Introduction to Multiples

Active learning works well for introducing multiples because students need to see the rhythm of multiplication rather than just memorise facts. When they move their bodies or handle objects, like beads or number lines, the pattern of skip counting becomes a living thing they understand from inside out.

• Class 4
• Mathematics
• 4 activities
• 25 min–40 min

Learning Objectives

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

Carousel Brainstorm

⏱ 30 min·Small Groups

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.

Prepare & details

Predict the next three multiples in a given sequence.

Facilitation Tip: In Relay Race, stand at the far end of the room so students must run and recite the next multiple aloud before tagging the next runner, which keeps energy high and mistakes visible.

Setup: Requires 4-6 station surfaces — chart paper on walls, columns on the blackboard, or A3 sheets taped to windows. Works in standard Indian classrooms if benches are shifted to create a rotation path; a school corridor or courtyard is a practical alternative where furniture is fixed.

Materials: Chart paper or A3 sheets (one per station), Sketch pens or markers — one distinct colour per group for accountability, Cello tape or Blu-tack for mounting sheets on walls or the blackboard, A whistle or bell for rotation signals audible above classroom noise

• Remember
• Understand
• Analyze
• Relationship Skills
• Social Awareness

Carousel Brainstorm

⏱ 25 min·Pairs

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.

Prepare & details

Compare the concept of factors with the concept of multiples.

Facilitation Tip: For Bead Chains, ask each pair to record the colour pattern they see after every ten beads, so they connect the visual sequence with the numerical sequence.

Setup: Requires 4-6 station surfaces — chart paper on walls, columns on the blackboard, or A3 sheets taped to windows. Works in standard Indian classrooms if benches are shifted to create a rotation path; a school corridor or courtyard is a practical alternative where furniture is fixed.

Materials: Chart paper or A3 sheets (one per station), Sketch pens or markers — one distinct colour per group for accountability, Cello tape or Blu-tack for mounting sheets on walls or the blackboard, A whistle or bell for rotation signals audible above classroom noise

• Remember
• Understand
• Analyze
• Relationship Skills
• Social Awareness

Carousel Brainstorm

⏱ 35 min·Small Groups

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.

Prepare & details

Construct a real-world scenario where identifying multiples is useful.

Facilitation Tip: During Multiples Hunt, quietly check one student’s list before giving the next clue, so you can gently correct any skip-counting errors on the spot.

Setup: Requires 4-6 station surfaces — chart paper on walls, columns on the blackboard, or A3 sheets taped to windows. Works in standard Indian classrooms if benches are shifted to create a rotation path; a school corridor or courtyard is a practical alternative where furniture is fixed.

Materials: Chart paper or A3 sheets (one per station), Sketch pens or markers — one distinct colour per group for accountability, Cello tape or Blu-tack for mounting sheets on walls or the blackboard, A whistle or bell for rotation signals audible above classroom noise

• Remember
• Understand
• Analyze
• Relationship Skills
• Social Awareness

Carousel Brainstorm

⏱ 40 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.

Prepare & details

Predict the next three multiples in a given sequence.

Facilitation Tip: With Scenario Cards, ask students to draw a quick picture of their real-life scenario before sharing with the class, which helps them connect abstract multiples to concrete situations.

Setup: Requires 4-6 station surfaces — chart paper on walls, columns on the blackboard, or A3 sheets taped to windows. Works in standard Indian classrooms if benches are shifted to create a rotation path; a school corridor or courtyard is a practical alternative where furniture is fixed.

Materials: Chart paper or A3 sheets (one per station), Sketch pens or markers — one distinct colour per group for accountability, Cello tape or Blu-tack for mounting sheets on walls or the blackboard, A whistle or bell for rotation signals audible above classroom noise

• Remember
• Understand
• Analyze
• Relationship Skills
• Social Awareness

Teaching This Topic

Teachers should let students discover the concept through physical movement and tactile materials before naming it ‘multiples’. Avoid rushing to the term before they feel the beat of skip counting in their hands or feet. Research shows that when students articulate patterns aloud, like ‘Every third bead is orange, and that means every third number is a multiple of three,’ the idea sticks longer.

What to Expect

Successful learning looks like students confidently listing multiples in order, explaining the link between skip counting and multiplication, and quickly sorting factors from multiples without confusion. They should also point out patterns, such as why multiples of odd numbers remain odd.

Watch Out for These Misconceptions

Common Misconception

During Bead Chains, watch for students who assume all multiples are even. Stop the group and ask them to string beads for 3, then 5, and observe the colours to see that odd multiples stay odd.

What to Teach Instead

Ask students to sort their bead chains into two piles: those ending with an even bead colour and those ending with an odd bead colour, then count how many are in each pile.

Common Misconception

During Relay Race, listen for students who use the words ‘factor’ and ‘multiple’ interchangeably. Pause the race and ask the team to sort their number cards into two columns on the board before continuing.

What to Teach Instead

Have each pair hold up their number card and say whether it is a factor of the starting number or a multiple of it, then place it in the correct column.

Common Misconception

During Multiples Hunt, watch for students who always start skip counting from 1. Hand them a small number line strip that begins at the number they found, such as 24, and ask them to continue counting forwards and backwards.

What to Teach Instead

Ask students to write three different starting points on sticky notes and place them on the classroom walls, then find multiples from each starting point during the hunt.

Assessment Ideas

Quick Check

After Relay Race, give each student a whiteboard. Call out a number like 8 and ask them to write the first four multiples of 8. Collect these to check for accuracy and speed.

Discussion Prompt

During Bead Chains, after students have strung ten beads for 4 and ten for 5, ask them to compare the two chains. Prompt: ‘What do you notice about the numbers you see? How are these sequences different?’

Exit Ticket

After Scenario Cards, hand each student a card with two numbers, like 2 and 7. Ask them to write down one common multiple of these numbers and explain how they found it, using the scenario cards as reference if needed.

Extensions & Scaffolding

• Challenge: Ask students to create a 60-second skit where they act out a real-life scenario that involves multiples of 6, such as a bakery packaging cookies in boxes of 6.
• Scaffolding: Provide a partially filled number line with every fifth number missing, so students practise skip counting forwards and backwards with support.
• Deeper exploration: Invite students to investigate why 0 is a multiple of every number and how this relates to the definition of 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.