1. Wake-up Place old Wake-up in the Bin
Convert the following:
5.0cm to m
10.9m to mm
3.5mm to km
Calculate how many seconds are in a school day (8am-3:00pm). Show your work.

2. Dimensional Analysis and Factor Labeling

3. A cat is 12 long.

4. Math uses numbers. Science uses quantities which are described by numbers and a unit. The unit gives meaning to the number.
The cat is 46cm long.
The cat is 460mm long.
The cat is 18.1 in long.

5. Factor labeling/Dimensional Analysis
a. Problem solving method used to convert the units of a number into different units

6. Factor Labeling/Dimensional Analysis
b. Accomplished by multiplying the number by a conversion factor.

7. Conversion Factor
Two numbers, each with different units, which are mathematically equivalent to each other.

8. Equivalent Values
Open the bag and find equivalent values related to familiar items.
Can you arrange them?
Are the measurements equivalent?

9. English to Math Translations
1 can equivalent to 3 balls
1 can = 3 balls
1 can per 3 balls
1 can
3 balls

10. 1 loaf equivalent to 24 slices
1 loaf = 24 slices
1 loaf per 24 slices
1 loaf
24 slices

11. 1 carton equivalent to 12 eggs
1 carton = 12 eggs
1 carton per 12 eggs
12 eggs
1 carton

12. CONVERSIONS
Use equivalent values to move from one measurement to another
1 dozen eggs = 12 eggs … eggs = 1 dozen
Using fractions, this can be expressed:
1 dozen OR eggs
12 eggs dozen

13. How many eggs are in 15 dozen?
Let’s Practice #1….
How many eggs are in 15 dozen?

14. Factor Label/Dimensional Analysis
Set-up and Rules
1. Draw an empty grid (initially like a plus sign); leave room for potential work

15. Factor Label/Dimensional Analysis
Set-up and Rules
2. Start with what is given (number and unit); place desired unit after the equal sign.
15 dozen =
Eggs

16. Factor Label/Dimensional Analysis
Set-up and Rules
3. Select an equality that contains both the units of the known quantity and the desired units
1 dozen = 12 eggs

17. Factor Label/Dimensional Analysis Set-up and Rules
4. Create a conversion factor by writing:
Desired units
Known units

18. Practice
15 dozen
12 eggs =
Eggs
1 dozen

19. Factor Label/Dimensional Analysis Set-up and Rules
5. Make sure that units cancel along the way

20. Practice
15 dozen
12 eggs =
Eggs
1 dozen

21. Factor Label/Dimensional Analysis
Set-up and Rules
6. Everything on top (side by side) on the grid is multiplied and everything on the bottom is divided

22. Practice
15 dozen
12 eggs =
180
Eggs
1 dozen

23. Factor Label/Dimensional Analysis
HINT
Smaller number goes with the larger unit; larger number goes with the smaller unit

24. Factor Label/Dimensional Analysis: Practice #2
How many wheels are there on 350 Toyota trucks?
(1 pickup = 4 tires)
350 Pickups
4 Tires =
1400
Tires
1 Pickup

25. Calculate how many seconds are in a school day (8am-3:00pm)

26. Calculate how many seconds are in a school day (8am-3:00pm)
7 hours in a school day = ? seconds
60 minutes
60 seconds
7 hours =
25200 sec.
1 hour
1 minute

27. Practice #4 You're throwing a pizza party for 15 people.
Each person will eat 4 slices.
Each pizza costs $14.50 and has 12 slices per pizza.
How much is the pizza going to cost you?
Arrange pizza equivalences from bag.

28. RAILROAD: Factor-Label Method
START: by writing down given
1 party 15
people
party
given 1
NEXT: bring down given unit
NEXT: THINK and LINK
NEXT: cancel and continue

29. How much will the pizza cost for one party of 15 people?
4 slices
1 pizza
$14.50 =
? cost
1 party
1 person
12 slices
1 pizza
$72.50