1. Clear off desk and get out something to write with

2. Turn to page 12
Leave page 11 BLANK!!

3. Dimensional Analysis

4. Dimensional Analysis:
A mathematical tool used to convert from one type of unit to another type of unit
The
Method
Ladder

5. Situation: You need to change $50 dollars into nickels
Situation: You need to change $50 dollars into nickels. How many nickels do you need ???

6. 1. Write down what we are given
We need a plan of attack!
(4 Steps)
1. Write down what we are given
$50 dollars

7. We need a plan of attack! 2. Find a common ratio
1. Write down what we are given
2. Find a common ratio
$1 dollar = 20 nickels

8. We need a plan of attack!
1. Write down what we are given
2. Find a common ratio
$1 dollar = 20 nickels
3. Place the ratio on the ladder so the unit that’s given is on the bottom

9. $50 dollars 20 nickels $1 dollar
Situation: You need to change $50 dollars into nickels. How many nickels do you need ???
$50 dollars
20 nickels
$1 dollar

10. We need a plan of attack! 4. Simplify!!!
1. Write down what we are given
2. Find a common ratio
$1 dollar = 20 nickels
3. Place the ratio in the chart so that unit that is in the given is on the bottom
4. Simplify!!!

11. Simplify means cancel out units and do the math
$50 dollars
20 nickels
$1 dollar
1000 nickels
Simplify means cancel out units and do the math
(Multiply the top and divide on the bottom)

13. inches

14. English System
inches
feet
yard
mile

15. English System mm
inches
feet
yard
mile

16. English System mm
inches cm
feet dm
meter
yard
mile km

17. English System mm
inches cm
feet dm
meter
yard
mile km

18. English System mm
inches cm
feet 1 dm
meter
yard
mile km

19. English System mm
inches cm
feet 1
2.54 dm
meter
yard
mile km

20. Common equalities:
1 inch = 2.54 cm
60 seconds = 1 minute

21. 1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft.
Equalities
1 m = 10 dm
1 mile = 5280 ft.
3 ft. = 1 yard
1 m = 3.28 ft.
2.54 cm = 1 inch

22. English System mm inches cm feet 1 2.54 dm meter yard mile km 1 3.28 1
1.09
mile km 1
1.61

23. Problem 1:
Convert -
8.5 cm = ? inches

24. Problem 1:
1 in
8.5 cm
______________
2.54 cm =
3.35 in.

25. 1 in 12.75 cm ______________ 2.54 cm = 5.02 in. 12.75 cm = ? in
Problem 2:
12.75 cm = ? in
1 in
12.75 cm
______________
2.54 cm =
5.02 in.

26. Problem 3:
32 ft second =
meters min ?

27. 1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 585.37 m_ min =
Problem 3:
1 m
32 ft
60 sec
1 min
______________
sec
3.28 ft
32 ft/sec
to meters/min
32 ft meter
sec min m_
min =

28. Worksheet:
Dimensional
Worksheet #1
DUE:

29. Worksheet:
Dimensional
Worksheet #1
DUE:
In 20 Min.