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Module 1: Introduction to Geometry

Topics Covered:

1. Understanding Points, Lines, and Planes
2. Line Segments and Rays
3. Types of Angles: Acute, Right, Obtuse, and Straight Angles

Practice Questions:

1. Name the geometric figure that has no endpoints.
2. Identify the type of angle that measures 90∘90^\circ90∘.
3. Draw and label a line segment ABABAB with a length of 5 cm.

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Module 2: Basic Geometric Shapes

Topics Covered:

1. Polygons: Triangle, Quadrilateral, Pentagon, and Hexagon
2. Circle: Radius, Diameter, and Circumference
3. Symmetry in Basic Shapes

Practice Questions:

1. Identify the shape that has four equal sides and angles.
2. Calculate the circumference of a circle with a radius of 7 cm (Use π=3.14\pi = 3.14π=3.14).
3. Draw a hexagon and check for symmetry.

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Module 3: Triangles

Topics Covered:

1. Classification Based on Sides: Scalene, Isosceles, and Equilateral
2. Classification Based on Angles: Acute, Right, and Obtuse
3. Basic Triangle Properties:
   • Sum of Angles in a Triangle
   • Pythagoras Theorem (Right Triangles)

Practice Questions:

1. Classify the triangle with sides 3 cm, 4 cm, and 5 cm.
2. Find the missing angle of a triangle with angles 40∘40^\circ40∘ and 50∘50^\circ50∘.
3. Apply the Pythagoras theorem to find the hypotenuse of a right triangle with legs 6 cm and 8 cm.

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Module 4: Quadrilaterals

Topics Covered:

1. Types of Quadrilaterals:
   • Square, Rectangle, Parallelogram, Rhombus, and Trapezium
2. Properties of Quadrilaterals
3. Diagonals of Quadrilaterals

Practice Questions:

1. What is the difference between a square and a rectangle?
2. Calculate the perimeter of a rectangle with length 12 cm and width 8 cm.
3. Draw a parallelogram and mark its diagonals.

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Module 5: Perimeter and Area

Topics Covered:

1. Perimeter of Common Shapes: Triangle, Rectangle, and Circle
2. Area Formulas for Basic Shapes
3. Real-Life Applications of Perimeter and Area

Practice Questions:

1. Find the area of a rectangle with length 10 cm and width 5 cm.
2. Calculate the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm.
3. If the radius of a circle is 7 cm, find its area (Use π=3.14\pi = 3.14π=3.14).

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Module 6: Coordinate Geometry (Basics)

Topics Covered:

1. Cartesian Plane: X-axis, Y-axis, and Quadrants
2. Plotting Points in the Plane
3. Distance Between Two Points (Basic)

Practice Questions:

1. Plot the points (2,3)(2, 3)(2,3) and (−1,−4)(-1, -4)(−1,−4) on a graph.
2. Identify the quadrant of the point (−3,5)(-3, 5)(−3,5).
3. Calculate the distance between (0,0)(0, 0)(0,0) and (3,4)(3, 4)(3,4).

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Module 7: Circles

Topics Covered:

1. Basic Terminology: Chord, Arc, Sector, and Segment
2. Relationship Between Radius, Diameter, and Circumference
3. Introduction to Tangents

Practice Questions:

1. Define the chord of a circle.
2. Find the diameter of a circle with a radius of 10 cm.
3. Draw a circle and label its radius, diameter, and a chord.

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Module 8: Symmetry and Transformations

Topics Covered:

1. Line Symmetry: Mirror Images
2. Rotational Symmetry
3. Introduction to Transformations: Translation, Rotation, and Reflection

Practice Questions:

1. Identify whether a square has line symmetry, rotational symmetry, or both.
2. Draw the reflection of a triangle over a vertical line.
3. Rotate a triangle 90∘90^\circ90∘ clockwise about a fixed point.

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Module 9: Basic 3D Shapes

Topics Covered:

1. Introduction to 3D Shapes: Cube, Cuboid, Sphere, Cylinder, and Cone
2. Faces, Edges, and Vertices
3. Surface Area and Volume (Simple Cases)

Practice Questions:

1. Count the number of faces, edges, and vertices in a cube.
2. Draw a cylinder and mark its radius and height.
3. Calculate the volume of a cuboid with length 4 cm, width 3 cm, and height 2 cm.

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Module 10: Final Review and Geometry Project

Topics Covered:

1. Revision of All Topics
2. Real-Life Applications of Geometry:
   • Designing a Garden
   • Creating Floor Plans
3. Geometry Test: Mixed Questions

Mock Test Sample Questions:

1. Draw a triangle with angles 60∘,60∘,60^\circ, 60^\circ,60∘,60∘, and 60∘60^\circ60∘. What type of triangle is it?
2. Find the area and perimeter of a square with side 5 cm.
3. Plot the points (1,1),(1,4),(4,4),(1, 1), (1, 4), (4, 4),(1,1),(1,4),(4,4), and (4,1)(4, 1)(4,1) and identify the shape formed.

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Additional Materials

• Worksheets for Hands-On Drawing and Calculation
• Templates for Graphing
• Games and Puzzles for Practicing Symmetry and Shapes
• Activity: Measure objects around you (e.g., tables, rooms) and calculate their area and perimeter.

This syllabus introduces fundamental geometric concepts, making it ideal for beginners to build a strong foundation in geometry.

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