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Mathematics · Class 4

Active learning ideas

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.

CBSE Learning OutcomesCBSE: How Many Times? - Class 4
25–40 minPairs → Whole Class4 activities

Activity 01

Carousel Brainstorm30 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.

Predict the next three multiples in a given sequence.

Facilitation TipIn 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.

What to look forWrite 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.

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Activity 02

Carousel Brainstorm25 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.

Compare the concept of factors with the concept of multiples.

Facilitation TipFor 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.

What to look forPresent 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?'

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Activity 03

Carousel Brainstorm35 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.

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

Facilitation TipDuring 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.

What to look forGive 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.

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Activity 04

Carousel Brainstorm40 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.

Predict the next three multiples in a given sequence.

Facilitation TipWith 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.

What to look forWrite 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.

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Templates

Templates that pair with these Mathematics activities

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A few notes on teaching this unit

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.

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

  • 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.

    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.

  • 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.

    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.

  • 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.

    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.


Methods used in this brief