# 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.  Study Materials for Class 5

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