This page provides examples of math center activities aligned with the Early Childhood Assessment in Mathematics (Board of Education of the City of New York, 2001; State Education Department) continuum for addition and subtraction. These activities can be used by teachers or parents to support students' progress within a stage, or to promote movement to the next stage, on the continuum. For more information on using these centers in your classroom see the ECAM Centers page. For more examples of math centers aligned with the Early Childhood Assessment in Mathematics see the following pages: |

**Stage A:** These children are just
beginning to understand the concepts of putting small collections
together, or taking a small amount from a collection. They are not yet
successful in finding sums or differences.

Next Steps:

- Successfully put two small collections together and find the sum
- Find the difference after taking a small amount from a collection

**Stage B:** These children can
successfully put two small collections together and find the sum. They
can also find the difference after taking a small amount from a
collection. They need to fully model, and count from one by ones to find
their answers.

Next Steps:

- Begin to use ‘short-cuts’ to add two small collections, or to take a small amount from a collection (e.g.count on to find a sum, or count back, count down to, or count up from to find a difference)

**Stage C:** These children are beginning
to use short-cuts to add two small collections, or to take a small
amount from a collection. They only need part of a model, and either
count on to find a sum, or count back, count down to, or count up from
to find a difference.

Next Steps:

- Begin to use 'simpler' thinking strategies to add and subtract (adding one or zero, using doubles, turning around the addends, sums to ten, or adding ten)

**POSSIBLE ACTIVITIES**

Doubles Cover Up (ver. 2)

Find Ten

Make 10 on the Ten Frame (ver. 1)

Four in a Row Subtraction

Part Part Whole Cards

Turn Around Trains

Ten More

Both Addends Unknown Problems (within 10)

Towers of Ten

**Stage D:** These children are able to
add and subtract small amounts using 'simpler' thinking strategies
(adding one or zero, using doubles, ‘turning around’ the addends, sums
to ten, adding ten). They are able to mentally add and subtract small
numbers without making a model.

Next Steps:

- Use later thinking strategies (fact families, extending to larger numbers, near doubles, make to ten, adding nine).

**Stage E:** These children are able to
extend their thinking strategies to include larger numbers, and more
difficult calculations with small numbers. They add and subtract
mentally, using thinking strategies such as fact families, ‘near
doubles’, build to ten, and adding nine.