This document contains a math lesson on large and small numbers, number relationships, and problem solving. It includes warm-up questions about numbers greater than or less than a trillion, billions, and millions. It also has questions about the width of a human hair, distance from Earth to the Sun, and how fast a hummingbird flaps its wings. The document provides answers to the warm-up questions and has an end of week review on number operations and translating word problems into algebraic equations. It concludes with an example of solving a multi-step word problem algebraically to find the individual weights of Mike, Bob, and Don.

1.  Distribute Documents
 Review Syllabus & Grades
 Khan Academy Registration
 Review Math from this Week
Today:

3. Registering at the Khan Academy

4. 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?

5. Write your answer in numbers and words:
5. In inches, what is the average width of a human hair?
A thousand hairs lined up is how long?
Write your answer in numbers and words:
7. In seconds, how long does it take a hummingbird to flap its
wings one time?
6. In one second, how many times can a hummingbird flap its
wings?
Warm-Up: Number Sense
Large & Small Numbers

6. 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

7. Write your answer in numbers and words:
5. In inches, what is the average width of a human hair?
0.007 inch Seven -Thousandths of an inch
A thousand hairs lined up is how long?
Write your answer in numbers and words:
7. In seconds, how long does it take a hummingbird to flap its
wings one time?
7 inches
0.1 seconds One-tenth of a second
6. In one second, how many times can a hummingbird flap its
wings? 10 times
Large & Small Numbers: Answers

8. End of Week Review:
1. 5 + 7 = 12; 5 = 2. 12 – 7 = 5; 12 =
3. 8 * 4 = 32; 8 = 4.
𝟑𝟐
𝟒
= 8; 32 =
5. Translate
The difference between a number and four.
The sum of three times a number and eight.
Four less than the product of four and a number is nine.
The quotient of a number and eight is one and five-tenths.
The difference between four and a number.
Translate & Solve:

9. Number Relationships & Problem Solving
When solving for unknown quantities, always assign the variable
to the smallest quantity. (Smallest may be lightest, least
expensive, shortest, etc.
Solve Algebraically:
4 more than the sum of two consecutive odd numbers is 80
Three more than the sum of two consecutive numbers is 202.

10. Bob weighs 10 more pounds than Mike. Don weighs 15 more
pounds than Bob. The sum of their weight is 440 pounds. How
much does each weigh?
Who weighs the least? We’ll use ‘m’ as the variable.
Now, the key part of our solution: For the other two, what
are their weights in relation to Mike’s weight?
Bob is... m + 10 Don is... m + 10(Bob) + 15, or m + 25
Putting them all together, we have... m + (m + 10) + (m + 25) = 440
3m + 35 = 440 3m = 405 Mike = 135, Bob = 145, Don = 160