Mathematics · 1st Grade

Active learning ideas

Measuring with Non-Standard Units

Active learning builds concrete understanding when students physically handle units and objects, making abstract measurement ideas visible. For this topic, students need repeated practice iterating units end-to-end to internalize accurate measurement processes.

• Common Core State Standards
• CCSS.Math.Content.1.MD.A.2

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

Activity 01

• Inquiry Circle
• 25 min · Small Groups

Inquiry Circle: Same Object, Different Units

Groups measure three classroom objects (a desk, a pencil, a book) using two different non-standard units (small cubes and large paper clips). They record both measurements and discuss why the counts differ. Groups share findings and the class builds a generalization about the relationship between unit size and count.

Why must we use the same size unit consistently when measuring an object?

Facilitation Tip

During Collaborative Investigation, assign each group a unique unit so they physically compare how different units yield different counts for the same object.

What to look for

Provide students with a pencil and a set of 10 paper clips. Ask them: 'Measure the length of your pencil using the paper clips. How many paper clips long is it?' Observe if they place the paper clips end-to-end without gaps.

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

Activity 02

• Gallery Walk
• 20 min · Pairs

Gallery Walk: Measurement Audit

The teacher pre-measures several objects incorrectly (gaps between units, overlapping units, or mixed unit sizes) and posts photos or physical setups around the room. Pairs visit each station, identify which rule was broken, and write the correction on a sticky note.

Explain what happens to the number of units if we use smaller units to measure the same object.

Facilitation Tip

During Gallery Walk, post measurement results with photos so students can see how unit size affects the number recorded.

What to look for

Give students a picture of a toy car measured with 5 large cubes. Ask: 'If you used smaller cubes to measure the same car, would you need more cubes or fewer cubes? Explain your thinking.' Collect responses to check understanding of the inverse relationship.

• Understand
• Apply
• Analyze
• Create
• Relationship Skills
• Social Awareness

Activity 03

• Think-Pair-Share
• 15 min · Pairs

Think-Pair-Share: How Many Will We Need?

Show an object and two units of clearly different sizes. Partners predict which unit will produce a larger count and explain their reasoning before measuring to verify. The class discusses how their predictions matched the results and why.

Critique a measurement where units are not placed end-to-end or have gaps.

Facilitation Tip

During Think-Pair-Share, have students hold up their counted units next to the object to visually confirm their measurement.

What to look for

Present a drawing of a table measured with 8 unifix cubes. One row has gaps, and another has overlaps. Ask students: 'Which row shows the correct way to measure? How do you know? What is wrong with the other row?' Facilitate a discussion about accurate measurement practices.

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

Activity 04

• Stations Rotation
• 25 min · Small Groups

Stations Rotation: Measure and Record

At each station a different unit is available (cubes, tiles, or paper strips). Students measure the provided object at each station and record the measurement on a master sheet. At the end, they compare counts across stations and discuss what the different numbers have in common.

Why must we use the same size unit consistently when measuring an object?

Facilitation Tip

During Station Rotation, include objects of varying lengths and require students to record both the unit and the count to avoid confusion later.

What to look for

Provide students with a pencil and a set of 10 paper clips. Ask them: 'Measure the length of your pencil using the paper clips. How many paper clips long is it?' Observe if they place the paper clips end-to-end without gaps.

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

A few notes on teaching this unit

Teachers should model precise measurement by carefully lining up units and counting out loud. Avoid rushing to standard units; instead, emphasize the process of iterating units without gaps or overlaps. Research shows that early misconceptions about measurement stem from rushed transitions, so give students time to compare measurements made with different units side by side.

Students will choose appropriate non-standard units, measure objects with precision, and explain why some units require more or fewer iterations to cover the same length. They will also recognize that larger numbers do not always mean longer objects when units differ.

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Watch Out for These Misconceptions

• During Collaborative Investigation, watch for students who assume a larger count always means a longer object when comparing units.

  Have students physically lay the two measured objects side by side and observe which is truly longer, then revisit their measurement records to explain why the smaller unit required more counts.

• During Station Rotation, watch for students who leave gaps or overlaps between units or count partial units as whole ones.

  Provide students with an object that measures exactly 5 units, then give them a shorter object to measure. The overhang error will become visible when they compare results to the 5-unit reference.

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Methods used in this brief

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