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$\int {\frac{2x^2+3}{\sqrt{3x^2-9x+6}}} \, dx$
Silabus Matematika CBSE 2023-24
Central Board of Secondary Education (CBSE) / Dewan Pusat Pendidikan Menengah adalah dewan pendidikan tingkat nasional di India untuk sekolah negeri dan swasta, dikendalikan dan dikelola oleh Pemerintah India.
Silabus Matematika Kelas 3
Matematika adalah salah satu mata pelajaran terpenting di Kelas 3. CBSE terkenal karena silabusnya yang dirancang dengan baik. Dewan mengambil langkah-langkah yang tepat untuk membuat proses belajar siswa berguna dan nyaman. Silabus CBSE Matematika Kelas 3 dibuat sedemikian rupa untuk mengembangkan dan memperkuat kemampuan logika dan berpikir siswa.
| Unit | Unit Name | Section |
| 1 | Geometry | Shapes and Spatial Understanding |
| 2 | Numbers | Number Sequence Up to 1000 Addition and Subtraction Multiplication Division Mental Arithmetic |
| 3 | Money | Money |
| 4 | Measurement | Length Weight Volume Time |
| 5 | Data Handling | Data Handling |
| 6 | Patterns | Patterns |
Silabus CBSE untuk Matematika Kelas 3 mencakup topik-topik berikut.
Chapter 1: Where to Look From
Chapter 2: Fun With Numbers
Chapter 3: Give and Take
Chapter 4: Long and Short
Chapter 5: Shapes and Designs
Chapter 6: Fun With Give and Take
Chapter 7: Time Goes On
Chapter 8: Who is Heavier?
Chapter 9: How Many Times?
Chapter 10: Play With Patterns
Chapter 11: Jugs and Mugs
Chapter 12: Can We Share?
Chapter 13: Smart Charts!
Chapter 14: Rupees and Paise
Silabus Matematika Kelas 4
Siswa akan mempelajari topik-topik berikut dalam silabus Matematika Kelas 4.
Nama Bab Silabus Matematika Kelas 4 CBSE sebagai berikut.
| Sl. No. | Chapter Name |
| 1. | Building with Bricks |
| 2. | Long and Short |
| 3. | A Trip to Bhopal |
| 4. | Tick-Tick-Tick |
| 5. | The Way The World Looks |
| 6. | The Junk Seller |
| 7. | Jugs and Mugs |
| 8. | Carts and Wheels |
| 9. | Halves and Quarters |
| 10. | Play with Patterns |
| 11. | Tables and Shares |
| 12. | How Heavy? How Light? |
| 13. | Fields and Fences |
| 14. | Smart Charts |
Silabus Matematika Kelas 5
Di bawah ini Anda akan melihat silabus Matematika untuk siswa Kelas 5.
| Unit | Unit Names | Sections |
| I | Geometry | Shapes and Spatial Understanding |
| II | Numbers | Numbers and Operations Mental Arithmetic Fractional Numbers |
| III | Money | Money |
| IV | Measurement | Length |
| V | Data Handling | Data Handling |
| VI | Patterns | Patterns |
Topik-topik yang akan dipelajari sebagai berikut.
| UNIT | Chapter Name |
| Lesson 1 | The Fish Tale |
| Lesson 2 | Shapes and Angles |
| Lesson 3 | How Many Squares? |
| Lesson 4 | Parts and Wholes |
| Lesson 5 | Does it Look the Same? |
| Lesson 6 | Be My Multiple,I’ll be Your Factor |
| Lesson 7 | Can You See the Pattern? |
| Lesson 8 | Mapping Your Way |
| Lesson 9 | Boxes and Sketches |
| Lesson 10 | Tenths and Hundredths |
| Lesson 11 | Area and its Boundary |
| Lesson 12 | Smart Charts |
| Lesson 13 | Ways to Multiply and Divide |
| Lesson 14 | How Big? How Heavy? |
Silabus Matematika Kelas 6
Silabus CBSE untuk Matematika Kelas 6 dirilis oleh dewan CBSE untuk memberikan siswa pendidikan yang berkualitas. Identifikasi silabus pada awal tahun akademik membantu siswa dalam merencanakan studi mereka. Juga, mereka mendapatkan ide tentang topik apa yang perlu mereka fokuskan.
CBSE telah memasukkan mata pelajaran ini ke dalam kurikulum Kelas 6 agar siswa Kelas 6 CBSE mengembangkan keterampilan analitis dan berpikir untuk memecahkan masalah secara akurat. Dengan bantuan Silabus Matematika Kelas 6 CBSE, siswa akan mendapatkan ide yang jelas dan pemahaman yang lebih baik tentang topik tersebut.
Topik Silabus Matematika Kelas 6 CBSE sebagai berikut.
| No | Unit Name | Section |
| 1 | Number System | Knowing Your Numbers Playing with Numbers Whole numbers Negative Numbers and Integers Fractions |
| 2 | Algebra | Introduction to Algebra |
| 3 | Ratio and Proportion | Ratio and Proportion |
| 4 | Geometry | Basic geometrical ideas (2 -D) Understanding Elementary Shapes (2-D and 3-D) Symmetry Constructions (using Straight edge Scale, protractor, compasses) |
| 5 | Mensuration | Concept of Perimeter and Introduction to Area |
| 6 | Data Handling | Data Handling |
Tabel di bawah menunjukkan nama bab dan topik setiap bab.
| Chapter Names | Topics |
| Chapter 1: Knowing Our Numbers | 1.1 Introduction
1.2 Comparing Numbers
1.3 Large Numbers in Practice
1.4 Using Brackets
1.5 Roman Numerals |
| Chapter 2: Whole Numbers | 2.1 Introduction
2.2 Whole Numbers
2.3 The Number Line
2.4 Properties Of Whole Numbers
2.5 Patterns in Whole Numbers |
| Chapter 3: Playing With Numbers | 3.1 Introduction
3.2 Factors and Multiples
3.3 Prime and Composite Numbers
3.4 Test For Divisibility Of Numbers
3.5 Common Factors and Common Multiples
3.6 Some More Divisibility Rules
3.7 Prime Factorisation
3.8 Highest Common Factor
3.9 Lowest Common Multiple
3.10 Some Problems on HCF and LCM |
| Chapter 4: Basic Geometrical Ideas | 4.1 Introduction
4.2 Points
4.3 A Line Segment
4.4 A line
4.5 Intersecting Lines
4.6 Parallel Lines
4.7 Ray
4.8 Curves
4.9 Polygons
4.10 Angles
4.11 Triangles
4.12 Quadrilaterals
4.13 Circles |
| Chapter 5: Understanding Elementary Shapes | 5.1 Introduction
5.2 Measuring Line Segments
5.3 Angles-’Right’ and ‘Straight’
5.4 Angles- ‘Acute’, ‘Obtuse’ and ‘Reflex’
5.5 Measuring Angles
5.6 Perpendicular Lines
5.7 Classification of Triangles
5.8 Quadrilaterals
5.9 Polygons
5.10 Three Dimensional Shapes |
| Chapter 6: Integers | 6.1 Introduction
6.2 Integers
6.3 Addition of Integers
6.4 Subtraction of Integers with the help of a Number Line |
| Chapter 7: Fractions | 7.1 Introduction
7.2 A Fraction
7.3 Fraction on the Number Line
7.4 Proper Fractions
7.5 Improper and Mixed Fractions
7.6 Equivalent Fractions
7.7 Simplest Form of a Fraction
7.8 Like Fractions
7.9 Comparing Fractions
7.10 Addition and Subtraction of Fractions |
| Chapter 8: Decimals | 8.1 Introduction
8.2 Tenths
8.3 Hundredths
8.4 Comparing Decimals
8.5 Using Decimals
8.6 Addition of Numbers with Decimals
8.7 Subtraction of Decimals |
| Chapter 9: Data Handling | 9.1 Introduction
9.2 Recording Data
9.3 Organisation of Data
9.4 Pictograph
9.5 Interpretation of a Pictograph
9.6 Drawing a Pictograph
9.7 A Bar Graph |
| Chapter 10: Mensuration | 10.1 Introduction
10.2 Perimeter
10.3 Area |
| Chapter 11: Algebra | 11.1 Introduction
11.2 Matchstick Patterns
11.3 The Idea Of A Variable
11.4 More Matchstick Patterns
11.5 More Examples of Variables
11.6 Use Of Variables in Common Rules
11.7 Expressions with Variables
11.8 Using Expressions Practically
11.9 What is an Equation?
11.10 Solution of an Equation |
| Chapter 12: Ratio and Proportion | 12.1 Introduction
12.2 Ratio
12.3 Proportion
12.4 Unitary Method |
Silabus Matematika Kelas 7
Sangat penting bagi siswa untuk mengetahui silabus Matematika Kelas 7 CBSE secara menyeluruh. Soal ujian dirancang berdasarkan silabus.
Dalam ujian, pertanyaan dapat dipelintir dan ditanyakan dengan cara yang berbeda, tetapi semua pertanyaan akan diambil dari silabus kelas 7. Tidak ada pertanyaan yang keluar dari Silabus Kelas 7.
Silabus Matematika Kelas 7 CBSE ini merupakan silabus resmi yang dirilis oleh pengurus CBSE. Siswa yang bercita-cita untuk mendapatkan nilai bagus dalam ujian tahunan harus mempelajari semua topik di bawah ini.
Topik utama yang dicakup dalam Silabus Matematika Kelas 7 adalah sebagai berikut.
| Unit | Unit Name | Section |
| 1 | Number System | Knowing our Numbers
Fractions and rational numbers
Powers |
| 2 | Algebra | Algebraic Expressions |
| 3 | Ratio and Proportion | Ratio and Proportion |
| 4 | Geometry | Understanding shapes
Properties of triangles
Symmetry
Representing 3-D in 2-D
Congruence
Construction (Using scale, protractor, compass) |
| 5 | Mensuration | Area |
| 6 | Data Handling | Data Handling |
Tabel di bawah ini menunjukkan bab-bab yang tercantum dalam Silabus Matematika Kelas 7.
| UNIT No. | Unit Names |
| Chapter 1 | Integers |
| Chapter 2 | Fractions and Decimals |
| Chapter 3 | Data Handling |
| Chapter 4 | Simple Equations |
| Chapter 5 | Lines and Angles |
| Chapter 6 | The Triangle and its Properties |
| Chapter 7 | Comparing Quantities |
| Chapter 8 | Rational Numbers |
| Chapter 9 | Perimeter and Area |
| Chapter 10 | Algebraic Expressions |
| Chapter 11 | Exponents and Powers |
| Chapter 12 | Symmetry |
| Chapter 13 | Visualising Solid Shapes |
Silabus Matematika Kelas 8
| Unit | Unit Name | Sections |
| 1 | Number System | Rational Numbers Powers Squares, Square roots,
Cubes, Cube roots Playing with numbers |
| 2 | Algebra | Algebraic Expressions |
| 3 | Ratio and Proportion | Ratio and Proportion |
| 4 | Geometry | Understanding shapes Representing 3-D in 2-D Construction |
| 5 | Mensuration | Mensuration |
| 6 | Data Handling | Data Handling |
| 7 | Introduction to Graphs | Introduction to Graphs |
| Chapter 1: Rational Numbers | 1.1 Introduction
1.2 Properties of Rational Numbers
1.3 Representation of Rational Numbers on the Number Line
1.4 Rational Number between Two Rational Numbers
1.5 Word Problems |
| Chapter 2: Linear Equations in One Variable | 2.1 Introduction
2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
2.3 Some Applications
Solving Equations having the Variable on both sides
2.5 Some More Applications
2.6 Reducing Equations to Simpler Form
2.7 Equations Reducible to the Linear Form |
| Chapter 3: Understanding Quadrilaterals | 3.1 Introduction
3.2 Polygons
3.3 Sum of the Measures of the Exterior Angles of a Polygon
3.4 Kinds of Quadrilaterals
3.5 Some Special Parallelograms |
| Chapter 4: Data Handling | 5.1 Looking for Information
5.2 Organising Data
5.3 Grouping Data
5.4 Circle Graph or Pie Chart
5.5 Chance and Probability |
| Chapter 5: Squares and Square Roots | 6.1 Introduction
6.2 Properties of Square Numbers
6.3 Some More Interesting Patterns
6.4 Finding the Square of a Number
6.5 Square Roots
6.6 Square Roots of Decimals
6.7 Estimating Square Root |
| Chapter 6: Cubes and Cube Roots | 7.1 Introduction
7.2 Cubes
7.3 Cubes Roots |
| Chapter 7: Comparing Quantities | 8.1 Recalling Ratios and Percentages
8.2 Finding the Increase and Decrease Percent
8.3 Finding Discounts
8.4 Prices Related to Buying and Selling (Profit and Loss)
8.5 Sales Tax/Value Added Tax/Goods and Services Tax
8.6 Compound Interest
8.7 Deducing a Formula for Compound Interest
8.8 Rate Compounded Annually or Half Yearly (Semi Annually)
8.9 Applications of Compound Interest Formula |
| Chapter 8: Algebraic Expressions and Identities | 9.1 What are Expressions?
9.2 Terms, Factors and Coefficients
9.3 Monomials, Binomials and Polynomials
9.4 Like and Unlike Terms
9.5 Addition and Subtraction of Algebraic Expressions
9.6 Multiplication of Algebraic Expressions: Introduction
9.7 Multiplying a Monomial by a Monomial
9.8 Multiplying a Monomial by a Polynomial
9.9 Multiplying a Polynomial by a Polynomial
9.10 What is an Identity?
9.11 Standard Identities
9.12 Applying Identities |
| Chapter 9: Mensuration | 11.1 Introduction
11.2 Let us Recall
11.3 Area of Trapezium
11.4 Area of General Quadrilateral
11.5 Area of Polygons
11.6 Solid Shapes
11.7 Surface Area of Cube, Cuboid and Cylinder
11.8 Volume of Cube, Cuboid and Cylinder
11.9 Volume and Capacity |
| Chapter 10: Exponents and Powers | 12.1 Introduction
12.2 Powers with Negative Exponents
12.3 Laws of Exponents
12.4 Use of Exponents to Express Small Numbers in Standard Form |
| Chapter 11: Direct and Inverse Proportions | 13.1 Introduction
13.2 Direct Proportion
13.3 Inverse Proportion |
| Chapter 12: Factorisation | 14.1 Introduction
14.2 What is Factorisation?
14.3 Division of Algebraic Expressions
14.4 Division of Algebraic Expressions Continued (Polynomial / Polynomial)
14.5 Can you Find the Error? |
| Chapter 13: Introduction to Graphs | 15.1 Introduction
15.2 Linear Graphs
15.3 Some Applications |
Silabus Matematika Kelas 9
| Unit | Unit Name | Section |
| I | Number System | Real Numbers |
| II | Algebra | Polynomials Linear Equations in Two Variables |
| III | Coordinate Geometry | Coordinate Geometry |
| IV | Geometry | Introduction to Elucid’s Geometry Lines and Angles Triangles Quadrilaterals Circles |
| V | Mensuration | Areas Surface areas and volumes |
| VI | Statistics | Statistics |
Silabus Matematika Kelas 10
| Units | Unit Name | Sections |
| I | Number Systems | Real Number |
| II | Algebra | Polynomials Pair of Linear Equations in Two Variables Quadratic Equations Arithmetic Progressions |
| III | Coordinate Geometry | Coordinate Geometry |
| IV | Geometry | Triangles Circles |
| V | Trigonometry | Introduction to Trigonometry Trigonometric Identities Heights and Distances |
| VI | Mensuration | Areas Related to Circles Surface Areas and Volumes |
| VII | Statistics and Probability | Statistics Probability |
Silabus Matematika Kelas 11
Silabus CBSE untuk Matematika Kelas 11 untuk 2023-24 dirilis oleh dewan. Silabus Matematika Kelas 11 2023-24 terdiri dari 5 unit dengan nilai 80 untuk ujian teori.
Silabus Matematika Kelas 11 CBSE adalah sumber penting bagi siswa yang membantu mereka dalam persiapan ujian.
Silabus ini memberikan detail tentang struktur kursus, pola ujian, dan bobot nilai dalam ujian matematika.
Sebelum mempersiapkan ujian Matematika Kelas 11, siswa harus membaca silabus untuk mengetahui apa yang akan mereka pelajari untuk tahun pelajaran 2023-2024.
Mengacu pada Silabus Matematika akan berfungsi sebagai checklist bagi siswa CBSE Kelas 11.
Mereka dapat dengan cepat menganalisis topik yang telah mereka bahas dan topik yang harus mereka selesaikan.
No. | Units | Marks |
I. | Sets and Functions | 23 |
II. | Algebra | 25 |
III. | Coordinate Geometry | 12 |
IV. | Calculus | 08 |
V. | Statistics and Probability | 12 |
| Total Theory | 80 |
| Internal Assessment | 20 |
| Grand Total | 100 |
Silabus Matematika Kelas 12
| No. | Units | Marks |
| I. | Relations and Functions | 08 |
| II. | Algebra | 10 |
| III. | Calculus | 35 |
| IV. | Vectors and Three – Dimensional Geometry | 14 |
| V. | Linear Programming | 05 |
| VI. | Probability | 08 |
| Total Theory | 80 |
| Internal Assessment | 20 |
| Grand Total | 100 |
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