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Comm. Prop. Of Add./Mult.

Assoc. Prop. Of Add./Mult.

Add. Prop. of Zero (Identity Prop. Of…

Mult. Prop. Of Zero

Changing the order Ex. 5+3=3+5 or 5x3=3x5

Changing number in the parentheses Ex. (5+3)+7=5+(3+7) or (5x…

If you add zero to a number, the number stays the same Ex. 5+…

Any number Multiplied by zero equals zero ... Ex. 5x0=0

Comm. Prop. Of Add./Mult.

Changing the order Ex. 5+3=3+5 or 5x3=3x5

Assoc. Prop. Of Add./Mult.

Changing number in the parentheses Ex. (5+3)+7=5+(3+7) or (5x…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one o…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one o…

terms

parts of an algebraic expression

Commutative Property of Addition/Multi…

Associative Property of Addition/Multi…

Addition Property of Zero/ Identity Pr…

Multiplication Property of Zero

Changing the order, 5+3=3+5 or 3**5=5**3

Changing the numbers inside the parenthesis, ... (5+3)+7= 5+(3+7…

If you add zero to a number the number stays the same,... 5+0=5

Any number multiplied by zero equals zero, 5*0=0

Commutative Property of Addition/Multi…

Changing the order, 5+3=3+5 or 3**5=5**3

Associative Property of Addition/Multi…

Changing the numbers inside the parenthesis, ... (5+3)+7= 5+(3+7…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one o…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one o…

terms

parts of an algebraic expression

Comm. Prop. of add./mult.

Assoc. Prop. add./mult.

Add. Prop. of zero

Mult. Prop. of zero

switches the order 5+3=3+5/5**3=3**5

changes the numbers inside the parentheses (5+3)+7=(7+3)+5/(5…

If you add 0 to a number the number stays the same 5+0=5

Any number mult. by 0 equals 0 5*0=0

Comm. Prop. of add./mult.

switches the order 5+3=3+5/5**3=3**5

Assoc. Prop. add./mult.

changes the numbers inside the parentheses (5+3)+7=(7+3)+5/(5…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one o…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one o…

terms

parts of an algebraic expression

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one o…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one o…

terms

parts of an algebraic expression

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

corresponding angles postulate

alternate interior angles theorem

same side interior angles theorem

alternate exterior angles theorem

if a transversal intersects two parallel lines then correspon…

if a transversal intersects two parallel lines then alternate…

if a transversal intersects two parallel lines then same side…

if a transversal intersects two parallel lines that alternate…

corresponding angles postulate

if a transversal intersects two parallel lines then correspon…

alternate interior angles theorem

if a transversal intersects two parallel lines then alternate…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

20 + 10 = 10 +20

15(yz) = (15y)z

h + 0=h

100k = k(100)

Communicative property of Addition

Associative property of multiplication

Identity property of addition

communicative property of multiplication

20 + 10 = 10 +20

Communicative property of Addition

15(yz) = (15y)z

Associative property of multiplication

Parallel Postulate

Perpendicular Postulate

Corresponding Angle Postulate

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Vertical Angles

Adjacent Angles

Complementary Angles

Supplementary Angles

Share a vertex, don't an overlap and don't share a side. They…

Angles that are next to each other, share a vertex, and share…

Two angles that add up to 90 degrees

Two angles that add up to 180 degrees

Vertical Angles

Share a vertex, don't an overlap and don't share a side. They…

Adjacent Angles

Angles that are next to each other, share a vertex, and share…

like terms

simplest form

linear expression

factoring an expression

terms that have the same variables raised to the same exponents

an algebraic expression has no like terms and no parentheses

an algebraic expression in which the exponent of the variable…

write the expression as a product of factors using the distri…

like terms

terms that have the same variables raised to the same exponents

simplest form

an algebraic expression has no like terms and no parentheses

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Variable -

Expression -

Commutative Property -

Associative Property -

usually a letter, used to represent an unknown or changing qu…

a mathematical sentence that does not contain an equal sign.

you can +/x numbers in any order. "Turn Around" (Ex: 5 + 7 =…

when you +/x you can group numbers as you like, without chang…

Variable -

usually a letter, used to represent an unknown or changing qu…

Expression -

a mathematical sentence that does not contain an equal sign.

fact family

dividend

divisor

unknown

a group of related facts using the same numbers

a number that is being divided

a number that divides the dividend

a missing value in a number sentence or equation

fact family

a group of related facts using the same numbers

dividend

a number that is being divided

Alternate Exterior Angles

Alternate Interior Angles

Consecutive Interior Angles

Corresponding Angles

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Alternate Exterior Angles

Two angles that are formed by two lines and a transversal tha…

Alternate Interior Angles

Two angles that are formed by two lines and a transversal tha…

subtraction

difference

subtraction sentence

estimate

an operation that tells the difference, when some or all are…

the answer to a subtraction problem

a number sentence in which one quantity is taken away from an…

a number close to the exact number

subtraction

an operation that tells the difference, when some or all are…

difference

the answer to a subtraction problem

Terms

Like Terms

Simplest Form

Linear Expression

The parts of an algebraic expression

Terms that have the same variable and raised to the same expo…

When the algebraic expression has no like terms and no parent…

An algebraic expression in which the exponent of the variable…

Terms

The parts of an algebraic expression

Like Terms

Terms that have the same variable and raised to the same expo…

Integer

Negative Integer

Positive Integer

Graph

Any number from the set (...., -4, -3, -2, -1, 0, 1, 2, 3, 4,…

An integer that is less than zero. Negative integers are writ…

An integer that is greater than zero. They are written with o…

The process of placing a point on a number line or on a coord…

Integer

Any number from the set (...., -4, -3, -2, -1, 0, 1, 2, 3, 4,…

Negative Integer

An integer that is less than zero. Negative integers are writ…

array

Commutative Property of Multiplication

equal groups

factor

a set of objects arranged in rows and columns

the property that states that you can multiply two factors in…

groups that have the same number of objects. For example, 5x6…

a number that is multiplied by another number to find a product

array

a set of objects arranged in rows and columns

Commutative Property of Multiplication

the property that states that you can multiply two factors in…

additive inverse

commutative property

multiplicative inverse

quotient

The number you need to add to a given number to get a sum of…

(for addition)The Commutative Property of Addition states tha…

The multiplicative inverse for a non-zero number is the numbe…

The result of a division problem.

additive inverse

The number you need to add to a given number to get a sum of…

commutative property

(for addition)The Commutative Property of Addition states tha…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

array

equal groups

Commutative Property of Multiplication

factor

a set of objects arranged in columns and rows

groups that have the same number of objects

you can multiply two factors in any order and get the same pr…

a number that is multiplied by another number to find a produ…

array

a set of objects arranged in columns and rows

equal groups

groups that have the same number of objects

multiple

least common denominator(LCD)

benchmark

mixed number

The product of a given whole number and any other whole number.

The least common multiple of the denominators of two or more…

Numbers which are easier to work with and to picture than oth…

A number made up of a whole number and a fraction.

multiple

The product of a given whole number and any other whole number.

least common denominator(LCD)

The least common multiple of the denominators of two or more…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

matter

property

mass

chemical property

anything that has mass and volume

characteristic of a substance

amount of matter in a substance

property that describes how a substance changes into a new su…

matter

anything that has mass and volume

property

characteristic of a substance

chemical properties

physical properties

extensive property

intensive property

These describe a substance's ability to combine with or chang…

These can be observed without altering a substance's composit…

One type of physical property. These are dependent on the amo…

Another type of physical property. These are independent of t…

chemical properties

These describe a substance's ability to combine with or chang…

physical properties

These can be observed without altering a substance's composit…

Addition Property of Inequality

Division Property of Inequality

Inequality

Multiplication Property of Inequality

The Addition Property of Inequality states that if you add th…

The Division Property of Inequality states that if you divide…

An inequality is a mathematical sentence that contains one of…

The Multiplication Property of Inequality states that if you…

Addition Property of Inequality

The Addition Property of Inequality states that if you add th…

Division Property of Inequality

The Division Property of Inequality states that if you divide…

Associative Property of Multiplication

Commutative Property of Multiplication

decompose

dividend

the grouping of the factors does not change the product

the order in which two numbers are multiplied does not change…

to break apart a number

a number that is being divided

Associative Property of Multiplication

the grouping of the factors does not change the product

Commutative Property of Multiplication

the order in which two numbers are multiplied does not change…

array

Commutative Property of Mulitiplication

Identity Property of Multiplication

Product

A set of objects arranged in rows and columns.

The property that states that you can multiply 2 factors in a…

The property that states that the product of any number and 1…

The answer in a multiplication problem.

array

A set of objects arranged in rows and columns.

Commutative Property of Mulitiplication

The property that states that you can multiply 2 factors in a…

array

Commutative Property of Multiplication

equal groups

factor

a set of objects arranged in rows and columns

the property that states that you can multiply two factors in…

groups that have the same number of objects. For example, 5x6…

a number that is multiplied by another number to find a product

array

a set of objects arranged in rows and columns

Commutative Property of Multiplication

the property that states that you can multiply two factors in…

fact family

factor

product

dividend

a set of four related multiplication and division facts that…

a number being multiplied

the answer to a multiplication problem.

a number being divided

fact family

a set of four related multiplication and division facts that…

factor

a number being multiplied

array

Commutative Property of Multiplication

equal groups

factor

a set of objects arranged in rows and columns

the property that states that you can multiply two factors in…

groups that have the same number of objects

a number that is multiplied by another number to find the pro…

array

a set of objects arranged in rows and columns

Commutative Property of Multiplication

the property that states that you can multiply two factors in…

Why do we care about water?

Water molecule

Covalent bond.

Hydrogene bonding

- Water has many unique thermal and dissolving properties.... -…

Water is held together with a strong covalent bond.

Bond between two hydrogen and one oxygen atoms.

Weaker than covalent bonds but still strong enough to contrib…

Why do we care about water?

- Water has many unique thermal and dissolving properties.... -…

Water molecule

Water is held together with a strong covalent bond.

array

Commutative Property of Multiplication

equal groups

factor

a set of objects arranged in rows and columns

the property that states that you can multiply two factors in…

groups that have the same number of objects. For example, 5 x…

a number that is multiplied by another number to find a product

array

a set of objects arranged in rows and columns

Commutative Property of Multiplication

the property that states that you can multiply two factors in…

Compatible numbers

Associative Property of Multiplication

Commutative Property of Multiplication

estimate

Numbers that are easy to compute with mentally.

The property that states that when the regrouping of factors…

The property that states when the order of two factors is cha…

To find an answer that is close to the exact amount.

Compatible numbers

Numbers that are easy to compute with mentally.

Associative Property of Multiplication

The property that states that when the regrouping of factors…

Algebraic expression

terms

Variable

Coefficient

An expression that contains numbers, operations, and variables.

parts of an expression separated by addition or subtraction s…

A letter that represents an unknown value

The numerical factor of a term that contains a variable.

Algebraic expression

An expression that contains numbers, operations, and variables.

terms

parts of an expression separated by addition or subtraction s…