing sheets. | Analytical thinking, visual reasoning. | Draw household items from different views. |
| 3. Grid and Mapping Skills | CG-9 – Mathematical communication through patterns. CG-7 – Locating positions using coordinates. |
Use grids to locate and mark objects using rows and columns. | Grid-based treasure hunt and clue game. | The World Around Us, Computer Science. | Performance in grid task. | Graph paper, counters, grid chart. | Critical thinking, collaboration. | Play grid games or board games using coordinates. |
| 4. Directions on Maps | CG-7 – Understanding map symbols. CG-6 – Spatial orientation and navigation. |
Identify cardinal directions and follow paths on a school map. | Use of floor maps, role-play as “guides.” | Geography, The World Around Us. | Map reading exercise. | School map, compass rose, chalk floor grid. | Navigation, collaboration. | Trace route from home to school using a simple map. |
| 5. Interpreting Different Views of Buildings | CG-7 – Connecting real-life geometry with art. CG-12 – Art integration through perspective drawing. |
Recognize that a single object looks different from different sides. | Draw and compare 3D views (building blocks). | Art, Arts | Drawing sheet evaluation. | Matchboxes, blocks, charts. | Creativity, spatial reasoning. | Draw your house from front and top view. |
| 6. Position Games – “Grid Game” | CG-8 – Logical thinking and pattern following. CG-5 – Cooperation in peer activity. |
Follow and give clues using grid coordinates. | Play-based learning with 3×3 or 4×4 grid. | The World Around Us, Physical Education. | Peer performance assessment. | Grid charts, markers. | Teamwork, communication. | Use directions to play treasure hunt at home. |
| 7. Map Reading and Route Tracing | CG-7 – Developing navigation and map interpretation. CG-8 – Reasoning through spatial data. |
Trace and describe routes between given points on school map. | Colour-coded tracing using maps and pencils. | Geography, The World Around Us. | Observation and oral questioning. | School plan, worksheets. | Decision-making, observation. | Trace route to different places at home or town. |
| 8. Estimation of Shortest Path | CG-9 – Problem-solving and optimisation. CG-7 – Logical deduction. |
Estimate and justify the shortest route using reasoning. | Compare two drawn paths and discuss time-saving routes. | The World Around Us, Arts | Worksheet and explanation test. | Map printouts, pencils. | Critical thinking. | Plan shortest walking route from classroom to playground. |
| 9. Project – Draw Your School Map | CG-12 – Artistic representation. CG-6 – Environmental awareness. |
Draw a sight map showing classroom and important school areas. | Guided map drawing with labelled sections. | Art, The World Around Us, Geography. | Display-based evaluation. | Chart paper, crayons, ruler. | Creativity, planning. | Draw home map showing route from gate to kitchen. |
| 10. Moral – Teamwork and Fair Play | CG-4 – Socio-emotional learning. CG-5 – Cooperation and empathy. |
Recognize importance of teamwork and fair play during activities. | Discussion after games and reflection writing. | Moral Science, Physical Education. | Self-reflection sheet. | Class activity setup. | Empathy, collaboration. | Help friends during group work or games. |
Suggested Activities (Short Explanations)
- Hide and Seek: Identify directions while playing in classroom or ground.
- Object Views: Observe everyday items from top, front, and side.
- Grid Treasure Hunt: Find items using coordinate clues.
- Draw and Match: Draw boxes from different views and match them.
- School Map: Trace route from gate to classroom using arrows.
- Drone View: Observe surroundings from above using a simple sketch.
- Path Challenge: Compare shortest and longest routes on school map.
- Map Making: Create your own house or classroom layout map.
Lesson Plan — Let Us Count (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Counting Objects and Grouping | CG-8 – Logical grouping and reasoning. CG-7 – Observation and quantification. |
Count and group items in 2s, 3s, 5s, and 10s; recognise counting patterns. | Hands-on counting with beads, seeds, and blocks. | The World Around Us, Art. | Worksheet and oral response. | Beads, sticks, counters. | Observation, logic, collaboration. | Group fruits, spoons, or pencils in sets at home. |
| 2. Patterns with Money | CG-9 – Logical and numerical reasoning. CG-6 – Relating maths to real-life contexts. |
Identify value patterns using play money and coins. | Money pattern arrangement and discussion. | - The World Around Us. | Observation sheet and oral answers. | Play money, coins, fake notes. | Financial literacy, logical thinking. | Arrange coins at home to represent specific amounts. |
| 3. Even and Odd Numbers | CG-8 – Analytical reasoning and classification. CG-7 – Pattern observation. |
Differentiate between even and odd numbers using pair concepts. | Pairing game with counters, visual pattern creation. | Art, The World Around Us. | Worksheet on even-odd sorting. | Counters, crayons, grid sheets. | Pattern recognition, reasoning. | Identify odd/even objects like chairs, windows, etc. |
| 4. Odd-Even Patterns in Daily Life | CG-6 – Observation of patterns. CG-8 – Logical comparison. |
Recognize even-odd patterns in textbook page numbers and real-life arrangements. | Observation and recording with classroom objects. | Language, The World Around Us. | Oral discussion and student journal. | Textbook pages, notebook. | Curiosity, analysis. | Explore odd/even numbers on house numbers or license plates. |
| 5. Consecutive Numbers | CG-8 – Identifying numerical patterns. CG-9 – Sequential reasoning. |
Identify and describe patterns in consecutive numbers. | Number line and skip-counting games. | Arts, Music (rhythmic counting). | Worksheet and oral test. | Number strips, floor grid. | Pattern discovery, reasoning. | Use skip counting in dance or steps activity. |
| 6. Comparing Number Sets | CG-8 – Logical comparison. CG-9 – Using reasoning for mathematical decisions. |
Compare and identify patterns between two groups of numbers. | Discussion-based comparison of series and groupings. | Arts, The World Around Us. | Group activity evaluation. | Flashcards, counters. | Critical thinking, problem-solving. | Observe shopping bills to see number patterns. |
| 7. Patterns and Repetition | CG-9 – Identifying and creating mathematical patterns. CG-12 – Integration with Art. |
Create visual patterns using shapes and colours. | Pattern-making with beads, rangoli, and tiles. | Art, Craft. | Observation and chart evaluation. | Beads, colour papers, tiles. | Creativity, aesthetic sense. | Design patterns using household objects. |
| 8. Number Pairs and Parity Concept | CG-7 – Discovering relationships. CG-8 – Logical reasoning. |
Find pairs in even numbers and singles in odd numbers. | Pairing counters or using paper cut-outs. | Art, Arts | Worksheet and reasoning explanation. | Buttons, pebbles, paper circles. | Problem-solving, logic. | Apply pairing concept in classroom seating. |
| 9. Real-Life Application of Counting | CG-6 – Mathematical connection with daily life. CG-9 – Logical application of numbers. |
Use counting to find totals and estimate group quantities. | Field-based counting tasks (trees, steps, bottles). | The World Around Us, Science. | Observation report and oral explanation. | School surroundings, worksheets. | Estimation, observation. | Estimate total fruits or utensils at home. |
| 10. Moral – Logical Thinking and Team Collaboration | CG-4 – Socio-emotional development. CG-5 – Cooperative problem-solving. |
Work collaboratively in group tasks and discuss reasoning. | Peer-led discussion and reflective sharing. | Moral Science, The World Around Us. | Peer feedback sheet. | Group setup materials. | Empathy, cooperation. | Encourage fair teamwork during classroom games. |
Suggested Activities (Short Explanations)
- Counting Train: Count objects in 2s, 3s, 5s, 10s using beads or buttons.
- Coin Pattern Game: Arrange coins to form given numbers.
- Even-Odd Hunt: Colour even numbers blue, odd numbers red.
- Number Race: Identify and stand on even/odd numbers on floor grid.
- Skip-Count Song: Sing multiplication pattern songs.
- Pattern Wall: Display classroom-made patterns using shapes or numbers.
- Number Map: Make number pattern using play money.
- Pairing Puzzle: Match number cards to form even-number pairs.
Lesson Plan — Thousands Around Us (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding 1000 and Beyond | CG-7 – Number sense and place value understanding. CG-9 – Logical reasoning through numerical expansion. |
Recognize numbers up to 1000 and represent them using Dienes blocks. | Use blocks to visualize 1, 10, 100, and 1000; group and regroup. | The World Around Us, Art. | Observation checklist and oral reasoning. | Dienes blocks, number cards, counters. | Numerical thinking, visualization. | Identify 1000-based items like library books, leaves, or people. |
| 2. Indian Place Value System | CG-7 – Understanding of number representation in Indian context. CG-9 – Relating number positions with value. |
Identify Thousands, Hundreds, Tens, and Ones (Th, H, T, O). | Use place value charts, arrow cards, and tokens for demonstration. | Language, Social Studies. | Worksheet with number-to-name and name-to-number matching. | Place value mats, tokens, charts. | Analytical thinking, reasoning. | Write large numbers in real-life contexts (population, distance, etc.). |
| 3. Expanded and Short Forms | CG-9 – Analytical reasoning using number decomposition. CG-8 – Logical representation of quantities. |
Write expanded and short forms of 4-digit numbers. | Use arrow cards and number sliders for hands-on practice. | Arts, The World Around Us. | Worksheet and oral recitation. | Arrow cards, flashcards, sliders. | Decomposition, representation. | Relate expanded form to currency or measurement units. |
| 4. Comparing and Ordering Numbers | CG-8 – Comparison and logical arrangement. CG-7 – Pattern understanding. |
Compare and arrange 4-digit numbers using place value. | Use number cards and “greater than/less than” games. | The World Around Us, Games. | Quiz and peer-assessment. | Flashcards, number lines. | Critical reasoning, teamwork. | Compare school data (students, books, distances, etc.). |
| 5. Grouping and Regrouping (Ones, Tens, Hundreds, Thousands) | CG-7 – Base-10 understanding. CG-9 – Logical deduction and number manipulation. |
Regroup quantities in ones, tens, hundreds, and thousands. | Hands-on grouping using physical materials or pictorial tasks. | Art, Science (data collection). | Teacher observation and table completion. | Dienes blocks, abacus, paper grids. | Problem-solving, observation. | Use grouping concept in counting materials or votes. |
| 6. Number Sequences and Patterns | CG-9 – Pattern identification and logical reasoning. CG-8 – Visual number comprehension. |
Complete number patterns and sequences up to 4-digits. | Number line, skip counting, and pattern games. | Music, The World Around Us. | Worksheet and oral repetition. | Number lines, grid charts. | Pattern reasoning, memory skills. | Observe real patterns (dates, calendar numbers, vehicle numbers). |
| 7. Numbers in Real-Life Contexts | CG-6 – Relating mathematics to surroundings. CG-7 – Application of numerical data. |
Recognize 1000-based quantities in real-life settings. | Survey and record 1000+ data (students, trees, books). | The World Around Us, Geography. | Project chart evaluation. | Survey forms, data sheets. | Observation, analytical thinking. | Use local data to understand the concept of large numbers. |
| 8. Reading and Writing Large Numbers | CG-7 – Mathematical communication. CG-9 – Systematic number writing. |
Read, write, and express 4-digit numbers in words and numerals. | Number dictation and verbal expression games. | Language Integration. | Dictation and peer check. | Number flashcards, whiteboard. | Communication, accuracy. | Write numbers from bills, population charts, and calendars. |
| 9. Number Comparison Using Place Value Tables | CG-9 – Analytical reasoning through position value. CG-8 – Logical understanding of magnitude. |
Compare numbers using Th, H, T, O table. | Interactive chart-based activity. | The World Around Us, Data handling. | Table worksheet assessment. | Chart papers, place value mats. | Analysis, reasoning. | Apply while comparing quantities in markets or festivals. |
| 10. Moral – Cooperation and Record-Keeping | CG-4 – Social awareness. CG-5 – Collaboration and responsibility. |
Understand value of teamwork in community events. | Story of Gurudwara langar with group discussion. | Moral Science, The World Around Us. | Oral reflection. | Story cards, visuals. | Empathy, cooperation. | Record daily home or school usage items using numbers. |
Suggested Activities (Short Explanations)
- Dienes Block Grouping: Create and regroup ones, tens, hundreds, and thousands.
- Arrow Card Challenge: Form numbers using Thousands-Hundreds-Tens-Ones cards.
- Number Hunt: Identify large numbers on bottles, books, or bills.
- Community Count: Count total participants/items in a classroom or event.
- Place Value Slider: Increase or decrease numbers to show digit change.
- Compare & Order: Arrange student roll numbers from smallest to largest.
- Find Me! Locate 4-digit numbers in a grid puzzle.
- Number Sorting: Classify data (population, objects) above or below 1000.
Lesson Plan — Parts and Wholes (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Equal Parts | CG-7 – Observation and comparison of quantities. CG-8 – Logical understanding of equal sharing. |
Recognize when a whole is divided into equal parts. | Paper folding and cutting activities (halves and quarters). | Art, The World Around Us. | Observation and oral questioning. | Paper sheets, scissors, glue. | Observation, reasoning. | Divide a chapati or chocolate into equal halves at home. |
| 2. Fractions – Half and Quarter | CG-7 – Visual representation of parts and wholes. CG-8 – Logical-symbolic reasoning. |
Represent ½ and ¼ as equal parts of a whole object. | Hands-on demonstration with paper or food items. | Art, Home Science. | Worksheet and observation checklist. | Fraction kit, coloured paper circles. | Conceptual clarity, logical reasoning. | Identify halves and quarters in everyday items (apple, pizza). |
| 3. Fractions as Equal Sharing | CG-9 – Logical and numerical reasoning. CG-6 – Application to real-world sharing. |
Share food or paper among people equally and express using fractions. | Story-based sharing activity (“Dhokla Story”). | Language, The World Around Us. | Group performance and oral reflection. | Paper plates, story visuals. | Empathy, cooperation. | Share a snack equally with friends and describe it as fractions. |
| 4. Comparing Fractions | CG-9 – Logical comparison and ordering. CG-7 – Pattern recognition and reasoning. |
Compare fractions with same and different denominators. | Use fraction strips and kits for visual comparison. | Art, The World Around Us. | Matching and quiz-based worksheet. | Fraction strips, charts. | Critical thinking, analysis. | Compare portions of fruits or cakes cut in class. |
| 5. Fractions Greater and Smaller than Half | CG-8 – Analytical reasoning. CG-9 – Estimation and logical deduction. |
Identify fractions greater or less than ½ using visual clues. | Use circular paper folding and estimation activities. | Science, Art. | Observation and worksheet. | Paper circles, markers. | Reasoning, estimation. | Predict which slice of fruit is bigger than half. |
| 6. Equivalent Fractions | CG-9 – Pattern discovery and reasoning. CG-8 – Logical deduction. |
Find equivalent fractions using folding and area models. | Demonstrate with paper folds: ½ = 2/4 = 3/6. | The World Around Us, Art. | Worksheet and group check. | Fraction chart, folding sheets. | Observation, problem-solving. | Find equivalent portions while cutting fruits or pizza. |
| 7. Fractions Using Real Objects | CG-6 – Real-world connection of mathematical ideas. CG-7 – Visual modeling. |
Represent fractions with real objects (diya, cookies, ribbons). | Hands-on activities from textbook (cookies, diya, ribbon examples). | The World Around Us, Home Science. | Observation and oral questioning. | Real materials (cookies, ribbons, diyas). | Creativity, observation. | Identify fractional parts in real-life items around home or market. |
| 8. Fraction Kit and Chart Exploration | CG-7 – Pattern visualization. CG-9 – Logical generalization. |
Use fraction kit to explore relations between parts and whole. | Explore and compare strips of ½, ¼, ⅛ etc. | Art, Mathematics Lab. | Teacher observation and oral quiz. | Fraction kit, coloured paper strips. | Exploration, reasoning. | Create personal fraction chart for classroom display. |
| 9. Fractions in Nature and Environment | CG-6 – Connecting mathematics with environment. CG-4 – Ethical appreciation of sharing. |
Identify fractions in natural objects (flowers, leaves, fruits). | Observation walk and drawing representation. | The World Around Us, Art. | Drawing worksheet. | Nature objects, notebooks. | Observation, empathy. | Draw parts and wholes seen in daily life. |
| 10. Moral – Sharing and Equality | CG-4 – Social and emotional learning. CG-5 – Cooperation and fairness. |
Understand the importance of equal sharing and fairness. | Classroom story, group reflection. | Moral Science, The World Around Us. | Oral reflection. | Story chart or visual aid. | Empathy, fairness, teamwork. | Practice sharing food equally at lunch. |
Suggested Activities (Short Explanations)
- Paper Folding: Fold a sheet to show halves and quarters.
- Fraction Dhokla: Use a circular chart to divide and share “dhokla.”
- Cookie Fractions: Divide cookies among friends and represent fractions.
- Fraction Kit Play: Match parts to form a complete whole.
- My Flower Garden: Colour parts of a garden in fractional divisions.
- Dosa Designer: Create fractional toppings using circle charts.
- Ribbon Comparison: Compare lengths to identify fractions like ½ or ¼.
- Fraction Collage: Draw or cut shapes to represent various fractions.
Lesson Plan — Measuring Length (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Length and its Dimensions | CG-7 – Observation and measurement understanding. CG-6 – Real-life contextual learning. |
Differentiate between length, height, depth, and breadth in real objects. | Classroom observation, questioning, and real-object comparison. | The World Around Us, Art. | Oral questions and observation sheet. | Classroom items, ruler, measuring tape. | Observation, reasoning. | Identify examples of tall, long, short, wide objects at home. |
| 2. Measuring in Metres | CG-7 – Use of standard units of measure. CG-8 – Logical estimation and accuracy. |
Measure objects using metre ropes or tapes; relate metre to real-world lengths. | Outdoor activity: Draw 1 m, 5 m, and 10 m lines and walk/jump on them. | The World Around Us, Physical Education. | Observation and worksheet. | Ropes, metre tape, chalk lines. | Estimation, practical learning. | Estimate household distances using footsteps. |
| 3. Estimation and Comparison of Lengths | CG-8 – Analytical estimation. CG-7 – Logical reasoning through comparison. |
Estimate, compare, and measure classroom items. | Prediction, measurement with ropes, and peer discussion. | Science, The World Around Us. | Comparison chart and oral questions. | Ropes, ruler, tape. | Estimation, analysis. | Estimate and compare objects around home (door, desk, plant). |
| 4. Measuring in Centimetres | CG-7 – Understanding smaller units of measure. CG-9 – Logical relationships between cm and m. |
Recognize and use centimetre as a unit of length. | Use scale to measure small objects and note readings. | The World Around Us, Art. | Worksheet and observation notes. | Scale, measuring tape. | Accuracy, precision. | Measure small items like erasers, pencils, seeds. |
| 5. Conversion Between Metre and Centimetre | CG-8 – Numerical reasoning. CG-9 – Conceptual understanding of unit relationships. |
Convert cm to m and vice versa using examples. | Hands-on chart showing 1 m = 100 cm with paper strips. | Arts, The World Around Us. | Oral and written exercises. | Paper metre strips, scale. | Numerical reasoning. | Convert measurements in home items (tables, windows). |
| 6. Measuring with Broken Scale | CG-9 – Problem-solving and reasoning. CG-8 – Logical deduction. |
Measure accurately even when scale starts from mid-point. | Activity with broken scale demonstration. | Science, Craft. | Worksheet task. | Broken scale, notebook. | Problem-solving, reasoning. | Measure an item with a damaged scale at home. |
| 7. Understanding Perimeter | CG-9 – Analytical understanding of shapes. CG-7 – Connecting length to boundary. |
Understand that perimeter is the total boundary length of a closed shape. | Measure perimeters using ropes and dot grids. | Art, The World Around Us. | Worksheet and activity observation. | Dot grid paper, ropes. | Spatial reasoning, logical thinking. | Find perimeter of classroom objects (desk, board). |
| 8. Estimating Length and Height | CG-8 – Logical estimation. CG-7 – Application in real contexts. |
Estimate and measure the height of classmates and objects. | Peer activity: measure each other’s height and compare results. | The World Around Us, Physical Education. | Measurement table chart. | Measuring tape, notebook. | Observation, collaboration. | Record height of family members at home. |
| 9. Long and Short Distances | CG-6 – Connection of mathematics to surroundings. CG-9 – Real-life comparison. |
Identify long and short distances using estimation. | Use outdoor walks, school field activities, and rope measurements. | Geography, The World Around Us. | Oral questioning and comparison chart. | Rope, chalk, cones. | Spatial reasoning, awareness. | Compare distances between classroom points or landmarks. |
| 10. Moral – Accuracy and Teamwork | CG-4 – Socio-emotional learning. CG-5 – Cooperation and responsibility. |
Understand importance of teamwork and accuracy in measurement. | Group activity for measuring classroom objects collaboratively. | Moral Science, The World Around Us. | Peer feedback and reflection. | Measuring tools, chart paper. | Teamwork, responsibility. | Practice group work during science experiments. |
Suggested Activities (Short Explanations)
- 1 Metre Rope: Make 1 m, ½ m, and ¼ m ropes to compare lengths.
- Walk the Metre: Mark 1 m and 10 m lines and walk to estimate distance.
- Measure Me: Measure classmates' heights and compare.
- Broken Scale Task: Measure with a broken ruler to find hidden lengths.
- Perimeter Hunt: Measure objects' boundaries using a string or ruler.
- Treasure Route: Measure shortest and longest paths on a grid map.
- Long Jump Measure: Record jump distances using metre tape.
- Convert It: Convert given cm readings into m and vice versa.
Lesson Plan — My School Trip (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Estimation and Mental Arithmetic | CG-8 – Logical reasoning and estimation. CG-7 – Use of flexible methods in computation. |
Estimate totals and differences in real contexts such as shopping or travel. | Group estimation games using pretend money or classroom objects. | The World Around Us, Economics. | Oral questioning and group reasoning chart. | Play money, shopping list cards. | Logical reasoning, decision-making. | Estimate shopping totals at home using local price lists. |
| 2. Addition of 2- and 3-Digit Numbers with Regrouping | CG-9 – Performing arithmetic with regrouping. CG-8 – Understanding base-10 system. |
Add multi-digit numbers using column method and real-world examples. | Use tokens, Dienes blocks, and number lines before algorithms. | The World Around Us, Art (visual aids). | Written exercises and observation of regrouping steps. | Dienes blocks, chart paper, number cards. | Analytical thinking, accuracy. | Calculate total trip cost from price lists. |
| 3. Subtraction and Balance Calculation | CG-8 – Logical reasoning through inverse operations. CG-9 – Understanding of “take away” and “difference”. |
Find balance or change in real-life monetary situations. | Role-play of shopkeeper–customer interactions. | - The World Around Us. | Worksheet with subtraction sums and money-based problems. | Play currency, number charts. | Practical reasoning, problem-solving. | Calculate change in daily shopping experiences. |
| 4. Word Problems (Add/Subtract) | CG-9 – Connecting mathematical reasoning with language. CG-7 – Comprehending situational problems. |
Solve story-based problems using drawings or number models. | Draw pictorial representations for addition/subtraction problems. | Language, The World Around Us. | Story-problem worksheet and peer discussion. | Textbook pictures, charts. | Comprehension, reasoning. | Design daily-life story sums based on school or trip. |
| 5. Regrouping and Base-10 Concept | CG-7 – Place value understanding. CG-9 – Logical reasoning of quantity grouping. |
Understand that 10 ones = 1 ten; 10 tens = 1 hundred. | Use tokens, number rods, and abacus demonstrations. | Arts, The World Around Us. | Observation and regrouping activity record. | Abacus, tokens, place value mat. | Spatial and numerical reasoning. | Use regrouping while counting items in real-world contexts. |
| 6. Shopping and Money Transactions | CG-6 – Application of mathematics to life situations. CG-8 – Logical comparison. |
Perform addition and subtraction in context of money handling. | Classroom market simulation using play money. | - The World Around Us, Moral Science. | Oral reflection and purchase–balance sheet. | Play money, charts, price tags. | Financial literacy, cooperation. | Practice calculating total and change while buying items at home. |
| 7. Estimating Distance and Time (Trip Context) | CG-7 – Measurement understanding. CG-6 – Application to real context. |
Estimate travel time and distance using simple addition/subtraction. | Class map and travel chart demonstration. | The World Around Us, Geography. | Class discussion and group task chart. | India map, classroom clock. | Estimation, observation. | Estimate distance from home to school or market. |
| 8. Logical Puzzles and Reasoning | CG-9 – Problem solving through logic. CG-8 – Exploring patterns and relations. |
Use reasoning to complete puzzles and magic triangles. | Hands-on puzzle activities using number cards. | Arts, Art. | Worksheet evaluation. | Triangle grids, number tokens. | Critical thinking, creativity. | Create and solve new number puzzles at home. |
| 9. Addition and Subtraction of 3-Digit Numbers | CG-9 – Mastery of four operations. CG-7 – Logical sequencing. |
Perform multi-digit operations with regrouping and estimation. | Number cards, table alignment, and block models. | The World Around Us, Language. | Notebook work and observation. | Abacus, place value strips. | Analytical reasoning, precision. | Apply arithmetic to shopping bills or trip records. |
| 10. Moral – Responsibility and Team Learning | CG-4 – Socio-emotional development. CG-5 – Collaboration and cooperation. |
Develop awareness of teamwork and fairness in real contexts. | Group discussion on sharing responsibilities during school trips. | Moral Science, The World Around Us. | Reflection chart and oral feedback. | Poster/chart materials. | Empathy, teamwork. | Participate responsibly in class trips or school activities. |
Suggested Activities (Short Explanations)
- Shopping Game: Create a mini-market in class for addition/subtraction practice.
- Bus Trip Chart: Calculate total children and teachers going on the trip.
- Balance Return Task: Act as shopkeeper to return change accurately.
- Magic Triangle: Use numbers 1–6 to make each side’s sum equal.
- Trip Cost Puzzle: Find total expenses for items bought by Daisy and Lou.
- Number Grid Challenge: Find pairs with the greatest/smallest sum or difference.
- Story Math: Write a small travel-based math problem and solve it.
- Estimation Walk: Estimate and record distances during a school walk.
Lesson Plan — Weigh It, Pour It (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Weight and Balance | CG-7 – Developing quantitative reasoning. CG-6 – Relating mathematics to surroundings. |
Identify heavy and light objects through observation and reasoning. | Class discussion and balance scale demonstration. | The World Around Us, Physical Science. | Observation and oral responses. | Pan balance, classroom objects. | Observation, comparison. | Compare objects at home by holding and estimating their weight. |
| 2. Standard Units of Weight (kg, g) | CG-7 – Understanding measurement systems. CG-8 – Logical reasoning with quantities. |
Recognize and use kilogram (kg) and gram (g) as standard units. | Show real packages labeled with weight and discuss conversions. | The World Around Us, Economics. | Worksheet and practical demonstration. | Weighing balance, labeled packets (500g, 1kg). | Numerical reasoning, estimation. | Identify household items labeled in grams and kilograms. |
| 3. Conversion Between kg and g | CG-8 – Logical deduction and unit understanding. CG-9 – Applying arithmetic to real contexts. |
Convert grams into kilograms and vice versa using examples. | Hands-on with 500g and 250g packets to form 1kg. | The World Around Us, Arts | Worksheet and oral questions. | Packets of 100g, 250g, 500g. | Estimation, reasoning. | Relate conversions while buying grocery items. |
| 4. Estimation and Measurement of Weight | CG-7 – Observation and estimation. CG-8 – Logical comparison and validation. |
Estimate and measure weights of fruits and vegetables. | Weigh objects first by estimation, then verify using balance. | The World Around Us, Home Science. | Activity worksheet and observation notes. | Fruits, vegetables, weighing machine. | Estimation, observation. | Weigh groceries or household items using a kitchen scale. |
| 5. Using Pan Balance and Electronic Scales | CG-8 – Logical reasoning through technology use. CG-9 – Applying measurement in life. |
Use different types of weighing machines to measure weight. | Demonstration of manual and digital weighing scales. | Science, The World Around Us. | Oral questioning and group work. | Pan balance, electronic scale. | Technology awareness, accuracy. | Observe and note machines used in shops. |
| 6. Measuring Capacity (l, ml) | CG-7 – Understanding liquid measurement. CG-6 – Connecting mathematics with daily life. |
Measure and compare capacities using standard containers. | Hands-on activity with 1L and 500ml bottles. | The World Around Us, Home Science. | Worksheet and direct observation. | Measuring jugs, bottles, cups. | Observation, estimation. | Compare capacities of bottles used daily (water, milk, oil). |
| 7. Conversion Between l and ml | CG-9 – Applying arithmetic reasoning. CG-8 – Understanding relationships between units. |
Convert litres to millilitres and vice versa using practical examples. | Fill 1L bottle using 100ml and 250ml measuring cups. | The World Around Us, Science. | Written and oral tasks. | 1L bottles, small cups, syringes. | Logical reasoning, application. | Estimate daily water and milk consumption in litres. |
| 8. Estimation and Verification in Capacity | CG-7 – Estimation and validation. CG-9 – Applying mathematical reasoning. |
Estimate water volumes and verify by pouring into measured bottles. | Activity with containers of varying sizes. | The World Around Us, Art. | Observation sheet. | Measuring jars, bottles, droppers. | Estimation, observation. | Estimate daily water use in cooking or cleaning. |
| 9. Conservation and Use of Water | CG-4 – Environmental awareness. CG-6 – Application of knowledge for sustainability. |
Identify ways to conserve water and measure wastage. | Demonstration of dripping tap water collection and discussion. | The World Around Us, Moral Science. | Reflection worksheet. | Containers, measuring cup. | Responsibility, awareness. | Measure and record daily water use at home. |
| 10. Moral – Care, Accuracy, and Sustainability | CG-4 – Ethical responsibility. CG-5 – Cooperation and awareness. |
Show responsibility in conserving water and avoiding wastage. | Group discussion on water saving and mindful use. | Moral Science, The World Around Us. | Oral reflection. | Charts, visuals. | Empathy, care, responsibility. | Observe water-saving practices at home. |
Suggested Activities (Short Explanations)
- Weigh and Guess: Estimate and check the weight of common fruits.
- Market Math: Set up a classroom vegetable market for weighing tasks.
- Equal Packets: Combine small weight packets to make 1 kg.
- Water Race: Fill 1L bottles using 100ml cups to understand litres.
- Droplet Science: Measure how many droppers fill a teaspoon.
- Water Wastage Watch: Collect and measure leaking tap water in 1 hour.
- Conversion Relay: Group activity for kg↔g and l↔ml conversions.
- Home Survey: Record household items sold by weight or volume.
Lesson Plan — Equal Groups (Multiplication and Division) (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Equal Groups and Multiplication | CG-7 – Observation and reasoning through patterns. CG-8 – Logical representation of repeated addition. |
Recognize multiplication as repeated addition using equal groups. | Use grouping of real objects and drawing arrays on board. | The World Around Us, Art. | Observation sheet and oral questions. | Sticks, beads, pictures, counters. | Reasoning, pattern recognition. | Make equal groups of fruits or buttons at home. |
| 2. Concept of Multiples and Skip Counting | CG-7 – Number sense through patterns. CG-9 – Understanding of multiples and factors. |
Identify multiples of 2, 3, 4, etc., using skip counting and number lines. | Jumping games on number line and digital interactive boards. | Physical Education, Music (rhythmic counting). | Worksheet and oral test. | Number lines, hopscotch mat, digital board. | Logical thinking, observation. | Find common multiples through games at home. |
| 3. Multiplication as Array and Area Model | CG-8 – Spatial visualization. CG-9 – Relating geometry with arithmetic. |
Represent multiplication through rows and columns. | Use dot grids and charts to show equal grouping. | Art, Geometry. | Worksheet and group discussion. | Dot grid, chart paper, colored stickers. | Visualization, creativity. | Identify real-life arrays (bricks, tiles, seating rows). |
| 4. Doubling and Halving | CG-8 – Logical reasoning and number patterns. CG-9 – Flexible computation strategies. |
Understand doubling and halving as multiplication and division by 2. | Hands-on activities using dice, beads, and number cards. | The World Around Us, Music (beat-based doubling). | Practice worksheet and observation. | Cards, number strips, manipulatives. | Problem-solving, flexibility. | Double or halve real-life quantities (toffees, apples). |
| 5. Multiplication Tables and Patterns | CG-7 – Recognizing patterns in multiplication tables. CG-9 – Understanding commutative property. |
Observe repeating patterns and relationships between numbers. | Color-coded multiplication grid and discussion. | Art, Music. | Table chart quiz. | Multiplication grid, colored pencils. | Pattern recognition, analytical thinking. | Explore patterns in daily objects (calendar dates, clock numbers). |
| 6. Word Problems in Multiplication | CG-9 – Application of operations in context. CG-8 – Language comprehension through problem solving. |
Solve story-based problems involving repeated addition. | Use pictures, role-play, and collaborative problem solving. | Language, The World Around Us. | Written exercises and oral explanation. | Story cards, flashcards. | Comprehension, collaboration. | Create personal stories using multiplication situations. |
| 7. Concept of Division as Sharing and Grouping | CG-7 – Understanding division as equal sharing. CG-9 – Connecting division and multiplication. |
Use real objects to divide equally among groups. | Sharing activity using seeds, blocks, or digital simulation. | The World Around Us, Moral Science. | Observation and performance-based evaluation. | Counters, seeds, interactive board. | Empathy, fairness, reasoning. | Share snacks or toys equally among friends. |
| 8. Division as Repeated Subtraction | CG-9 – Logical deduction through iteration. CG-8 – Sequential thinking. |
Understand division by taking away equal groups repeatedly. | Use pictorial subtraction and tally marks. | Language, Arts | Worksheet and oral explanation. | Charts, counters, visual board. | Logical sequencing, patience. | Group toys and subtract stepwise to see remaining items. |
| 9. Multiplying and Dividing by 10, 100 | CG-8 – Understanding of place value shifts. CG-9 – Pattern recognition and number sense. |
Multiply and divide numbers by 10, 100, and observe digit patterns. | Interactive chart showing shifts of digits. | ICT, The World Around Us. | Worksheet and oral quiz. | Place value chart, projector. | Pattern reasoning, accuracy. | Apply to money, distance, or quantity estimation. |
| 10. Moral – Teamwork and Fairness in Sharing | CG-4 – Socio-emotional and ethical values. CG-5 – Cooperation and respect. |
Understand fairness in sharing and working in groups. | Collaborative activities involving sharing and equal contribution. | Moral Science, The World Around Us. | Reflection and peer feedback. | Chart paper, sharing cards. | Teamwork, empathy, responsibility. | Apply sharing and fairness in classroom activities. |
Suggested Activities (Short Explanations)
- Array Builder: Arrange bottle caps or dots in rows and columns to show multiplication.
- Sharing Basket: Divide fruits among students to demonstrate division.
- Magic Doubling Game: Double or halve numbers with cards or dice.
- Skip Counting Race: Hop on multiples on a number line.
- Story Problems: Create stories based on equal groups.
- Table Art: Color-code even and odd products in a 10×10 table.
- Grouping Challenge: Divide 24 objects equally and find different combinations.
- Multiples Hunt: Find common multiples through patterns on charts.
Lesson Plan — Play with Patterns (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Patterns and Sequences | CG-7 – Recognizing patterns and relationships. CG-8 – Logical reasoning through observation. |
Identify numerical and visual patterns through observation. | Number sequence games and arranging beads/blocks in patterns. | Art, Music. | Observation sheet and oral questioning. | Blocks, charts, number strips. | Observation, analytical thinking. | Identify and extend daily-life patterns (tiles, clothes, etc.). |
| 2. NIM Game and Logical Reasoning | CG-8 – Applying mathematical thinking in play. CG-9 – Logical deduction and prediction. |
Predict winning strategies using addition of 1 or 2 to reach a target number. | Hands-on play of NIM game in groups with varied target numbers. | ICT, Moral Science (fair play). | Observation and group reflection. | Game counters, board, digital version. | Critical thinking, problem-solving. | Use logical reasoning in simple strategy-based games at home. |
| 3. Patterns in Addition Chart | CG-7 – Observation of relationships in numbers. CG-9 – Comparing and analyzing results. |
Identify number relationships in addition table. | Explore addition grid patterns (odd-even, diagonal sums). | The World Around Us, Art (coloring patterns). | Worksheet on addition chart and reflection question. | Addition tables, colored markers. | Analytical reasoning, creativity. | Find patterns in multiplication or calendar dates. |
| 4. Reverse and Add Activity | CG-8 – Applying logical and arithmetic reasoning. CG-9 – Recognizing reversible operations. |
Understand how reversing digits and adding forms number patterns. | Hands-on number card activity and pattern chart making. | Language (story integration), ICT. | Written practice and group sharing. | Number cards, chart paper. | Logical reasoning, curiosity. | Try “reverse and add” trick with phone numbers or prices. |
| 5. Exploring Place Value Patterns | CG-7 – Base-10 understanding. CG-9 – Application of regrouping in patterns. |
Recognize carry-over patterns while adding 2-digit and 3-digit numbers. | Use Dienes blocks and column addition demonstration. | The World Around Us, Science (data interpretation). | Worksheet and oral questions. | Dienes blocks, base-10 charts. | Numerical reasoning, accuracy. | Relate addition patterns to bill or population data. |
| 6. Odd-Even Patterns and Prediction | CG-8 – Identifying rules and generalizations. CG-9 – Mathematical reasoning in number sets. |
Predict next terms in odd-even or alternating patterns. | Visual pattern charts and games using color codes. | Art, Music (rhythmic sequences). | Quiz and pattern worksheet. | Color pens, pattern boards. | Pattern recognition, reasoning. | Identify patterns in calendars or roll numbers. |
| 7. Word Problems Using Patterns | CG-9 – Applying numerical reasoning. CG-8 – Problem-solving through pattern relations. |
Solve real-life pattern-based problems (e.g., animals, vehicles, tickets). | Use data charts, maps, and collaborative solving. | The World Around Us, Geography. | Worksheet and group discussion. | India map, charts, flashcards. | Collaboration, reasoning. | Find repeating patterns in nature (stripes, leaves). |
| 8. Bank Notes and Combinations | CG-8 – Logical combination of values. CG-6 – Connecting maths with real-life finances. |
Form different combinations of currency to make the same total. | Mock bank deposit activity using note values. | - Moral Science. | Observation of accuracy and explanation. | Fake currency notes, deposit slips. | Financial literacy, logical reasoning. | Practice currency combinations during shopping play. |
| 9. Pattern Games and Logical Puzzles | CG-7 – Analytical and spatial reasoning. CG-9 – Logical problem-solving. |
Develop reasoning through filling and difference puzzles. | Use number grid puzzles and rule-based games. | ICT, The World Around Us. | Puzzle worksheet. | Printed puzzles, colored pencils. | Problem-solving, perseverance. | Play logic puzzles and Sudoku-type games. |
| 10. Moral – Perseverance and Analytical Thinking | CG-4 – Socio-emotional learning. CG-5 – Cooperation and responsibility. |
Show patience and cooperation in solving pattern-based challenges. | Collaborative pattern-creation and reflection activity. | Moral Science, The World Around Us. | Peer feedback and reflection chart. | Pattern boards, group materials. | Teamwork, focus, persistence. | Encourage daily pattern observation and recording. |
Suggested Activities (Short Explanations)
- NIM Game: Play in pairs to reach a target number by adding 1 or 2 each turn.
- Add & Reverse: Reverse digits of 2-digit numbers and find sums.
- Odd-Even Frame: Color even and odd numbers differently in addition chart.
- Currency Puzzle: Create same totals using different note combinations.
- Pattern Wall: Arrange tiles or drawings in repeating shapes.
- Animal Count: Use wildlife data to identify numerical relationships.
- Logic Squares: Fill 1–9 grid where neighbouring differences are odd/even.
- Magic Sum: Explore diagonal and column sums on small grids.
Lesson Plan — Fun with Symmetry (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Symmetry and Line of Reflection | CG-7 – Observation and visualization of spatial relationships. CG-8 – Logical reasoning and identification of patterns. |
Identify line of symmetry in objects, designs, and natural shapes. | Paper folding, ink-blot activity, and shape tracing on dot grid. | Art, The World Around Us. | Observation sheet and oral questioning. | Paper sheets, paints, mirror, dot grid. | Observation, creativity, reasoning. | Find symmetrical objects at home and mark their symmetry lines. |
| 2. Symmetry in Nature and Environment | CG-6 – Connecting mathematics with surroundings. CG-4 – Appreciating beauty in patterns and environment. |
Recognize symmetry in natural objects such as leaves, flowers, butterflies. | Nature walk and leaf-press art activity. | The World Around Us, Art, Moral Science. | Project file and class display. | Leaves, flowers, paper, glue. | Environmental awareness, observation. | Collect and classify symmetrical and asymmetrical leaves. |
| 3. Paper Folding and Cutting Designs | CG-7 – Spatial visualization and transformation. CG-8 – Logical deduction from shape changes. |
Predict patterns after folding and cutting paper in different ways. | Hands-on folding, predicting, and opening designs to check symmetry. | Art, Craft. | Observation and reflection questions. | Paper squares, scissors, glue. | Creativity, spatial reasoning. | Make greeting cards or rangoli with symmetrical paper designs. |
| 4. Mirror Symmetry and Reflections | CG-7 – Visualizing transformations. CG-9 – Logical reasoning using reflections. |
Understand how mirror reflection forms symmetrical images. | Mirror placement with letters and numbers (e.g., 0, 1, 3, 8). | ICT, Language (letter patterns). | Worksheet and activity evaluation. | Mirror, alphabet cards, number cards. | Visual reasoning, analysis. | Identify symmetrical letters on shop signs or vehicles (like “AMBULANCE”). |
| 5. Symmetry in Numbers and Letters | CG-9 – Logical pattern recognition. CG-7 – Observing relationships and orientation. |
Identify numbers and letters that remain same when mirrored or flipped. | Chart activity with mirror line and number/letter matching. | Language, ICT. | Worksheet quiz and peer correction. | Mirror, alphabet charts. | Reasoning, visual perception. | Create mirror-writing names for art display. |
| 6. Creating Symmetrical Patterns Using Tiles | CG-7 – Spatial geometry understanding. CG-8 – Logical design and repetition recognition. |
Identify and extend symmetrical tiling patterns. | Use shape cutouts to create tiles and discuss reflection and rotation. | Art, The World Around Us, Design. | Worksheet and visual observation. | Rangometry kit, colored tiles, paper shapes. | Creativity, reasoning, design sense. | Design floor or wall patterns with repeated symmetrical tiles. |
| 7. Nature Walk and Observation Project | CG-6 – Integrating mathematics with environment. CG-4 – Developing appreciation for natural beauty. |
Observe and record symmetrical forms found in nature. | Field visit, photography, and collage creation. | The World Around Us, Art, Moral Science. | Project submission and peer presentation. | Camera, leaves, flowers, glue. | Observation, creativity, environmental sensitivity. | Make leaf imprint art showing symmetry in plants. |
| 8. Symmetry in Shapes (2D Geometry) | CG-8 – Visualization and geometric understanding. CG-9 – Analytical reasoning. |
Identify lines of symmetry in basic 2D shapes. | Tracing, folding, and comparing identical halves of shapes. | Geometry, Art. | Folding test and observation checklist. | Dot grids, shape cutouts. | Analysis, observation. | Recognize symmetry in flags, logos, and road signs. |
| 9. Designing Patterns with Sliding, Flipping, and Rotating | CG-7 – Understanding transformations. CG-9 – Applying pattern reasoning. |
Create symmetrical designs by rotating or flipping tile shapes. | Demonstration using cut shapes and color change activity. | Art, ICT. | Worksheet and peer review. | Tiles, paper shapes, color pencils. | Creativity, pattern reasoning. | Design decorative patterns for class walls or notebooks. |
| 10. Moral – Appreciation, Creativity, and Environmental Harmony | CG-4 – Socio-emotional and aesthetic development. CG-5 – Cooperation and appreciation of beauty. |
Develop a sense of appreciation for beauty and balance in nature and art. | Group reflection on “Symmetry in Our World.” | Moral Science, The World Around Us. | Oral reflection and art portfolio. | Reflection cards, charts. | Empathy, aesthetic sense, cooperation. | Practice balance and order in art, behavior, and surroundings. |
Suggested Activities (Short Explanations)
- Ink Design: Fold and print color to make symmetrical art.
- Mirror Play: Find symmetry in numbers and letters using a mirror.
- Paper Cutting: Fold and cut shapes to create symmetrical holes.
- Tile Patterning: Create tiling patterns using square and triangle cutouts.
- Nature Art: Collect leaves and make symmetrical collages.
- Ambulance Mirror Text: Discuss why text is written in reverse.
- Shape Sorting: Identify symmetrical and asymmetrical 2D shapes.
- Catty Wall Craft: Make a pattern wall using sliding and fitting shapes.
Lesson Plan — Ticking Clocks and Turning Calendar (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Leap Year and Calendar Months | CG-7 – Logical reasoning with number patterns. CG-8 – Observation and comparison in daily life contexts. |
Recognize leap years and identify months with 30, 31, and 28/29 days. | Use calendars from different years to count days in months. | The World Around Us, History (dates), ICT. | Oral and written exercises on year and month patterns. | Wall calendar, digital calendar, charts. | Observation, analytical thinking. | Find birthdays or events that fall on leap years. |
| 2. Reading and Writing Dates | CG-6 – Connecting mathematics with social life. CG-9 – Understanding notation and formats. |
Write and read dates using DD/MM/YYYY format correctly. | Demonstration and practice using real examples and digital forms. | Language (English grammar), The World Around Us. | Worksheet on date reading and writing. | Digital calendar, chart, notebook. | Numeracy, accuracy, practical awareness. | Read expiry and manufacturing dates on food packets. |
| 3. Understanding Days, Weeks, and Months | CG-7 – Observational sequencing and pattern recognition. CG-8 – Logical connection between time intervals. |
Identify sequence of days and months; calculate duration between dates. | Games like “Day Before–After–Tomorrow” and calendar puzzles. | Language, Art. | Oral questions and written calendar tasks. | Classroom calendar, day cards. | Sequencing, reasoning. | Use wall calendar to plan family events or holidays. |
| 4. Reading Clocks — Analog and Digital | CG-7 – Observation and interpretation of data. CG-8 – Logical conversion between representations. |
Read and record time from both analog and digital clocks. | Demonstration using classroom clock and digital screen. | ICT, Science. | Practical demonstration and quiz. | Analog clock, projector, digital clock image. | Visual reasoning, accuracy. | Relate school timetable to AM and PM. |
| 5. Understanding AM, PM, and 24-hour Time | CG-8 – Understanding data representation. CG-9 – Applying logic to real-life routines. |
Differentiate between AM, PM and convert to 24-hour format. | Show examples from transport timetables and mobile devices. | The World Around Us, ICT, Language. | Conversion exercises and reflection activity. | Train timetable, mobile clock, chart. | Analytical reasoning, awareness. | Understand and explain school and TV schedules using AM/PM. |
| 6. Measuring Time Duration | CG-7 – Applying mathematical reasoning to duration. CG-9 – Relating operations to daily events. |
Calculate duration between start and end time. | Story problems on time difference and stopwatch demonstration. | Science, Physical Education. | Worksheet and oral tasks. | Stopwatch, analog/digital clocks. | Reasoning, problem-solving. | Estimate duration of cooking or travel at home. |
| 7. Understanding Hour, Minute, and Second | CG-7 – Quantitative measurement understanding. CG-9 – Logical comparison of units. |
Relate 1 hour = 60 minutes = 3600 seconds. | Hands-on clock labeling and time race activity. | Science, The World Around Us. | Quiz and observation. | Clock model, stopwatch. | Analytical thinking, estimation. | Use seconds and minutes to time classroom tasks. |
| 8. Conversion Between Time Formats | CG-9 – Logical deduction and representation. CG-8 – Analytical conversion of data. |
Convert between AM/PM and 24-hour format accurately. | Chart-based practice and train schedule examples. | ICT, Language. | Conversion exercises and peer checking. | Charts, worksheets, projector. | Logical reasoning, numerical literacy. | Read digital time in devices and convert to 12-hour format. |
| 9. Use of Calendar in Daily Life | CG-6 – Application of mathematics in real life. CG-5 – Awareness and responsibility in planning. |
Use calendar to plan, record, and predict events. | Calendar-based puzzles and scheduling activities. | The World Around Us, Moral Science. | Written exercises and observation. | Wall calendar, flashcards, event charts. | Planning, organization, awareness. | Maintain a personal monthly planner or birthday calendar. |
| 10. Moral – Punctuality and Time Management | CG-4 – Socio-emotional development and discipline. CG-5 – Cooperation and responsibility. |
Understand importance of time, punctuality, and discipline. | Group reflection and time-log diary activity. | Moral Science, The World Around Us. | Peer feedback and discussion. | Clock chart, time diary. | Self-discipline, responsibility. | Follow daily timetable at home and school punctually. |
Suggested Activities (Short Explanations)
- Leap Year Hunt: Mark leap years on a wall calendar and discuss February days.
- Digital Time Race: Convert times between 12-hour and 24-hour format.
- Calendar Challenge: Guess the weekday of given dates.
- AM/PM Sorting: Categorize daily activities under AM or PM.
- Elapsed Time Game: Calculate durations using real-life examples (journeys, cooking).
- Clock Craft: Make a paper clock with movable hands.
- Festival Timeline: Arrange festivals in calendar order by month.
- Time Diary: Maintain a personal schedule for one day.
Lesson Plan — The Transport Museum (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Multiplying Numbers by 10, 100, and 1000 | CG-7 – Logical understanding of place value. CG-9 – Application of number operations. |
Multiply numbers by 10, 100, and 1000 using base-10 reasoning. | Demonstration with place value charts and regrouping. | Science (units), The World Around Us. | Oral and written computation exercises. | Place value mat, chart paper, Dienes blocks. | Reasoning, estimation, number sense. | Apply in price calculation and distance measurement. |
| 2. Multiplying by Splitting into Tens and Hundreds | CG-8 – Logical reasoning and analysis of number structure. CG-9 – Use of distributive property. |
Break multiplication into tens and ones and combine results. | Demonstration through area model and grids. | Art, The World Around Us. | Worksheet and oral questioning. | Grid chart, number cards. | Visualization, logical reasoning. | Use for quick mental multiplication. |
| 3. Times Tables and Pattern Recognition (×10, ×100) | CG-7 – Recognizing patterns in number sequences. CG-8 – Logical observation and generalization. |
Extend multiplication facts using zero pattern rule. | Pattern-building on chart and skip counting games. | Language, Music. | Chart quiz and skip-counting tests. | Multiplication charts, colored markers. | Pattern recognition, fluency. | Identify ×10 or ×100 patterns in price tags or currency. |
| 4. Understanding Remainder in Division | CG-9 – Logical reasoning through inverse operations. CG-7 – Practical interpretation of division results. |
Recognize remainder in division as leftover after grouping. | Story-based division using real-life transport examples. | The World Around Us, Language. | Oral and written problem-solving tasks. | Real objects (students, buses), counters. | Analytical thinking, application. | Understand leftover passengers or items in sharing context. |
| 5. Multiplying Two-Digit and Three-Digit Numbers | CG-8 – Analytical understanding of multi-digit operations. CG-9 – Application to real contexts. |
Multiply large numbers using the area or column method. | Hands-on chart with split values for step-by-step solution. | ICT, The World Around Us. | Worksheet practice and observation. | Chart, base-10 blocks, number strips. | Accuracy, problem-solving. | Find ticket totals, distance or cost for multiple vehicles. |
| 6. Division of Large Numbers with and without Remainders | CG-9 – Logical problem-solving and quotient understanding. CG-8 – Sequential reasoning. |
Perform long division and interpret quotient and remainder. | Demonstration using grouping and repeated subtraction. | The World Around Us, ICT. | Worksheet and oral reasoning. | Base-10 blocks, counters. | Reasoning, perseverance. | Divide total people into bus or coach capacity. |
| 7. Multiplying Multiples of 10 and 100 | CG-7 – Pattern-based number relationships. CG-9 – Logical extension of multiplication facts. |
Multiply 20×40, 30×100, etc., by counting zeros logically. | Play “Zero Hunt” and mental multiplication exercises. | The World Around Us, ICT. | Quick oral drills and mental math worksheets. | Charts, flashcards. | Analytical reasoning, number fluency. | Estimate large-scale quantities in transport or population data. |
| 8. Application of Multiplication and Division in Real Life | CG-6 – Connecting mathematics with real contexts. CG-9 – Logical reasoning through data interpretation. |
Apply arithmetic operations to solve transport-based word problems. | Transport museum data interpretation and story sums. | The World Around Us, Geography, ICT. | Worksheet and discussion-based assessment. | Charts, vehicle models, videos. | Decision-making, logical analysis. | Calculate fare, distance, or passenger capacity using data. |
| 9. Multiplication of Hundreds and Thousands (Times–100, Times–1000) | CG-8 – Place value understanding. CG-9 – Logical reasoning for scaling up numbers. |
Understand and apply multiplication of big groups such as 100s and 1000s. | Demonstration with money and ticket-based examples. | - ICT. | Worksheet with observation questions. | Money chart, abacus. | Reasoning, accuracy, real-world thinking. | Use ×100 or ×1000 to calculate transport loads or population size. |
| 10. Moral – Precision, Cooperation, and Responsibility | CG-4 – Ethical and emotional development. CG-5 – Collaboration and teamwork. |
Understand the importance of accuracy and shared effort in work. | Group activities involving train or bus arrangements. | Moral Science, The World Around Us. | Observation and reflection. | Team charts, project worksheets. | Responsibility, collaboration, diligence. | Apply teamwork in organizing school trips or data projects. |
Suggested Activities (Short Explanations)
- Transport Math: Count passengers and seats to find total capacity.
- Train Table Challenge: Multiply coach numbers and seat data.
- Vande Bharat Calculation: Solve 64 × 152 to find total travellers.
- Bus Division: Divide students among buses and find remainder.
- Times-10 Game: Multiply given numbers quickly by 10s and 100s.
- Multiplication Grid: Fill blanks to match given product patterns.
- Division Match: Use long division cards to identify remainders.
- Museum Math Hunt: Find real-life objects that show multiplication.
Lesson Plan — Smart Charts (Class 4 Mathematics)
| Concept | Curricular Goals / Competencies (NCF 2023) | Learning Outcomes | Pedagogical Strategies | Integration with Other Subjects / Areas | Assessment | Resources (Digital / Physical) | 21st Century Skills / Values | Extension / Real-Life Application |
|---|---|---|---|---|---|---|---|---|
| 1. Understanding Data and its Collection | CG-7 – Observing and recording information systematically. CG-8 – Logical organization of real-life data. |
Identify and collect data using appropriate questions. | Class discussion on survey questions like “Favourite Subject”. | The World Around Us, Language. | Observation and oral questioning. | Survey sheets, notebook, chart paper. | Inquiry, communication, collaboration. | Collect and record favourite fruit or game choices at home. |
| 2. Organizing Data in Tables | CG-8 – Classifying and grouping data logically. CG-9 – Recognizing patterns and relationships. |
Represent collected data in tabular form using tallies or marks. | Demonstration using classroom survey results. | Language, ICT. | Worksheet with data table practice. | Charts, markers, sample data. | Organization, logical reasoning. | Make a family data chart (e.g., pets, hobbies, etc.). |
| 3. Understanding and Creating Pictographs | CG-7 – Connecting symbols with meaning. CG-9 – Visualization and representation of data. |
Interpret pictographs and make simple pictorial data representations. | Use fruit or gola color data to create pictographs with pictures or symbols. | Art, The World Around Us. | Worksheet on pictograph reading. | Pictures, symbol charts, stickers. | Visualization, creativity. | Prepare a pictograph for daily meals eaten at home. |
| 4. Reading and Interpreting Data | CG-8 – Analytical reasoning from given data. CG-9 – Drawing conclusions from patterns. |
Answer questions based on tabular and pictorial data. | Interactive questioning using charted data on board. | Language, The World Around Us. | Oral question-answer and peer discussion. | Charts, smartboard slides. | Analytical reasoning, interpretation. | Predict outcomes based on collected class data. |
| 5. Comparing and Analysing Data | CG-7 – Logical comparison and pattern identification. CG-8 – Application to real-life observations. |
Compare categories (e.g., most liked and least liked subjects). | Hands-on sorting and color-coding bar graphs. | Art, ICT. | Worksheet and oral assessment. | Graph paper, color pencils. | Reasoning, visual interpretation. | Discuss most common foods or activities at home. |
| 6. Using Graphs and Charts | CG-8 – Connecting visual and numerical information. CG-9 – Drawing inferences from graphical data. |
Draw and read simple bar graphs and pictographs. | Use class data to construct bar charts on board. | ICT, Art. | Worksheet and graph interpretation quiz. | Smartboard, graph paper, markers. | Data interpretation, creativity. | Interpret weather or attendance data charts. |
| 7. Data Representation from Real-life Contexts | CG-6 – Applying maths in meaningful life contexts. CG-9 – Reasoning through data analysis. |
Record and represent data about games, colors, or items sold. | Projects using data from school events like “Bal Mela”. | The World Around Us, - ICT. | Project assessment and presentation. | Collected data sheets, charts. | Observation, collaboration. | Record and present data on favorite school snacks. |
| 8. Drawing Conclusions from Data | CG-8 – Understanding trends and generalizations. CG-9 – Analytical thinking and explanation. |
Identify patterns and reason out most and least common choices. | Group analysis and peer discussion. | Language, Moral Science. | Group presentation and discussion notes. | Charts, flashcards. | Analytical reasoning, communication. | Use charts to justify claims in school surveys. |
| 9. Organizing and Presenting Data Digitally | CG-9 – Application of ICT in mathematics learning. CG-7 – Logical sequencing of digital data. |
Use simple digital tools (spreadsheets/charts) to display data. | ICT integration — create pictographs or bar graphs online. | ICT, The World Around Us. | Digital project or class display. | Computer/laptop, projector. | ICT literacy, visualization. | Create a digital chart for class attendance or lunch menu. |
| 10. Moral – Collaboration and Fair Representation | CG-4 – Socio-emotional awareness. CG-5 – Teamwork and fairness. |
Recognize importance of honesty and teamwork in data collection. | Reflection on fairness in surveys and group tasks. | Moral Science, The World Around Us. | Peer feedback and reflection notes. | Reflection sheet, discussion cards. | Integrity, cooperation, critical thinking. | Apply fair data collection while doing surveys. |
Suggested Activities (Short Explanations)
- Survey Time: Ask classmates about their favorite subjects and tabulate data.
- Ice Gola Graph: Record and chart gola colors eaten by classmates.
- Game Count: Make a tally of students who play cricket, chess, both, or neither.
- Pictograph Parade: Represent mela food sales with picture symbols.
- Smart Bar Chart: Use graph paper to show class attendance or daily fruits eaten.
- Calendar Data: Mark school events on monthly charts.
- Digital Graph Maker: Create bar graphs using Google Sheets.
- My Family Survey: Record TV time or favorite dishes of family members.
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