Why do this
problem?
This problem addresses a difficulty that many children
experience with the numbers from ten to twenty. The "teens" often
cause more trouble than other decades up to $100$. English speakers
have a particular problem because of the irregularity of the
language used. "Fourteen" can so easily be muddled with "forty" so
that many children will write "$41$" instead of "$14$".
Possible approach
This problem would fit in well in a lesson on tens and units
or on place value. It can also be used to address difficulties that
some children have with the numbers from ten to twenty. You could
start by discussing how a number, for example, fifteen is made up
from $10$ and $5$.
These cards could
be used to introduce the problem. They can also be useful as a set
of cards for matching activities or for continuing the problem in
pairs with one child removing three cards and the other working out
which ones are missing. For long-term use the cards should be
laminated.
Key questions
What goes with ten to make this number?
What goes with this number (for example, $3$) to make this number
(for example, $13$)?
Possible extension
The cards could be used
by pairs to make up a game for other children to play.
Possible support
When children are counting together make sure that the "teens"
are well differentiated from the "tens", for example, that
"sixteen" is well differentiated from "sixty".
Some children respond well to using the counting from
Catherine Stern's book "Children Discover Arithmetic". It can be
called something like "Funny Counting". The numbers between $9$ and
$22$ go, "onety, onety-one, onety-two ..... onety-nine, twoty,
twoty-one..." The numbers get quite regular with this counting at
60!