Mathematics · Primary 1

Active learning ideas

Patterns with Shapes

Active learning works well for patterns with shapes because young students need to touch, move, and see sequences to grasp the abstract idea of repetition. When children build patterns themselves, they notice gaps, correct mistakes, and verbalize rules far more quickly than they would with worksheets alone.

• MOE Syllabus Outcomes
• MOE: A(ii).1
• MOE: A(ii).2

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 30 min · Pairs

Pattern Blocks: Build and Extend

Provide pattern blocks in shapes and colours. Students copy a given pattern, identify the repeating unit, and extend it by three terms. Pairs discuss the rule before checking with the teacher. Conclude by creating one new pattern to share.

What is a repeating pattern?

Facilitation Tip

During Pattern Blocks: Build and Extend, circulate and ask each pair to name the rule before they add the next block to ensure clarity.

What to look for

Show students a pattern strip with missing pieces, such as circle, square, circle, ___, circle, ___. Ask: 'What shape comes next?' and 'What is the rule for this pattern?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Experiential Learning
• 25 min · Small Groups

Bead String Patterns

Give students coloured beads and string. Model a repeating pattern like red-blue-yellow. Students replicate it, then continue independently. In small groups, they swap strings to extend each other's patterns and describe the rule.

How do we find the rule of a shape pattern?

Facilitation Tip

For Bead String Patterns, model how to pause and point to the repeating unit after every third bead so students see the core sequence.

What to look for

Give each student a card with a pattern rule, like 'blue triangle, yellow circle'. Ask them to draw the first four items of the pattern and then draw the next item that would follow.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 35 min · Whole Class

Shape Stamp Relay

Set up ink pads with shape stamps of varying sizes. In lines, students stamp a starting pattern on chart paper. Each adds one repeat while naming the sequence. Whole class reviews and extends the final pattern together.

How can we create our own repeating pattern?

Facilitation Tip

In Shape Stamp Relay, assign each relay runner a colour and a shape so the group must agree on the rule before the stamp is pressed.

What to look for

Present two patterns to the class. Ask: 'How are these patterns the same?' and 'How are they different?' Guide students to discuss the repeating units and the attributes used in each pattern.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 20 min · Individual

Size Pattern Cards

Distribute cards with small, medium, large shapes in colours. Individually, students sort into repeating patterns. Then pairs combine cards to make longer sequences and present the rule to the group.

What is a repeating pattern?

Facilitation Tip

With Size Pattern Cards, have students sort the cards by size first, then by colour, to isolate each attribute before combining them in a pattern.

What to look for

Show students a pattern strip with missing pieces, such as circle, square, circle, ___, circle, ___. Ask: 'What shape comes next?' and 'What is the rule for this pattern?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teachers should start with concrete materials rather than drawings because young learners connect physical repetition to abstract rules. Avoid rushing to formal terms like ‘unit’ or ‘core’; instead, use the children’s own language to describe the repeating part. Research shows that when students articulate the rule aloud while building, their understanding solidifies faster than when rules are presented first.

By the end of these activities, students will confidently extend repeating patterns using shapes, colours, and sizes, and they will explain the core rule of the pattern in their own words. They will also create new patterns that follow a clear, consistent sequence.

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Watch Out for These Misconceptions

• During Pattern Blocks: Build and Extend, watch for students who assume any group of shapes can become a pattern without a repeating unit.

  Pause the pair and ask them to test their sequence by adding one more block; when the pattern breaks, guide them to identify the core rule by pointing to the first two repeating items.

• During Bead String Patterns, watch for students who ignore colour or size and focus only on the shape of the beads.

  Hand them two sets of beads: one monochrome in different sizes and one multicoloured in the same size, then ask them to describe all the ways the beads are alike before choosing an attribute to repeat.

• During Shape Stamp Relay, watch for inconsistent rules midway through the pattern.

  Before the next stamp, ask the team to say the rule aloud together, then invite the class to signal if the next stamp matches that rule before it is pressed.

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Methods used in this brief

• Experiential Learning