Families by KGursky©
Please feel free
to link to this site and use all materials contained to help
children understand and master the addition and subtraction
facts. Do not copy materials and place them on your site.
The contents of this site were created by me many years ago
when I became frustrated over the lack of materials available
to help students practice and learn the basic addition and
subtraction facts. These materials have been shared
and used in my district for over 20 years. The Internet
now makes it possible to reach more children and teachers.
After much consideration, I have chosen to share these materials,
rather than to market them. I have spent many,
many hours preparing these materials for the Internet. Respect
for my time is appreciated.
First Grade Teacher and Workshop Presenter
The Number Family
Tubbing system was designed to help students master the
basic addition and subtraction facts. Rather than memorizing
hundreds of isolated facts, students learn the facts by
understanding and applying sound mathematical concepts and
patterns. This is not to say that some memorization is not
required to learn the facts, but it is not the primary tool
used to accomplish the goal.
Number families 5 through
18 are studied in class. A Number Family is a given number,
its partners (2 numbers that add up to the number), and
all of the addition and subtraction facts that can be
generated from the partners. A child working on the Number
Family of 8 would be studying and learning the partners
and all of the corresponding addition and subtraction
facts for 8. The timed test would consist of these facts,
plus a review of previously studied facts.
Math facts for the number
family of 8
For Number Families 11-18,
the highest partner number is 10. For example, 12 and
2 would not be included in the Family of 14 because
12 is higher than 10. Partners over 10 are not included
because place value is used to compute such problems.
The addition and subtraction facts that are generated
in the Number Family system include all of the facts
that students need to use when adding and subtracting
2, 3, 4+ place numbers.
View all of the facts 5-18
The following is a list
of all of the partners that are included in the Number
Families 5 through 18. . Students can learn how to make
make their own "t-bars" to help them learn
the partners and to see the patterns and relationships
between the numbers.
Before testing students to
place into Number Family Tubs, they should:
the concept of addition and subtraction
to solve unfamiliar addition and subtraction problems
pre-facts with automaticity: +-0, +-1, doubles to 10,
a firm understanding of what a number family is
how to find the partners for a given number
how to generate the addition and subtraction facts
for the partners in a family
how to use the Tub activities
how to organize materials and turn in completed
When students are ready to begin
Number Family Tubs, they are tested and placed into the
appropriate Number Family. Each student receives a small
packet of worksheets/activities designed to help him/her
learn his/her Number Family. When the packet is complete,
the child works in the "tub" for his/her number.
There is a tub for each of the numbers 5 through 16.
17 and 18 share a tub because they are studied at the same
time. Each tub is filled with games, flashcards and practice
activities designed to help the student master the Number
Family and pass onto the next number.
Families by KGursky
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