Academic year:
Units and Topics
# | Unit/Topic | Marks |
---|---|---|
1 | Geometrical Constructions | - |
2 | Multiplication and Division of Integers | - |
3 | HCF and LCM | - |
4 | Angles and Pairs of Angles | - |
5 | Operations on Rational Numbers | - |
6 | Indices | - |
7 | Joint Bar Graph | - |
8 | Algebraic Expressions and Operations on Them | - |
9 | Direct Proportion and Inverse Proportion | - |
10 | Banks and Simple Interest | - |
11 | Circle | - |
12 | Perimeter and Area | - |
13 | Pythagoras’ Theorem | - |
14 | Algebraic Formulae - Expansion of Squares | - |
15 | Statistics | - |
Total | - |
Syllabus
1 Geometrical Constructions
- Constructing a Bisector of an Angle
- Drawing a Perpendicular to a Line at a Point on the Line
- Method using ruler and compasses
- Method using a ruler and a set-square
- Method using a ruler and a protractor
- The Property of the Angle Bisectors of a Triangle
- Incentre
- Perpendicular Bisectors of the Sides of an Acute-angled Triangle
- Perpendicular Bisectors of the Sides of an Obtuse-angled Triangle
- Construct a Triangle Given the Lengths of Its Three Sides
- Construct a Triangle Given Two Sides and the Angle Included by Them
- Construct a Triangle Given Two Angles and the Included Side
- Construct a Right-angled Triangle Given the Hypotenuse and One Side
- Congruence Among Line Segments
- Congruence of Angles
- Congruence of Circles
2 Multiplication and Division of Integers
- Concept for Natural Numbers
- Concept for Whole Numbers
- Concept of Negative Numbers
- Concept of Integers
- Addition of Integers
- Addition of Integers on Number line
- Subtraction of Integers
- Subtraction of Integers
- Subtraction of Integers on a Number Line
- Multiplication of a Positive and a Negative Integers
- Multiplication of Two Negative Integers
- Division of Integers
3 HCF and LCM
4 Angles and Pairs of Angles
- Concept of Angle - Arms, Vertex, Interior and Exterior Region
- Related Angles
- Interior Angles of a Polygon
- Exterior Angle of a Triangle and Its Property
- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
- The sum of exterior angles of a triangle is 360°.
5 Operations on Rational Numbers
- Concept of Rational Numbers
- Addition of Rational Number
- Additive Inverse of Rational Number
- Subtraction of Rational Number
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Decimal Representation of Rational Numbers
- Bodmas Rules for Simplifying an Expression
6 Indices
7 Joint Bar Graph
8 Algebraic Expressions and Operations on Them
- Algebraic Expressions
- Variable
- Constant
- Algebraic Expressions
- Value of Expression
- Number line and an expression
- Terms, Factors and Coefficients of Expression
- Like and Unlike Terms
- Types of Algebraic Expressions as Monomials, Binomials, Trinomials Or Polynomials
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Equations in One Variable
9 Direct Proportion and Inverse Proportion
10 Banks and Simple Interest
- Bank
- Bank
- Types of bank account
- Concept of Principal, Interest, Amount, and Simple Interest
- Simple Interest for one year
- Simple Interest for multiple years
11 Circle
12 Perimeter and Area
13 Pythagoras’ Theorem
14 Algebraic Formulae - Expansion of Squares
15 Statistics
- Concepts of Statistics
- Concept of Representative Values - Average
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table:
- Grouped Frequency Distribution Table:
- Inclusive Frequency Distribution
- Exclusive Frequency Distribution
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