Measuring Mass with Non-Standard Units
Students will measure mass using non-standard units on a balance scale.
About This Topic
Measuring mass with non-standard units teaches Primary 1 students to compare objects using balance scales and items like counters or paper clips. They place an unknown object on one pan and add units to the other until balanced, then record the count. This process answers key questions: how to measure with non-standard units, why units must match in mass for accuracy, and how to compare results.
In the MOE Mathematics curriculum, under Shapes, Measurement and Data in Semester 2, this aligns with standards M(ii).3 and M(ii).4. It builds comparison skills, introduces fair testing, and prepares for standard units. Students develop data recording habits by noting measurements in tables, fostering precision and communication.
Active learning benefits this topic greatly. Hands-on scale use lets students predict, test, and adjust, turning abstract mass into tangible experience. Group discussions on results promote reasoning about fairness, while real-object variety keeps engagement high and supports diverse learners.
Key Questions
- How do we use non-standard units to measure mass?
- Why must all the non-standard units have the same mass?
- How can we record and compare our measurements?
Learning Objectives
- Compare the mass of two objects using a balance scale and non-standard units.
- Explain why identical non-standard units are necessary for accurate mass comparison.
- Record mass measurements using tally marks or simple number notation.
- Classify objects into groups based on their measured mass relative to a standard unit.
Before You Start
Why: Students need to be able to visually compare objects based on size before they can compare their mass.
Why: This helps students develop the foundational skills for classifying objects based on attributes, which is extended to mass.
Key Vocabulary
| Mass | Mass is how much 'stuff' or matter is in an object. We measure it to see how heavy or light something is. |
| Balance Scale | A tool with two pans used to compare the mass of objects. It tells us if one side is heavier, lighter, or if both sides have the same mass. |
| Non-standard Unit | An object used for measuring that is not a recognized unit like grams or kilograms. Examples include counters, paper clips, or blocks. |
| Equal Mass | When two objects or groups of objects have the same amount of mass, making the balance scale level. |
Watch Out for These Misconceptions
Common MisconceptionLarger objects always have greater mass.
What to Teach Instead
Balance a large balloon against a small pebble; active trials reveal size does not determine mass. Students discuss observations in pairs, refining ideas through counterexamples and repeated tests.
Common MisconceptionNon-standard units can vary in size or mass.
What to Teach Instead
Provide mixed unit sets; groups test and note imbalances. Hands-on comparison shows consistent mass is essential for fair measurement, with peer sharing reinforcing the rule.
Common MisconceptionFewer units mean the object is heavier.
What to Teach Instead
Measure familiar objects like apples versus feathers; chart results clarify inverse relationship. Group predictions and verifications build correct understanding via trial and error.
Active Learning Ideas
See all activitiesStations Rotation: Balance Scale Challenges
Prepare four stations with balance scales, unit sets (cubes or clips), and objects like erasers, books, toys. Groups measure two objects per station, record units in notebooks, and predict next. Rotate every 10 minutes, then share findings.
Prediction Pairs: Mass Guessing Game
Pairs select objects, predict unit count needed to balance, then test on shared scale. They record prediction versus actual, discuss differences. Extend by comparing two objects.
Whole Class: Mass Comparison Chart
Display objects; class votes predictions, then measures together using scale and units. Record on shared chart, discuss heaviest and lightest. Vote on most surprising result.
Individual: Unit Hunt and Measure
Students find classroom items, choose units, measure mass alone, then verify with partner. Record in personal log with drawings.
Real-World Connections
- Grocery store employees use scales to measure the mass of produce like apples or rice, ensuring customers receive the correct amount.
- Doctors and nurses use scales to measure the mass of babies, which is an important indicator of their health and growth.
- Bakers use measuring cups and scales to ensure precise amounts of ingredients like flour and sugar, which affects the final texture and taste of cakes and bread.
Assessment Ideas
Provide students with a balance scale, a set of counters, and two different small objects (e.g., an eraser and a toy car). Ask: 'Which object do you think is heavier? Use the counters and the scale to find out. How many counters does each object need to balance?'
Give each student a card with a drawing of a balance scale. One pan has a picture of 5 blocks, and the other pan has a picture of 3 blocks. Ask: 'Which side is heavier? Draw more blocks on the lighter side to make the scale balance. Write the total number of blocks on each side when it is balanced.'
Present students with two different non-standard units, such as large buttons and small beads. Ask: 'If we use buttons to measure the mass of a book, and then use beads to measure the mass of the same book, will we get the same number? Why or why not? What is important about the units we use?'
Frequently Asked Questions
How can active learning help students understand measuring mass with non-standard units?
Why must non-standard units have the same mass?
How to record and compare mass measurements?
What objects work best for non-standard mass measurement?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Shapes, Measurement and Data
Recognising 2D Shapes
Students will identify and name circles, triangles, squares, and rectangles in their environment.
2 methodologies
Properties of 2D Shapes
Students will describe 2D shapes by the number of sides and corners (vertices) they have.
2 methodologies
Recognising 3D Shapes
Students will identify and name cubes, cuboids, spheres, cylinders, and cones in their environment.
2 methodologies
Properties of 3D Shapes
Students will describe 3D shapes using the terms faces, edges, and vertices.
2 methodologies
Patterns with Shapes
Students will identify, describe, and continue repeating patterns made from shapes, colours, and sizes.
2 methodologies
Comparing Lengths
Students will compare the lengths of two or more objects directly using the terms "longer", "shorter", and "about the same length".
2 methodologies