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Mathematics · Year 1

Active learning ideas

Measuring Length with Informal Units

Active learning works well for measuring length with informal units because young students learn best when they move, touch, and compare. Handling objects directly helps them grasp that measurement is about iteration and alignment, not just guessing by sight.

ACARA Content DescriptionsAC9M1M01
15–30 minPairs → Whole Class4 activities

Activity 01

Numbered Heads Together30 min · Small Groups

Scavenger Hunt: Classroom Lengths

Give each small group 20 linking cubes as units. Direct students to find and measure five objects like desks, books, and doors, recording cube counts on charts. Groups report their longest and shortest finds to the class.

Justify why using the same size unit is crucial when measuring the length of the classroom.

Facilitation TipDuring the Scavenger Hunt, circulate and remind students to start at the very edge of each object and stop exactly at the opposite edge.

What to look forProvide students with three objects of varying lengths (e.g., a pencil, a book, a crayon) and a set of uniform informal units (e.g., paper clips). Ask students to measure each object and record the number of units. Then, ask them to order the objects from shortest to longest based on their measurements.

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Activity 02

Gap Detective Challenge

Pairs measure a shared rope first with deliberate gaps using straws, then correctly without gaps. They compare counts and draw what went wrong. Discuss as a class why accurate placement matters.

Analyze the impact of leaving gaps between measuring tools on the accuracy of measurement.

Facilitation TipIn the Gap Detective Challenge, pair students to measure the same object twice—once correctly and once with gaps—then compare results.

What to look forPresent students with two scenarios: one where an object is measured with consistent units and another where there are significant gaps between units. Ask: 'Which measurement do you think is more accurate and why?' Guide them to explain the importance of placing units without gaps.

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Activity 03

Cross-Room Partners

Pair students across rooms and agree on paper clips as units. Each measures a door height and reports the count back via messenger. Class compares results to see equal lengths.

Design a method to compare the length of two objects in different rooms.

Facilitation TipFor Cross-Room Partners, assign pairs of students to measure one object each and later present their comparisons to the class.

What to look forGive each student a card with a picture of two different classroom objects (e.g., a chair and a table). Ask them to write one sentence explaining how they would compare the lengths of these two objects if they were in different classrooms, using only paper clips as their measuring tool.

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Activity 04

Numbered Heads Together15 min · Whole Class

Unit Size Debate

Whole class views measurements of one object with small blocks versus large erasers. Students vote and justify which gives better detail, then measure in preferred unit.

Justify why using the same size unit is crucial when measuring the length of the classroom.

What to look forProvide students with three objects of varying lengths (e.g., a pencil, a book, a crayon) and a set of uniform informal units (e.g., paper clips). Ask students to measure each object and record the number of units. Then, ask them to order the objects from shortest to longest based on their measurements.

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Templates

Templates that pair with these Mathematics activities

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A few notes on teaching this unit

Teach by modeling careful placement of units and narrating each step aloud. Avoid rushing to abstract symbols; anchor understanding in concrete actions. Research shows that students who physically align units grasp the conservation of length better than those who only observe demonstrations.

Successful learning looks like students placing units end-to-end without gaps or overlaps and explaining why precise placement matters. They should confidently use unit counts to compare lengths and justify their choices with clear language.


Watch Out for These Misconceptions

  • During the Gap Detective Challenge, watch for students who leave spaces between units or overlap them without realizing how it changes the count.

    Have students repeat the measurement with and without gaps, then ask them to show the class how the length appears different. Use the paired comparisons to guide them to place units flush end-to-end.

  • During the Unit Size Debate, listen for claims that larger units always give better or more accurate measurements.

    Provide cubes and paper clips in the debate and ask students to measure the same object with each set. Then, have them explain why the counts differ but the object’s length stays the same when units match.

  • During Cross-Room Partners, notice when students assume that a longer object must use fewer units because they notice fewer units in their count.

    Ask partners to sketch the units along the object, then compare their sketches side-by-side to see that more units mean a longer object when the unit size is the same.


Methods used in this brief