NYSTCE EARLY CHILDHOOD MATH
EXAM QUESTIONS AND ANSWERS 2026
VERIFIED.
Early number concepts - ANS foundational knowledge to understand numbers and their
values
cardinality - ANS the understanding that the last number stated when counting is the total
quantity
one-to-one correspondance - ANS matching one item to another in a specific order
ex. when counting objects, each object is assigned one number in the sequence
subitizing - ANS the ability to recognize the number of objects in a small group without
counting them individually
conservation - ANS the understanding that the quantity stays the same even if its appearance
changes
base -10 - ANS a place value system where each place in a number can have an integer value
of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
integer - ANS a whole number
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,digit - ANS a written symbol representing numbers 0-9
number names - ANS written form of number (i.e. 10 is ten)
expanded form - ANS identifying a number by adding all of the values of each digit
ex. 391 is 300+90+1
expanded notation - ANS provides a more complete view of how we arrived at the value of
each digit
ex. 391 is (3x100)+(9x10)+(1x1)
composing numbers - ANS combining parts of a number to make whole
decomposing number - ANS breaking apart a number into parts
rounding numbers and steps to do so - ANS simplifying complicated numbers/getting an
approximate number
i.e. rounding 3.6 to the nearest whole number is 4
1. identify place value you're rounding to
2.look at the digit to the right of that place value
3. 0-4 round down, 5-9 round up
rounding strategy: underline, circle, arrow - ANS underline the place value you're rounding
to, circle the digit that determines the rounding to the right, and draw an arrow determining if
you're rounding up or down
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, place value - ANS The value of a digit based on its position within a number
to the left of the decimal: ones, tens, hundreds, thousands, etc
to the right of the decimal: tenths, hundreths, thousandsths, etc
concrete models - ANS picture representations of mathematical operations
addition - ANS putting numbers together/finding the sum
subtracting - ANS breaking them apart/finding the difference
multiplication - ANS total of repeated groups/finding the product
think of repeated addition
division - ANS takes a total and breaks it into groups/finding the dividend
remainder - ANS the leftover value after doing division (what number doesn't fit into groups)
commutative property - ANS applies to addition and multiplication
regardless of the order of the addends or factors, the sum or product will stay the same
2+3 is the same as 3+2
4x3 is the same as 3x4
@COPYRIGHT ALL RIGHTS RESERVED PAGE 3 OF 24
EXAM QUESTIONS AND ANSWERS 2026
VERIFIED.
Early number concepts - ANS foundational knowledge to understand numbers and their
values
cardinality - ANS the understanding that the last number stated when counting is the total
quantity
one-to-one correspondance - ANS matching one item to another in a specific order
ex. when counting objects, each object is assigned one number in the sequence
subitizing - ANS the ability to recognize the number of objects in a small group without
counting them individually
conservation - ANS the understanding that the quantity stays the same even if its appearance
changes
base -10 - ANS a place value system where each place in a number can have an integer value
of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
integer - ANS a whole number
@COPYRIGHT ALL RIGHTS RESERVED PAGE 1 OF 24
,digit - ANS a written symbol representing numbers 0-9
number names - ANS written form of number (i.e. 10 is ten)
expanded form - ANS identifying a number by adding all of the values of each digit
ex. 391 is 300+90+1
expanded notation - ANS provides a more complete view of how we arrived at the value of
each digit
ex. 391 is (3x100)+(9x10)+(1x1)
composing numbers - ANS combining parts of a number to make whole
decomposing number - ANS breaking apart a number into parts
rounding numbers and steps to do so - ANS simplifying complicated numbers/getting an
approximate number
i.e. rounding 3.6 to the nearest whole number is 4
1. identify place value you're rounding to
2.look at the digit to the right of that place value
3. 0-4 round down, 5-9 round up
rounding strategy: underline, circle, arrow - ANS underline the place value you're rounding
to, circle the digit that determines the rounding to the right, and draw an arrow determining if
you're rounding up or down
@COPYRIGHT ALL RIGHTS RESERVED PAGE 2 OF 24
, place value - ANS The value of a digit based on its position within a number
to the left of the decimal: ones, tens, hundreds, thousands, etc
to the right of the decimal: tenths, hundreths, thousandsths, etc
concrete models - ANS picture representations of mathematical operations
addition - ANS putting numbers together/finding the sum
subtracting - ANS breaking them apart/finding the difference
multiplication - ANS total of repeated groups/finding the product
think of repeated addition
division - ANS takes a total and breaks it into groups/finding the dividend
remainder - ANS the leftover value after doing division (what number doesn't fit into groups)
commutative property - ANS applies to addition and multiplication
regardless of the order of the addends or factors, the sum or product will stay the same
2+3 is the same as 3+2
4x3 is the same as 3x4
@COPYRIGHT ALL RIGHTS RESERVED PAGE 3 OF 24
