**Math: Fact Family
Daisies**

**Supplies:**

**If you have them
available, give each student a real daisy**

**Yellow construction
paper, one per student**

**Paper plate | pencil**

**White construction
paper | petal pattern**

**Scissors | Scotch
tape**

**Index cards with
three one-digit numbers on each one**

*(NOTE:
this is four students in about fourth grade on up, but you can simplify it for
younger children by including fewer petals and concentrating just on addition,
for example.)*

Give each student a sheet of construction
paper and let them trace around a paper plate to make a circle. Then should cut
it out and draw a funny face on it. This will be the center of their "math
daisy."

Students should write their names on
their daisy "face."

*(To
save time, the leader might pre-cut 12 white construction paper "petals" for
each student. Or you can give each student a petal pattern and have them trace
and cut out 12 petals.)*

Now give each student an index card and have
them choose three single-digit (under 10) numbers to write on each card. They
should be three different numbers, from 0 to 9. For example:

1
8 9

or

2
3 5

Students can use any combination of
three single-digit numerals, though they should all be different.

Now turn the students' attention to
math fact families. Think of numbers as being like members of a great, big
family. Math fact families are about relationships between numbers. Just two
numbers, put together, create a "math fact family." But we're going to work
with three numbers to create more relationships that we can explore.

You can show these relationships of
different math fact families by putting them into an equation. The equations
can have to do with addition, subtraction, multiplication, or division.

Then you can see how these numbers interact
with each other, and with "relatives" - other numbers that can be brought into
that math fact family by addition, subtraction, multiplication or division.

We are going to create a daisy that
shows the family relationships between the three numbers each student has
written on their card.

Now have each student write a
different "fact" about the math relationships between those three numbers on their
card.

For example, the student whose three
numbers were "1, 8, 9" could write "1 + 8 = 9" and "9 - 8 = 1.They should try
to come up with at least 12 "fact families" for each index card.

After you have checked their math fact
families, they can copy each math fact on a petal, and tape the 12 petals to
the back of the yellow daisy face.

They should also write the three
numbers on the bottom of the daisy face so they can remember how these numbers
are related!

For example, for the student who chose
1, 8 and 9, here are several fact families that could be written on the petals:

1 + 8 = 9

8 + 1 = 9

1 + 8 + 9 = 18

9 - 1 = 8

9 - 8 = 1

9 - 8 - 1 = 0

8 - 1 = 7

8 - 7 = 1

8 + 9 = 17

9 + 8 = 17

8 + 1 + 9 = 18

9 + 1 + 8 = 18

9 + 8 + 1 = 18

1 + 9 + 8 = 18

8 + 9 + 1 = 18

And here are examples for a student who chose 2 3 5:

2 + 3 = 5

3 + 2 = 5

5 - 2 = 3

5 - 3 = 2

3 + 5 = 8

5 + 3 = 8

2 + 5 = 7

3 - 2 = 1

2 + 3 + 5 = 10

2 + 5 + 3 = 10

3 + 2 + 5 = 10

3 + 5 + 2 = 10

5 + 2 + 3 = 10

5 + 3 + 2 = 10

At the end of this activity, tape the
daisies on the board or send them home. Give each student a real daisy, and
each student should do the traditional "He loves me, he loves me not. . . ."
activity (or "she" if it's a male student!). They can pull off one petal for
each statement. Whatever statement you're on when you come to the last petal
(either "loves me" or "loves me not") is the magical "answer."

But NOT to a mathematical certainty!