Maths Book Rvsd

Mathematics Mapping of Learning Outcome with Chapters CLASS - VI - X



Mapping of Learning Outcomes of Mathematics for Classes VI to X Patrons 1) Smt Veditha Reddy, IAS, Secretary(Education 2) Shri Aditya Kumar Jha (DANICS), Director of Education. 3) Shri R K Singh, Principal(SIE)/ State Project Officer, Samagra Shiksha. 4) Shri M Paneer Selvam, Project Officer, Samagra Shiksha. Guidance and Support 1) Shri R Sethukarai, Faculty, State Institute of Education, Port Blair (Chief Coordinator). 2) Smt H Khairun Nisha, Faculty, State Institute of Education, Port Blair. (Assistant Coordinator). 3) Dr Bency Joy, Faculty, State Institute of Education, Port Blair (Subject Coordinator). Writing Team 1) Shri Sita Ram Yadav, Subject Expert, SPMU-Nipun Bharat, Samagra Shiksha. 2) Smt M V Mini, GTT, MS Wrightmyo. 3) Smt Seena Kumari, GTT MS Kanyapuram. Computer and Graphics 1) Smt Lakshmi Prasanna, Faculty, State Institute of Education, Port Blair. 2)Shri S L Vinjit, Faculty, State Institute of Education, Port Blair. 3) Shri Anujesh Rai, ICT Instructor, State Institute of Education, Port Blair. 4) Shri Suman Kumar Halder, Data Manager,Samagra Shiksha.

PREFACE The National Education Policy(NEP) 2020, has given a clear mandate for Competency-Based Education(CBE) to enhance the acquisition of critical 21st-century skills by learners. The first determinant for implementing CBE is a curriculum which is aligned to defined learning outcomes and that clearly states the indicators to be achieved. In consonance with the move towards outcome-based Education where the focus is on developing competencies in students, the State Institute of Education, Port Blair in collaboration with a dedicated team developed the framework for Mathematics for Classes VI to X. The manual comprises chapters that have been chunked by concepts/topics, and these concepts/topics have been linked to the NCERT Learning Outcomes and that too with a specified timeline. This framework would be a key resource for the teacher as he/she transacts the curriculum and will help the teacher to align the teaching-learning to meet the set quality standards. Your observations, insights and comments as you use this manual are welcome. Please encourage your students to voice their suggestions as well. These inputs would be helpful to improve the manual in the subsequent editions. All possible efforts have been made to remove technical errors and present the manual in a form that the teachers would find it easy and comfortable to use.

Table of contents 1.Class VI ………………………………………… 1-9 2.Class VII ………………………………………… 10-18 3.Class VIII ………………………………………… 10-18 4. Class IX ………………………………………… 10-18 5. Class X ………………………………………… 10-18

CLASS VI (MATHEMATICS) MAPPING OF LEARNING OUTCOME WITH CHAPTERS/LESSON/UNIT MONTH NAME OF THE TEACHER PEDAGOGY PLAN TEACHER LEARNING CHAPTER ASSESSMENT OUTCOME APRIL The learners may be provided with STRATEGY MA0601: solves opportunities (art integrated 1. Oral test problems activity/worksheets/individually or 2. involving large Assignment numbers by in groups and encouraged to- sheets applying 3. Assertion – appropriate • Consolidate the sense of reasoning operations type (addition, numbers questions subtraction, 4.M.C.Q multiplication • Use the given digits to 5.Pen paper and division) test make greatest and the 6. Case based smallest numbers. MCQ • Arrange the numbers in 1. Oral test 2. ascending and descending Assignment sheets order. 3. Assertion – reasoning • Place value type questions • Use commas to read large 4.M.C.Q 5.Pen paper numbers in Indian system test 6. Case based of numeration and MCQ. international system of numeration • Use large numbers to solve daily life situations • Rounding off to nearest tens, hundreds, thousands • Estimate the outcomes of numbers situations • To estimate sum, difference ,product • Use of brackets and to expand brackets • Use of roman numerals WHOLE The learners may be provided with NUMBERS opportunities (art integrated Predecessor and activity/worksheets/individually successor or in groups and encouraged to- Number line • Write the successor and Properties of predecessor of the given whole numbers Patterns in numerals. whole numbers • Apply the operation of addition, subtraction and multiplication on number line. • Understand the properties of whole numbers. • (closure property, associative property, commutative property, distributive property with respect to addition, subtraction, Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 1

JULY PLAYING WITH multiplication and 1. . Oral test MA0602: division) 2. recognises and NUMBERS • Find the sum and Assignment appreciates Factors and product using suitable sheets (through multiples rearrangement/property. 3. Assertion – patterns) the Prime and • Study the pattern in reasoning broad composite whole numbers. type classification numbers The learners may be provided with questions of numbers as Test for opportunities (art integrated even, odd, activity/worksheets/chart 4.M.C.Q prime, co- divisibility making/games)individually or in - 5.Pen paper prime, etc. Common -groups and encouraged to- test factors and • Write all the factors of a 6. Case based MA0603: common given number MCQ. applies HCF or multiples • Write multiples of a given LCM in a Prime number particular factorization • Identify prime ,composite, situation. H.C.F odd and even numbers andL.C.M . • Apply divisibility test to determine whether number is divisible by a given number • Find common factors and common multiples • Understand that every number can be written as products of Prime factors • Find prime factorisation and draw the factor tree • Apply prime factorisation method to find H.C.F and L.C.M • Using H.C.F and L.C.M to solve problems related to daily life situations. AUGUST INTEGERS The learners may be provided with 1. . Oral test MA0604: Representation opportunities (art integrated 2. solves problem activity/worksheets/games)individ Assignment involving of integers in ually or in groups and encouraged sheets addition and number line to- 3. Assertion – subtraction of reasoning integers. Ordering of • Understand the concept of type integers questions integers 4.M.C.Q Addition and • Explore the use of negative 5.Pen paper numbers, related to day to test Subtraction of day life, 6. Case based integers MCQ . • Ordering of negative numbers • Represent integers on number line • Use number line to add integers • Add and subtract integers Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 2

SEPTEMBER FRACTIONS The learners may be provided with 1. . Oral test MA0605: uses opportunities (art integrated 2. fractions and Fractions on activity/worksheets/charts) Assignment decimals in number line individually or in groups and sheets different Types of encouraged to- 3. Assertion – situations fractions reasoning which involve Simplest form of • Understand the concept of type money, length, fractions fractions by illustrations questions temperature Equivalent 4.M.C.Q etc. For fractions • Convert improper fractions 5.Pen paper example, 7½ Comparing of into mixed fractions and test metres of fractions vice –versa 6. Case based cloth. distance Addition and MCQ, between two Subtraction of • Understand the equivalent places is 112.5 fractions fractions km etc. MA0606: • Reduce fractions to solves simplest form problems on daily life • Comparing like and unlike situations involving fractions addition and subtraction of • Explore the addition and fractions / subtraction of like, unlike decimals. and mixed fractions MA0618: • Apply the above operations arranges to solve fractions related given/collected day to day life situations. information such as DECIMALS The learners may be provided with 1. . Oral test expenditure on Tenths opportunities (art integrated 2. different items activity/worksheets/charts)individ Assignment in a family in Hundredths ually or in groups and encouraged sheets the last six comparing to- 3. Assertion – months, in the decimals form of table, Using decimals • State the place value of reasoning Addition and each digit in a decimals type subtraction of questions decimals. • Write the number in words 4.M.C.Q when a decimal number 5.Pen paper written in numerical form test 6. Case based • Comparing decimals to MCQ . explore the greater ones • Using decimals for conversions in money, length and weight related situations • Explore the addition and subtraction of decimals • Apply the above operations on decimals to solve day to day life situations. OCTOBER DATA The learners may be provided with 1. . Oral test HANDLING opportunities (art integrated 2. Data activity/worksheets/graph)individ Assignment Recording data ually or in groups and encouraged sheets Pictograph and to- 3. Assertion – its • Understand the concept reasoning interpretation and use of data to examine type Drawing a questions pictograph a hypothesis Bar graph and • Collection and organisation 4.M.C.Q its of data and illustrate it in a 5.Pen paper tabular form to make a test Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 3

interpretation frequency table 6. Case based pictograph Drawing a bar MCQ and bar graph graph • Apply the concept of and interprets pictograph for them. REVISION interpretation &construction. • Apply the concept of bar graph for interpretation and construction REVISION FOR FIRST TERM FIRST TERM EXAMINATION NOVEMBER BASIC The learners may be provided with 1. . Oral test MA0610: GEOMETRICAL opportunities (art integrated 2. describes geometrical IDEAS activity/worksheets/models/objec Assignment ideas like line, Points, Line , ts from the surroundings) sheets line segment, individually or in groups and open and Intersecting encouraged to- 3. Assertion – closed figures, and parallel reasoning angle, triangle, lines, Ray, • Understand the concept of type quadrilateral, Curves, geometry, Its linkage with questions circle, etc., Angles, and reflection in everyday 4.M.C.Q with the help Triangles, experience. 5.Pen paper of examples in Quadrilaterals test surroundings. And Circles • Understand the concept of Point, Line, line segment, MA0611: ray by giving concrete demonstrates an examples understanding of angles by • Demonstrate Open and o identifying closed figures, interior and exterior of closed figures, examples of angles curvilinear and linear in the boundaries by giving surroundi concrete examples ngs o classifying • Explore the concept of angles Angle ( Vertex, arm, interior according and exterior) through to their illustration measure estimating the • Explore the concept of measure of triangle ( vertices, sides, angles using angles, interior and 45°, 90°, and 180° as exterior, altitude and reference angles median) through illustration . • Explore the concept of quadrilateral (Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral are to be discussed), interior and exterior of a quadrilateral) through illustration. • Explore the concept of circle (Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference) through Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 4

illustration. DECEMBER ALGEBRA The learners may be provided with 1. Oral test MA0607: Matchstick opportunities (art integrated 2. uses variable pattern activity/worksheets/situations Assignment with different Idea of variable from the surroundings) sheets operations to Examples of individually or in groups and 3. Assertion – generalise a variables encouraged to- reasoning given Use of variables type situation. e.g., in common rule • Understand the concept of questions Perimeter of a Expression variable through patterns 4.M.C.Q rectangle with with variables 5.Pen paper sides x units Using • Generalise such patterns test and 3 units is expression with more examples using 6. Case based 2(x+3) units match sticks. practically MCQ . Equation • Apply the use of variables Solution of an for finding common rules equation • Using expression practically and solve day to day situations. • Understand the concept of equation • Apply the trial and error method for finding the solution • Apply transposing method to find the solution JANUARY RATIO AND The learners may be provided with 1. Oral test MA0608: PROPORTION opportunities (art integrated 2. compares Ratio activity/worksheets/situations Assignment quantities Proportion from the surroundings) sheets using ratios in Unitary method individually or in groups and 3. Assertion – different encouraged to- reasoning situations. SYMMETRY type e.g., the ratio Making • Understand the concept of questions of girls to boys ratio and proportion. 4.M.C.Q in a particular 5.Pen paper class in 3:2. •determine whether the ratios are test MA0609: in proportion 6. Case based uses unitary • Apply unitary method to solve MCQ . method in problems related to real life solving various situations. 1. Oral test word 2. problems. For The learners may be provided with example, if the opportunities (art integrated cost of a dozen notebooks is given she finds the cost of 7 notebooks by first finding the cost of 1 notebook. MA0612: demonstrates Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 5

symmetrical activity/worksheets/examples Assignment an figures from the surroundings) sheets understanding Figures with individually or in groups and 3. Assertion – of line two and more encouraged to- reasoning symmetry by than two lines type identifying of symmetry • exploring symmetrical questions symmetrical 2- Reflection and figures 4.M.C.Q Dimensional symmerty 5.Pen paper (2-D) shapes • Observe and identify 2-D test which are symmetrical objects for 6. Case based symmetrical two and more than two MCQ , along one or lines of symmetry . more lines creating • Recognising reflection symmetrical 2- symmetry D shapes FEBRUARY PRACTICAL The learners may be provided with 1. . Oral test GEOMETRY opportunities (art integrated 2. Construction activity/worksheets/lab activity) Assignment of circle individually or in groups and sheets Construction encouraged to- 3. Assertion – of line reasoning segment • Draw a line segment of a type Copying a given length using ruler questions given line and compass 4.M.C.Q segment 5.Pen paper Perpendiculars • Construct circles when test Construction its radius/diameter is of angles given 6. Case based MCQ. REVISION • Construct perpendicular bisector to a given line • Drawing a line perpendicular to a given line from a point a) on the line b) outside the line. • Construction of angles using protractor • Construct angle 60°, 120° Using Compasses • Construct angle bisector- making angles of 30°, 45°, 90° etc. using compasses • Construct an angle equal to a given angle using compass REVISION FOR TERM II MARCH ANNUAL EXAMINATION (TERM II) Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 6

CLASS VII (MATHEMATICS) MAPPING OF LEARNING OUTCOME WITH CHAPTER / LESSON/UNIT Month Name of the Teacher pedagogy plan Teacher Learning APRIL chapter/unit assessm outcomes ent strategy INTEGERS The learners may be provided 1. Paper MA0701: Properties of with opportunities (Art integrated Pencil Multiplies/ integers, activity/ Audio- Visual Test divides two Multiplication of teaching/Worksheets/Lab integers. integers, Activity) individually or in groups 2. Quiz Division of and encouraged to— 3. MCQ integers, • Understand the properties of Test additive identity, addition and subtraction of 4. Assign multiplicative Integers and simplify identity arithmetic expressions ment Sheets • Understand the closure 5. Case- MA0702: property in respect of Based interprets multiplication and division of MCQ integers 6. Asserti the on – division • Identify Associative property Reaso in respect of multiplication ning and division of integers Type questi • Identify Commutative property ons in respect of multiplication and division of integers 1. Paper Pencil • Identify Distributive property Test of multiplication over addition 2.Quiz • Apply properties of 3.MCQ multiplication and Test division of integers for 4.Assign easier ment • calculation and solve Sheets problems based on real 5.Case- life related to integer Based MCQ FRACTIONS The learners may be provided 6. and AND DECIMALS with opportunities(Audio –Visual multiplicat Multiplications ion of of Fractions, Teaching/Worksheets/Art Division of fractions Fractions, integrated activity/Lab Activity) for Multiplications of individually or in groups and Decimal example Numbers, encouraged to – Division of interprets Decimal • Differentiate between Numbers 2 × 4as 2 proper fraction and 3 3 5 improper fraction and give of 4 . Also concrete examples 5 1 1is • Applies the rules for 2 ÷ 4 interpreted multiplication and division as how in order with a whole number by a fraction and 1many vice versa 4 • Applies the rules for make 1? 2 multiplication and division MA0703 : Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 7

JULY DATA in order with a fraction by Assertion uses HANDLING a fraction and vice versa – algorithms (Organisation of Reasonin to multiply Data, • Apply algorithm in g Type and divide multiplying and dividing questions fractions/ Arithmetic Mean, fractions in an arithmetic decimals. Range, expressions 1. Paper Mode, Pencil MA0720 : Median, • Use algorithm in solving Test interprets Use of Bar word problems on 2.Quiz data using Graph, fractions and decimals 3.MCQ bar graph Chance and based on real life related Test such as Probability) situation 4.Assign consumpti ment on of The learners may be provided Sheets electricity with opportunities (Art integrated 5.Case- is more in activity/Audio Visual Based winters Teaching/Worksheets/Lab MCQ than Activity/) individually or in 6. summer, groups and encouraged to— Assertion runs – scored by • Organise the collected Reasonin a team in data and draw inferences g Type first 10 from it as range ,mean questions overs etc. median, mode MA0719 : recognises • Interprets data using Bar variability Graph with a different real in real life life situations situation such as, • Apply the real life variations situations that may or in the may not happen as a height of chance of happening students in her class and uncertaint y in happening of events like throwing a coin. MA0718 : finds various representati ve values for simple data from her/his daily life contexts like mean, Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 8

median and mode. AUGUST SIMPLE The learners may be provided 1. Paper MA0706 : EQUATIONS with opportunities (Audio –Visual Pencil represents Setting up of an Teaching/Lab Test daily life equation, Activity/worksheets) individually 2.Quiz situations solving an or in groups and encouraged to— 3.MCQ in the form equation, Test of a simple applications of • Understand in setting up 4.Assign equation simple equations of an equation from real ment and solves to practical life situations Sheets it. situations 5.Case- • Apply the property of Based MA0708 : COMPAIRING balanced equations by MCQ distinguis QUANTITIES adding, subtracting, 6. hes Equivalent multiplying and dividing Assertion quantities Ratios the same number to both – that are in percentage , sides Reasonin proportion uses of g Type . For percentage, profit • Apply a systematic questions example, and loss method of solving an tells that equation by a series of 1. Paper 15, 45, 40, identical mathematical Pencil 120 are in operations Test proportion 2.Quiz as 15is the • Represents daily life 3.MCQ situations in the form of a Test 45 simple equation and solve 4.Assign ment same as The learners may be provided Sheets 40 . with opportunities (Lab 5.Case- Activity/Worksheets/Audio- Based 120 Visual Teaching/) individually or MCQ in groups and encouraged to – 6. MA0709 : Assertion solves • Check whether the given – problems two ratios are equivalent Reasonin related to or not g Type conversion questions of • Compare two quantities percentage and write in the form of to fraction ratios and solve it and decimal • Convert fractions and and vice decimals in percentage versa. and vice versa MA0710 : calculates • Application of profit and profit/loss loss based on real life situations • Application to simple interest based on real life situation in which the time period is one complete year Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 9

SEPTEMBER The Triangle The learners may be provided 1. Paper percent OCTOBER and its with opportunities (Lab Pencil and rate Test percent in properties Activity/Worksheets/Audio- 2.Quiz simple Median of a Visual Teaching/) individually or 3.MCQ interest Test MA0713 : triangle in groups and encouraged to- 4.Assign finds ment unknown Attitudes of a • Understand median and Sheets angle of a triangle 5.Case- triangle altitude of a triangle by Based when its Exterior angle of giving concrete examples MCQ two angles a triangle and its 6. are • Apply exterior angle Assertion known. properties – property in finding the Reasonin MA0714: Angle sum g Type explains properties of a unknown angle questions congruenc triangle y of Right angled • Apply angle sum property 1. Paper triangles triangle and of a triangle in finding the Pencil on the Pythagoras unknown in the given Test basis of property figures 2.Quiz the 3.MCQ informatio • Demonstrate properties of Test n given the length of a triangle 4.Assign about ment them like and apply in solving Sheets (SSS, SAS, problems 5.Case- ASA, Based RHS). • Apply Pythagoras theorem MCQ 6. MA0704 : based on real life situation in Assertion solves – problems finding the unknown lengths Reasonin related to g Type daily life Congruence of The learners may be provided questions situations triangles with opportunities (Lab involving 1. Paper rational Congruence of Activity/Worksheets/Audio- Pencil numbers. plain figures Visual Teaching/) individually or Test 2.Quiz Congruence of in groups and encouraged to- 3.MCQ Test triangles • Demonstrate congruence 4.Assign Criteria for ment of plain figure by trace Sheets congruence of copying and 5.Case- triangles(SSS,S Based superposition method MCQ AS,ASA,RHS) • Verify congruence of triangle for SSS,SAS,ASA,RHS congruence • Apply the congruence criterion in justifying the given congruent figures Rational The learners may be provided numbers with opportunities (Lab Concept of Activity/Worksheets/Audio- rational numbers Visual Teaching/) individually or Positive and in groups and encouraged to- negative rational • Understanding rational numbers numbers by giving Rational concrete examples numbers on a number line • Represent positive and Rational negative rational numbers numbers on a number line and Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 10

between two perform operations 6. rational numbers Operations on • Reduce the rational Assertion rational numbers number to simplest form – REVISION with appropriate examples Reasonin g Type • Apply operations on questions rational number having same and different denominators • Explore rational numbers between two given rational numbers REVISION FOR TERM I TERM I EXAMINATION NOVEMBER Lines and angles The learners may be provided 1. Paper MA0711 : DECEMBER with opportunities (Art integrated classifies Complementary activity/Audio Visual Pencil pairs of angles Teaching/Worksheets/Lab Test angles Supplementary Activity/) individually or in 2.Quiz based on angles groups and encouraged to— 3.MCQ their Intersecting lines Test properties Parallel lines • Recall line ,line 4.Assign as linear, Adjacent angles segment ,points and ment supplemen Linear pair angles Sheets tary, Vertically 5.Case- compleme opposite angles • Differentiate Based ntary, Angles formed by complementary and MCQ adjacent transversal supplementary angles 6. and Assertion vertically • Classify pairs of angles – opposite based on their Reasonin and finds properties as adjacent g Type value of angles,linear pair and questions the one vertically opposite angle when the other is • Apply the above concept given. in finding the unknown angles MA0712 : verifies the • Demonstrate intersecting properties lines, transversal lines of various and identify angles made pairs of by a transversal angles formed • Verifies the properties of when a various pairs of angles transversa formed when a transversal l cuts two cuts two lines lines. Practical The learners may be provided 1. Paper MA0715: geometry with opportunities (Art integrated Pencil using ruler Construction of activity/Audio Visual Test and a pair parallel lines Teaching/Worksheets/Lab 2.Quiz of Construction of Activity/) individually or in 3.MCQ compasses triangles using groups and encouraged to— Test constructs SSS,SAS,ASA,R 4.Assign , a line HS criteria • Construction of a line ment parallel to parallel to a given line Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 11

JANUARY Perimeter and from a point outside it Sheets a given area • Construction of simple 5.Case- line from a Area of squares Based point and rectangle triangles like given MCQ outside it Area of three sides, given a side 6. and parallelogram and two angles on it, Assertion triangles. Area of a triangle given two sides and – Area of circles angles between them Reasonin MA0716 : Application in • Constructing a right – g Type finds out space around us angled triangle when questions approxima the length of one le and te area of Algebraic its hypotenuse are given 1. Paper closed expressions The learners may be provided Pencil shapes by Concept of terms with opportunities (Art integrated Test using unit in an expressions activity/Audio Visual 2.Quiz square Like and unlike Teaching/Worksheets/Lab 3.MCQ grid/ terms in an Activity/) individually or in Test graph algebraic groups and encouraged to— 4.Assign sheet expression ment MA0717: Monomial • Apply in finding the Sheets calculates binomial area and perimeterof 5.Case- areas of trinomial in a squares and rectangles Based the regions polynomial MCQ enclosed Addition and • Use the formula in finding 6. in a subtraction of the area of a parallelogram Assertion rectangle algebraic – and a expressions • Apply the formula of a Reasonin square. Finding the value circle in finding the g Type in an expression circumference and area of questions MA0707: Exponents and the circle adds/subt powers 1. Paper racts Concept of • Apply the algorithms in Pencil algebraic exponents, Laws finding the areas of the Test expression region enclosed in any 2.Quiz s. closed shapes like circles 3.MCQ rectangles squares Test MA0705 : triangles 4.Assign uses parallelograms ment exponentia Sheets l form of • Differentiate between 5.Case- coefficient and variables Based MCQ • Understand terms of an 6. expression Assertion – • Distinguish monomial Reasonin binomial trinomial in g Type algebraic expression questions 1. Paper • Applies rules for Pencil addition and Test subtraction in order to 2.Quiz simplify the given algebraic expression. • Simplify the algebraic expressions and find the value of any given variable The learners may be provided with opportunities (Art integrated activity/Audio Visual Teaching/Worksheets/Lab Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 12

of exponents, Activity/) individually or in 3.MCQ numbers Expressing Large groups and encouraged to— Test to simplify numbers in the 4.Assign problems standard form • Uses exponential form of ment involving numbers to simplify Sheets multiplicat SYMMETRY problems involving 5.Case- ion and Lines of multiplication and Based division of Symmetry division. MCQ large For regular 6. numbers. Polygons • Apply Laws of exponents Assertion FEBRUARY Rotational to arrive at a – Symmetry generalization. Reasonin g Type Visualising Solid • Apply to write large questions Shapes numbers in standard Faces, Edges & form. 1. Paper Vertices. Pencil Net for 3D The learners may be provided Test Shapes. with opportunities (Art integrated 2.Quiz Viewing Different activity/Audio Visual 3.MCQ sections of a Teaching/Worksheets/Lab Test Solid. Activity/) individually or in 4.Assign groups and encouraged to— ment Sheets • Understand line of 5.Case- symmetry Regular Based polygon. MCQ 6. • Observe rotational Assertion symmetry – Reasonin • Observe centre and angle g Type of rotation questions • Demonstrate the order of 1. Paper rotational symmetry Pencil Test • Operation of rotation 2.Quiz through 900and1800 3.MCQ Test The learners may be provided 4.Assign with opportunities (Art integrated ment activity/Audio Visual Sheets Teaching/Worksheets/Lab 5.Case- Activity/) individually or in Based groups and encouraged to— MCQ 6. • Reorganization of 2D & 3D Assertion Shapes. – Reasonin • Identify the Faces, Edges g Type & Vertices. questions • Draw the net for Solid Shapes. • Viewing Solid Shapes from Different Angles. Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 13

MAPPING OF LEARNING OUTCOME WITH CHAPTER/LESSON/UNIT CLASS VIII (Mathematics) Month Chapter Teacher’s Pedagogy Plan Teacher Learning April Assessme Outcomes 1. Rational The learners may be provided With LO April Numbers with opportunities (Art integrated nt (Introduction to activity/Audio Visual Strategy Code Rational Teaching/Worksheets/Lab (MA0801): Numbers, Activity/) individually or in 1) MCQ Generalise Representation groups and encouraged to— 2) ORAL s of • Define rational number in properties Rational QUIZ of Numbers on order to identify whether the 3) PAPE addition, the Number given number is a rational subtractio Line, Rational number or not. R PEN n, Numbers • Apply the properties of TEST multiplicat between Two natural numbers, whole 4) ASSIG ion and Rational numbers and integers with NMEN division of Numbers) respect to all the arithmetic T rational operations in order to extend SHEE numbers them for rational numbers. T through • Use prior knowledge in order 5) Makin patterns to define the additive and g multiplicative identity of charts (MA0802): rational numbers. finds out • Use prior knowledge of as many integers and fractions in rational order to define the additive numbers and multiplicative inverse of as possible rational numbers. between • Apply Distributivity of two given multiplication over addition rational for rational numbers in order numbers. to simplify a given expression. • Extend the concepts of number line in order to represent rational number on the number line. • Calculate and find rational numbers between any two rational numbers in order to prove that there are infinite rational numbers between any two given rational numbers. • 2. Linear The learners may be provided 1) MCQ (MA0806): Equation in One with opportunities (Art integrated 2) WOR Solves Variable activity/Audio Visual puzzles (Introduction, Teaching/Worksheets/Lab KSHE and daily Solving Activity/) individually or in ET life 3) ORAL Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 14

equations groups and encouraged to— QUIZ problems which have 4) PAPE using linear • List the properties of variables. expressions on algebraic expression and R PEN one side and algebraic equation in order to TEST numbers on the differentiate between the two. 5) Makin other side, g Some • Identify the variable(s) and charts applications, the highest power of the 6) Create Solving equations variable in a given algebraic Mathe having the equation in order to matic variable on both distinguish whether it is a s sides, Some linear equation in one puzzle more variable or not. using applications, ICT Reducing • Substitute the given values tools. equations to of variable in order to simpler verify whether it is the form, Equations solution of the equation or reducible to not. linear forms) • Transpose terms to the other side in order to solve linear equations which have linear expression on one side and numbers on the other side. July 3. The learners may be provided • MCQ (MA0812): Understanding with opportunities (Art integrated • Solve activity/Audio Visual • Works problems Quadrilaterals Teaching/Worksheets/Lab • heet related to Activity/) individually or in • angles of a (Introduction, groups and encouraged to— • Oral quadrilater Polygons: Quiz al using • List the properties of a • angle sum Classification polygon in order to classify Paper property. of polygons, the given figures as a Pen polygon. Test (MAT813): Diagonals, Verifies • List the properties of Makin properties Concave and different types of polygons g of Convex in order to classify them as charts parallelogr regular or irregular, am and polygons, concave or convex. Visual establishes Regular and ise the • Recall the angle sum the relationshi irregular property of triangle in conce p between order to extend it for pts them polygons, Angle quadrilaterals. using through sum property, Geoge reasoning. • Relate the angle sum bra Sum of the property of triangle and and measures of quadrilateral in order to other extend it for an n-sided ICT the exterior polygon. tools. angles of a • Apply angle sum property Create polygon, Types of of a quadrilateral in order Mathe to find the measure of the matic quadrilaterals: unknown angle in a given s Trapezium, Kite, quadrilateral. puzzle using Parallelogram, • Apply exterior angle property ICT of a polygon in order to find Elements of parallelogram, Angles of a parallelogram, Diagonals of parallelogram, Some special parallelograms: Rhombus, Rectangle, Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 15

Square.) the measure of the unknown tools. angle in a given figure. Paper Pen • List the properties of Test Assig quadrilaterals in order to nment classify them as trapezium, Sheet kite and parallelogram. • Discuss the properties of a parallelogram in order describe the relation between its opposite sides, angles and diagonals. • Discuss the properties of a rhombus in order to classify it as special case of kite and parallelogram. • Discuss the properties of a rectangle in order to show that it is a special case of parallelogram • Discuss the properties of a square in order to show it as special case of parallelogram, rhombus and rectangle. July 4. Practical The learners may be provided (MAT0816 Geometry with opportunities (Art integrated ): (Introduction, activity/Audio Visual Constructs • different Construction of Teaching/Worksheets/Lab • quadrilater quadrilaterals Activity/) individually or in als using compass (i) When four groups and encouraged to— and straight sides and one • Discuss and list the edge. diagonal given. minimum number of (ii) When two diagonals and elements required in order to construct a unique three sides are quadrilateral. given. (iii) When two • List and execute steps of adjacent sides construction in order to construct a quadrilateral and three given the length of its four angles are sides and a diagonal. given. • List and execute steps of (iv) When three construction in order to sides and two included angles construct a quadrilateral are given. given the length of its three sides and two diagonals. (v) When other special • List and execute steps of properties are construction in order to known.) construct a quadrilateral given the length of two adjacent sides and measures of three angles are known. • List and execute steps of construction in order to construct a quadrilateral given the length of three sides and measures of two Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 16

included angles are known. • Identify the minimum number of elements required in order to construct special cases of quadrilaterals. July 5. Data The learners may be provided • MCQ (MA0820): August • Draw and Handling with opportunities (Art integrated • Oral interprets Quiz bar charts (Looking for activity/Audio Visual • and pie Information, Teaching/Worksheets/Lab Paper charts. • Pen Organising Activity/) individually or in Test (MA0821): Data, Grouping groups and encouraged to— • Makes Assig hypothesis Data, Bars with • Recall the different types of nment on Sheet chances of a difference, graphical representation future Circle Graph or Makin events on (namely pictograph, bar g the basis Pie Chart, charts of its Drawing pie graph and double bar graph) earlier of data in order to represent Create occurrence charts, Chance Mathe s on the given data in the most matic available and Probability, suitable representation and s data like Getting a result, puzzle after interpret them. using repeated Equally likely ICT throws of outcomes, • Use tally marks in order to tools. dice & coins. Linking chances organise the given raw to probability, data in a frequency distribution table. Outcomes as • Use tally marks in order to events, Chance and probability prepare a grouped related to real frequency distribution table for large ungrouped life) data. • Construct histogram in order to represent the given grouped data. • Discuss the elements of the given histogram in order to interpret it. • List and execute steps of construction in order to construct a circle graph. • Read a given circle graph in order to infer a variety of information from it. • List all the possible outcomes of an experiment in order to define the equally likely outcomes. • List all the possible outcomes of an event in order to calculate the probability of a given event. 8. Comparing The learners may be provided • MCQ (MA0810): Quantities with opportunities (Art integrated • Applies the activity/Audio Visual Works concept of (Recalling Ratios Teaching/Worksheets/Lab • heet percent in and Percentages, Activity/) individually or in Oral Finding the Quiz Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 17

Increase or groups and encouraged to— • Paper profit and • Pen loss Decrease Per • Test situations • in finding cent, Finding • Convert ratios to percentage Assig discount, Discounts, • nment VAT and in order to solve the given • Sheet compound Estimation in questions. • interest. percentages, • Makin eg. • Apply the formula for g calculate, Prices Related charts discount discount and discount percent to Buying and Create when Selling (Profit percentage in order to solve Mathe marked matic piece and and Loss), the given problem on s actual discount. puzzle discount Finding cost using are given • Calculate the discount in ICT or finds price/selling tools. profit given situations in order to percent price, when cost profit %/loss%, comment whether the seller price and has made a profit/loss in profit in a Sales Tax/Value transactio Added the given transaction. n are given. Tax/Goods and • Define and compare simple Services Tax, interest and compound interest in order to comment Compound on the situations where either Interest, Deducing a of the two are applied. Formula for • Calculate the simple interest Compound in order to find the total amount to be paid by the Interest, Rate debtor. Compounded Annually or • Use formula of simple interest Half Yearly in order to deduce the formula to calculate the (Semi Annually), Applications of compound interest Compound • Calculate the compound Interest Formula) interest in order to find the total amount to be paid by the debtor. • Define the terms 'compounded annually', 'compounded half yearly' and 'compounded quarterly' and give examples in order to differentiate between the three. • Use formula of compound interest in order to solve problems related to increase (or decrease) in population. • Use formula of compound interest in order to solve problems related to increase (or decrease) in the price of an item in intermediate years. August 9. Algebraic The learners may be provided MCQ (MA0807) Expression & with opportunities (Art integrated :Multiplies Works Algebraic Identities are activity/Audio Visual heet Expression (What Teaching/Worksheets/Lab Oral (MA01808 expressions?, Activity/) individually or in Quiz ) e.g Terms, Factors, groups and encouraged to— Paper Coefficients, Pen • Count the number of terms Test Monomials, in an algebraic expression Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 18

Binomials and in order to classify them as • Assig Expands Polynomials, monomial, binomial, nment (2x-5) (3x2 Like and Unlike • trinomial or polynomial in • Sheet +7) terms, Addition • general. • and Makin (MA0809): subtraction of Identify like and unlike g uses algebraic terms in algebraic charts various expressions, expressions in order to add algebraic Multiplication of or subtract the given Create identities algebraic algebraic expressions. Mathe in solving expression: matic problems Introduction, Use rules of exponents and s of daily life powers in order to multiply a puzzle monomial by a monomial. Multiplying a using monomial by a • Extend the multiplication of ICT • monomial by a monomial in tools. monomial, • order to obtain the product of Multiplying a • any number of monomials. monomial by a Use distributive property of multiplication over addition polynomial, and subtraction in order to Multiplying a obtain the product of a monomial and a binomial. polynomial by a polynomial, Use distributive property of multiplication over addition What is an and subtraction in order to obtain the product of a identity?, monomial and a trinomial. Standard Simplify the algebraic identities, Applying identities) expressions in order to find the value of expression for the given value of the variable. • Use distributive law of multiplication in order to obtain the product of two binomials. • Use distributive law of multiplication in order to obtain the product of a binomial and a trinomial. • Define and compare equation and identity in order to classify a given question into either of the two. • Use multiplication of binomials in order to explore and verify the standard identities for squares of binomials. • Use identities in order to simplify the given algebraic expressions. • Use identities in order to find the product of the given numbers. Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 19

September 12. Exponents & The learners may be provided • MCQ (MA0805): October with opportunities (Art integrated • Solves Powers activity/Audio Visual • Oral problems Teaching/Worksheets/Lab Quiz with (Introduction, Activity/) individually or in • integral Powers with groups and encouraged to— Paper exponents. • Pen Negative • Simplify powers with negative Test Exponents, Laws exponents in order to • calculate the multiplicative Assig of Exponents, inverse of a number. nment Sheet Use of Exponents • Give examples in order to to Express Small show that is valid for all Makin integer exponents. g Numbers in charts Standard Form, • Apply the first law of exponents and principles of Create Comparing very negative exponents in order Mathe to derive the rest of the laws matic large and very of exponents. s small numbers) puzzle • Apply laws of exponents in using order to simplify a given ICT expression. tools. • Express very large and very small numbers in the standard form in order to compare and estimate quantities. 6. Square & Revision • MCQ (MA0804): Square Roots The learners may be provided • finds with opportunities (Art integrated Works squares, (Introduction, activity/Audio Visual heet cubes and Properties of Teaching/Worksheets/Lab square square numbers, Activity/) individually or in roots and Some more groups and encouraged to— cube roots interesting of patterns) • Define perfect squares in numbers order to classify the given using numbers as perfect squares different or non-perfect squares. methods. • Observe the number in order to find the unit place of its square. • Observe different number patterns in order to deduce square numbers. • Use the rule that there are exactly 2n non-perfect square numbers between the squares of the number n and (n+1) in order to find how many numbers, lie between the squares of the given two consecutive numbers. November 6. Square & The learners may be provided (MA0804): Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 20

Square Roots with opportunities (Art integrated finds (Finding the activity/Audio Visual squares, square of a Teaching/Worksheets/Lab • Oral cubes and number, Activity/) individually or in Quiz square Pythagorean groups and encouraged to— • Paper roots and triplets, Square • Pen cube roots roots through • Use the rule that a perfect Test of repeated square number (n2) can be numbers subtraction, written as the sum of first n Assig using prime odd natural numbers in order nment different factorization and Sheet methods. to distinguish between square division method, • Makin and non-square numbers. Square roots of • decimals, Use Pythagoras theorem in g order to find the Pythagorean charts Estimating triplet. • Mathe square roots) • Apply inverse operations on a matic given perfect square in order s • to deduce square root of this puzzle number. using ICT Use method of repeated tools. subtraction in order to find the square root of the given square number. • Use prime factorization method in order to find the square root of the given perfect square. • se prime factorization method in order to determine whether the given number is a perfect square or not. • Use prime factorization method in order to find the smallest number to be operated (all the four arithmetic operations) on given number to get a perfect square and then find the square root of the new number. • Use long division method in order to find the square root of the given perfect square number. • Use long division method in order to find the smallest number to be operated (all the four arithmetic operations) on given number to get a perfect square and then find the square root of the new number. • Use long division method in order to find the square root of the given decimal number. • Use estimation in order to Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 21

approximate the value of the square root of the given number to the nearest whole. November 7. Cube & Cube The learners may be provided • MCQ (MA0804): November Roots with opportunities (Art integrated • Works finds (Introduction, activity/Audio Visual • heet squares, Cubes and Cube Teaching/Worksheets/Lab • Oral cubes and roots) Activity/) individually or in • Quiz square groups and encouraged to— Paper roots and 10. Visualising • Pen cube roots Solid Shapes • Define perfect cube/cube • Test of (Introduction, number in order to classify • Assig numbers Views of 3D- the given numbers as cube • nment using Shapes, numbers or non-cube • Sheet different Mapping Space numbers. methods. Around Us, MCQ Faces, Edges • Observe the pattern of cube Oral (MA0814): and Vertices) of even numbers in order to Quiz Represents generalise that cubes of even Paper 3D numbers are even. Pen shapes on Test a plane • Observe the pattern of cube Assig surface of numbers with one's digit as nment such as a 1, 2, 3, 4… etc. in order to Sheet sheet of explore the one's digit of their Makin paper, perfect cubes and comment blackboar on it. d etc. • Add n consecutive odd numbers in order to get the sum equal to n^3. • Use prime factorization in order to rule out a number as a perfect cube. • Use prime factorization on the given number in order to find the smallest number to be operated (all the four arithmetic operations) on given number to get a perfect cube. • Use prime factorization in order to find the cube root of a given number. • Use estimation in order to find the cube root of a given perfect cube. The learners may be provided with opportunities (Art integrated activity/Audio Visual Teaching/Worksheets/Lab Activity/) individually or in groups and encouraged to— • Compare 2D shapes and 3D shapes in order to classify a given shape into either. • Identify different shapes in nested objects in order to Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 22

match the object with its g (MA0815): charts verifies shape. Euler’s Visual relation • Visualize 3D objects in • ise through the pattern. order to draw them from • conce different perspectives. pts • using • Discuss the given front, top • Geoge • bra and side view of an object • and • other in order to identify the • ICT • tools. object. Create • Discuss the elements in a Mathe matic map in order to s differentiate between a puzzle using map and a picture. ICT tools. • Read and interpret simple map in order to answer questions based on them. • Choose appropriate scale and use symbols to denote landmarks in order to draw a simple map. • Identify faces, edges and vertices in a given solid in order to classify it as a polyhedron or a non- polyhedron. • Count vertices, edges and faces in 3D figures with flat faces in order to verify Euler’s formula. December 11. Mensuration The learners may be provided MCQ (MA0817): Estimates (Introduction, Let with opportunities (Art integrated Works the area of us recall, Area activity/Audio Visual heet shapes like of trapezium, Teaching/Worksheets/Lab Oral trapezium Area of a Activity/) individually or in Quiz and other polygons general groups and encouraged to— Paper by using Pen square quadrilateral, • Calculate area and Test grid / Area of a graph perimeter of circle, square, Assig sheet and polygon. Surface nment verify Area & Volume of rectangle, triangle in order Sheet using to calculate area and formulas. Cube, Makin perimeter of adjoint g (MA0818): Cuboid and shapes. charts finds the Cylinder) area of a • Breakdown a given Create polygon. Mathe trapezium into known matic (MA0819): s finds figures (triangles, squares, puzzle surface using area and rectangles) in order to ICT volume of derive the formula for the tools. cuboidal area of a trapezium. • Calculate the area of a given polygon after breaking down the polygon in multiple ways in order to compare the values and comment on it. • Illustrate 2-D representation of a cuboid, cube and cylinder in order to compute Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 23

the surface areas by breaking and cylindrical them in to areas of known object. figures. (MA0811): solves • Calculate the surface area of problems a cube, cuboid and cylinder based on direct and to determine the cost of inverse proportion painting/covering their s. surface. (MA0811): • Calculate the volume of a solves problems given cube, cuboid, cylinder based on direct and in order to infer the quantity inverse of any substance it can hold. proportion s. • Modify the values of l, b, h in order to examine the effect it has on the value of the surface area/volume of a cuboid. • Modify the values of r, h in order to examine the effect it has on the value of the surface area/volume of a cylinder. • Calculate the volume of a given cuboid, cylinder in order to determine the time taken to fill it with a liquid at a given rate. December 13. Direct and The learners may be provided • MCQ January Inverse • Oral Variation with opportunities (Art integrated • Quiz • Paper 13. Direct and activity/Audio Visual Pen Inverse Teaching/Worksheets/Lab • Test Variation • Assig Activity/) individually or in • nment groups and encouraged to— • Sheet • • Observe the relationship MCQ Works between the given two heet Oral quantities in order to solve for Quiz Paper the constant of Pen proportionality. Test Assig • Examine situations in order to decide whether two quantities are proportional to each other or not. • Complete a given table showing two proportional quantities in order to answer questions based on them. The learners may be provided with opportunities (Art integrated activity/Audio Visual Teaching/Worksheets/Lab Activity/) individually or in groups and encouraged to— • Convert the given statement on relationship (directly or inversely proportional) between two quantities into a Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 24

table in order to identify the nment Sheet missing quantity and solve for MCQ its value. Works heet • Observe the table in order to Oral determine which pair of Quiz Paper variables are inversely Pen Test proportional. Assig nment • Create their own scale by Sheet Create creating the best Mathe proportionality constant in matic s order to draw a given figure puzzle with large dimensions. using ICT January 14. The learners may be provided tools. Factorization with opportunities (Art integrated (Introduction, activity/Audio Visual • What is Teaching/Worksheets/Lab • • factorization?, Activity/) individually or in • Method of groups and encouraged to— • common factors, • Express each term as a Factorisation by • product of irreducible factors regrouping in order to find the common terms, factors of the given terms. Factorisation • Use the method of common using identities, Factors of the factors in order to factorize form (x + a)(x + the given algebraic expression. b), Division of algebraic • Regroup the terms in order to expression, factorize the given algebraic Division of a expressions. monomial by • Apply the standard algebraic another identities in order to factorize monomial, the given algebraic expressions (for perfect Division of a polynomial by a squares). monomial, • Factorize algebraic Division of a expressions in the form in order to express it as a polynomial by a product of its irreducible polynomial, Can factors of the form. you find the • Use the common factor errors?) method in order to divide a monomial by a monomial. • Use the common factor method in order to divide a polynomial by a monomial. • Divide each term in the numerator by the denominator in order to divide a polynomial by a monomial • Use the common factor method in order to divide a polynomial by a polynomial. • Check the given mathematical statements in order to find and give Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 25

reasons for the possible errors in them. February 15. Introduction The learners may be provided February to graph with opportunities (Art integrated (MA0820): draws and (A bar graph, a activity/Audio Visual interprets pie graph, a bar charts histogram, Teaching/Worksheets/Lab and pie Linear graph Activity/) individually or in charts. and Location of a groups and encouraged to— • MCQ (MA0803): point/coordinat • proves es, Some • Draw a line graph in order • Oral divisibility applications) Quiz rules of 2, to represent the given data • 3,4, 5, 6, 9 that changes continuously Paper and 11. • Pen over periods of time. Test • • Interpret the given line Assig nment graph in order to answer Sheet the given questions. Makin • Plot a point on the graph in g charts order to describe its Create coordinates. Mathe matic • Plot the given points on the s puzzle graph in order to verify if using they lie on the same line or ICT tools. not. • Choose an appropriate scale in order to plot a graph for the given data. • Construct the line graph in order to discuss the relationship between independent and dependent variable in a given mathematical situation. 16. PLAYING The learners may be provided WITH NUMBERS with opportunities (Art integrated (Numbers in activity/Audio Visual General Form, Teaching/Worksheets/Lab Games with Activity/) individually or in Numbers, groups and encouraged to— Letters for • Use the concepts of place Digits, Tests of value in order to express Divisibility) the given numbers in their generalised form. • Apply the divisibility rule of 11 in order to check whether a given number is divisible by 11 or not. • Add or subtract a two-digit number and its reverse in order to check whether it is divisible by 9 or not. • Subtract a three-digit number and its reverse in order to verify that it is divisible by 99. • Form all possible three- digit numbers using the Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 26

March given 3 digits in order to verify that the sum of these numbers will be divisible by 37. • Apply the divisibility rule of 10 in order to check whether a given number is divisible by 10 or not. • Apply the divisibility rule of 5 in order to check whether a given number is divisible by 5 or not. • Apply the divisibility rule of 2 in order to check whether a given number is divisible by 2 or not. • Apply the divisibility rule of 3 and 9 in order to check whether a given number is divisible by them. • Apply the divisibility rule of 2,5 and 10 in order to check whether a given number is divisible by all of them or not. Revision 2nd term examinat ion Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 27

MAPPING OF LEARNING OUTCOME WITH CHAPTER/LESSON/UNIT CLASS IX Month Chapter Teacher’s Pedagogy Plan Teacher Learning APRIL Assessm Outcomes 1. Number The learners may be provided ent With LO Systems Strategy Code with opportunities (Art integrated (Introduction to 1) MCQ (MA0901): number system, activity/Audio Visual 2) WOR applies Irrational Teaching/Worksheets/Lab logical Numbers, Real KSHE reasoning Numbers and Activity/) individually or in ET in their Decimal groups and encouraged to— 3) ORAL classifying Expansions, QUIZ real Representing • Recall natural numbers, 4) PAPE numbers, Real R PEN proving Numbers on the whole numbers, integers and TEST their Number Line, 5) ASSIG properties Operations on Rational numbers in order to NMEN and using Real T them in Numbers, Laws classify a given number as SHEE different of Exponents for either of them. T situations. Real Numbers) 6) Makin • Represent a given number in g charts the form p/q in order to show whether the given number is rational or not. • Calculate and find rational numbers between any two rational numbers in order to prove that there are infinite rational numbers between any two given rational numbers. • Modify a given non- terminating decimal number in the form of p/q in order to comment whether this number is irrational. • Use Pythagoras' theorem and create a Pythagorean triplet in order to construct the length of root of a given number. • Deduce the value of a given fraction in its decimal form in order to infer if the decimal number is terminating or non-terminating. • Use successive magnification in order to visualise a given decimal number on a number line. • Compute the commutative, associative and distributive laws for addition and multiplication for irrational numbers in order to determine whether the sum, difference, quotients and products of irrational Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 28

numbers are irrational or not. • Rationalize the denominator of a given expression with a square root term in the denominator in order to convert it to an equivalent expression whose denominator is a rational number. • Extend the law of exponents in order to simplify a given expression. APRIL 2. Polynomials The learners may be provided 6) MCQ (MA0902): 7) WOR identifies/ (Introduction to with opportunities (Art integrated classifies Polynomials, activity/Audio Visual KSHE Polynomials in polynomial one Teaching/Worksheets/Lab ET s among Variable, Zeroes 8) ORAL algebraic of a Activity/) individually or in expression Polynomial, groups and encouraged to— QUIZ s and Remainder 9) PAPE factorises Theorem, • Recognise variables and their them by Factorisation of R PEN applying Polynomials, degree in a given algebraic TEST appropriat Algebraic 10) ASSIG e algebraic Identities) expression in order to NMEN identities. differentiate whether given T SHEE expression is a polynomial in T 11) Makin one variable or not. g charts • Identify the degree of a given 12) Visual polynomial in order to classify ise the an expression as zero, linear, conce pts quadratic and cubic using polynomials. Geoge bra • Substitute the value of 'a' in a and other given expression p(x) in order ICT tools. to find the value of 13) Create polynomial at 'a' i.e., p(a). Mathe matic • Use given values for the s puzzle variable 'x' in a polynomial using ICT p(x) in order to identify if the tools. given value is a zero of the polynomials. • Using Remainder Theorem, calculate division of p(x) by a linear polynomial 'x – a' in order to find that the remainder is p(a) and verify using long division method. • Apply factor theorem in order to determine if a linear polynomial 'x-a' is a factor of the given polynomial P(x) • Apply factor theorem in order to determine the value of an unknown constant 'k' in Polynomial P(x) when a linear polynomial ‘x-a’ is a known factor of P(x). • Apply factor theorem in order to factorise a given Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 29

JULY 3. Coordinate polynomial. 1) MCQ (MA0908): Geometry 2) WOR develops • Factorise a given polynomial strategies (Introduction to using splitting middle-term KSHE to locate Coordinate method and factor theorem in ET Geometry, order to compare the results 3) ORAL points in a Cartesian of the two. QUIZ Cartesian System, Plotting 4) PAPE a Point in the • Point out to an algebraic R PEN plane. Plane identity that can be used in TEST if its order to factorize a given 5) ASSIG (MA0903): Coordinates are expression. NMEN Relates the given, T algebraic Application of • Select appropriate algebraic SHEE and Coordinate identities in order to evaluate T graphical Geometry) the values of given 6) Makin representa expressions. g charts The learners may be provided 7) Visual with opportunities (Art integrated ise activity/Audio Visual the Teaching/Worksheets/Lab conce Activity/) individually or in pts groups and encouraged to— using Geoge • Determine the x & y co- bra ordinate of a point from a and graph in order to write the other coordinates of the point as an ICT ordered pair. tools. 8) Create • Plot a point on the Cartesian Mathe plane in order to determine matic QUADRANT of the point. s puzzle • Observe a given ordered using pair in order to comment ICT on its location. tools. • Apply concepts of coordinate 1) MCQ geometry in order to simplify 2) Works given word problems. heet 4. Linear The learners may be provided 3) Oral Equations in with opportunities (Art integrated Two Variables activity/Audio Visual quiz Teaching/Worksheets/Lab 4) Paper (Introductions, Activity/) individually or in Linear groups and encouraged to— Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 30

Equations, • Recall concepts of coefficients pen tions of a Solutions of and variables in order to test linear Linear construct a linear equation 5) Assig equation Equations, from a given statement. nment in Graph of linear sheet one or two equations in • Compare a given linear 6) Makin variables two equation to the standard form g and variables, ax+ by + c + 0 in order to charts applies the Equations of deduce the values of a, b and 7) Visual concept to lines parallel– c. ise daily life x–axis the situations. and y–axis) • Use substitution method in conce order to deduce whether the pts (MA0905): ordered pair is solution to a using Derives given linear equation. Geoge proofs of bra mathemati • Plot the points on a graph and cal in order to represent a other statements linear equation in two ICT particularl variables. tools. y related 8) Create to • Solve an equation in order Mathe geometrica to represent it on a number matic l concepts, line and a Cartesian plane. s like puzzle parallel JULY 5: Introduction The learners may be provided using lines, to Euclid's ICT triangles, Geometry with opportunities (Art integrated tools. quadrilater (Introduction, als, Euclid’s activity/Audio Visual 1) MCQ circles, Definitions, Teaching/Worksheets/Lab 2) Works etc., by Axioms and applying Postulates, Activity/) individually or in heet axiomatic Equivalent groups and encouraged to— 3) Oral approach Versions and solves of Euclid’s Fifth • Give examples of theorems, quiz problems 4) Paper using Postulate) postulates and axioms in them. pen order to differentiate between test them with examples. 5) Assig nment • Reproduce Euclid's axioms in sheet 6) Makin your own words in order to g charts give examples for each. 7) Visual ise • List Euclid's fifth postulates the conce in order to visualize and pts using illustrate them through a Geoge diagram. bra and • Analyse given other ICT statements/postulates in tools. 8) Create order to determine if they are Mathe extensions of Euclid's matic postulates. • Apply Euclid's postulates in order to prove basic geometrical concepts about lines, points, planes, shapes, etc. • Illustrate the equivalent of Euclid’s fifth postulate Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 31

through a diagram in order s to list conditions for two puzzle lines to be parallel. using ICT AUGUST 6: Lines and The learners may be provided tools. (MA0905): AUGUST Angles with opportunities (Art integrated 1) MCQ Derives (Basic Terms and 2) Works proofs of Definitions, Pairs activity/Audio Visual heet mathemati of Angles, Teaching/Worksheets/Lab 3) Oral cal Parallel Lines quiz statements and a Activity/) individually or in 4) Paper particularl Transversal, pen y related Lines Parallel to groups and encouraged to— test to the same Line, 5) Assig geometrica Angle Sum • Define segment, ray, collinear nment l concepts, Property of a points, non-collinear points, sheet like Triangle) 6) Makin parallel acute angle, right angle, g lines, 7: Triangles charts triangles, (Congruence of obtuse angle, straight angle, 7) Visual quadrilater Triangles, reflex angle, complementary ise als, the circles, angles, Supplementary angles conce etc., by in order to identify them in a pts applying using axiomatic given figure. Geoge approach bra and solves • Label angles created by two and problems other using intersecting lines in order to ICT them. tools. identify vertically opposite 8) Create (MA0904): pairs, adjacent angles, linear Mathe identifies matic similarities pairs, s complementary/supplementa puzzle using ry pairs of angles. ICT tools. • Apply the concepts of linear 1) MCQ pairs of angles and vertically 2) Works opposite angles in order to heet establish relationships between the angles in a given figure and solve for missing values. • Label angles created by a transversal intersecting two parallel lines in order to identify corresponding angles, alternate angles, interior angles and define relationship between these angles. • Solve for the value of unknown angles created by a transversal in a given figure in order to infer If the lines are parallel or not. • Define relationship between angles formed when a triangle is placed between two parallel lines in order to prove that exterior angle of a triangle is the sum of the two opposite interior angles. The learners may be provided with opportunities (Art integrated activity/Audio Visual Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 32

Criteria for Teaching/Worksheets/Lab 3) Oral and quiz differences Congruence of Activity/) individually or in among Triangles, Some groups and encouraged to— 4) Paper different Properties of a pen geometrica Triangle, some • Observe the angles and sides test l shapes.. More Criteria of the given figures in order to (MA0905): for Congruence of show that they are congruent 5) Assig derives Triangles, or not congruent. nment proofs of Inequalities in sheet mathemati • Apply concepts of linear pairs cal a of angles, vertically opposite 6) Makin statements Triangle) angles, corresponding angles, g particularl alternate angles, transversal charts y related angles & exterior angles of a to triangle in order to prove 7) Visual geometrica ise l concepts, congruence between two the like triangles in a given figure. conce parallel pts lines, • Illustrate the criteria of using triangles, congruencies of triangles Geoge quadrilater through diagrams (ASA, SAS, bra als, SSS, RHS) in order to prove and circles, relationships between given other etc., by angles, sides and triangles of ICT applying a given figure. tools. axiomatic approach • Apply criteria for congruence 8) Create and solves in a triangle with two Mathe problems matic using congruent sides in order to s them. prove that the angle opposite puzzle using (MA0905): to the sides are equal and ICT Derives apply it in a given figure to tools. proofs of solve for the measure of an mathemati angle. 1) MCQ cal 2) Works statements • Examine given triangles that particularl satisfy AAA or SSA criteria in heet y related order to comment whether 3) Oral to they are congruent. geometrica quiz l concepts, • Using properties of 4) Paper like parallel inequalities in triangles pen lines, prove the relationship test triangles, 5) Assig quadrilater between any given sides or nment als, sheet circles, angles in a given figure. 6) Makin g SEPTEMBER 8. The learners may be provided charts Quadrilaterals with opportunities (Art integrated 7) Visual (Angle sum activity/Audio Visual ise property of a Teaching/Worksheets/Lab the conce Quadrilateral, Activity/) individually or in Types of groups and encouraged to— Quadrilaterals, • Apply angle sum property Properties of • Parallelogram, • of quadrilateral in order to Another Condition for a find the value of the Quadrilateral to unknown angle. be a List the properties of Parallelogram, The Mid-point quadrilaterals in order to Theorem) classify real life objects into different types of Quadrilaterals. List the properties of parallelogram in order to identify if a given Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 33

quadrilateral is a pts etc., by using applying parallelogram. Geoge axiomatic bra approach • Apply properties of and and solves other problems parallelogram in order to ICT using find (a) an unknown angle tools. them. 8) Create (b) an unknown side. Mathe (MA0906): matic finds areas • Prove the midpoint theorem s of all types puzzle of triangles of triangles using concepts of using by using ICT appropriat congruency and transversal tools. e formulae angles in order to extend the and apply 1) MCQ them in application to quadrilaterals. 2) Oral real life situations. OCTOBER 9. AREA OF The learners may be provided quiz PARALLELOGRA 3) Paper M & TRIANGLES with opportunities (Art integrated (Figures on the activity/Audio Visual pen same base test and between the Teaching/Worksheets/Lab 4) Assig same nment Parallels, Activity/) individually or in sheet Parallelograms groups and encouraged to— 5) Makin on the same g base and • Identify the planar region charts between the 6) Visual same and area associated in ise Parallels, the Triangle & order to show that area of conce Parallelogram non-overlapping planar pts on using the same base region formed is the sum of Geoge and between their areas. bra the same and parallels, • Identify if given figures lie other Triangles on ICT the same base on the same base and tools. and between the between the same parallels same parallels) in order to write the common base and the two parallels. • Extend the understanding of congruency of triangle in order to prove that: Parallelograms on the same base and between the same parallels are equal in area. • Extend prior knowledge from this chapter in order to prove that when a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half the area of the parallelogram. • Extend prior knowledge in order to prove that Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 34

• Extend prior knowledge to prove that Two triangles having the same base (or equal bases) and equal areas lie between the same parallels. Revision and 1st terminal Examination NOVEMBER 10. Circles The learners may be provided 1) MCQ (MA0905): (Circles and its 2) Works Related with opportunities (Art integrated derives Terms: A activity/Audio Visual heet proofs of Review , Angle 3) Oral mathemati Teaching/Worksheets/Lab cal Subtended by a Activity/) individually or in quiz Chord at a Point, groups and encouraged to— statements Perpendicular 4) Paper particularl from the • Construct a circle of a pen y related Centre to a given radius in order to test to Chord, Circle verify that the length of geometrica through Three multiple segments drawn 5) Assig l concepts, Points, Equal from the centre of the nment like Chords and their circle to the circumference sheet parallel distances from lines, the is equal. 6) Makin triangles, Centre, Angle g quadrilater subtended by • Define radius, chord, charts als, arc of the circle, diameter, segment (major circles, Cyclic and minor), arc (major and 7) Visual etc., by Quadrilaterals) minor), interior or exterior ise applying of a circle in order to the axiomatic illustrate and label them conce approach on a given circle. and solves pts problems • Apply theorems regarding using using angle subtended by a chord Geoge them. in a circle in order to find the bra measure of an angle in the and given figure. other ICT • Apply the property of tools. perpendicular from the centre 8) Create to the chord in order to solve Mathe for the missing values matic (lengths and angles) in a s puzzle given figure. using ICT • Construct circle passing tools. through one, two & three non-collinear points in order to comment on how many circles can be constructed passing through them. • Use the value of radius and perpendicular to the chord in order to compute the length of a chord. • Interpret and apply theorems on the angles subtended by arcs of a circle in order to solve for unknown values in given examples. Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 35

NOVEMBER 11. • Apply the relation between 1) MCQ (MA0907): DECEMBER Constructions angles of a cyclic 2) Works Constructs (Basic quadrilateral in order to solve different Constructions, for the value of a given angle. heet geometrica Some 3) Paper l shapes Constructions The learners may be provided like of with opportunities (Art integrated pen bisectors Triangles) activity/Audio Visual test of line Teaching/Worksheets/Lab 4) Assig segments, 12. Heron’s Activity/) individually or in nment angles, Formula groups and encouraged to— sheet and (Introduction, 5) Visual triangles Area of a Triangle • List and execute steps of ise under by Heron's construction in order to the given Formula, bisect a given angle. conce conditions Application of pts in order to Heron’s • List and execute steps of using provide Formula construction in order to Geoge reasons for in finding Areas draw the perpendicular bra. the of bisector of a given line processes Quadrilateral) segment. 6) MCQ of such 7) Works constructi • List and execute steps of ons. construction in order to heet construct an angle of any 8) Paper (MA0906): given measurement. finds areas pen of all types • List and execute steps of test of triangles construction in order to 9) Assig by using construct a triangle given nment appropriat its base, a base angle and sheet e formulae the sum of the other two 10) Makin and apply sides. g them in charts real life • List and execute steps of 11) Create situations. construction in order to Mathe construct a triangle given matic its base, a base angle and s the difference of the other puzzle two sides. using • List and execute steps of construction in order to construct a triangle given its perimeter and its two base angles. The learners may be provided with opportunities (Art integrated activity/Audio Visual Teaching/Worksheets/Lab Activity/) individually or in groups and encouraged to— • Calculate area of a given triangle to state the limitation of the Standard formula (Area of Triangle = 1/2 x b x h) • Apply Heron's formula in order to calculate the area of a Triangle. • Breakdown a given polygon into triangles in order to find the area of a given Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 36

polygon as a sum of areas ICT of those triangles. tools. DECEMBER 13. Surface The learners may be provided 1) MCQ (MA0912): Areas and 2) Works Volumes with opportunities (Art integrated Derives (Introduction, heet formulas Surface Area of activity/Audio Visual 3) Paper for surface a Teaching/Worksheets/Lab areas and Cuboid and a pen volumes of Cube, Surface Activity/) individually or in test different Area of a groups and encouraged to— 4) Assig solid Right Circular nment objects Cylinder, • Visualise a cube and sheet like, Surface Area of a 5) Prese cubes, cuboid in its 2-D form in ntatio cuboids, Right Circular n Cone, Surface order to calculate the right Area of a surface area. 6) Makin circular Sphere, Volume g cylinders/ of a Cube, • Calculate the surface area charts cones, Volume of a spheres Cuboid, Volume (lateral and total) of the 7) Visual and of a Cylinder, ise hemispher Volume of a cube or cuboid in order to the es in order Cone, Volume of conce to apply a sphere, Volume determine the cost of pts them to of a painting/covering the given using objects hemisphere ) Geoge found in surface. bra the and surroundi • Visualize a cylinder in its ngs. other 2-D form in order to ICT calculate the curved tools. 8) Create surface area and total Mathe matic surface area. s puzzle • Calculate the surface area using (curved and total) of a ICT tools. cylinder to determine the cost of painting/covering the given surface. • Visualize a right circular cone in 2-D in order to calculate the surface area (curved and total) • Calculate the surface area (curved and total) of a cone to determine the cost of painting/covering the given surface. • Calculate the surface area of a • sphere/hemisphere to determine the cost of painting/covering the given surface of a sphere/hemisphere. • Calculate the volume of a given cube in order to infer the quantity of any substance it can hold. • Calculate the volume of a given cuboid in order to infer the quantity of any substance it can hold. • Calculate the volume of a given cylinder in order to infer the quantity of any Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 37

substance it can hold. • Calculate the volume of a given cone in order to infer the quantity of any substance it can hold. • Calculate the volume of a given sphere in order to infer the quantity of any substance it can hold. • Calculate the volume of a given hemisphere in order to infer the quantity of any substance it can hold. JANUARY 14. Statistics The learners may be provided 1) MCQ (MA0910): (Introduction, with opportunities (Art integrated 2) Works analyses Collection of data by data, activity/Audio Visual heet representi presentation of Teaching/Worksheets/Lab 3) Paper ng it in data, Graphical different representation of Activity/) individually or in pen forms like, data- Bar Graph, test tabular Histogram, groups and encouraged to— 4) Assig form Frequency nment (grouped Polygon, • Recalls the basic terms of sheet or Measures of statistics learned in the 5) Makin ungrouped Central g ), bar Tendency) lower classes. charts graph, 6) Visual histogram • Understands the concept of ise (with equal and a data and process of its the varying conce width and collection. pts length), using and • Prepares a grouped Geoge frequency bra polygon. frequency table. and other (MA0909): • Understands how to draw a ICT Identifies bar graph, and histogram. tools. daily life 7) Create situations • Record and label a given Mathe in order to matic classify data set in order to create s them as puzzle situations a frequency table. using where ICT mean, • Identify an appropriate scale tools. median and mode and labels in order to can be used. represent given data through a bar graph. • Read a given bar graph in order to infer a variety of information from it. • Compare the values in order to corelate two data points from the graph. • Read the given data in order to create a histogram for continuous and discontinuous data sets. • Read a given histogram in order to infer a variety of information from it. • Read the given data in order to create a frequency polygon for given data sets. • Read a given frequency polygon in order to infer a variety of information from it. • Differentiate between Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 38

mean, median and mode with examples in order to understand most effective measure of central tendency in various cases. • Apply appropriate formula in order to calculate the mean and median of even and odd number of data points. • Recall and use the formula for mean in order find the value of a missing observation. JANUARY 15. Probability The learners may be provided 1) MCQ (MA0911): (Calculation of with opportunities (Art integrated 2) Paper calculates Empirical activity/Audio Visual pen empirical Probability in Teaching/Worksheets/Lab test probability various Activity/) individually or in 3) Assig through experiments) groups and encouraged to— nment experimen • Recall the formula for sheet ts and Empirical probability to 4) Makin describes g its use in calculate the probability charts words. for a simple event. • Create a flow chart of all 5) Create the terms related to Mathe random experiments (coins, matic s dice, cards) in order to calculate the total number puzzle of trials of a given using experiment and calculate ICT the Empirical Probability. tools. • Compute the total number of trials and trials for a given event E represent in various forms (table, histogram, pie charts, etc) to solve for the value of Empirical Probability P(E). • Calculate empirical probability of a situation in order to predict the likelihood of an event. • Arrange events from least likely to most likely in order to predict outcomes in a given experiment. • Calculate the sum of probabilities of all events in order to Prove that the sum of the probability of all events in a single experiment is 1. February Revision March Centralised Examination Note: Topics/Chapters in bold and italics are deleted from the syllabus 2022-23. Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 39

Class X (Mathematics) MAPPING OF LEARNING OUTCOME WITH CHAPTER/LESSON/UNIT Month Name of Teacher Pedagogy Plan Teacher Learning Chapter/Unit Assessm Outcome ent Strategy April Unit I The learners may be provided Number with opportunities (Lab 1) MCQ (MA1001) System activity/Art Integrated Test : activity/Worksheets/Audio- Generalise Chapter 1 visual teaching) individually or in 2) Oral s Real Numbers groups and encouraged to — Quiz properties (Euclid’s • Apply Euclid’s Division 3) of Division, numbers Fundamental Algorithm and obtain Assignme and Theorem of the HCF of two positive nt sheets relations Arithmetic, integers in the context among Decimal of the given problem. 4) Case- them representation based studied • Apply Euclid division of Rational MCQ earlier to Numbers, Algorithm and prove evolve Irrational results of positive results, integers in the form of 5) Numbers) ax+b where a and b are Assertion such as - Euclid’s constants. reasoning division • Use the Fundamental Theorem of Arithmetic and type algorithm, can calculate the HCF and questions and Fundamen LCM of the numbers in As tal the context of the given suggeste Theorem problem. d in of CBSE Arithmetic • Decimal representation Curriculu and of rational numbers in m applies terms of 1) Pen them to terminating/non- Paper solve terminating recurring Test and problems decimals. Multiple related to Assessme real-life • Recall the properties of irrational number and nt contexts prove that whether the 2) sum /difference /product Portfolio /quotient of the two 3) Lab numbers is irrational or Practical not. (Lab activities • Apply theorems of to be irrational numbers and done prove whether a given from the number is irrational or prescribe not. d books) • Proof of irrationality of √2 ,√3,√5 Unit II The learners may be provided (MA1002) Algebra with opportunities (Lab Develops a activity/Art Integrated relationshi Chapter 2 activity/Worksheets/Audio- Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 40

Polynomials visual teaching) individually or in p between groups and encouraged to — algebraic (Geometrical and • Recall the degree of the graphical meaning polynomial and find the methods of of Zeroes of a number of zeroes of finding the polynomial zeroes of a Polynomial, polynomial Relationship • Analyse the graph of the . polynomials and find the between number of zeroes of polynomial Zeroes and, Division • Compute zeroes of the Algorithm polynomials and verify the for relationship between Polynomials, zeroes and the Coefficients coefficients. Polynomial)of • Compute the sum and a product of zeroes of the polynomial and find the quadratic polynomial. • Non-linear two given polynomials and verify the division algorithm. • Divide the given polynomial with its known zero and find all the other zeroes of that polynomial. Chapter 3 The learners may be provided 1) MCQ (MA1003) Pair of Linear with opportunities (Lab Test finds equations in activity/Art Integrated solutions activity/Worksheets/Audio- 2) Oral of pairs of two visual teaching) individually or in Quiz linear variables groups and encouraged to — equations (Introduction 3) in two and Properties • State the properties of Assignme variables of Linear linear equation and nt sheets using equations and classify the given non- linear equations as linear or 4) Case- graphical non- linear based and equations, MCQ different Graphical • Interpret the concepts of algebraic Method of linear equations and 5) methods Solution of a represent any given Assertion Pair of Linear situation algebraically by - Equations, substitution, by reasoning Algebraic elimination and by cross type method for multiplication method. questions solving Linear Equations, • Plot the lines As Situational corresponding to the given suggeste problems) two linear equations and d in comment on the nature CBSE /behaviour of the lines Curriculu representing the linear m equations • Use different algebraic methods and solve a pair Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 41

of linear equations 1) Pen • Use the most appropriate Paper Test and algebraic method and Multiple solve the given pair of Assessme linear equations • Use the concepts of pair of nt 2) linear equations in two Portfolio variables and represent 3) Lab any given situation algebraically and find its Practical (Lab solution activities • Calculate the ratio of to be coefficients of linear equations and discuss the done nature of the pair of linear from the prescribe equations d books) • Simple problems on equations reducible to a linear equation Chapter 4 The learners may be provided 1) MCQ (MA1004): Quadratic with opportunities (Lab Test Demonstra Equation activity/Art Integrated tes activity/Worksheets/Audio- 2) Oral knowledge (Introduction visual teaching) individually or in Quiz of to Quadratic groups and encouraged to — Equations, 3) application Factorization • In the form of a Quadratic Assignme of various Method, Equation represent the nt sheets strategies Completing given situational and find Square algebraically. 4) Case- roots and Method, based determine Solving a • Rewrite the given MCQ the nature Quadratic equations in the standard of roots of Equation, form and check whether 5) a given Roots of a they are quadratic or not. Assertion equation Quadratic - Equation, • Solve quadratic equations reasoning Nature of through factorization and type Roots) find their roots. questions • Solve quadratic equations As through middle-term suggeste splitting and find their d in roots. CBSE Curriculu • Solve quadratic m equations by completing 1) Pen the square and finding Paper its roots. Test and Multiple • Use the Quadratic formula Assessme and find the roots of the nt Quadratic Equation. 2) Portfolio • Substitute the value of the roots of a given quadratic equation and verify them. • Examine the discriminant Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 42

of thequadratic equation 3) Lab and find out the nature of Practical (Lab • its roots activities • to be Describe the nature of the done roots of a quadratic from the equation and determine prescribe whether a given situation d books) is possible or not. Solve problems on equation reducible to quadratic equations August Chapter 5 The learners may be provided 1) MCQ (MA1005): Arithmetic with opportunities (Lab Test Develops Progression activity/Art Integrated strategies (Introduction activity/Worksheets/Audio- 2) Oral in order to to Arithmetic visual teaching) individually or in Quiz apply the Progressions, groups and encouraged to — concept of nth term of 3) AP to daily AP, • Distinguish between finite Assignme life Sum of first n and infinite AP and nt sheets situations terms of an determine the nature and AP) write the last term of the 4) Case- (MA1006): given AP. based Uses Chapter 6 MCQ reasoning Triangles • Calculate the nth term of in order to (Similar a given AP and find its 5) differentiat figures, terms and their nature. Assertion - • Calculate the nth term of reasoning a given AP and solve real- type life word problems. questions • Calculate the sum of a As given AP and get the suggeste solution to real-life word d in problems. CBSE Curriculu • Calculate the sum of a m given AP and solve 1) Pen contextual problems. Paper Test and • Calculate the last term of Multiple the given AP and find Assessme solutions to real-life word nt problems. 2) Portfolio • Use the appropriate 3) Lab formula to calculate the Practical last term of the given AP. (Lab activities • Solve application based to be questions on sum of n done terms of an AP. from the prescribe The learners may be provided d books) with opportunities (Lab activity/Art Integrated activity/Worksheets/Audio- visual teaching) individually or in groups and encouraged to — Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 43

Similarity of • Distinguish between e between triangles, congruency and similarity congruent Criteria for and understand the and similarity of concept of similar figures similar Triangles, figures Areas of • Compute the angles and Similar ratio of sides of polygons (MA1007): Triangles, and determine their Uses Pythagoras similarity different Theorem) geometric • Compute the angles and criteria ratio of sides of triangles establishe and determine their d earlier similarity such as basic • Apply the basic proportion proportionality theorem ality and its converse and theorem determine the ratio of etc. in sides in the given order to triangle(s) establish properties • Apply various criteria of for similarity and prove similarity whether given triangles of two are similar or not triangles • Show similarity of triangles and solve real- life problems • Compute the square of the ratio of the corresponding sides of triangles and find the area of similar triangles • Compute the area of similar triangles and find the relation between their sides, medians, and mid- points of the triangles. • Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. • Apply the theorem that if a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle. • Prove Pythagoras theorem and its converse and solve real- life problems Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 44

• Apply Pythagoras theorem and its converse and determine whether a given triangle is a right-angled triangle or not September Chapter 7 The learners may be provided 1) MCQ (MA1008): Derives Coordinate with opportunities (Lab Test formulae to Geometry activity/Art Integrated 2) Oral establish activity/Worksheets/Audio- Quiz relations (Basics of visual teaching) individually or in for Graphs, groups and encouraged to — 3) geometrica Distance Assignme l shapes in Formula, • Identify x and y nt sheets the Section coordinates and plot context of Formula, Area points on the graph. 4) Case- a of a Triangle) based coordinate • Apply and derive the MCQ plane, distance formula and such as determine the distance finding the distance Chapter 8 between two coordinates 5) between Introduction on the graph. Assertion two given • Apply distance formula - points, in to and solve various reasoning order to Trigonometry mathematical and real-life type determine problems graphically questions coordinate • Apply and derive section s of a formula and divide the As point line segment in a given suggeste between ratio d in any two • Apply distance and section CBSE given formula and determine the Curriculu points, to vertices /diagonals /mid m find the points of given geometrical 1) Pen area of a shapes Paper triangle • Apply and derive the Test and etc. formula of area of Multiple triangle geometrically Assessme (MA1009): and determine the area nt determines of quadrilateral 2) all /triangle Portfolio trigonomet 3) Lab ric ratios The learners may be provided Practical with with opportunities (Lab (Lab espect to a activity/Art Integrated activities given activity/Worksheets/Audio- to be acute visual teaching) individually or in done groups and encouraged to — from the prescribe • Describe trigonometry and d books) study the relationship between side and angle of a triangle • Define and distinguish various trigonometric ratios and describe and verify sine, cosine, tangent, cosecant, secant, Texts in BOLD ITALICS are Topics / Chapters deleted from 2022-23 Syllabus 45