Academic year:
Units and Topics
# | Unit/Topic | Marks |
---|---|---|
100 | Number Systems | - |
200 | Algebra | - |
300 | Coordinate Geometry | - |
400 | Geometry | - |
500 | Mensuration | - |
600 | Statistics and Probability | - |
Total | - |
Syllabus
100 Number Systems
101 Number Systems
200 Algebra
201 Polynomials
202 Linear Equations in Two Variables
203 Algebraic Expressions
- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression
204 Algebraic Identities
- Algebraic Identities
( a + b )2 = a2 + 2ab + b2 .
300 Coordinate Geometry
400 Geometry
401 Introduction to Euclid’S Geometry
402 Lines and Angles
403 Triangles
404 Quadrilaterals
- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Another Condition for a Quadrilateral to Be a Parallelogram
- The Mid-point Theorem
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- Properties of a Parallelogram
405 Area
406 Circles
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Angle Subtended by a Chord at a Point
- Perpendicular from the Centre to a Chord
- Circles Passing Through One, Two, Three Points
- Equal Chords and Their Distances from the Centre
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilateral
500 Mensuration
501 Areas - Heron’S Formula
- Area of a Triangle
- Area of a Triangle by Heron's Formula
- Collinearity of three points
- Application of Heron’s Formula in Finding Areas of Quadrilaterals
Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.
502 Surface Areas and Volumes
- Surface Area of a Cuboid
- Surface Area of Cylinder
- Right Circular Cylinder
- Hollow Cylinder
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere
- Volume of a Cuboid
- Volume of a Cylinder
- Volume of a Right Circular Cone
- Volume of a Sphere
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.
600 Statistics and Probability
601 Statistics
- Concepts of Statistics
- Collecting Data
- Presentation of Data
- Graphical Representation of Data
- Bar graph
- Pie graph
- Histogram
- Measures of Central Tendency
- Mean , Median , Mode
- Quartile , Inter quartile
602 Probability
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