Mathematics · Class 4 · Operational Fluency · Term 1

Introduction to Multiples

Students will identify multiples of numbers and understand their connection to skip counting.

• CBSE Learning Outcomes
• CBSE: How Many Times? - Class 4

About This Topic

Introduction to multiples teaches students to identify numbers formed by multiplying a given number by whole numbers, closely tied to skip counting. For instance, skip counting by 4 gives multiples like 4, 8, 12, 16. Students practise listing multiples up to a certain point, predicting the next three in a sequence, and distinguishing multiples from factors, where factors divide evenly into a number.

This topic fits within CBSE Class 4 operational fluency, building number patterns essential for division, fractions, and problem-solving. Real-world links include arranging classroom desks in equal rows or calculating repeated jumps on a number line. Comparing factors and multiples deepens understanding, while scenarios like bus seating show practical value.

Active learning suits this topic perfectly, as hands-on tasks turn abstract counting into tangible experiences. When students use counters to build multiples or race to chant sequences, they grasp patterns through play and movement, boosting retention and confidence over worksheets alone.

Key Questions

1. Predict the next three multiples in a given sequence.
2. Compare the concept of factors with the concept of multiples.
3. Construct a real-world scenario where identifying multiples is useful.

Learning Objectives

• Calculate the first five multiples for any given whole number up to 10.
• Identify the common multiples of two given numbers up to 50.
• Compare the sequence of multiples generated by skip counting with the sequence of multiples generated by multiplication.
• Construct a word problem that requires finding multiples to solve.

Before You Start

Basic Multiplication Facts

Why: Students must be able to multiply single-digit numbers to generate multiples.

Skip Counting

Why: Understanding skip counting provides a concrete method for generating and recognizing multiples.

Key Vocabulary

Multiple	A multiple of a number is the result of multiplying that number by any whole number. For example, 12 is a multiple of 3 because 3 multiplied by 4 equals 12.
Skip Counting	Skip counting involves counting forward by a specific number or interval, such as counting by 5s (5, 10, 15, 20). This generates multiples of that number.
Common Multiple	A common multiple of two or more numbers is a number that is a multiple of each of those numbers. For example, 12 is a common multiple of 3 and 4.
Factor	A factor of a number is a whole number that divides into it exactly, with no remainder. For example, 3 and 4 are factors of 12.

Watch Out for These Misconceptions

Common Misconception

Multiples of any number are always even numbers.

What to Teach Instead

Multiples of odd numbers stay odd, such as 3, 9, 15 for 3. Hands-on bead stringing or drawing arrays shows this clearly, as students count and observe patterns visually during group sharing.

Common Misconception

Factors and multiples mean the same thing.

What to Teach Instead

Factors go into a number evenly; multiples come from multiplying it out. Sorting number cards into factor-multiple charts in pairs helps students debate and correct ideas through peer talk.

Common Misconception

Skip counting only works forwards from 1.

What to Teach Instead

Skip counting starts from zero or any multiple. Number line hops in relays let students practise both directions, building flexibility as they physically move and explain steps.

Active Learning Ideas

Relay Race: Skip Counting Multiples

Form teams of four to six students. Call out a number like 6; first student runs to the board, writes and says the first multiple, tags the next who adds the second, until ten multiples. Winning team gets a cheer. Discuss patterns after.

30 min·Small Groups

Bead Chains: Build Multiples

Provide strings and coloured beads. Pairs string beads for multiples of a number, such as five beads per group for multiples of 3. Compare chain lengths and predict extensions. Display chains for class reference.

25 min·Pairs

Multiples Hunt: Classroom Scavenger

Label classroom items with numbers from 1 to 50. Give each small group a number; they hunt and list items whose numbers are multiples. Groups share findings and verify with skip counting.

35 min·Small Groups

Scenario Cards: Real-World Multiples

Distribute cards with problems like 'arrange 24 chairs in rows of 4'. Small groups draw, solve using multiples, and present. Class votes on most creative scenario.

40 min·Small Groups

Real-World Connections

• A shopkeeper arranging items in shelves needs to know multiples. If biscuits come in packs of 6, they might arrange them in rows of 6, 12, or 18 to fill shelves neatly.
• When planning a birthday party, a parent might need to buy balloons. If each child gets 3 balloons, knowing multiples of 3 helps calculate the total number of balloons needed for 10 children (30 balloons).

Assessment Ideas

Quick Check

Write the number 7 on the board. Ask students to write down the first four multiples of 7 on a small piece of paper. Collect these to see who can calculate them accurately.

Discussion Prompt

Present two sequences: 4, 8, 12, 16 and 5, 10, 15, 20. Ask students: 'How are these sequences related to skip counting? What is the difference between the numbers in the first sequence and the numbers in the second sequence?'

Exit Ticket

Give each student a card with two numbers, for example, 3 and 5. Ask them to write down one common multiple of these two numbers and explain how they found it.

Frequently Asked Questions

What are multiples in Class 4 CBSE maths?

Multiples are numbers you get by multiplying a whole number by 1, 2, 3, and so on, like 5, 10, 15 for 5. Students learn this through skip counting and listing up to 100. It connects to patterns and prepares for divisibility. Practice with everyday examples like grouping fruits helps solidify the idea.

How to explain difference between factors and multiples to Class 4?

Factors divide a number evenly, like 2 and 3 for 6; multiples are products like 6, 12 for 2 or 3. Use a factor-multiples tree diagram on the board. Pairs sort numbers into categories, discussing why, which clarifies through comparison and talk.

Real-world examples of multiples for Class 4 students?

Multiples appear in packing boxes of 12 eggs, arranging 20 students in groups of 4, or clock hours in multiples of 5. Create scenarios like fencing a garden in equal sections. Students role-play these in groups to see practical use and predict outcomes.

How can active learning help students understand multiples?

Active methods like bead chaining or scavenger hunts make multiples concrete, as children touch and move to build patterns. Races build speed in skip counting through fun competition, while group scenarios link to life. This engagement cuts rote errors, with 80% retention gains from such play over drills, per classroom trials.