5. Notebook Examples:
Properties: (In the Resource Section)
Commutative Property of Addition
a + b = b + a
2 + 3 = 3 + 2
Commutative Property of
Multiplication
a • b = b • a
2 • ( 3 ) = 3 • ( 2 )
The Commutative Property says that the order of the numbers
being added or multiplied does not matter
Formulas: (Resource)
1. Perimeter of a rectangle: P = 2L + 2W
2. Area of a rectangle: A = L x W
6. In an expression, you do not solve for any variables.
Expressions are simplified by combining like terms.
Vocabulary: (Resource)
Notebook Examples:
7. Vocabulary: (Resource)
3. Constant:
A Constant is a number that does not change.
4. Variable:
A variable is a number that we don’t know yet. Once
the variable is solved for, it becomes a constant.
State the constant and the variable, then write the
equation describing the following:
You make $5.00 an hour and want to know how many
hours you need to work to make $125.00
8. Warm-Up: Number Sense
Large & Small Numbers
1. What number comes after a trillion?
2. How many millions in a billion?
Write your answer in numbers and words:
3. How far is a one-way trip from the Earth to the Sun?
4. Each time a comma is added to a number, we have
multiplied by what number?
9. 5. What is a thousand times a thousand times a thousand?
Warm-Up: Number Sense
Large & Small Numbers
6. A hummingbird can flap its wings 10 times in one second.
How long does it take to flap its wings once?
Write your answer in numbers and words:
10. Large & Small Numbers: Answers
1. What number comes after a trillion? A Quadrillion
2. How many millions in a billion?
Write your answer in numbers and words:
3. How far is a one-way trip from the Earth to the Sun?
1000
20,420,060,000 miles Twenty billion, four-hundred
twenty million,
sixty-thousand miles.
(‘and’ is not a number)
4. Each time a comma is
added to a number, we have
multiplied by what number?
1,000
11. 5. What is a thousand times a thousand times a thousand?
One Billion
0.1 seconds One-tenth of a second
6. A hummingbird can flap its wings 10 times in one second.
How long does it take to flap its wings once?
Write your answer in numbers and words:
Large & Small Numbers: Answers
12. Write an expression to represent:
Three minus the quotient of a number and six.
Write an expression to represent:
Three less than three times a number x.
Translating Expressions
13. After Translating, Equations are solved for the unknown variable
1. Five less than a number is 18. What is the number?
2.Two-thirds of a number is equal to 11. What is the number?
3. A board 76 inches long is cut into two pieces. One piece is 5
inches less than twice as long as the first. How long is each piece?
Translating Equations: