Recognizing Equal Shares of Identical Wholes
Students recognize that equal shares of identical wholes need not have the same shape.
Key Questions
- Justify how two different-looking pieces can still represent equal shares of the same whole.
- Compare different ways to cut a pizza into four equal shares.
- Design a non-traditional way to divide a rectangle into two equal halves.
Common Core State Standards
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.
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 Geometry and Fractions: Shapes and Parts
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Identifying and drawing shapes based on specific attributes such as angles and faces.
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Students identify and describe attributes of three-dimensional shapes, such as faces, edges, and vertices.
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Students draw shapes having specified attributes, such as a given number of angles or a given number of faces.
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Partitioning Rectangles into Rows and Columns
Partitioning a rectangle into rows and columns of same size squares to count the total.
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Counting Tiled Squares
Students count the total number of same-size squares that tile a rectangle by rows and by columns.
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