Shapes and Patterns - Class 5 Mathematics (CBSE)

Based on the current NCERT Maths Mela Grade 5 sequence. Read the idea, try the activity, then solve the practice set without looking at the answers.

1. Why this chapter matters

Shapes and Patterns uses familiar Class 5 situations to make mathematics feel usable. Instead of treating maths as a list of sums, this chapter asks students to notice information, choose a method, explain the method, and check whether the answer makes sense.

The main focus is recognising shapes, building patterns, tessellations, and visual reasoning. This is useful in notebooks, oral questions, class activities, and competency-based school tests because teachers often ask students to explain how they know, not just write the final number.

2. Core ideas

Idea 1

Shapes can be described by sides, corners, and angles.

Method 2

Patterns repeat according to a rule.

Skill 3

Some shapes tile a surface without gaps.

3. Worked examples

Example 1: A pattern is circle, square, circle, square. What comes next?

Circle, because the two-shape rule repeats.

Check: The answer uses the correct operation and keeps the unit or context clear.

Example 2: Name a shape with 4 equal sides.

A square has 4 equal sides.

Check: The answer uses the correct operation and keeps the unit or context clear.

4. Activity corner

Create a border pattern using two shapes and two colours. Write the rule below it.

Write your activity answer in three parts:

• What I observed
• What I calculated or compared
• What mathematical idea this shows

5. Common mistakes

• Mistake: Solving before reading the whole word problem Fix: Circle the data, underline the question, and then choose the operation.
• Mistake: Forgetting units such as cm, m, kg, L, minutes, or rupees Fix: Write the unit with every final answer.
• Mistake: Doing only exact calculation without checking reasonableness Fix: Use estimation or reverse operation to catch impossible answers.

6. How to write better answers

1. Write the given numbers and units first.
2. Show the operation or reasoning step.
3. Use a diagram, table, grid, or number line if it makes the answer clearer.
4. Write the final answer in a complete sentence.
5. Check the answer by estimation, reverse operation, or common sense.

7. Practice set

1. How many sides does a triangle have?
2. Complete: A B B A B B A __ __
3. Name one shape that tiles a floor easily.
4. How is a square different from a rectangle?
5. Why is the rule important in a pattern?
6. Make a number pattern increasing by 5.

8. Answer key

1. How many sides does a triangle have? Answer: Three sides.

2. Complete: A B B A B B A __ __ Answer: B B.

3. Name one shape that tiles a floor easily. Answer: Square, rectangle, or triangle.

4. How is a square different from a rectangle? Answer: A square has all sides equal; a rectangle has opposite sides equal.

5. Why is the rule important in a pattern? Answer: It helps predict what comes next.

6. Make a number pattern increasing by 5. Answer: 5, 10, 15, 20, 25.

9. Quick revision

• Main focus: recognising shapes, building patterns, tessellations, and visual reasoning.
• Shapes can be described by sides, corners, and angles.
• Patterns repeat according to a rule.
• Some shapes tile a surface without gaps.
• Learn by doing the activity once, not by memorising only the final answers.
• Keep units clear and show steps for partial marks.