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Mathematics · Year 2

Active learning ideas

Visualising Tens and Hundreds

Active learning works for this topic because students need to physically manipulate materials to see how ones become tens and tens become hundreds. When children build, regroup, and compare, they create lasting mental images that turn abstract symbols into meaning.

ACARA Content DescriptionsAC9M2N01
15–60 minPairs → Whole Class3 activities

Activity 01

Stations Rotation45 min · Small Groups

Stations Rotation: The Great Regrouping Race

Students move through stations where they must 'trade up' units for longs and longs for flats using MAB blocks. At the final station, they must represent a 3-digit number in three different ways (e.g., 120 as 1 hundred and 2 tens, or 12 tens).

Why is it more efficient to count in groups of ten than in ones?

Facilitation TipDuring The Great Regrouping Race, circulate with a timer and call out regrouping challenges like 'Switch ten ones for one ten before the bell' to keep groups on task.

What to look forProvide students with a collection of base-ten blocks (ones, tens, hundreds). Ask them to build a specific number, for example, 'Show me 2 hundreds, 5 tens, and 3 ones.' Observe their ability to select and assemble the correct blocks.

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Activity 02

Think-Pair-Share15 min · Pairs

Think-Pair-Share: Digit Detectives

The teacher displays a number like 444. Students think about whether each '4' has the same value, discuss their reasoning with a partner, and then share their conclusions with the class using place value language.

How does the value of a digit change when it moves one place to the left?

Facilitation TipIn Digit Detectives, ask students to justify their digit-value claims by pointing to the corresponding block on the mat, not by repeating rules.

What to look forOn a slip of paper, draw a number using base-ten blocks (e.g., three hundreds flats, two tens rods, seven ones units). Ask students to write the numeral represented and explain in one sentence how they knew the value of each digit.

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Activity 03

Inquiry Circle60 min · Whole Class

Inquiry Circle: Building a Thousand

The whole class works together to create a visual representation of 1000 items (like a long paper chain or a collection of gum leaves). They must group them into tens and hundreds to keep track of the total count.

What happens to a number when we have more than nine in any single column?

Facilitation TipFor Building a Thousand, have pairs record each step on a whiteboard so you can monitor their growing understanding of the scale from ones to thousands.

What to look forPresent students with a scenario: 'Imagine you have 12 ones. How can you show this amount using tens and ones?' Facilitate a discussion where students explain the concept of regrouping ten ones into one ten.

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Templates

Templates that pair with these Mathematics activities

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A few notes on teaching this unit

Teachers approach this topic by starting concrete, moving to representational, and only then to abstract. Begin with physical blocks so students feel the difference between ten loose ones and one ten-rod. Avoid rushing to numerals; spend several lessons on oral explanations first. Research shows that students who talk through regrouping aloud before writing the symbols achieve stronger long-term retention.

Successful learning looks like students confidently selecting the correct blocks for any three-digit number, explaining why 10 tens equal 100, and using language such as 'regroup' and 'place value' naturally during group work. You will see them moving from counting each cube to instantly recognising a ten-rod or hundred-flat.


Watch Out for These Misconceptions

  • During The Great Regrouping Race, watch for students who write 1005 instead of 105 after hearing 'one hundred and five.'

    Have them place five ones on the ones mat, zero tens on the tens mat, and one hundred-flat on the hundreds mat, then read the numeral directly from the columns.

  • During Digit Detectives, watch for students who think the digit with the highest face value is always the largest part of the number.

    Ask them to trade nine ones for one ten and compare the single hundred-flat to the remaining ones to see the positional value.


Methods used in this brief