TExES Core Subjects EC-6 (291) - MATH
AAS (Angle-Angle-Side) - ANS-If two pairs of angles of two triangles are equal in
measurement and a pair of corresponding sides is of equal length, then the triangles are
congruent
An acute angle (ANS) of less than 90 degrees Acute triangle - ANS-all angles in the triangle
are acute
algebraic expression (ANS) is a mathematical expression that does not include a relation
symbol (for example, 5y + 8) but is written with one or more variables and constants. Angle -
ANS-formed when two rays or lines share an endpoint
Area of a circle - ANS-𝑨 = 𝛑𝒓²
Area of a parallelogram - ANS-𝑨 = 𝒃𝒉
Area of a rectangle - ANS-𝑨 = 𝒍 × 𝒘
Area of a square - ANS-𝑨 = s²
Area of a triangle - ANS-𝑨 = ½𝒃𝒉
ASA (Angle-Side-Angle) - ANS-If two pairs of angles of two triangles are equal in
measurement, and the included sides are equal in length, then the triangles are congruent
Associative property of multiplication and division - ANS-The order of the addends or factors
will not change the sum or the product;
addition ex. (a+b) + c = a + (b+c)
multiplication, for instance, (a b) c = a (b) c Axiom - ANS-a mathematical rule
Chord - ANS-any segment that goes from one point on the edge of a circle to any other
point on the edge
ANS-C = 2r or C = d for the circumference coefficient - ANS-the number that precedes the
variable to give the quantity of a variable in the expression (ex. in the expression 5x + 6, 5 is
the coefficient of x)
common denominator - ANS-number that is a multiple of the original denominators
Commutative property - ANS-The order of the addends (terms being added) or factors (in
multiplication) do not change the result;
addition ex. a + b = b + a
multiplication ex. a × b = b × a
Complementary angles - ANS-two angles that add up to 90°
Composite numbers - ANS-natural numbers greater than zero that are divisible by at least
one other number besides 1 and themselves; they have at least 3 factors, such as 9 having
1, 3, and 9
Congruent angles - ANS-two angles that have the same size (regardless of how long their
rays might be drawn)
∠m ≌ ∠n "angle m is congruent to angle n"
Deductive reasoning - ANS-moving from an assumption to a conclusion; moving from the
general to the specific
Define divisor and dividend - ANS-Divsor = number doing the dividing Dividend = number
being divided
Define monomial, binomial, and trinomial - ANS-monomial = 1 term = ex. 3xy²
, 2 terms equals, for example, 5x - 1. trinomial is equal to 3x + 5y2 - 3. Degree - ANS-the unit
of measure in when an angle is created
A straight line segment that passes through the center of a circle from one edge to the other
is called a diameter (ANS). Distributive property - ANS-everything within the parentheses
needs to be multiplied by the number on the outside
a(b+c) = a x (b+c)
8(5+2) = 8x7 = 56
a(b+c) = (a x b) + (a x c)
8(5 +2) = (8 x 5) + (8 x 2) = 56
Equilateral triangle - ANS-all sides are equal; also called equiangular since all angles are
also equal
Expanded form - ANS-shows the place value of each digit; example 542 = 500 + 40 + 2,
which is equal to 5 hundreds, 4 tens, and 2 ones
Face - ANS-each of the plane regions (sides) of a geometric body
Formula for number of faces, edges, and vertices - ANS-𝑭 + 𝑽 = 𝑬 + 2
ANS: The fundamental rule of counting states that if there are m ways to perform one action
and n ways to perform another, then there are m ways to perform both. Ex. If you can
choose between 6 shirts, 4 pairs of pants, and 3 pairs of shoes to wear, you would have 6 ×
4 × 3 = 72 possible outfit combinations.
Geometric figures are congruent if... - ANS-they have the same exact shape and size
Geometric figures are similar if... - ANS-they have the exact same shapes, even if they do
not have the same sizes
Greatest common divisor - ANS-the largest positive integer that divides into the numbers
without producing a remainder
Homogeneous fraction - ANS-fractions with the same denominator
How can rational numbers be expressed? - ANS-As common fractions or decimals
How do you divide fractions? - ANS-take the reciprocal of the second fraction (the one doing
the dividing) and multiply them together
How do you factor a polynomial? - ANS-Rewrite a polynomial as the product of factors
x² - 11x + 28
(x - 4) × (x - 7)
Note: you can check your answer by FOILing the binomials that are your answer.
(x - 4) × (x - 7)
x² - 7x - 4x + 28
x² - 11x + 28
How do you multiply binomials? - ANS-FOIL - first, outer, inner, last
(x + 3) × (2x - 5)
2x² - 5x + 6x - 15
2x² + x - 15
How do you multiply exponents? - ANS-Multiply the constant terms and add the exponents;
ex. 4w² × 8w³ = (4×8)w²+³ = 32w⁵
How do you multiply fractions? - ANS-Multiply the numerators and denominators
horizontally and then simplify the remaining product
How do you perform prime factorization? - ANS-Factor a known prime number into the
given number; repeat on all factors until no more factorization can take place
How much do the angles of all triangles add up to? - ANS-180°
AAS (Angle-Angle-Side) - ANS-If two pairs of angles of two triangles are equal in
measurement and a pair of corresponding sides is of equal length, then the triangles are
congruent
An acute angle (ANS) of less than 90 degrees Acute triangle - ANS-all angles in the triangle
are acute
algebraic expression (ANS) is a mathematical expression that does not include a relation
symbol (for example, 5y + 8) but is written with one or more variables and constants. Angle -
ANS-formed when two rays or lines share an endpoint
Area of a circle - ANS-𝑨 = 𝛑𝒓²
Area of a parallelogram - ANS-𝑨 = 𝒃𝒉
Area of a rectangle - ANS-𝑨 = 𝒍 × 𝒘
Area of a square - ANS-𝑨 = s²
Area of a triangle - ANS-𝑨 = ½𝒃𝒉
ASA (Angle-Side-Angle) - ANS-If two pairs of angles of two triangles are equal in
measurement, and the included sides are equal in length, then the triangles are congruent
Associative property of multiplication and division - ANS-The order of the addends or factors
will not change the sum or the product;
addition ex. (a+b) + c = a + (b+c)
multiplication, for instance, (a b) c = a (b) c Axiom - ANS-a mathematical rule
Chord - ANS-any segment that goes from one point on the edge of a circle to any other
point on the edge
ANS-C = 2r or C = d for the circumference coefficient - ANS-the number that precedes the
variable to give the quantity of a variable in the expression (ex. in the expression 5x + 6, 5 is
the coefficient of x)
common denominator - ANS-number that is a multiple of the original denominators
Commutative property - ANS-The order of the addends (terms being added) or factors (in
multiplication) do not change the result;
addition ex. a + b = b + a
multiplication ex. a × b = b × a
Complementary angles - ANS-two angles that add up to 90°
Composite numbers - ANS-natural numbers greater than zero that are divisible by at least
one other number besides 1 and themselves; they have at least 3 factors, such as 9 having
1, 3, and 9
Congruent angles - ANS-two angles that have the same size (regardless of how long their
rays might be drawn)
∠m ≌ ∠n "angle m is congruent to angle n"
Deductive reasoning - ANS-moving from an assumption to a conclusion; moving from the
general to the specific
Define divisor and dividend - ANS-Divsor = number doing the dividing Dividend = number
being divided
Define monomial, binomial, and trinomial - ANS-monomial = 1 term = ex. 3xy²
, 2 terms equals, for example, 5x - 1. trinomial is equal to 3x + 5y2 - 3. Degree - ANS-the unit
of measure in when an angle is created
A straight line segment that passes through the center of a circle from one edge to the other
is called a diameter (ANS). Distributive property - ANS-everything within the parentheses
needs to be multiplied by the number on the outside
a(b+c) = a x (b+c)
8(5+2) = 8x7 = 56
a(b+c) = (a x b) + (a x c)
8(5 +2) = (8 x 5) + (8 x 2) = 56
Equilateral triangle - ANS-all sides are equal; also called equiangular since all angles are
also equal
Expanded form - ANS-shows the place value of each digit; example 542 = 500 + 40 + 2,
which is equal to 5 hundreds, 4 tens, and 2 ones
Face - ANS-each of the plane regions (sides) of a geometric body
Formula for number of faces, edges, and vertices - ANS-𝑭 + 𝑽 = 𝑬 + 2
ANS: The fundamental rule of counting states that if there are m ways to perform one action
and n ways to perform another, then there are m ways to perform both. Ex. If you can
choose between 6 shirts, 4 pairs of pants, and 3 pairs of shoes to wear, you would have 6 ×
4 × 3 = 72 possible outfit combinations.
Geometric figures are congruent if... - ANS-they have the same exact shape and size
Geometric figures are similar if... - ANS-they have the exact same shapes, even if they do
not have the same sizes
Greatest common divisor - ANS-the largest positive integer that divides into the numbers
without producing a remainder
Homogeneous fraction - ANS-fractions with the same denominator
How can rational numbers be expressed? - ANS-As common fractions or decimals
How do you divide fractions? - ANS-take the reciprocal of the second fraction (the one doing
the dividing) and multiply them together
How do you factor a polynomial? - ANS-Rewrite a polynomial as the product of factors
x² - 11x + 28
(x - 4) × (x - 7)
Note: you can check your answer by FOILing the binomials that are your answer.
(x - 4) × (x - 7)
x² - 7x - 4x + 28
x² - 11x + 28
How do you multiply binomials? - ANS-FOIL - first, outer, inner, last
(x + 3) × (2x - 5)
2x² - 5x + 6x - 15
2x² + x - 15
How do you multiply exponents? - ANS-Multiply the constant terms and add the exponents;
ex. 4w² × 8w³ = (4×8)w²+³ = 32w⁵
How do you multiply fractions? - ANS-Multiply the numerators and denominators
horizontally and then simplify the remaining product
How do you perform prime factorization? - ANS-Factor a known prime number into the
given number; repeat on all factors until no more factorization can take place
How much do the angles of all triangles add up to? - ANS-180°
