Mathematics -- Class 3

Topic: Patterns
Name: ____________________________Class: 3Date: ________________
Learning Objectives
Let Us Begin!

Look at this: 2, 4, 6, 8, 10... Can you guess the next number? It is 12!

This is a pattern. A pattern is something that repeats or follows a rule.

Patterns are everywhere -- in numbers, in shapes, in rangoli designs, and even in the days of the week!

When we find the rule, we can tell what comes next.

Understanding Patterns

Number Patterns

In a number pattern, numbers follow a rule. The rule tells us what to do to get the next number.

PatternRuleNext Numbers
2, 4, 6, 8, ...Add 210, 12, 14
5, 10, 15, 20, ...Add 525, 30, 35
10, 20, 30, 40, ...Add 1050, 60, 70
3, 6, 9, 12, ...Add 315, 18, 21

Skip Counting

Skip counting means counting forward by skipping some numbers. It follows a pattern!

Think about it: When you count by 5s, what do all the numbers end with? They end with 0 or 5!

Shape Patterns

In a shape pattern, shapes repeat in a fixed order.

Example: Circle, Square, Circle, Square, Circle, Square, ...

The rule is: Circle and Square repeat one after the other.

What comes next? Circle, then Square.

Another example: Triangle, Triangle, Circle, Triangle, Triangle, Circle, ...

The rule is: Two Triangles, then one Circle. This group of three keeps repeating.

Finding the Rule

To find the rule, look at how the pattern changes from one step to the next.

Pattern: 4, 8, 12, 16, 20. Each number is 4 more than the one before. Rule: Add 4.

Key Words and Meanings
WordMeaning
PatternSomething that repeats or follows a rule
RuleThe instruction that tells how the pattern works
Skip countingCounting forward by jumping over numbers (by 2s, 5s, 10s)
Repeating patternA pattern where a group of items repeats again and again
Number patternA list of numbers that follows a rule

Mathematics -- Class 3 (continued)

Topic: Patterns -- Examples and Practice
Examples
Example 1: Finding the Rule

Pattern: 10, 15, 20, 25, 30. What is the rule?

Each number is 5 more than the one before. Rule: Add 5. Next number: 35.

Example 2: Completing a Number Pattern

Fill in the missing numbers: 6, 8, ___, 12, ___, 16.

Rule: Add 2. Missing numbers: 10 and 14.

Example 3: Shape Pattern

Pattern: Square, Circle, Triangle, Square, Circle, Triangle, Square, ...

The group "Square, Circle, Triangle" repeats. Next two shapes: Circle, Triangle.

Key Points to Remember
Practice Questions

A. Find the Rule and Write the Next 3 Numbers

  1. 4, 8, 12, 16, , , (Rule: )
  2. 5, 10, 15, 20, , , (Rule: )
  3. 10, 20, 30, 40, , , (Rule: )
  4. 7, 9, 11, 13, , , (Rule: )

B. Fill in the Missing Numbers

  1. 2, 4, , 8, , 12
  2. 15, 20, , 30, , 40
  3. 30, , 50, 60, , 80

C. Multiple Choice Questions

  1. What is the rule for: 3, 6, 9, 12, 15?
    (a) Add 2(b) Add 3(c) Add 5(d) Add 4
  2. Skip counting by 10: 10, 20, 30, ___ . What comes next?
    (a) 35(b) 50(c) 40(d) 31
  3. In the pattern Circle, Square, Circle, Square, ... what comes next?
    (a) Triangle(b) Square(c) Circle(d) Rectangle

D. Short Answer

  1. Write the skip counting by 5 from 5 to 50.
  2. Create your own number pattern with the rule "Add 4". Start from 3.
Think and Do -- Fun Activity

Pattern Rangoli: Create a pattern using shapes. Draw a repeating pattern in the space below using circles, triangles, and squares. Your pattern must repeat at least 3 times.

Write the rule of your pattern: ___________________________

Now create a number pattern of your own. Write 8 numbers that follow a rule.

My pattern: ___________________________________________

My rule: ______________________________________________