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Represent a problem with a drawing

A mathematical drawing represents the quantities, actions, and relationships in a problem, such as joining, separating, comparing, equal groups, or arranging objects in rows and columns. Drawings may include labeled bar models, number lines, arrays, or simple object representations and should preserve the location of the unknown, helping distinguish the whole, parts, difference, and equal groups; formal diagrams for more advanced or generalized problems are not included.

Detailed Explanation: Represent a problem with a drawing

A mathematical drawing helps you see the quantities and how they are related. First, decide whether the problem shows joining, separating, comparing, or equal groups. Then draw and label the known numbers and the unknown.

Example:
Mia has 88 stickers. Her friend gives her 55 more stickers. How many stickers does Mia have now?

  1. Find the action.
    Mia gets more stickers, so this is a joining problem.

  2. Find the parts and the whole.

    • One part is 88 stickers.
    • The other part is 55 stickers.
    • The whole is the total number of stickers. It is unknown.
  3. Draw a labeled bar model.
    Draw one bar for the whole and split it into the two parts:

    Whole:  [             ? stickers             ]
    Parts:  [ 8 stickers ] [ 5 stickers ]
    

    The question mark is on the whole because the problem asks for the total.

  4. Use the drawing to write a number sentence.

8+5=?8+5=?
  1. Solve and check the drawing.

8+5=138+5=13

Mia has (13)(13) stickers. The two parts, 88 and 55, join to make the whole, (13)(13).

Learn by doing: Represent a problem with a drawing

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Counting in Groups - Pictures (Ladybug Spots)


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