DIMENSIONAL ANALYSISFACTOR-LABELCONVERSIONS

Basic Measurement• A quantitative measurement always consists of a

number and a unit. • A qualitative observation simply makes a statement.

• Two major systems are used today:English System – used in US onlyMetric System (SI SYSTEM) - used by rest of the world

FUNDAMENTAL SI UNITS

Stair Step method

Kilo- (K) 1000 Hecto- (H) 100 Deka- (D) 10 base units Deci- (d) .1 Centi- (c) .01 Milli- (m)

.001

Grams, liters, meters

If you know left from right ANDIf you can count …. YOU CAN CONVERT!

PRACTICE• 525568 mm = ? m

• 0.00654 km = ? m

525.568 m

Start on mm … Move three …To the Left

6.54 m

Start on km… Move three … To the Right

Equivalent Values• Open the bag and find equivalent values related

to familiar items. • Can you arrange them? • Are the measurements equivalent?

• 1 can equivalent to 3 balls 1 can = 3 balls

• 1 can per 3 balls 1 can 3 balls

English to Math Translations

• 1 loaf equivalent to 24 slices 1 loaf = 24 slices

• 1 loaf per 24 slices1 loaf24 slices

• 1 carton equivalent to 12 eggs 1 carton = 12 eggs

• 1 carton per 12 eggs12 eggs 1 carton

CONVERSIONS• Use equivalent values to move from one measurement

to another 1 dozen eggs = 12 eggs ….. 12 eggs = 1 dozen

• Using fractions, this can be expressed:1 dozen OR 12 eggs

12 eggs 1 dozen

CALCULATE• Calculate how many seconds are in a school

day (from 8:00 to 3:00).

• Calculate your height in centimeters. (1 inch = 2.54 cm, 12 inches = 1 foot)

FACTOR-LABEL HINTS

• START with what is given (amount and unit)• END with what you are trying to get to (unit)• MAKE SURE YOUR UNITS CANCEL ALONG THE WAY!• * Smaller number goes with larger unit. • * Larger number goes with smaller unit.

1 elephant = 40,000 mice

USE RAILROAD TRACKS!

FACTOR-LABEL EXAMPLE• 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.

RAILROAD: Factor-Label MethodSTART: by writing down given

given

1 party

party

NEXT: bring down given unitNEXT: THINK and LINK

people

1

15

NEXT: cancel and continue