Academic year:
Units and Topics
| # | Unit/Topic | Marks |
|---|---|---|
| 1 | Basic Concepts in Geometry | - |
| 2 | Angles | - |
| 3 | Integers | - |
| 4 | Operations on Fractions | - |
| 5 | Decimal Fractions | - |
| 6 | Bar Graphs | - |
| 7 | Symmetry | - |
| 8 | Divisibility | - |
| 9 | HCF-LCM | - |
| 10 | Equations | - |
| 11 | Ratio and Proportion | - |
| 12 | Percentage | - |
| 13 | Profit –Loss | - |
| 14 | Banks and Simple Interest | - |
| 15 | Triangles and Their Properties | - |
| 16 | Quadrilaterals | - |
| 17 | Geometrical Constructions | - |
| 18 | Three Dimensional Shapes | - |
| Total | - |
Syllabus
1 Basic Concepts in Geometry
2 Angles
- Concept of Angle - Arms, Vertex, Interior and Exterior Region
- Types of Angles- Acute, Obtuse, Right, Straight, Reflex, Complete and Zero Angle.
- Introduction to Practical Geometry
- Constructing a Bisector of an Angle
- Constructing a Copy of an Angle of Unknown Measure
- Angles of Special Measures - 30°, 45°, 60°, 90°, and 120°
3 Integers
- Concept for Natural Numbers
- Concept for Whole Numbers
- Concept of Negative Numbers
- Concept of Integers
- Representation of Integers on the Number Line
- Concept for Ordering of Integers
- Addition of Integers
- Addition of Integers on Number line
- Additive Inverse
- Subtraction of Integers
- Subtraction of Integers
- Subtraction of Integers on a Number Line
4 Operations on Fractions
- Concept of Fractions
- Fraction on the Number Line
- Types of Fraction
- Improper Fraction and Mixed Fraction
- Improper Fraction
- Mixed Fraction
- Conversion between Improper and Mixed fraction
- Concept for Equivalent Fractions
- Equivalent Fractions
- Cross Product
- Like and Unlike Fraction
- Like Fraction
- Unlike Fraction
- Improper Fraction and Mixed Fraction
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Multiplication of a Fraction by a Fraction
- Multiplication of a fraction by a fraction
- Value of the Products
- Multiplication of a Fraction by a Fraction
- Concept for Reciprocal of a Fraction
- Division of Fractions
5 Decimal Fractions
- Concept of Decimal Numbers
- Place Value in the Context of Decimal Fraction.
- Concept of Tenths, Hundredths and Thousandths in Decimal
- Interconversion of Fraction and Decimal
- Representing Decimals on the Number Line
- Addition of Decimal Numbers
- Grid model
- Area model
- Place value grid model
- Subtraction of Decimals Fraction
- Grid model
- Area model
- Place value grid model
- Multiplication of Decimal Numbers
- Decimal multiplication through models
- Division of Decimal Numbers
6 Bar Graphs
8 Divisibility
10 Equations
11 Ratio and Proportion
- Concept of Ratio
- Concept of Proportion
- Proportion
- Continued or mean proportion
- Proportionality law
- Concept of Unitary Method
12 Percentage
13 Profit –Loss
14 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
15 Triangles and Their Properties
16 Quadrilaterals
17 Geometrical Constructions
- 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
- Drawing a Perpendicular to a Line Through a Point Not on It
- Method using ruler and compasses
- Method using a ruler and a set-square
- Drawing the Perpendicular Bisector of a Line Segment
18 Three Dimensional Shapes
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