Perimeter of 2D Shapes
Calculating the perimeter of various 2D shapes, including rectangles, squares, and composite shapes.
Key Questions
- Explain what perimeter represents and how it is measured.
- Calculate the perimeter of regular and irregular polygons.
- Solve real-world problems involving perimeter (e.g., fencing a garden).
NCCA Curriculum Specifications
About This Topic
Length and Height focuses on comparing and measuring objects using direct comparison and non-standard units. In Senior Infants, students move from using general terms like 'big' and 'small' to more specific terms like 'longer,' 'shorter,' 'taller,' and 'the same as.' The NCCA curriculum emphasizes the importance of 'fair' measurement, such as ensuring objects are aligned at a common baseline.
Students also begin to use uniform non-standard units, such as paperclips or cubes, to measure how long something is. This introduces the concept that measurement is a count of repeated units. This topic is particularly effective when students can move around the classroom to measure real-world objects, as it helps them develop a physical sense of scale and distance.
Active Learning Ideas
Inquiry Circle: The Giant's Footprint
The teacher leaves a large 'giant footprint' on the floor. In small groups, students must find three things in the classroom that are shorter than the footprint and three things that are longer, bringing them back to the footprint to prove it.
Stations Rotation: Measuring with Munchies
Set up stations where students measure different items (a book, a pencil, a shoe) using different non-standard units like pasta shells, cubes, or paperclips. They record their results and discuss why the numbers are different for the same object.
Think-Pair-Share: The Measuring Mistake
Show a picture of someone measuring a pencil but leaving gaps between the cubes or starting in the middle of the pencil. Pairs discuss why this won't give the right answer and then demonstrate the 'correct' way to a peer.
Watch Out for These Misconceptions
Common MisconceptionLeaving gaps or overlapping units when measuring.
What to Teach Instead
Use 'measuring tracks' or taped lines to help students align their units. Active peer-checking, where one student 'inspects' the other's line of cubes for gaps, helps reinforce the need for a continuous line of units.
Common MisconceptionNot starting from the same baseline when comparing two objects.
What to Teach Instead
Use a 'starting wall' (like the edge of a desk or a piece of tape) where all objects must touch before being compared. This physical constraint makes the concept of a fair comparison much clearer than verbal instructions alone.
Suggested Methodologies
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Frequently Asked Questions
Why don't we use rulers in Senior Infants?
What is a 'non-standard unit'?
How can I help my child understand 'taller' vs 'longer'?
How can active learning help students understand length and height?
Planning templates for Foundations of Mathematical Thinking
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.
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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.
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