Skill level
3-4 years, Advanced
Master skills important for preschool and pre-kindergarten math learning: count up to 10, add and subtract with objects, identify shapes, sort objects, recognize visual patterns, and more.
Numbers & Counting
Know number names and count forward to 10
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Count to find the number of objects (up to 10)
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Subitize up to 5
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Introduction to number line
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Understand number 0
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Ordinal numbers (up to tenth)
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Compare up to 10 objects (understand concepts of more, less, equal)
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Add and subtract within 10 using objects
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Solve addition and subtraction word problems using pictures
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Skip count by 2s with pictures
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Divide objects into 2 equal groups
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Identify halves
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Patterns in quantities
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Geometry
Use spatial language (above, below, top, bottom, beside, inside, outside, etc.) to describe relative position
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Recognize and name flat shapes (circle, triangle, square, rectangle, etc.)
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Identify basic flat shapes in a drawing and real-life objects
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Recognize rotated shapes
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See symmetry in shapes and objects
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Visually compare height and length of objects; find longest and shortest
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Measure the length of an object using smaller objects with visual help (2-3 units)
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3D shapes (sphere, cube, cone, cylinder)
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See shapes in everyday objects
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Match objects to their shadow
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Cut flat shapes into 2 parts, construct flat shapes from 2 parts
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Explore folding and unfolding (with manipulatives)
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Simple visual patterns
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Solve mazes with 2–3 turns
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Logic
Sort objects by color, size and shape
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Color, size and shape patterns
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Visual patterns with two attributes (color and shape, shape and size, etc.)
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Find all objects that satisfy the condition. For example, “Find all birds in red hats.”
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Same and different sets of objects
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Make sets of objects "different" or "the same"
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Find objects that are in "all" sets or in "only one" set
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Understand and follow verbal instructions
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Understand ‘AND’ operation. For example, “Find the shape: it is green AND a circle.”
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Understand ‘NOT’ operation. For example, “Find the shape: it is NOT a circle.”
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Tell if a trivial statement is TRUE. For example, “I have 3 heads. Is it true?”
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Algorithms
Apply simple operations to different objects to find the result (change color, put a triangle on top, etc.)
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Arrange events in chronological order
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Understand and follow simple algorithms (instructions)
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Build 2–3 step programs
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Introduction to grid coordinates using real-life examples
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