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