A 2 year old should be smart enough to have several cognitive skills which include the ability to follow 2 step instructions, be able to sort shapes and colors and even engage in some simple make believe play.
2 year olds also often begin to use two word sentences and can understand familiar names and body parts and can also find objects which are hidden under multiple layers.
2 year olds should also be able to follow a set of directions such as touch your nose and give me a high five.
You can test your 2 year olds IQ through the Standford-Binet (SB5) and the Weschler Preschool and Primary Scale of Intelligence-III (WPPSI).
The Stanford-Binet can be given to children aged 2 and up and the WPPSI test can be given to kids ages 2 to 7 years of age.
You can often know if your 2 year old is gifted by the signs they show.
The signs that your 2 year old is gifted is the 2 year old can pay excellent attention to favorite TV shows or videos and know all colors, shapes, letters, sounds and numbers and may be able to do puzzles and make patterns with blocks.
Profoundly gifted 2 year olds and toddlers often also develop skills of reading, writing and even numerical processes years before other 2 year olds.
Other signs of a gifted 2 year old are they are able to read a story they've heard many times as they remember the words and patterns, they have excellent memories and retain information easily, they are often curious and ask a lot of questions and show a strong desire to learn, they can stay focused on tasks for longer periods, they may prefer interacting with older children or adults and they may approach problems or subjects differently or often with their own unique methods.
A gifted 2 year old may also build towers with 4 or more blocks and demonstrate their developing fine motor skills and spatial reasoning and engage in simple make believe games and might even play with others in a group and they can often sort shapes and colors and indicate an early understanding of categorization and follow two step instructions such as pick up your truck and put it on the shelf.
A 2 year old is often advanced if the 2 year old is developing ahead of other 2 year olds in certain areas like language and problem solving or if they are speaking in complete sentences with proper verb-noun agreement by or before age 2.
Other signs that your 2 year old could be advanced are they have a large vocabulary or are also quick to learn new words.
Most 2 year olds should start putting 2 to 3 words together such as "red apple" or "I go up".
And 2 year olds that are advanced may even use more than just simple words to express their needs such as "Help Me" or "I want cookie".
An advanced 2 year old may also show advanced problem solving skills by finding things that are hidden under multiple layers or exploring how things works and sorting of shapes and colors.
An advanced 2 year old may also have excellent memory and retain information easily or be able to recall details of past events that happened.
Advanced 2 year olds may also exhibit signs of abstract thinking, like coming up with their own idea or even coming up with creative additions to a task.
Most 2 year olds can also walk alone and are also beginning to run, stand on their tiptoes, kick a ball and climb on and off furniture unassisted.
And the 2 year old may be able to use cups and spoons, undress themselves and even push and pull toys.
A 2 year old will also start to become more independent and try to do things on their own and express their own needs or wants.
2 year olds also start to show awareness of their own feelings and the feelings of others, and may have rapid mood shifts.
All children also develop at their own pace and some kids are more advanced than others and there is a wide range of what is considered to be typical for a 2 year old.
A child may also be advanced in one area such as language but not in other areas such as social emotional development.
It's also important that you nurture your child's love of learning and also follow their interests, regardless of whether they are advanced or not.