1 KENDRIYA VIDYALAYA SANGATHAN, PATNA REGION SPLIT UP SYLLABUS FOR CLASS-I (SESSION: 2014-15) SUBJECT:-MATHEMATICS CYCLE -1 CYCLE -2 CYCLE -3 CYCLE -4 CYCLE -5 CYCLE -6 CYCLE -7 CYCLE -8 MONTHS APRIL MAY/JUNE JULY JULY AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH UNIT/LESSON SCHOOL READINESS PROGRAMME LESSON 1. SHAPES AND SPACE LESSON 2. NUMBERS FROM ONE TO NINE LESSON 3. ADDITION LESSON 4. SUBTRACTION LESSON 5. LESSON 6. NUMBERS FROM TEN TO TWENTY TIME LESSON 7. MEASUREMENT LESSON 8. LESSON 9. NUMBERS FROM TWENTY ONE TO FIFTY DATA HANDLING LESSON 10. PATTERNS LESSON 11. NUMBERS FROM FIFTY ONE TO HUNDRED LESSON 12. MONEY LESSON 13. HOW MANY REVISION 2 KENDRIYA VIDYALAYA SANGATHAN, PATNA REGION SPLIT UP SYLLABUS FOR CLASS-I (SESSION: 2014-15) SUBJECT:-MATHS MONTH/CY TOPIC/LESSON COMPETENCY/ CLE CONCEPT AREA April School To get Cycle-1 Readiness acquainted with Programme the school surroundings, campus…so on May/June Cycle-1 July Cycle-1 Lesson-1 Shapes and Space 1. Basic Concept 2. Ability in computation 3. problem solving ability Lesson-2 Number from One to Nine 1.Forming number correctly 2. Basic Concept SUGGESTED ACTIVITIES EXPECTED LEARNING OUTCOMES TLM/RESOURCES SKILLS/VALUES To enable the child to be ready for reading, listening, speaking and writing Add new words in the vocabulary of child mind like inside outside, top bottom, on-under, nearest farthest, above- below and also develop its use practically. 1. Identify and separate the 1. Classify and describe smaller the collection of objects on the and bigger objects from the basis of shapes Given groups of objects. 2. Develops and uses the 2. Create more situations where vocabulary of spatial these words are used concept of relationships like inside bigger-smaller, biggest-smallest, Outside, Top-bottom, on-under, top-bottom, near-farther, farther above –below, near-far, beforeetc. after etc. 3. Children are allowed to discuss 3. Visually recognize objects of With each other. Play the game different shapes Inside-outside. 4. Observes and describes the 4. Short shapes by joining with way similar shapes shapes, affects movements rolling and sliding 1. Collect sticks, stones, leaves and 1. Recognize and speak the keep them in front and count numbers 1-9. Loudly. 2. Counting 1-9 in order C.D. of the stories. Audio visual Aid (Projector/Tape recorder can be used ) Vocabulary Comparison. Differentiation confidence to express himself Flash card, charts, Kit of different shapes Clay Vocabulary Comparison Visual recognition Classification Differentiation Appreciation of symmetry C.D. of Rhymes cassettes, Counting ability confidence to present a 1. Number Rhymes 2. Recognition of numbers 3. Shapes 4. Big and small 5. Colouring 6. Recognition of tall and short objects 3 3. Ability in computation 4. problem solving ability July Cycle-1 Lesson-3 Addition 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability August Cycle-2 Lesson-4 Subtraction 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 2. Rhymes based on number e.g. 1,2 buckle my shoe 3. Match the picture with the number 4. Count and write 5. Dominoes cards with holes and tell the number 6. Draw pictures with numbers 1-9 e.g. using 2 draw a duck 1. Collect pebbles from playground and distribute them in two groups and ask them to count the pebbles. 2. Distribute pebbles equally to ten students and introduce multiplication as repeated addition 3. Use the surrounding objects to bring out how many are altogether? 4. Verbal problems involving addition done mentally 1. Rhymes 5 green bottles Rhymes 5 little ducks 2. Collects things from the surroundings leaves, pebbles, seeds etc. take out from the collection a few and bring out taken away/bursting the balloons 3. Find the partners using colours including addition and subtraction problems 4. Introduce backward counting using subtraction 3. Count number of objects in a given picture 4. Know to write the number 1-9 rhyme or a story. Interest towards subject Concentration appreciation 1. Add using classroom objects e.g. pencils, books etc. as putting together as one more 2. Enable to count and add orally. 3. Comprehend the concept of zero that help children to understand that zero means nothing and when zero is added in any number we get the same number 4. Solve simple word problems involving addition Magic board, Flash Cards Objects like chalks, pencils, rubber, sketch pens, boxes , ribbons, balloons, etc Estimation mental ability Accuracy Logical thinking 1. Subtract using real objects and pictures 2. Subtract mentally by backward counting 3. Compare and tell how many, more than. 4. Understand when we subtract zero from any number we will get the same number 5. Able to write backward counting from 9-0 6. Solve word problems Mind puzzling (Flash Cards) Rhyme's Cassettes and C.D.'s Magic board surrounding objects e.g. pencils, pens, rubber, sketch pens, boxes, leaves, tones, beans, pebbles etc. Speed accuracy Problem solving Estimation. Mental ability Logical thinking 4 September Cycle-3 Lesson- 5 Numbers from Ten to Twenty 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 1. Bringing out the place values of digits by putting them in bundles of 10s and 1s e.g. 1 ten +2 ones = 12 2. Write missing numbers 3. What comes before e.g. ___ 18 1. Write the numeral 11-19 2. Write the numerals 10-20 3. Write numerals from 10-20 in ascending order and descending order 4. Ordering number up to 20 5. Understand to make a group of 10 and ones 6. Write backward counting and forward counting PPT presentation Abacus, Match sticks, Bindis , Spoons, Pencil, colours 1. Rhymes on daily routine prepare a chart of activities that you do in the morning 2. Counting time taken from one place to another 1. Concept of a.m. and p.m. 2. Abel to distinguish between events occurring in time using terms earlier tater 3. Explain the sequence of daily activities with respect of time Clock Value of time Punctuality Discipline. 1. Time duration of school 2. Measuring of length of pencil, table, carpet etc. by hand span or foot length 3. Ordering of objects of different length e.g. length of pencil, lunch bag, notebook and school bag 1. Estimates length of the table and black board and verifies using hand span 2. Arrange the objects in ascending or descending order according to their length 3. Differentiate between long, tall, short, high-low, near-far, longer-taller, shorter, thinner thicker 4. Compare heavy-light objects by direct handling Class room material – pencils , pens, Books, chalk, Flash cards Vocabulary Estimation Reasoning Verification 4. What comes between 17 __19 5. Circle the smallest number e.g. 17, 14, 19 Lesson-6 Time October Cycle-4 Lesson-7 Measurement 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability Creativity Logical thinking. 5 November Cycle-5 December Cycle -6 Lesson-8 Number from 21-50 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 1. Use of abacus to tell the place value 2. Make groups of 2 tens, 3 tens and 4 tens etc. 3. Write the missing numerals in the blanks 4. Write the numerals in ascending order Put the sign < > or = 1. Write numbers from 21-50 2. Write number name from 2150 3. Write numbers in ascending and descending order 4. write numerals by counting by twos, fours etc. from 21-50 5. Able to write place value of ones and tens 6. Able to do comparison of two digits number Recitation of numbers with use of Flash Cards. Abacus. Match sticks, Match box Identification of place value Recitation of numbers Writing skills Lesson-9 Data handling 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 1. Colored pencils given and children having the same colour of pencils will be grouped and tabulated 2. Picture shown, shapes counted counting the alphabets in their own name. 1. Classify the objects of the same type and to find out which objects occurs the most 2. Express given information using picture symbols Toys, shapes, Alphabets Magnetic Board. Pictorial representation Classification Creativity 1. Design the pattern using impressions with thumb, impressions with leaf etc. 2. Study the given pattern to find the missing one 1. Distinguish one pattern from another 2. Generalize and predict the pattern Vegetables like Lady finger, potato, carrot etc. Fruits colour (Water) saree, duppatta Wooden blocks coloured paper. Improve mathematical thinking and problem solving Prediction Creativity Interest towards the subject Lesson-10 Pattern 6 January Cycle- 7 Lesson-11 Numbers 51100 February Cycle-8 Lesson-12 Money Lesson-13 How many? March Revision 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving Ability 1. Write the numbers in correct sequence 2. Circle the larger/smaller number 3. Write the numbers in ascending or descending order 4. Match the numerals with number name 1. To recite till 100 2. Write the numerals in tens and ones up to 99 3. Write number name till 100 4. Write in increasing or decreasing 5. Identify digit at ones place & tens place for a given number Recitation of numbers with use of Flash Cards. Abacus. Match sticks, Match box Mental ability Interest towards the subject through number game 1. Racing coins, specimens of coins and notes of different denomination 2. Sorting of coins and notes of different denominations 3. Dramatization of shopping mall and finding the cost written on the items 4. Find out the total value of collections through pictures 1. Learn importance of money 2. Know about the price tag of an object 3. Know the denominations of coins and notes 4. Find the total value of collection 5. List the things that we can buy using money 6. List the things that we cannot buy using money Coins, Money Notes, CD's Class objects, Empty packs of toothpaste and wrapper of soap Value of money Confidence to do Shopping 1.Foming number correctly 2. Basic Concept 3. Ability in computation 4. problem solving ability ………………… 1. Encircle the biggest number 2. Write number names 3. Write the number of given object 4. Solve word problems 1. Find the cost of many when cost of one is known 2. Write the numbers in figures 3. Creative writing based on the picture Objects and things e.g. pencils, pens, beads, fruits ,CD's Sticks Develops vocabulary Creative thinking Creative writing …………………………. …………………………… …………………………. ……………. 7 COURSE STRUCTURE PRESCRIBED BY NCERT FOR CLASS I Geometry (10 hrs.) SHAPES & SPATIAL UNDERSTANDING • Develops and uses vocabulary of spatial relationship (Top, Bottom, On, Under, Inside, Outside, Above, Below, Near, Far, Before, After) SOLIDS AROUND US • Collects objects from the surroundings having different sizes and shapes like pebbles, boxes, balls, cones, pipes etc. • Sorts, Classifies and describes the objects on the basis of shapes, and other observable properties. • Observes and describes the way shapes affect movements like rolling and sliding. • Sorts 2 - D shapes such as flat objects made of card etc. Numbers (46 hrs.) DEVELOPING A SENSE OF NUMBERNESS, COUNTING AND OPERATIONS OF NUMBERS 1 - 9 AND ZERO • Observes object and makes collections of objects. • Arranges the collection of objects in order by – Matching and – One to one correspondence • Counts the number of objects in a collection. • Makes collection of objects corresponding to a specific number. • Recognizes and speaks numbers from 1 to 9. • Uses numbers from 1 to 9 in counting and comparison. (Real objects and repeated events like clapping to be used for counting) • Reads and writes numerals from 1 to 9. • Adds and subtracts using real objects and pictures. • Adds and subtracts the numbers using symbols ‘+’ and ‘-’. • Approaches zero through the subtraction pattern (such as 3 – 1 = 2, 3 – 2 = 1, 3 – 3 = 0). NUMBERS FROM (10 - 20) • Forms Number sequence from 10 to 20. • Counts objects using these numbers. • Groups objects into a group of 10s and single objects. • Develops the vocabulary of group of ‘tens’ and ‘ones’. • Shows the group of tens and ones by drawing. • Counts the number of tens and ones in a given number. • Writes the numerals for eleven to nineteen. 8 • Writes numerals for ten and twenty. • Compares numbers upto 20. ADDITION AND SUBTRACTION (UPTO 20) • Adds and subtracts numbers upto 20. NUMBERS FROM 21 - 99 • Writes numerals for Twenty-one to Ninety nine.· Groups objects into tens and ones. • Draws representation for groups of ten and ones. • Groups a number orally into tens and ones. MENTAL ARITHMETIC • Adds two single digit numbers mentally. Money (3 hrs.) • Identifies common currency notes and coins. • Puts together small amounts of money. Measurement (13 hrs.) LENGTH • Distinguishes between near, far, thin, thick, longer/taller, shorter, high, low. • Seriates objects by comparing their length. • Measures short lengths in terms of non-uniform units (in the context of games e.g. ‘Gilli Danda’ and ‘marble games’). • Estimates distance and length, and verifies using no uniform units (e.g. hand span etc.) WEIGHT • Compares between heavy and light objects. Time • Distinguishes between events occurring in time using terms -earlier and later. • Gets the qualitative feel of long & short duration, of school days v/s holidays. • Narrates the sequence of events in a day.