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All About Child -Mathematical DevelopmentPDF

Learning Goals for 4-5 Years – Mathematical Development

Rupa Sharat

All About Child

Mathematical Development

Mathematical development for 4-5 year children covers several elements like:

  1. Numbers for labelling and counting
  2. Reasoning
  3. Problem-solving
  4. Calculating
  5. Shape, Space and Measurement

Math’s should not be taught through worksheets but through everyday experiences in our daily activities. Children should be able to practice applying the math concepts every day. Activities should be laid as such that this can be achieved.

Numbers for labelling and counting

  • Counts reliably 5-10 objects
  • Says number names in order
  • Says numbers 10-1 backwards
  • Recognizes numbers 1-10 or more
  • Counts objects which cannot be moved e.g. objects drawn on paper
  • Counts by saying one number for each object
  • Knows that numbers can identify how many objects are there in a set/group
  • Beginning to represent numbers using fingers or marks on paper
  • Matches number and quantity up to 10 correctly
  • Estimates the number of objects and then counts to confirm
  • Recognizes numbers in the environment
  • Uses mathematical language like more and few to describe a group
  • Able to tell one more and sometimes one less than a given number

Reasoning and problem solving

  • Picks up puzzles with 12 or more pieces and solves them
  • Uses counting to count objects on paper, fixed objects etc.
  • Applies the concepts learnt in everyday activities
  • Matches numbers to the correct quantity
  • Sorts objects with two attributes e.g. in a box full of 4 shapes in 4 different colours- sort all the red circles, sort all the blue squares
  • Understands and uses positional language like- behind, on top of, in front of etc.
  • Uses common shapes to build the desired model


  • Understands one more OR one less
  • Compares two group of objects whether they are same or different, more or less
  • Understands that when two groups are put together they add up
  • Understands that numbers up to 9 can be made in different ways e.g. (0+9), (1+8), (2+7), (3+6), (4+5). Applies to all numbers from 1-9
  • Relates subtraction to taking away
  • Uses everyday language related to money

Shape, space and measurement

  • Shows an interest in shapes by playing with them, trying to construct something with them
  • Recognizes and labels 3D shapes
  • Selects
  • Uses everyday language related to time
  • Orders items by weight, size or capacity e.g. give me the heavier one, larger one
  • Relates to the shapes they have learnt to the shapes from the environment e.g. the wheel of the car is in the shape of a circle
  • Uses positional language
  • Talks about the shapes during play
  • Describes objects using language of shape
  • Uses vocabulary for size by using words like small, big, long, short
  • Uses vocabulary for weight like heavy, light

Click here to view/ download all six areas of development:View / Download

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