Skill level
6-7 years, Advanced
Master skills crucial for grade 2 math learning: add and subtract with regrouping, solve equations, split and combine shapes, recognize number patterns, use multiplication and division, and more.
Numbers & Counting
Numbers up to 100 on the number line
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Use grouping, addition and multiplication to count objects
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Build number intuition with estimation (10 vs 50 vs 200)
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Visual representation of 3-digit numbers with base 10 blocks
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Compare 2-digit numbers
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Compare 3-digit numbers using their representation with base 10 blocks
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Add and subtract 2-digit numbers using number line and base 10 representation
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Mentally add and subtract 2-digit numbers
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Use addition and subtraction strategies for 2-digit numbers
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Visually add 3-digit numbers with base 10 blocks or place value disks
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Model 2-step word problems with mixed operations
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Balance addition and subtraction equations
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System of equations represented as "head and legs" problems
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Multiplication by 2, 5 and 10
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Multiplication by 3 as (2+1) and by 4 as (5−1)
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Solve multiplication equations represented with pictures
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Describe colored parts of a shape as a fraction
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Solve put-together and take-apart problems using picture graphs and bar graphs
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Introduction to combinatorics: find all possible combinations of objects using visual aids
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Solve number puzzles based on addition, subtraction and multiplication
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Geometry
Use spatial language (on, under, top, bottom, on the right, on the left, etc.) to describe relative position
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Left and right. Understand relative left and right; show left and right for characters in different orientations
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Recognize and name rotated flat shapes (circle, triangle, square, rectangle, etc.)
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Identify and name polygons (quadrilateral, pentagon, etc.)
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Count and compare number of angles and sides in polygons
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Compose and decompose polygons
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Lines and intersection points
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Explore symmetry; find all lines of symmetry
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Measure the length or height of an object using smaller objects or units
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3D shapes (sphere, cube, cone, cylinder)
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Vertices, edges and faces in 3D shapes
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Build models of 3D shapes
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Explore projections
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Interpret simple maps
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Introduction to coordinate axes
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3D shapes built from cubes (find identical shapes, count the number of cubes, etc.)
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Mentally join and overlap flat shapes
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Mentally fold and rotate shapes
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Complete visual patterns, visual reasoning by analogy
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Visually find area and perimeter of shapes built from squares
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Calculate area and perimeter of more complex shapes
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Logic
Sort objects using Venn diagrams
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Visual patterns with two or more attributes
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Growing patterns with objects and numbers
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Use serial reasoning and reasoning by analogy
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Odd one out
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Number patterns based on addition, subtraction and multiplication
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Continue the sequence to satisfy two conditions. For example, “Сomplete the sequence so that only 2 shapes are red and only one is a circle.”
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Complete the sequence by changing only one attribute at a time (shape, color or size)
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Find the intersection of two sets. For example, “Which objects are in both sets?”
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Find the union of two sets. For example, “Which objects are at least in one of the sets?”
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Logical operators ‘AND’ and ‘OR’
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‘TRUE’ and ‘FALSE’ statements. For example, “This shape is green and not a circle. True or false?”
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Check if ‘ALL’ statement is TRUE. For example, “All cats are black. True or false?”
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Check if ‘SOME’ statement is TRUE. For example, “Some cats are black. True or false?”
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Solve logic puzzles with two steps. For example, “Alice and Eric live in houses 1 and 2. Alice doesn’t live in house number 2. Who lives where?”
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Solve logic puzzles with false statements. For example, “Parrot always lies. It says: I am not green. Which color is it?”
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Algorithms
Apply given operations to various objects to find the result (change all triangles in the picture to squares, etc.)
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Reverse simple operations. For example, “I changed all triangles in the picture to squares. Find all possible variants of the original picture”
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Arrange events in chronological order
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Build 5–8 step programs
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Introduction to loops
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Use ‘IF–ELSE’ statement
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Understand block diagrams
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Use coordinates to find the location of an object on the grid
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Solve puzzles based on chess moves
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Introduction to graphs: vertices and edges; find identical graphs
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