# Teacher Chapter 1 Notes (1)

```Chapter 1 Notes
Math Key Words
Operation
Key Words
Examples
Total
Increase
Sum
Plus
More
4+5
Subtraction
Minus
Decrease
Loss
Less
Difference
Take Away
Fewer
Subtract
5-4
Multiplication
Multiply
Times
Product
Double
Triple
3x4
3•4
3n
Division
Divide
Split Equally
Quotient
Per
10 &divide; 2
3*4
3(4)
10/2
10
2
Order of
Operations
➗
➗
PEMDAS
3 + (13 - 3)
5
Parentheses, Exponents,
3 + 10
5
3 + 2
&amp; Subtraction
5
Chapter 1-1 Notes
Vocabulary
Definition
Example
Combination
Any of the ways we can Choices for Item 1 x Choices for
combine things, when Item 2 = Total Combinations
the order does not
matter
Factor
A number that divides
another number with no
remainders
Product
multiplication problem
Table
Information arranged in
rows and columns
Tree Diagram A structure used to
calculate the number of
possible outcomes
Chapter 1-2 Notes
Vocabulary
Definition
Example
Comparison
A way of showing whether one
n x smaller number =
quantity is greater than, less than larger number
or equal to another quantity.
1
n x larger number =
smaller number
Chapter 1-3 Notes
Vocabulary
Definition
Area
The amount of surface measured
in square units
Array
An arrangement of equal columns
and equal rows
Equal Groups Groups that have the same
number of objects
AREA VS ARRAY
Example
Chapter 1-4 Notes
Vocabulary
Definition
Factor
REVIEW
Product
REVIEW
Example
Chapter 1-5 Notes
Vocabulary
Definition
Example
Function
Relationship between two sets of
numbers
There are 60 seconds in
1 minute
Variable
A symbol (usually a letter) that
stands for one or more unknown
numbers.
x+3=6
x is the variable
Chapter 1-6 Notes
Vocabulary
Definition
Example
Equation
A statement that two expressions 1 + 1 = 2
are equal
6+2=4+4
Parentheses
( )
Symbols used to group numbers
or variables
Parentheses also tell which
operation to perform first
4 • (2 + 5)
Chapter 1-7 Notes
Vocabulary
Definition
Combination
REVIEW
Comparison
REVIEW
Language
Language in comparing
sentences that may cause you to
do the wrong thing
Example
John’s age is 3 ​more
than​ Jessica. If John is
12, how old is Jessica?
Chapter 1-8 Notes
Vocabulary
Definition
Example
A relationship in which two items 6 + 2 = 4 + 4
Proportional
1 minute = 60 seconds
Relationships are equal
Chapter 1-9 Notes
Vocabulary
Definition
Example
Comparison
Chain
Following the order of operations
and rewriting the equation to
solve
3 + (13 - 3)
5
3 + 10
5
3 + 2
5
Algebraic
Chain
Combining like terms and
rewriting the problem to solve for
the variable
➗
➗
a + 3a = 36
4a = 36
a=9
Chapter 1-10 Notes
Vocabulary
Definition
Example
Commutative
Property
Adding or Multiplying numbers 7​ + 1
​ 2​ = ​12​ + 7
​
in any order to get the same
7​ • 1
​ 2​ = ​12​ •​ 7
Associative
Property
Changing the parentheses with (​4​ + ​7​) + ​3​ = ​4​ + (​7​ + ​3​)
(​4​ • ​7​) • ​3​ = 4
​ ​ • (​7​ • ​3)​
Distributive
Property
Multiply the outside number
with all inside numbers
3​(​2​ + ​7)​ = ​3​ • ​2​ + 3
​ ​ • ​7
5​(​7​ - ​2​) = ​5​ • ​7​ - ​5​ • 2
​
Identity Property Adding by 0 or Multiplying by 1 5​ + 0​ ​ = ​5
Expression
do not change the value of a
number
5​ • 1
​ ​ = ​5
A math sentence with a
minimum of two numbers and
3+1
5•7-1•2
at least one math operation
Equation
a statement that the values of 6 + 2 = 4 + 4
two mathematical expressions 6 + 2 = 8
are equal
Example
An example that proves a
statement true
Counterexample An example that proves a
statement false
```