# Class 5 Mathematics Karnataka Board Syllabus

### 1. Geometry

- Shapes & Spatial
- Understanding Circles
- Draws a circle using the compass for a given radius
- Gets the feel of perspective while drawing a 3-D object in 2-D.
- Gets the feel of an angle through observation and paper folding.
- Identifies right angles in the environment.
- Classifies angles into right, acute, and obtuse angles.
- Represents the right angle, acute angle, and obtuse angle by drawing and tracing.
- Explores intuitively the reflections through inkblots, paper cutting, and paper folding.
- Explores intuitively rotations and reflections of familiar 2-D i.e. Circle, right-angled triangle, and rectangle.
- Explores intuitively symmetry in familiar 2-D and 3-D shapes.
- Makes the shapes of cubes, cylinders, and cones using nets specially designed for this purpose.
- Draws intuitively the plan, elevation, and side view of simple 3D objects.
- Gets familiar with the instrument box and its use.

### 2. Numbers

- Numbers and operations
- Finds place value in numbers beyond 1000.
- Appreciates the role of place value, in addition, subtraction and multiplication algorithms.
- Uses informal and standard division algorithms.
- Explains the meaning of factors and multiples.

- Mental Arithmetic
- Estimates sums, differences, products, and quotients and verifies using approximation.

- Fractional Numbers
- Finds the fractional part of a collection.
- Compares fractions.
- Identifies equivalent fractions.
- Estimates the degree of closeness of a fraction to known fractions (½, ¼, ¾, etc.)
- Uses decimal fractions in the context of units of length and money.
- Expresses a given fraction in decimal notation and vice versa.

### 3. Money

- Applies the four operations in solving problems involving money.
- Makes rate charts and bills.
- Estimates roughly the totals and total cost.

### 4. Measurement

- Length
- Determines area and perimeter of simple geometrical figures. By measuring.
- Applies the four operations in solving problems involving length, weight, and volume.
- Relates commonly used larger and smaller units of length, weight, and volume and converts one to the other.
- Applies simple fractions to quantities.
- Converts fractional larger units into complete smaller units.
- Appreciates the volume of a solid body: intuitively and also by informal measurement.
- Uses addition and subtraction in finding time intervals in simple cases.

### 5. Data Handling

- Collects two-dimensional quantitative data.
- Represents the data in the form of a table.
- Draws a bar graph or a pictograph to present data.
- Draws inferences through discussions.

### 6. Patterns

- Familiarises square and triangular numbers through patterns.
- Relates sequences of odd numbers between consecutive square numbers.
- Makes border strip and tiling patterns.