Skill level
6-7 years, Basic
Master skills vital for grade 1 math learning: add and subtract 2-digit numbers, solve model word problems, use maps, create programs, understand logical operators, and more.
Numbers & Counting
Numbers up to 100 on the number line
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Use grouping to find number of objects
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Build number intuition with estimation (10 vs 100)
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2-digit numbers as tens and ones with objects and base 10 blocks
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Compare 2-digit numbers with and without visual representation
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Visual representation of 3-digit numbers with base 10 blocks
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Fluently add and subtract numbers up to 20
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Use addition and subtraction strategies for numbers up to 20
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Use base 10 blocks to add 2-digit numbers with regrouping
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Add and subtract 2-digit numbers on the number line
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Model addition and subtraction word problems using number line
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Balance addition and subtraction equations
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Multiplication by 2, 5 and 10
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Divide by counting equal groups
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Visual introduction to fractions
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Solve simple put-together and take-apart problems using picture graphs and bar graphs
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Introduction to probability: more or less likely
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Number patterns and puzzles based on addition and subtraction
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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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See symmetry in shapes and objects; complete shapes to make them symmetrical
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Explore mirror reflections
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Lines of symmetry, rotational 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 how 3D shapes look from above and from the sides
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Interpret a simple map and use it to find objects in a picture or real environment
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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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Solve complex mazes
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Visually compare area and perimeter of two simple shapes
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Visually find area and perimeter of shapes built from squares
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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 including arithmetic progression
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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 subsets of a set
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Find the intersection of two sets. For example, “Which objects are in both sets?”
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Understand ‘AND’ and ‘NOT’ instructions. For example, “Find the shape: it is green AND NOT a circle.”
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Understand the mathematical operator, ‘OR’. For example, “Choose all shapes that are either green OR a square.”
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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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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 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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