šÆ Learning Objectives -
Grade 6
š¬ English & Communication
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Write a proper email ā with a clear subject line, polite greeting, and closing.
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Write a formal letter or application the way schools and offices expect it.
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Give a 2-minute spoken explanation of any topic they studied in their own words.
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Write a book or film review of at least 150 words.
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Identify the rule of a number sequence and write the next three terms.
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Construct dot-grid layouts to visually represent triangular, square, and cube number sequences.
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Verify that the sum of the first n odd numbers is equal to nĀ² using dot partitioning.
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Verify that the sum of any two consecutive triangular numbers is a square number.
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Verify that the sum of consecutive powers of 2 starting at 1 equals the next power minus 1.
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Calculate the number of edges in a complete graph given the number of vertices.
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Calculate the number of line segments at each stage of a fractal (like the Koch snowflake).
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Identify points, line segments, lines, rays, and angles from a geometric drawing.
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Classify angles as acute, right (90Ā°), obtuse, straight (180Ā°), or reflex (180Ā°-360Ā°) based on their degree measure.
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Verify that the sum of the three interior angles of a triangle is always 180Ā°.
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Construct a paper protractor by folding a circular sheet of paper to mark divisions.
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Measure angles using a protractor by aligning the vertex and base line correctly.
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Calculate the angle between adjacent spokes on a symmetric wheel (like the Ashoka Chakra).
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Calculate the missing angle in a linear pair when one angle is given.
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Identify supercells (cells strictly greater than their neighbors) in rows and grids.
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Calculate the number of d-digit whole numbers using a place-value formula.
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Solve digit sum puzzles by finding the smallest and largest integers with a given sum.
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Verify Kaprekar's routine iterations for 3-digit and 4-digit numbers to reach their constants (495 and 6174).
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Trace Collatz chains to show that the numbers always reduce to 1.
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Calculate calendar year repetitions based on leap year occurrences.
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Formulate winning strategies for modular addition games (like '21', '99', or '22').
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Organize raw data into a frequency distribution table using tally marks.
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Construct scaled pictographs using keys where one symbol represents multiple items.
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Draw vertical column graphs and horizontal bar graphs using appropriate scales.
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Verify that the spaces between adjacent bars on a bar graph are equal and uniform.
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Calculate weighted sums from frequency tables (like total wickets from a wickets-by-matches table).
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Identify how stylized or three-dimensional shapes in infographics can mislead viewers.
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Classify whole numbers greater than 1 as prime, composite, or perfect numbers.
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Identify prime and composite numbers up to 100 using the Sieve of Eratosthenes.
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Identify twin primes and co-prime pairs from a list of numbers.
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Verify that a thread wound around N pegs with gap G touches all pegs if and only if N and G are co-prime.
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Determine the prime factorization of a number using factor trees.
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Apply divisibility rules for 2, 4, 5, 8, and 10 to check large numbers.
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Determine if a year is a leap year using divisibility by 4 and 100/400 rules.
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Calculate the perimeter of rectangles, squares, and regular polygons using formulas.
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Calculate the area of rectangles and squares using multiplication formulas.
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Verify that cutting a square in half yields two rectangles whose combined perimeter is 1.5 times the square's perimeter.
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Determine the area of a triangle as exactly half the area of a bounding rectangle.
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Estimate the area of irregular shapes by counting grid squares on graph paper.
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Draw multiple rectangles that have the same area but different perimeters, or vice versa.
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Solve the dimensions of a room or plot given the area and one side length.
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Differentiate between proper fractions, improper fractions, and mixed numbers.
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Convert improper fractions to mixed numbers and vice versa.
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Locate and compare fractions on a number line.
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Identify equivalent fractions using visual models (like a fraction wall).
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Simplify fractions to their lowest terms by dividing by their HCF.
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Add and subtract fractions with different denominators by converting them to a common denominator.
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Solve Egyptian fraction puzzles by representing a fraction as the sum of distinct unit fractions.
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Construct circles of a given radius using a ruler and compass.
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Construct squares and rectangles of given dimensions using a ruler and compass.
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Verify that the diagonals of a rectangle are equal in length.
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Verify that the diagonals of a square are equal, perpendicular, and bisect corner angles.
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Construct a rectangle given one side length and diagonal length.
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Construct a rhombus of a given side length and non-right angles.
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Construct composite shapes (like a house with a triangular roof and curved arch ceiling) using a compass.
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Identify lines of symmetry in 2D shapes and regular polygons.
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Classify 2D shapes based on their lines of symmetry and order of rotational symmetry.
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Verify that regular polygons with n sides have n lines of symmetry and rotational order of n.
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Calculate the angles of rotational symmetry for a figure using its order of symmetry.
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Verify that a paper windmill has rotational symmetry but no lines of reflection symmetry.
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Color grid designs to create patterns with specified reflectional or rotational symmetries.
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Represent elevator movements, bank balances, and elevations using positive and negative integers.
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Compare and order integers on a horizontal number line.
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Identify the additive inverse of any given integer.
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Perform integer addition and subtraction using two-color tokens (zero pairs).
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Perform integer calculations on an unmarked number line using direction arrows.
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Calculate calendar year transitions between BCE and CE dates (accounting for no year 0).
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Verify Brahmagupta's rules of signs for adding and subtracting integers.
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Explain science as a continuous search for patterns and explanations.
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Sequence the five steps of the scientific method (observing, questioning, hypothesizing, testing, analyzing).
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Apply the scientific method to diagnose why a pen stops writing or why a tire goes flat.
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Design a simple experiment to test a hypothesis about a daily life observation.
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Classify plants into herbs, shrubs, and trees based on their stems and height.
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Differentiate between reticulate and parallel leaf venation.
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Differentiate between taproot and fibrous root systems.
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Verify that plants with monocot seeds have parallel venation and fibrous roots, while dicot seeds have reticulate venation and taproots.
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Explain how the conical shape of deodar trees and the two humps of Ladakh camels help them survive in their habitats.
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Explain how streamlined bodies and gills help fish survive in water.
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Describe the community-led Save Silent Valley movement and its role in forest conservation.
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Demonstrate the presence of starch in potato slices using the iodine test.
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Demonstrate the presence of fat in peanuts using the paper translucency test.
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Demonstrate the presence of protein in beans using the copper sulfate and caustic soda test.
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Identify the functions and dietary sources of carbohydrates, fats, proteins, vitamins, and minerals.
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Match nutritional deficiency diseases (night blindness, scurvy, rickets, goitre, anaemia) to their missing vitamins or minerals.
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Propose a balanced diet menu using local nutri-cereals (millets).
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Calculate the food miles of a standard meal to evaluate the benefits of local sourcing.
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Differentiate between magnetic (iron, nickel, cobalt) and non-magnetic materials.
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Verify that a magnet's strength is strongest at its North and South poles using iron filings.
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Verify that magnetic poles always exist in pairs by observing broken magnets.
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Demonstrate that freely suspended magnets align in the Earth's North-South direction.
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Construct a temporary magnet by stroking an iron needle with a bar magnet in a single direction.
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Verify the law of magnetic poles (like poles repel, unlike poles attract).
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Propose three rules for storing and caring for magnets to prevent demagnetization.
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Differentiate between non-standard units (handspan, strides) and standard SI units.
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Convert measurements between kilometres, metres, centimetres, and millimetres.
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Measure the length of an object using a ruler while avoiding parallax errors.
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Calculate the length of an object measured with a broken or worn-out ruler.
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Measure the length of a curved boundary using a thread and ruler.
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Differentiate between linear, circular, oscillatory, and periodic motion.
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Determine if an object is at rest or in motion relative to a chosen reference point.
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Classify materials based on their lustre, hardness, and solubility in water.
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Classify materials as transparent, translucent, or opaque.
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Verify that air occupies space and has mass.
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Formulate an oral rehydration solution (ORS) using salt, sugar, and water.
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Convert volume measurements between litres, millilitres, and cubic metres.
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Match common objects to the materials they are made of (like clay, metal, wood, or plastic).
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Verify that the human sense of touch is relative and unreliable for measuring temperature.
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Compare the design and usage of clinical and laboratory thermometers.
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Convert temperatures between Celsius, Fahrenheit, and Kelvin scales.
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Verify that the temperature of water remains constant during boiling (100Ā°C) and ice melting (0Ā°C).
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Calculate the least count of a laboratory thermometer using scale division values.
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Demonstrate correct alignment and eye positioning to read thermometer scales without parallax errors.
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Compare the shape and volume properties of solid ice, liquid water, and gaseous water vapour.
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Identify the factors that increase the rate of evaporation (surface area, temperature, wind speed, and low humidity).
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Demonstrate that evaporation causes a cooling effect using clay pot models.
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Verify that condensation droplets on a cold glass surface originate from water vapour in the surrounding air.
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Construct a model cloud in a bottle using water pressure and smoke particles as condensation nuclei.
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Diagram the complete water cycle showing evaporation, transpiration, condensation, and precipitation.
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Identify the appropriate separation method (handpicking, winnowing, sieving, magnetic separation) for solid mixtures.
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Describe the processes of sedimentation, decantation, and filtration to separate solid-liquid mixtures.
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Construct a simple water filter using cotton, charcoal, sand, and pebbles.
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Demonstrate how to obtain salt from saline water using evaporation.
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Formulate a multi-step plan to separate a mixture of iron nails, sand, stones, and salt.
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Demonstrate how churning separates butter from curd.
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Differentiate between living organisms and non-living objects using the eight characteristics of life.
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Demonstrate that roots show positive geotropism (grow downwards) and shoots show positive phototropism (grow towards light).
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Verify the essential conditions required for seed germination (water and air).
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Diagram the multi-stage life cycles of a bean plant, a mosquito, and a frog.
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Explain how oil on water disrupts the mosquito life cycle by suffocating larvae and pupae.
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Identify how plants (like Mimosa) respond to touch and light stimuli.
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Differentiate between renewable (solar, wind, forests, water) and non-renewable (fossil fuels, minerals) natural resources.
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Identify the gaseous composition of clean, dry air (78% nitrogen, 21% oxygen, 1% other gases).
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Explain the role of forests in preventing soil erosion and enriching topsoil with humus.
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Differentiate between natural resources and human-made resources.
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Identify the environmental impacts of burning fossil fuels and propose cleaner alternatives (CNG, solar, wind).
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Describe the history and impact of the Chipko movement in forest conservation.
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Locate the Pole Star in the night sky using the pointer stars of the Ursa Major constellation.
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Identify the order of the eight planets in our Solar System starting from the Sun.
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Compare the characteristics of stars and planets (such as self-luminosity, distance, and twinkling).
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Explain why Venus is the hottest planet in the Solar System despite being farther from the Sun than Mercury.
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Describe the achievements of India's Chandrayaan-3 lunar landing mission.
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Identify the Milky Way Galaxy and describe the purpose of the Hanle Dark Sky Reserve in Ladakh.
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Handle a disagreement with a friend by listening to both sides and finding a solution.
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Collaborate in a 5-to-1 squad system to solve a problem and present it.
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Accept constructive feedback from a classmate or teacher politely.
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State a polite refusal (saying "no") when asked to do something wrong.
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Create a simple table in Excel or Google Sheets and use basic formulas like SUM and AVERAGE.
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Format a document in Google Docs or MS Word to look neat and professional.
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Create a slideshow with 5 slides on any topic.
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Use AI search and chat tools to clarify school topics and find examples.
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Read a Malayalam newspaper article and identify key who/what/when details.
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Write a formal request or leave application in correct Malayalam.
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Give a 2-minute oral description of a local festival or event in Malayalam.
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Write simple emails or message drafts in Hindi.
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Read and summarize a 100-word Hindi passage.
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Participate in brief everyday conversations in Hindi.