GACE Elementary Education Practice test II Exam Questions
and Answers.
Geoboard - > A manipulative used to explore basic concepts from geometry such as
area, perimeter.
Number sense - > the ability to understand numbers and their relationships
Mode - > the most frequently occurring score(s) in a distribution
Median - > the middle score in a distribution; half the scores are above it and half are
below it
Mean - > arithmetic average
*a concept of equal distribution*
Range - > the difference between the highest and lowest scores in a distribution
manipulatives - > An object which is designed so that a learner can perceive some
mathematical concept by manipulating it
*Examples:* blocks, dominos
Geometry rotations - > a transformation that turns a figure about a fixed point called the
center of rotation
The rotations are the same shape and size, but may be turned in different directions
Geometrical reflection - > Shape or image is flipped across a line, so that the opposite
image is the exact same distance from the line as the original image
Geometric net - > A 2D representation of the surface area of a 3D figure
Tesselation - > pattern of repeating shapes with no gaps
, sequencing - > Placing information, concepts, and actions in order
order of magnitude - > the number rounded to the nearest power of 10
Commutative property - > The order in which numbers are added or multiplied does not
change the sum or product.
a+b = b+a
axb=bxa
Distributive property - > a number outside the parenthesis can be multiplied to each term
within the parenthesis
a(b + c) = ab + ac
Transitive property - > If a=b and b=c, then a=c.
Humans eat cows, cows eat grass, humans eat grass.
Reciprocal property - > if two ratios are equal, then their reciprocals are also equal
if a/b = c/d, then b/a = d/c
Cardinality principle - > the last count word in the counting sequence represents the total
number of items in the collection
Ordinal numbers - > numbers that describe position or order (first, second, third . . .)
Cardinal numbers - > The counting numbers; 1, 2, 3, 4...
Nominal numbers - > Numbers used for identification only
(Example: area code, sports jersey)
and Answers.
Geoboard - > A manipulative used to explore basic concepts from geometry such as
area, perimeter.
Number sense - > the ability to understand numbers and their relationships
Mode - > the most frequently occurring score(s) in a distribution
Median - > the middle score in a distribution; half the scores are above it and half are
below it
Mean - > arithmetic average
*a concept of equal distribution*
Range - > the difference between the highest and lowest scores in a distribution
manipulatives - > An object which is designed so that a learner can perceive some
mathematical concept by manipulating it
*Examples:* blocks, dominos
Geometry rotations - > a transformation that turns a figure about a fixed point called the
center of rotation
The rotations are the same shape and size, but may be turned in different directions
Geometrical reflection - > Shape or image is flipped across a line, so that the opposite
image is the exact same distance from the line as the original image
Geometric net - > A 2D representation of the surface area of a 3D figure
Tesselation - > pattern of repeating shapes with no gaps
, sequencing - > Placing information, concepts, and actions in order
order of magnitude - > the number rounded to the nearest power of 10
Commutative property - > The order in which numbers are added or multiplied does not
change the sum or product.
a+b = b+a
axb=bxa
Distributive property - > a number outside the parenthesis can be multiplied to each term
within the parenthesis
a(b + c) = ab + ac
Transitive property - > If a=b and b=c, then a=c.
Humans eat cows, cows eat grass, humans eat grass.
Reciprocal property - > if two ratios are equal, then their reciprocals are also equal
if a/b = c/d, then b/a = d/c
Cardinality principle - > the last count word in the counting sequence represents the total
number of items in the collection
Ordinal numbers - > numbers that describe position or order (first, second, third . . .)
Cardinal numbers - > The counting numbers; 1, 2, 3, 4...
Nominal numbers - > Numbers used for identification only
(Example: area code, sports jersey)
