Tens and Units
Investigate how the position of a digit determines its value in multi-digit numbers.
Key Questions
- What does the tens digit tell us about a number?
- How many tens and units are in numbers like 23 or 47?
- Can you make a number using bundles of tens and single units?
NCCA Curriculum Specifications
About This Topic
Geometric and Organic Shapes helps students distinguish between the structured world of man-made objects and the flowing, irregular forms of nature. In 1st Class, this topic bridges the gap between Mathematics (Shape and Space) and Visual Arts. Students learn to identify circles, squares, and triangles in their surroundings while also discovering 'organic' shapes like clouds, puddles, or leaves that don't follow strict rules.
Understanding how shapes overlap and interact is a key milestone in spatial awareness. This topic is highly suited to collaborative problem-solving and physical sorting. When students physically manipulate shapes or work together to build a 'shape person,' they move from simple recognition to creative application, seeing how basic building blocks form complex images.
Active Learning Ideas
Stations Rotation: Shape Sorting
Set up three stations: one for tracing geometric blocks, one for drawing organic shapes found in nature (stones/leaves), and one for 'shape hunting' in magazines. Groups rotate every ten minutes to build a diverse shape vocabulary.
Inquiry Circle: The Overlap Challenge
Pairs are given translucent colored shapes. They must work together to create new shapes and colors by overlapping them, then trace the resulting 'new' shapes onto a large sheet of paper.
Gallery Walk: Shape Characters
Students create a character using only three geometric and three organic shapes. They display their work on their desks and walk around to guess what 'personality' each character has based on its shapes.
Watch Out for These Misconceptions
Common MisconceptionShapes must be closed loops with names we know.
What to Teach Instead
Students often think a shape isn't 'real' if it doesn't have a name like 'square.' Using 'found shape' activities helps them realize that any enclosed area, like a splash of paint, is a valid organic shape.
Common MisconceptionShapes cannot sit on top of each other in a drawing.
What to Teach Instead
Children often draw objects side-by-side to avoid 'ruining' them. Active modeling with paper cut-outs helps them see that overlapping creates a sense of depth and realism.
Suggested Methodologies
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Frequently Asked Questions
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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.
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.
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