Units	Term – 1 (MCQ Based Question Paper)	Marks
Part A	Accounting for Partnership Firms
1	Fundamentals	18
2	Change In Profit Sharing Ratio
3	Admission of a Partner
1	Company Accounts: Accounting for Shares	12
Part B	Analysis of Financial Statement
Financial Statement of a Company (i) Statement of Profit and Loss and Balance Sheet in prescribed form with major headings and sub headings (as per Schedule III to the Companies Act, 2013) (ii) Tools of Analysis – Ratio Analysis t	10
Accounting Ratios
OR
Computerized Accounting	10
Overview 0f Computerized Accounting System Accounting Application of Electronic Spreadsheet
Total Theory	40
Project Work (Part -1)	10

Part A

Unit: Accounting for Partnership Firms Units/Topics

Partnership: features, Partnership Deed.

Provisions of the Indian Partnership Act 1932 in the absence of partnership deed.

Fixed v/s fluctuating capital accounts. Preparation of Profit and Loss Appropriation account- division of profit among partners, guarantee of profits.

Past adjustments (relating to interest on capital, interest on drawing, salary and profit-sharing ratio).

Goodwill: nature, factors affecting and methods of valuation – average profit, super profit and capitalization.

Accounting for Partnership firms – Reconstitution

Change in the Profit-Sharing Ratio among the existing partners – sacrificing ratio, gaining ratio, accounting for revaluation of assets and reassessment of liabilities and treatment of reserves and accumulated profits. Preparation of revaluation account and balance sheet.

Admission of a partner – effect of admission of a partner on change in the profit-sharing ratio, treatment o goodwill (as per AS 26), treatment for revaluation of assets and reassessment of liabilities, treatment of reserves and accumulated profits.

Note: (i) The realized value of each asset must be given at the time of dissolution. (ii) In case, the realization expenses are borne by a partner, clear indication should be given regarding the payment thereof.

Unit-3 Accounting for Companies

Accounting for Share Capital

Share and share capital: nature and types.

Accounting for share capital: issue and allotment of equity and preferences shares. Public subscription of shares – over subscription and under subscription of shares; issued at par and at premium, calls in advance and arrears (excluding interest), issue of shares for consideration other than cash.

Concept of Private Placement and Employee Stock Option Plan (ESOP).

Accounting treatment of forfeiture and reissue of shares.

Disclosure of share capital in the Balance Sheet of a company.

Learning Outcomes

Unit: Analysis of Financial Statements
Financial statements of a Company: Statement of Profit and Loss and Balance Sheet in prescribed form with major headings and sub headings (as per Schedule III to the Companies Act, 2013

Financial Statement Analysis: Objectives, importance and limitations.
Tools for Financial Statement Analysis: Comparative statements, common size statements, cash flow analysis, ratio analysis.
Accounting Ratios: Meaning, Objectives, classification and computation.
Liquidity Ratios: Current ratio and Quick ratio.
Solvency Ratios: Debt to Equity Ratio, Total Asset to Debt Ratio, Proprietary Ratio and Interest Coverage Ratio.
Activity Ratios: Inventory Turnover Ratio, Trade Receivables Turnover Ratio, Trade Payables Turnover Ratio and Working Capital Turnover Ratio.
Profitability Ratios: Gross Profit Ratio, Operating Ratio, Operating Profit Ratio, Net Profit Ratio and Return on Investment.

OR

Part B: Computerized Accounting

Unit: Computerized Accounting

Overview of Computerized Accounting System

Introduction: Application in Accounting.
Features of Computerized Accounting System.
Structure of CAS.
Software Packages: Generic; Specific; Tailored.

Accounting Application of Electronic Spreadsheet

Concept of electronic spreadsheet.
Features offered by electronic spreadsheet.
Application in generating accounting information – bank reconciliation statement; asset accounting; loan repayment of loan schedule, ratio analysis
Data representation- graphs, charts and diagrams.

Term 2 CBSE Class 12 Accountancy Syllabus and Marks Distribution 2021-22

Accountancy (Code No. 055) Class-XII (2021-22)

Theory: 40 Marks

Units	Term 2	Marks
Part A	Accounting for Not-For Profit Organizations	10
1	Accounting for Partnership Firm	12
2	Retirement And Death of A Partner
3	Dissolution Of Partnership Firms
1	Company Accounts: Accounting for Debentures	08
Part B	Analysis of Financial Statement
	Financial Statement of a Company (i) Comparative and Common Size Statements	10
	Cash Flow Statement
	OR
	Computerized Accounting	10
	Using computerized Accounting System Database Management System	10
	Total Theory	40
	Project Work (Part -2)	10

Part – A

Unit : Accounting for Not – For Profit Organizations

Not-for-profit organizations: concept.

Receipts and Payments Account: features and preparation.

Income and Expenditure Account: features, preparation of income and expenditure account and balance sheet from the given receipts and payments account with additional information.

Unit : Accounting for Partnership Firms

Accounting for Partnership firms – Reconstitution and Dissolution

Retirement and death of a partner: effect of retirement / death of a partner on change in profit sharing ratio, treatment of goodwill, treatment for revaluation of assets and reassessment of liabilities, adjustment of accumulated profits and reserves and preparation of balance sheet.

Calculation of deceased partner’s share of profit till the date of death.

Dissolution of a partnership firm: meaning of dissolution of partnership and partnership firm, types of dissolution of a firm. Settlement of accounts – preparation of realization account, and other related accounts: capital accounts of partners and cash/bank a/c (excluding piecemeal distribution, sale to a company and insolvency of partner(s)).

Unit – Accounting for Companies

Accounting for Debentures

Debentures: Issue of debentures at par, at a premium and at a discount. Issue of debentures for consideration other than cash; Issue of debentures with terms of redemption; debentures as collateral security concept, interest on debentures. Writing off discount / loss on issue of debentures.

Part – B

Unit: Analysis of Financial Statements

Financial statements of a Company

Tools for Financial Statement Analysis: Comparative statements, common size statements.

Unit: Cash Flow Statement

Meaning, objectives and preparation (as per AS 3 (Revised) (Indirect Method only)

OR

Part – B:computerized Accounting

Unit : computerized Accounting

Using Computerized Accounting System

Steps in installation of CAS, codification and Hierarchy of account heads, creation of accounts.

Data: Entry, validation and verification.

Adjusting entries, preparation of balance sheet, profit and loss account with closing entries and opening entries.

Need and security features of the system.

Database Management System (DBMS)

Concept and Features of DBMS.

DBMS in Business Application.

Generating Accounting Information – Payroll.

Over the centuries, accounting has been conserved and limited to the monetary record-keeping pursuits of the accountant. However, the current day’s rapidly developing business environment has impelled the accountants to revise their representation and functions both within the enterprise and the association.

Class 12 Business Syllabus

Business Studies for Class 12 provides an extensive range of concepts and advanced information regarding the subject which includes all the questions provided in the Business Studies syllabus. A piece of good knowledge in the business can influence the growth of an organization, earning, personal development, and daily lives of people. The business has an important impact on the living and quality of lifestyle and also the environment we live in. Students can directly access the CBSE Business Studies Syllabus for Class 12 for academic year 2021- 22 by clicking on the link above.

CBSE Class 12 Business Studies Syllabus for Term 1

Business Studies CLASS–XII (2021-22)

Theory: 40 Marks

Time: 90 Minutes

Units	Term 1 – MCQ Based Question Paper	Periods	Marks
Part A	Principles and Functions of Management
1	Nature and Significance of Management	12	16
2	Principles of Management	11
3	Business Environment	8
4	Planning	8	14
5	Organizing	10	14
	Total	49	30
Part B	Business Finance and Marketing
11	Marketing Management	24	10
	Grand Total	73	40
	Project Work (Part 1)		10

Part A: Principles and Functions of Management

Unit 1: Nature and Significance of Management

Concept:

Management – concept, objectives, and importance

Management as Science, Art and Profession

Levels of Management

Management functions-planning, organizing, staffing, directing and controlling

Coordination- concept and importance

Unit 2: Principles of Management

Concept:

Principles of Management- concept and significance

Fayol’s principles of management

Taylor’s Scientific management- principles and techniques

Unit 3: Business Environment

Concept:

Business Environment- concept and importance

Dimensions of Business Environment, Economic, Social, Technological, Political and Legal

Unit 4: Planning

Concept:

Planning: Concept, importance and limitation

Planning process

Unit 5: Organizing

Concept:

Organizing: Concept and importance

Organizing Process

Structure of organization- functional and divisional concept.

Delegation: concept, elements and importance

Decentralization: concept and importance

Unit 11: Marketing

Concept:

Marketing – Concept, functions and philosophies

Marketing Mix – Concept and elements

Product – branding, labelling and packaging – Concept

Price – Concept, Factors determining price

Physical Distribution – concept

Promotion – Concept and elements; Advertising, Personal Selling, Sales Promotion and Public Relations

CBSE Class 12 Business Studies Syllabus for Term 2

Business Studies CLASS–XII (2021-22)

Theory: 40 Marks

Duration: 2 Hrs.

Units	Term 2 – Subjective Question Paper	Periods	Marks
Part A	Principles and Functions of Management
6	Staffing	13	20
7	Directing	9
8	Controlling	7
	Total	29	20
Part B	Business Finance and Marketing
9	Financial Management	20	15
10	Financial Markets	18	15
12	Consumer Protection	5	5
	Total	43	20
	Grand Total	72	40
	Project Work (Part 2)	10

Unit 6: Staffing

Concept:

Concept and importance of staffing

Staffing process

Recruitment process

Selection – process

Training and Development – Concept and importance, Methods of training – on the job and off the job – vestibule training, apprenticeship training and internship training

Unit 7: Directing

Concept:

Concept and importance

Elements of Directing

Motivation – concept, Maslow’s hierarchy of needs, Financial and non-financial incentives

Leadership – concept, styles – authoritative, democratic and laissez faire

Communication – concept, formal and informal communication

Unit 8: Controlling

Concept:

Controlling – Concept and importance

Steps in process of control

Part B: Business Finance and Marketing

Unit 9: Financial Management

Concept:

Concept, role and objectives of Financial Management

Financial decisions: investment, financing and dividend- Meaning and factors affecting

Financial Planning – concept and importance

Capital Structure – concept and factors affecting capital structure

Fixed and Working Capital – Concept and factors affecting their requirements

Unit 10: Financial Markets

Concept:

Financial Markets: Concept, Functions and types

Money market and its instruments

Capital market and its types (primary and secondary), methods of floatation in the primary market

Stock Exchange – Functions and trading procedure

Securities and Exchange Board of India (SEBI) – objectives and functions

Unit 12: Consumer Protection

Concept:

Concept and importance of consumer protection

Consumer Protection Act 2019: Meaning of consumer Rights and responsibilities of consumers Who can file a complaint? Redressal machinery Remedies available

Unit 13: Project Work

Guidelines for Project Work in Business Studies for Class 12

Introduction

The course in Business Studies is introduced at Senior School level to provide students with a sound understanding of the principles and practices bearing in business (trade and industry) as well as their relationship with the society. Business is a dynamic process that brings together technology, natural resources and human initiative in a constantly changing global environment. With the purpose to help them understand the framework within which a business operates, and its interaction with the social, economic, technological and legal environment, the CBSE has introduced Project Work in the Business Studies Syllabus for Classes XI and XII. The projects have been designed to allow students to appreciate that business is an integral component of society and help them develop an understanding of the social and ethical issues concerning them.

The project work also aims to empower the teacher to relate all the concepts with what is happening around the world and the student’s surroundings, making them appear clearer and more contextual. This will enable the student to enjoy studies and use his free time effectively in observing what’s happening around.

By means of Project Work the students are exposed to life beyond textbooks giving them opportunities to refer materials, gather information, analyze it further to obtain relevant information and decide what matter to keep. One Project to be done throughout the session, as per the existing scheme.

Objectives

After doing the Project Work in Business Studies, the students will be able to do the following:

Probe deeper into personal enquiry, initiate action and reflect on knowledge and skills, views etc. acquired during the course of Class XII.

Analyze and evaluate real world scenarios using theoretical constructs and arguments

Demonstrate the application of critical and creative thinking skills and abilities to produce an independent and extended piece of work.

Follow up aspects in which learners have interest.

Develop the communication skills to argue logically.

How to Use CBSE Class 12 Business Study Syllabus

To make study easy we have mentioned a few things that students should remember while studying as per the CBSE Class 12 Business Studies Syllabus.

Students must study according to the CBSE syllabus class 12 from NCERT Books. Following NCERT book will make the students understand the concept in depth.

Follow reference books to make the study easy.

It is important to understand the meaning of the concept and the purpose of that concept.

As there are many points to remember, make a note of each concept that you have understood and kept it for future reference.

The advance study helps and will give adequate time for revision.

Solve previous year and business studies class 12 sample papers. This will help you to manage time and understand the question pattern.

Business studies for Class 12 is an advanced level of previous class. Students had studied the basic fundamental aspects of the subject in previous class and in Class 12 they will study the progressed degree of concepts.

Class 12 Business Studies syllabus provides a broad degree of illustrative examples; which helps the students to comprehend and learn quickly. The above mentioned is the syllabus for Class 12 Business Studies.

Economics Syllabus For Class 12

Class 12 Economics provides a wide range of concepts and advanced information regarding the subject which includes all the questions provided in the CBSE Class 11 Economics Syllabus. Economics concentrates on how governments, business, households, societies and individuals make choices about when, where and how to use their natural resources at its best. It is a study that deals with many abstract and ideal blueprints to study the action and foretell how institutions will adapt to given changes in fiscal policies and market conditions, among other factors.

Economics for Class 12 is an enhanced level of Class 11. In previous classes, we study the basic fundamental aspects of the subject. In Class 12 it is an advanced degree of those concepts. Students can directly access the CBSE Economics Syllabus for Class 12 academic years by clicking on the link above.

Term 1 CBSE Class 12 Economics Syllabus with Marks Distribution 2021-22

Theory: 40 Marks

Time: 90 Minutes

Units	Introductory Macroeconomics	Marks	Periods
Part A	Introductory Macroeconomics
	Money and Banking	6	8
	Government Budget and the Economy	6	15
	Balance of Payments	6	7
	Sub Total	18	30
Part B	Indian Economic Development
	Development Experience (1947-90) and Economic Reforms since 1991: Indian Economy on the eve of Independence Indian Economy (1950-90) Liberalization, Privatization and Globalization : An Appraisal	12	28
	Current challenges facing Indian Economy Poverty Human Capital Formation Rural development	10	17
	Sub Total	22	45
	Total Theory Paper	40	75
	Project Work	10

Part A: Introductory Macroeconomics

Unit 2: Money and Banking

Money – meaning and supply of money – Currency held by the public and net demand deposits held by commercial banks. Money creation by the commercial banking system. Central bank and its functions (example of the Reserve Bank of India): Bank of issue, Govt. Bank, Banker’s Bank.

Unit 4: Government Budget and the Economy

Government budget – meaning, objectives and components. Classification of receipts – revenue receipts and capital receipts; classification of expenditure – revenue expenditure and capital expenditure. Measures of government deficit – revenue deficit, fiscal deficit, primary deficit their meaning.

Unit 5: Balance of Payments

Balance of payments account – meaning and components; balance of payments deficit meaning. Foreign exchange rate – meaning of fixed and flexible rates and managed floating

Part B: Indian Economic Development

Unit 6: Development Experience (1947-90) and Economic Reforms since 1991

A brief introduction of the state of Indian economy on the eve of independence. Indian economic system and common goals of Five-Year Plans. Main features, problems and policies of agriculture (institutional aspects and new agricultural strategy), industry (IPR 1956; SSI – role & importance) and foreign trade.

Economic Reforms since 1991: Features and appraisals of liberalization, globalization and privatization (LPG policy); Concepts of demonetization and GST

Unit 7: Current challenges facing Indian Economy

Poverty- absolute and relative; Main programs for poverty alleviation: A critical assessment.

Human Capital Formation: How people become resource; Role of human capital in economic development.

Rural development: Key issues – credit and marketing – role of cooperatives; agricultural diversification.

Term 2 CBSE Class 12 Economics Syllabus with Marks Distribution 2021-22

Theory: 40 Marks

Time: 2 Hours

Units	Term 1 – Subjective Question Paper	Marks	Periods
Part A	Introductory Macroeconomics
	National Income and Related Aggregates	10	23
	Determination of Income and Employment	12	22
	Sub Total	22	45
Part B	Indian Economic Development
	Current Challenges facing Indian Economy Employment Infrastructure Sustainable Economic Development	12	18
	Development Experience of India – A Comparison with Neighbors Comparative Development Experience of India and its Neighbors	6	12
	Sub Total	18	30
	Grand Total	40	75
	Project Work	10

Part A: Introductory Macroeconomics

Unit 1: National Income and Related Aggregates

What is Macroeconomics?

Basic concepts in macroeconomics: consumption goods, capital goods, final goods, intermediate goods; stocks and flows; gross investment and depreciation. Circular flow of income (two sector model); Methods of calculating National Income – Value Added or Product method, Expenditure method, Income method. Aggregates related to National Income: Gross National Product (GNP), Net National Product (NNP), Gross Domestic Product (GDP) and Net Domestic Product (NDP) – at market price, at factor cost; Real and Nominal GDP. GDP and Welfare

Unit 3: Determination of Income and Employment

Aggregate demand and its components. Propensity to consume and propensity to save (average and marginal). Short-run equilibrium output; investment multiplier and its mechanism. Meaning of full employment and involuntary unemployment. Problems of excess demand and deficient demand; measures to correct them – changes in government spending, taxes and money supply through Bank Rate, CRR, SLR, Repo Rate and Reverse Repo Rate, Open Market Operations, Margin requirement.

Part B: Indian Economic Development

Unit 7: Current challenges facing Indian Economy

Employment: Growth and changes in work force participation rate in formal and informal sectors; problems and policies

Infrastructure: Meaning and Types: Case Studies: Health: Problems and Policies – A critical assessment.

Sustainable Economic Development: Meaning, Effects of Economic Development on Resources and Environment, including global warming

Unit 8: Development Experience of India

A comparison with neighbors India and Pakistan India and China Issues: economic growth, population, sectoral development and other Human Development Indicators

Part C: Project in Economics

Prescribed Books:

Statistics for Economics, NCERT

Indian Economic Development, NCERT

Introductory Microeconomics, NCERT

Macroeconomics, NCERT

Supplementary Reading Material in Economics, CBSE

Guidelines for Project Work in Economics (Class XII)

The objectives of the project work are to enable learners to:

Probe deeper into theoretical concepts learnt in classes XI and XII

Analyze and evaluate real world economic scenarios using theoretical constructs and arguments

Demonstrate the learning of economic theory

Follow up aspects of economics in which learners have interest

Develop the communication skills to argue logically

Role of the teacher:

The teacher plays a critical role in developing thinking skills of the learners. A teacher should:

Help each learner select the topic based on recently published extracts from the news media, government policies, RBI bulletin, NITI Aayog reports, IMF/World Bank reports etc., after detailed discussions and deliberations of the topic

Play the role of a facilitator and supervisor to monitor the project work of the learner through periodic discussions

Guide the research work in terms of sources for the relevant data

Educate learner about plagiarism and the importance of quoting the source of the information to ensure authenticity of research work

Prepare the learner for the presentation of the project work

Arrange a presentation of the project file

Expected Checklist:

Introduction of topic/title

Identifying the causes, consequences and/or remedies

Various stakeholders and effect on each of them

Advantages and disadvantages of situations or issues identified

Short-term and long-term implications of economic strategies suggested in the course of research

Validity, reliability, appropriateness and relevance of data used for research work and for presentation in the project file

Presentation and writing that is succinct and coherent in project file

Citation of the materials referred to, in the file in footnotes, resources section, bibliography etc.

Term-Wise Assessment of Project Work:

Project Work has broadly the following phases: Synopsis/ Initiation, Data Collection, Data Analysis and Interpretation, Conclusion.

The aspects of the project work to be covered by students can be assessed during the two terms.

20 marks assigned for Project Work can be divided in to two terms.

Mode of presentation/submission of the Project:

At the end of the stipulated term, each learner will present the research work in the Project File to the External and Internal examiner. The questions should be asked from the Research Work/ Project File of the learner. The Internal Examiner should ensure that the study submitted by the learner is his/her own original work. In case of any doubt, authenticity should be checked and verified.

CBSE Class 12 Economics Term – I Project Work (Part 1): 10 Marks

The teacher will assess the progress of the project work in the term I in the following manner:

Month	Periodic Work	Assessment Rubrics	Marks
1-3 July-September	Instructions about Project Guidelines, Background reading Discussions on Theme and Selection of the Final Topic, Initiation/ Synopsis	Introduction, Statement of Purpose/Need and Objective of the Study, Hypothesis/Research Question, Review of Literature, Presentation of Evidence, Key Words, Methodology, Questionnaire, Data Collection.	5
4-5 October-November	Planning and organization: forming an action plan, feasibility or baseline study, Updating/modifying the action plan, Data Collection	Significance and relevance of the topic; challenges encountered while conducting the research.	5
October-November	Mid-term Assessment by internal examiner		10

CBSE Class 12 Economics Term – II Project Work (Part 1): 10 Marks

The teacher will assess the progress of the project work in the term I in the following manner:

Month	Periodic Work	Assessment Rubrics	Marks
6-7 December-January	Content/data analysis and interpretation. Conclusion, Limitations, Suggestions, Bibliography, Annexures and Overall Presentation of the project.	Content analysis and its relevance in the current scenario. Conclusion, Limitations, Bibliography, Annexures and Overall Presentation.	5
8 January/ February	Final Assessment and VIVA by both Internal and External Examiners	External/ Internal Viva based on the project	5
		Total	10

Suggestive List of Projects for Class 12

Micro and Small-Scale Industries

Food Supply Channel in India

Contemporary Employment situation in India

Disinvestment policy of the government

Goods and Services Tax Act and its Impact on GDP

Health Expenditure (of any state)

Human Development Index

Inclusive Growth Strategy

Self-help group

Trends in Credit availability in India

Monetary policy committee and its functions

Role of RBI in Control of Credit

Government Budget & its Components

Trends in budgetary condition of India

Exchange Rate determination – Methods and Techniques

Currency War – reasons and repercussions

Livestock – Backbone of Rural India

Alternate fuel – types and importance

Sarwa Shiksha Abhiyan – Cost Ratio Benefits

Golden Quadrilateral- Cost ratio benefit

Minimum Support Prices x Relation between Stock Price Index and Economic Health of Nation

Waste Management in India – Need of the hour

Minimum Wage Rate – approach and Application

Digital India- Step towards the future

Rain Water Harvesting – a solution to water crises

Vertical Farming – an alternate way

Silk Route- Revival of the past

Make in India – The way ahead

Bumper Production- Boon or Bane for the farmer

Rise of Concrete Jungle- Trend Analysis

Organic Farming – Back to the Nature

Any other newspaper article and its evaluation on basis of economic principles

Any other topic

Note: Class 12 Economics provides a broad degree of illustrative examples, which help the students to comprehend and learn quickly. The above mentioned is the syllabus for Class 12 Economics.

CBSE Class 12 Maths Syllabus

One Paper

(2022-23)

Max Marks: 80

No.	Units	No. of Periods	Marks
I.	Relations and Functions	30	08
II.	Algebra	50	10
III.	Calculus	80	35
IV.	Vectors and Three - Dimensional Geometry	30	14
V.	Linear Programming	20	5
VI.	Probability	30	8
	Total	240	80
	Internal Assessment		20

Unit-I: Relations and Functions

Relations and Functions (15 Periods)

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

Inverse Trigonometric Functions (15 Periods)

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit-II: Algebra

Matrices (25 Periods)

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Determinants (25 Periods)

Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

Continuity and Differentiability (20 Periods)

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin−1 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

Applications of Derivatives (10 Periods)

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real- life situations).

Integrals (20 Periods)

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
dx dx dx dx dx ∫ x2 ± a2, ∫ √x2 ± a2 , ∫ √a2 − x2 , ∫ ax2 + bx + c , ∫ √ 2+bX+c
px + q ∫ ax2 + bx + c
px + q dx, ∫ dx, ∫ √a2 ± x2 dx, ∫ √x2 − a2 dx √ax2+bx + c
∫ √𝑎𝑥2 + 𝑏𝑥 + 𝑐 𝑑𝑥,
Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

Unit-IV: Vectors and Three-Dimensional Geometry

Vectors (15 Periods)

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

Three - dimensional Geometry (15 Periods)

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Unit-V: Linear Programming

Linear Programming (20 Periods)

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Linear Programming (20 Periods)

Unit-VI: Probability

Probability (30 Periods)

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

MATHEMATICS (Code No. - 041)

QUESTION PAPER DESIGN CLASS - XII

(2022-23)

Time: 3 hours

Max. Marks: 80

S.No.	Typology of Questions	Total Marks	%Weightag
1	Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas	44	55
2	Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	20	25
3	Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions	16	20
	Total	80	100

No chapter wise weightage. Care to be taken to cover all the chapters
Suitable internal variations may be made for generating various templates keeping the overall weightage to different form of questions and typology of questions same.

Choice(s):

There will be no overall choice in the question paper.
However, 33% internal choices will be given in all the sections

INTERNAL ASSESSMENT	20 MARKS
Periodic Tests ( Best 2 out of 3 tests conducted)	10 Marks
Mathematics Activities	10 Marks

Note: For activities NCERT Lab Manual may be referred.

Conduct of Periodic Tests:

Periodic Test is a Pen and Paper assessment which is to be conducted by the respective subject teacher. The format of periodic test must have questions items with a balance mix, such as, very short answer (VSA), short answer (SA) and long answer (LA) to effectively assess the knowledge, understanding, application, skills, analysis, evaluation and synthesis. Depending on the nature of subject, the subject teacher will have the liberty of incorporating any other types of questions too. The modalities of the PT are as follows:

Mode: The periodic test is to be taken in the form of pen-paper test.
Schedule: In the entire Academic Year, three Periodic Tests in each subject may be conducted as follows:

Test	Pre Mid-term (PT-I)	Mid-Term (PT-II)	Post Mid-Term (PT-III)
Tentative Month	July-August	November	December-January

This is only a suggestive schedule and schools may conduct periodic tests as per their convenience. The winter bound schools would develop their own schedule with similar time gaps between two consecutive tests.

Average of Marks: Once schools complete the conduct of all the three periodic tests, they will convert the weightage of each of the three tests into ten marks each for identifying best two tests. The best two will be taken into consideration and the average of the two shall be taken as the final marks for PT.
The school will ensure simple documentation to keep a record of performance as suggested in detail circular no.Acad-05/2017.
Sharing of Feedback/Performance: The students’ achievement in each test must be shared with the students and their parents to give them an overview of the level of learning that has taken place during different periods. Feedback will help parents formulate interventions (conducive ambience, support materials, motivation and morale-boosting) to further enhance learning. A teacher, while sharing the feedback with student or parent, should be empathetic, non- judgmental and motivating. It is recommended that the teacher share best examples/performances of IA with the class to motivate all learners.

Assessment of Activity Work

Throughout the year any 10 activities shall be performed by the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) which is available on the NCERT website record of the same may be kept by the student. An year end test on the activity may be conducted

The weightage are as under:

The activities performed by the student throughout the year and record keeping : 5 marks

Assessment of the activity performed during the year end test: 3 marks

Viva-voce: 2 marks

Prescribed Books:

Mathematics Textbook for Class XI, NCERT Publications

Mathematics Part I - Textbook for Class XII, NCERT Publication

Mathematics Part II - Textbook for Class XII, NCERT Publication

Mathematics Exemplar Problem for Class XI, Published by NCERT

Mathematics Exemplar Problem for Class XII, Published by NCERT

Mathematics Lab Manual class XI, published by NCERT

Mathematics Lab Manual class XII, published by NCERT

Class 12 Informatics Practices

Prerequisite : Informatics Practices – Class XI

Learning Outcomes

At the end of this course, students will be able to:

Create Series, Data frames and apply various operations.
Perform aggregation operations, calculate descriptive statistics.
Visualize data using relevant graphs.
Design SQL queries using aggregate functions.
Import/Export data between SQL database and Pandas.
Learn terminology related to networking and the internet.
Identify internet security issues and configure browser settings.
Explain the impact of technology on society including gender and disability issues.

Distribution of Marks and Periods

Unit No.	Unit Name	Marks	Periods Theory	Periods Practical	Total Period
1	Data Handling using Pandas and Data Visualization	30	50	40	90
2	Database Query using SQL	25	30	22	52
3	Introduction to Computer Networks	7	12	2	14
4	Societal Impacts	8	14	-	14
	Project	-	-	10	10
	Practical	30	-	-	-
	Total	100	106	74	180

Unit Wise syllabus

Unit 1: Data Handling using Pandas and Data Visualization Data Handling using Pandas -I

Introduction to Python libraries- Pandas, Matplotlib.

Data structures in Pandas - Series and data frames.

Series: Creation of series from ndarray, dictionary, scalar value; mathematical operations; series attributes, head and tail functions; selection, indexing and slicing.

Data Frames: creation of data frames from dictionary of series, list of dictionaries, text/CSV files, display, iteration. Operations on rows and columns: add add ( insert /append) , select, delete (drop column and row), rename, Head and Tail functions, indexing using labels, Boolean indexing; joining, merging and concatenation of data frames.

Importing/Exporting Data between CSV files and Data Frames. (for practicals only)

Data handling using Pandas – II Descriptive Statistics: max, min, count, sum, mean, median, mode, quartile, Standard deviation, variance. Data Frame operations: Aggregation, group by, Sorting, Deleting and Renaming Index, Pivoting. Handling missing values – dropping and filling. Importing/Exporting Data between MySQL database and Pandas.

Data Visualization : Purpose of plotting, drawing and saving of plots using Matplotlib (line plot, bar graph, histogram, pie chart, frequency polygon, box plot and scatter plot). Customizing plots: color, style (dashed, dotted), width; adding label, title, and legend in plots.

Unit 2: Database Query using SQL

Math functions: POWER (), ROUND (), MOD ().

Text functions: UCASE ()/UPPER (), LCASE ()/LOWER (), MID ()/SUBSTRING ()/SUBSTR (), LENGTH (), LEFT (), RIGHT (), INSTR (), LTRIM (), RTRIM (), TRIM ().

Date Functions: NOW (), DATE (), MONTH (), MONTHNAME (), YEAR (), DAY (), DAYNAME ().

Aggregate Functions: MAX (), MIN (), AVG (), SUM (), COUNT (); using COUNT (*).

Querying and manipulating data using Group by, Having, Order by. Operations on Relations - Union, Intersection, Minus, Cartesian Product, JOIN (Cartesian Join, Equi Join, Natural Join)

Unit 3: Introduction to Computer Networks

Introduction to networks, Types of network: LAN, MAN, WAN.

Network Devices: modem, hub, switch, repeater, router, gateway

Network Topologies: Star, Bus, Tree, Mesh.

Introduction to Internet, URL, WWW and its applications- Web, email, Chat, VoIP.

Website: Introduction, difference between a website and webpage, static vs dynamic web page, web server and hosting of a website.

Web Browsers: Introduction, commonly used browsers, browser settings, add-ons and plug-ins, cookies.

Unit 4: Societal Impacts

Digital footprint, net and communication etiquettes, data protection, intellectual property rights (IPR), plagiarism, licensing and copyright, free and open source software (FOSS), cybercrime and cyber laws, hacking, phishing, cyber bullying, overview of Indian IT Act. E-waste: hazards and management.

Awareness about health concerns related to the usage of technology.

Project Work

The aim of the class project is to create tangible and useful IT applications. The learner may identify a real- world problem by exploring the environment. e.g. Students can visit shops/business places, communities or other organizations in their localities and enquire about the functioning of the organization, and how data are generated, stored and managed. The learner can take data stored in a csv or database file and analyze it using Python libraries and generate appropriate charts to visualize. If an organization is maintaining data offline, then the learner should create a database using MySQL and store the data in tables. Data can be imported in Pandas for analysis and visualization. Learners can use Python libraries of their choice to develop software for their school or any other social good. Learners should be sensitized to avoid plagiarism and violation of copyright issues while working on projects. Teachers should take necessary measures for this. Any resources (data, image etc.) used in the project must be suitably referenced.

The project can be done individually or in groups of 2 to 3 students. The project should be started by students at least 6 months before the submission deadline.

Distribution of Practical Marks

Sl.No.	Unit Name	Marks
1	Programs using Pandas and Matplotlib	8
2	SQL Queries	5
3	Practical file (minimum of 20 programs based on Pandas , 5 based on Matplotlib and 20 SQL queries must be included)	5
4	Project Work (using concepts learned in class XI and XII)	7
5	Viva-Voce	5
	Total	30

Suggested Practical List

Data Handling

Create a pandas series from a dictionary of values and an ndarray

Given a Series, print all the elements that are above the 75th percentile.

Create a Data Frame quarterly sales where each row contains the item category, item name, and expenditure. Group the rows by the category, and print the total expenditure per category.

Create a data frame based on ecommerce data and generate descriptive statistics (mean, median, mode, quartile, and variance)

Create a data frame for examination result and display row labels, column labels data types of each column and the dimensions

Filter out rows based on different criteria such as duplicate rows..

Find the sum of each column, or find the column with the lowest mean.

Locate the 3 largest values in a data frame.

Subtract the mean of a row from each element of the row in a Data Frame.

Replace all negative values in a data frame with a 0.

Replace all missing values in a data frame with a 999.

Importing and exporting data between pandas and CSV file

Importing and exporting data between pandas and MySQL database

Visualization

Given the school result data, analyse the performance of the students on different parameters, e.g subject wise or class wise.

For the Data frames created above, analyze and plot appropriate charts with title and legend.

Take data of your interest from an open source (e.g. data.gov.in), aggregate and summarize it. Then plot it using different plotting functions of the Matplotlib library.

Data Management

Create a student table with the student id, name, and marks as attributes where the student id is the primary key.

Insert the details of a new student in the above table.

Delete the details of a particular student in the above table.

Use the select command to get the details of the students with marks more than 80.

Create a new table (order ID, customer Name, and order Date) by joining two tables (order ID, customer ID, and order Date) and (customer ID, customer Name, contact Name, country).

Create a foreign key in one of the two tables mentioned above

Find the min, max, sum, and average of the marks in a student marks table.

Find the total number of customers from each country in the table (customer ID, customer Name, country) using group by.

Create a new table (name, date of birth) by joining two tables (student id, name) and (student id, date of birth).

Write a SQL query to order the (student ID, marks) table in descending order of the marks.

Introduction to Computer Networks

27. Download, install and configure browser.

Term 1 CBSE Class 12 Accountancy Syllabus and Marks Distribution 2021-22

Unit: Accounting for Partnership Firms Units/Topics

Unit-3 Accounting for Companies

Learning Outcomes

OR

Part B: Computerized Accounting

Term 2 CBSE Class 12 Accountancy Syllabus and Marks Distribution 2021-22

Unit : Accounting for Not – For Profit Organizations

Unit : Accounting for Partnership Firms

Unit – Accounting for Companies

Unit: Analysis of Financial Statements

Unit: Cash Flow Statement

OR

Unit : computerized Accounting

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CBSE Class 12 Business Studies Syllabus for Term 1

Unit 1: Nature and Significance of Management

Unit 2: Principles of Management

Unit 3: Business Environment

Unit 4: Planning

Unit 5: Organizing

Unit 11: Marketing

CBSE Class 12 Business Studies Syllabus for Term 2

Unit 6: Staffing

Unit 7: Directing

Unit 8: Controlling

Unit 9: Financial Management

Unit 10: Financial Markets

Unit 12: Consumer Protection

Unit 13: Project Work

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Term 1 CBSE Class 12 Economics Syllabus with Marks Distribution 2021-22

Unit 2: Money and Banking

Unit 4: Government Budget and the Economy

Unit 5: Balance of Payments

Unit 6: Development Experience (1947-90) and Economic Reforms since 1991

Unit 7: Current challenges facing Indian Economy

Term 2 CBSE Class 12 Economics Syllabus with Marks Distribution 2021-22

Unit 1: National Income and Related Aggregates

Unit 3: Determination of Income and Employment

Unit 7: Current challenges facing Indian Economy

Unit 8: Development Experience of India

Guidelines for Project Work in Economics (Class XII)

Role of the teacher:

Expected Checklist:

Term-Wise Assessment of Project Work:

Mode of presentation/submission of the Project:

CBSE Class 12 Economics Term – I Project Work (Part 1): 10 Marks

CBSE Class 12 Economics Term – II Project Work (Part 1): 10 Marks

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Relations and Functions (15 Periods)

Inverse Trigonometric Functions (15 Periods)

Matrices (25 Periods)

Determinants (25 Periods)

Continuity and Differentiability (20 Periods)

Applications of Derivatives (10 Periods)

Integrals (20 Periods)

Vectors (15 Periods)

Three - dimensional Geometry (15 Periods)

Linear Programming (20 Periods)

Linear Programming (20 Periods)

Probability (30 Periods)

MATHEMATICS (Code No. - 041)

Choice(s):

Conduct of Periodic Tests:

Prescribed Books:

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Learning Outcomes

Distribution of Marks and Periods

Unit 1: Data Handling using Pandas and Data Visualization Data Handling using Pandas -I

Unit 2: Database Query using SQL

Unit 3: Introduction to Computer Networks

Unit 4: Societal Impacts

Project Work

Distribution of Practical Marks

Data Handling

Visualization

Data Management

Introduction to Computer Networks

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