Fraction Families: Thirds and Equivalence
Recognising, finding, naming and writing 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. Recognising the equivalence of 2/4 and 1/2.
Key Questions
- Explain what the bottom number of a fraction tells us about the size of the pieces.
- Compare how many quarters we need to make the same amount as one half.
- Justify why the number on top changes while the number on the bottom stays the same when we count in fractions.
National Curriculum Attainment Targets
Suggested Methodologies
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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.
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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.
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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 Parts of the Whole
Equivalence and Fairness
Understanding that fractions must consist of equal parts of a whole.
2 methodologies
Halves and Quarters of Shapes
Identifying and shading halves and quarters of 2D shapes.
2 methodologies
Halves and Quarters of Quantities
Finding halves and quarters of small numbers and quantities of objects.
2 methodologies
Unit Fractions of a Whole
Identifying and representing unit fractions (1/2, 1/3, 1/4) of a whole object.
2 methodologies
Non-Unit Fractions of a Whole
Identifying and representing non-unit fractions (2/3, 3/4) of a whole object.
2 methodologies