Teaching Tips

Understanding Bar Models for Word Problems

How Singapore Math bar models help children visualize and solve word problems systematically.

Math TeamJanuary 1, 20255 min read

Understanding Bar Models for Word Problems


Bar models (also called tape diagrams or strip diagrams) are a powerful visual tool from Singapore Math that helps students understand and solve word problems.


What Is a Bar Model?


A bar model represents quantities as rectangular bars. It provides a visual bridge between the concrete (objects) and abstract (equations).


Types of Bar Models


Part-Whole Model

Used for addition and subtraction problems:

  • Show the total as one bar
  • Divide into parts
  • Find missing part or whole

  • Comparison Model

    Used for comparing quantities:

  • Draw two bars of different lengths
  • Show the difference

  • Multiplication/Division Model

    Used for equal groups:

  • Draw multiple equal bars
  • Or divide one bar into equal parts

  • Example Problem


    "Sam has 24 stickers. He gives away 7 stickers. How many does he have left?"


    Bar Model Solution:

  • Draw one bar representing 24 (the whole)
  • Section off 7 (the part given away)
  • The remaining section is the answer

  • Teaching Tips


  • Start with concrete objects
  • Draw the bar model together
  • Connect to the equation
  • Practice many examples
  • Let students draw their own models

  • Practice What You Learned

    Reinforce these concepts with our free printable worksheets. Download instantly!

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