Mathematics · Foundation

Active learning ideas

Number Names and Numerals to 10

Active learning helps young students grasp number names and numerals by connecting abstract symbols to concrete experiences. When children move, manipulate objects, and discuss ideas, they build lasting understanding of relative quantities.

• ACARA Content Descriptions
• AC9M6N01
• AC9M6N02

• 15–25 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Inquiry Circle
• 20 min · Whole Class

Inquiry Circle: The Human Number Line

Give each student a card with a number or a set of dots. Without speaking, students must organise themselves into a line from the smallest quantity to the largest by showing their cards to one another and finding their place.

Can you point to the numeral that shows how many apples are in this picture?

Facilitation Tip

During The Human Number Line, make sure every student holds a numeral card so they physically experience the sequence and spacing of numbers.

What to look for

Present a collection of 5-8 objects (e.g., toy kangaroos). Ask students: 'How many kangaroos are there?' Then, show them three numeral cards (e.g., 5, 7, 9) and ask: 'Which card shows how many kangaroos we have?'

• Analyze
• Evaluate
• Create
• Self-Management
• Self-Awareness

Activity 02

• Stations Rotation
• 25 min · Small Groups

Stations Rotation: More or Less Jars

Set up jars filled with different amounts of pasta or buttons. At each station, students work in pairs to pick two jars and use 'more' and 'less' cards to label them, then record their findings by drawing the jars in order.

What does the numeral 7 look like , can you draw it?

Facilitation Tip

When using More or Less Jars, label each jar with a numeral and place it next to the correct group so students connect the symbol with the quantity they count.

What to look for

Show two different groups of familiar objects, like shells or blocks, with quantities up to 10. Ask students: 'Which group has more shells? How do you know?' Encourage them to explain their reasoning using counting or visual comparison.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Think-Pair-Share
• 15 min · Pairs

Think-Pair-Share: Is it Fair?

Show two unequal groups of 'treats' (like stickers). Ask students if the groups are equal. Students think about how to make them equal, share their idea with a partner, and then suggest a solution to the class, such as moving items from the larger group to the smaller one.

How do we say the name of this number?

Facilitation Tip

For Is it Fair?, pause the sharing to ask pairs to hold up their items so the whole class can see and compare the quantities together.

What to look for

Give each student a small card with a numeral (e.g., 4 or 6). Ask them to draw that many dots or objects on the back of the card to represent the numeral.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Start with real objects students can see and touch, not just pictures on a page. Use consistent vocabulary like more, less, and fewer in every activity so students hear and use the words in context. Avoid rushing to symbols; let children build comfort with quantities before matching numerals to groups.

Students will confidently name and write numerals to 10 and use comparison words like more, less, and fewer with accuracy. They will order groups of objects from smallest to largest and explain their reasoning clearly.

---

Watch Out for These Misconceptions

• During The Human Number Line, watch for students who confuse the size of the numeral card with the quantity it represents.

  Have students hold up their numeral cards and count aloud together, pointing to each number in sequence to reinforce that the numeral symbol corresponds to the quantity.

• During More or Less Jars, watch for students who select the jar with the larger or smaller objects instead of counting the total number of items.

  Prompt students to recount the items in each jar out loud, then physically move the items into a line to see the total clearly before deciding which jar has more or less.

---

Methods used in this brief

• Inquiry Circle
• Stations Rotation
• Think-Pair-Share