Mathematical Models:
Number Bonds
whole
part
part
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WCSD has had an elementary math and ELA
coach for this past year. We focused on
bringing back strategies and models for
teachers from NTI.
Now that teachers are becoming more
comfortable, we need to be proactive and show
parents how to help their child and what we
are doing in the classroom.
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September – Number Bonds (K-5)
October – Number Disks & Place Value Chart (1-5)
November – Array and Area Models (3-5)
December – Number Lines (K-5)
January – Ten-Frame & Rekenrek (K-1)
February – Tape Diagrams (K-1, 2-4, 5)
March – Tape Diagrams (K-1, 2-4, 5)
April – Problem - solving with models
May – Summer Math
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Mathematical models are a set of concrete and
pictorial models that students use repeatedly
across grade levels.
Over time, students become familiar with
these models and use them in more complex
ways to solve problems.
Mathematical models become part of their tool
box, which will help them have a quicker
understanding of concepts as they are
introduced.
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Number bonds are a pictorial representation of
part-part-whole relationships.
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Smaller numbers (the parts) make up larger
numbers (the whole)
part + part = whole
whole – part = part
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concrete objects
 abstract
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pictorial representations
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Orientation of the number bonds does not
change its meaning.
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Number bonds of 10 are the most important in
the lower grade levels.
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What do they look like?
Adding numbers
Decomposing numbers
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What do they look like?
Fractions
Time
Conversion of units
Adding/subtracting larger numbers
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Make and Take activities
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Apps
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Show your child multiple ways to solve
problems
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Plate activity
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Hanger and clothespins
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Puzzles
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Bracelets
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Ziploc bag with objects
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You tube video
How to Implement a Story of Units
Apps: Number Bonds Flash (android)
Online games:
http://www.mathplayground.com/PartPartW
hole.html
Number Bond Parent Pamphlet