a. real life examples: 1. how many doughnuts are in 2 dozen? 2. how many quarters are in 4 dollars?...

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A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have 18 shoes?

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Page 1: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

A. Real life examples:

1. How many doughnuts are in 2 dozen?

2. How many quarters are in 4 dollars?

3. How many pairs of shoes do you have if you have 18 shoes?

Page 2: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

B. What is a Conversion Factor?

An equal relationship between two different units. Can be written as a ratio (or fraction).

Examples:

Page 3: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

C. Steps for Performing Factor Label System (FLS) Problems

1. GIVEN – what is given in the problem?

2. Unknown – what are you trying to find?

3. What conversion factor is needed?

4. Set-up – GIVEN/1 **diagonal units cancel out

5. Multiply on top, Divide on bottom – Box/circle answer

Page 4: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

GIVENx

UNKNOWN UNITS=

Answer (With units)

1 GIVEN UNITS

(Conversion Factor)

**MULTIPLY ALL NUMBERS ON TOP, DIVIDE ALL NUMBERS ON THE BOTTOM

**You may need more than 1 conversion factor!!

**Diagonal Units CANCEL

Page 5: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

D. One Step FL Problems1. How many liters are in 876,921 milliliters of water?

a. GIVEN - What is given in the problem?

b. UNKNOWN - What are you looking for?

c. What “conversion factor” relates the given units to the unknown units?

Page 6: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

D. One Step FL Problems

2. Find the number of kilograms of sugar in a 15,180 grams bag of sugar?

a)

b)

c)

Page 7: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

D. One Step FL Problems

3. How many feet are in 0.25 miles?

a)

b)

c)

 

 

 

 

Page 8: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

D. One Step FL Problems

 4. A person weighs 120 pounds. How much does this person weigh in kilograms?

a)

b) 

c) 2.20 lbs = 1 kg

 

Page 9: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

Check for Understanding:1. How many millimeters are in 0.245 meters?

2. Convert 55.39g to kilograms.

3. How many kilometers are in 5.62 miles?

Page 10: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

More One Step Problems?

Page 11: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

E. Multi-Step FLS Problems1. Convert 6,342mg to kg.

a)

b)

c)

 

Page 12: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

E. Multi-Step FLS Problems2. How many inches in 1 meter?

a)

b)

c) 1 in = 2.54 cm

Page 13: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

E. Multi-Step FLS Problems

 3. How many truckloads will it take to fill 2 warehouses?

a)

b)

c) 1 warehouse = 3000 boxes

1 truck = 235 boxes

Page 14: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

E. Multi-Step FLS Problems4. How many seconds are in 6.5 years?

a)

b)

c)

 

Page 15: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

Exit Slip:

1. What is the length in cm of a 3.55 km road?

a)

b)

c) 100 cm = 1 m

1000 m = 1 km

Page 16: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have
Page 17: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

F. Numerator/Denominator Problems

1. A sink leaks water at a rate of 2.5 mL/second. How many liters per second is this?

a)

b)

c)

 

 

 

Page 18: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

F. Numerator/Denominator Problems

2. A car drives down the highway at a speed of 62 miles/hour. How many meters/second is this?

a)

b)

c) 1609.34 m = 1 mile

60 s = 1 min

60 min = 1 hr

Page 19: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

F. Numerator/Denominator Problems

3. An object has a density of 266.2 lb/ft3. What is the density in g/cm3?

a)

b)

c) 1 kg = 1000 g1 kg = 2.2 lbs

1 in3 = 16.38 cm3

1 ft3 = 1728 in3

 

Page 20: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

F. Numerator/Denominator Problems

4. Find the number of miles/hour if a vehicle travels 0.89 m/s .

a)

b)

c) 39.37in = 1m12 in = 1 ft5280 ft = 1 mi

60 s = 1 min60 min = 1 hr 

Page 21: A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have

Exit Questions:1. You find a clear stone on your way home from school.

You decide to find the density to see if you can determine the identity of the stone. You found the mass to be 6.20 g and the volume to be 1.75mL. Calculate the density of the stone.

2. You looked up the density online but they are all listed in lbs/ft3. Convert your density to these units.