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Represent a problem with objects

A problem can be represented by objects or simple drawings that preserve the quantities and relationships in the situation: joining, separating, comparing, or forming equal groups. The representation makes clear which quantities are known or unknown and supports selecting addition, subtraction, multiplication, or sharing/grouping division with whole numbers in familiar ranges; it is a model of the situation, not merely a collection of objects or the final answer.

Detailed Explanation: Represent a problem with objects

To represent a word problem, make a drawing or use objects that show:

  • what each number means,
  • how the groups are related, and
  • what amount is unknown.

Example:
Mia has 7 apples. Then she gets 5 more apples. How many apples does she have now?

Step 1: Show the first group.
Draw 7 apples:

šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ

Step 2: Show what happens next.
Mia gets 5 more, so draw a second group:

šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ + šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ

The ++ sign shows that the two groups join together.

Step 3: Identify the unknown.
The question asks for the total number of apples. Put both groups together and count:

šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ šŸŽ

There are 1212 apples.

Step 4: Write the matching equation.

7+5=127+5=12

The drawing shows the situation: a group of 77 apples joins a group of 55 apples, making a total of 1212 apples.

Learn by doing: Represent a problem with objects

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Division - From Picture to Answer (Without Remainder)


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