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DIMENSIONAL ANALYSIS FACTOR-LABEL CONVERSIONS

DIMENSIONAL ANALYSIS FACTOR-LABEL CONVERSIONS. 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 only

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DIMENSIONAL ANALYSIS FACTOR-LABEL CONVERSIONS

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  1. DIMENSIONAL ANALYSISFACTOR-LABELCONVERSIONS

  2. 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 only Metric System (SI SYSTEM)- used by rest of the world

  3. FUNDAMENTAL SI UNITS

  4. Stair Step method Kilo- (K) 1000Hecto- (H) 100Deka- (D) 10 base units Deci- (d) .1Centi- (c) .01Milli- (m) .001 Grams, liters, meters If you know left from right AND If you can count …. YOU CAN CONVERT!

  5. PRACTICE 525.568 m Start on mm … Move three …To the Left • 525568 mm = ?m • 0.00654 km = ? m 6.54 m Start on km… Move three … To the Right

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

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

  8. 1 loaf equivalent to 24 slices 1 loaf = 24 slices • 1 loaf per 24 slices 1 loaf 24 slices

  9. 1 carton equivalent to 12 eggs 1 carton = 12 eggs • 1 carton per 12 eggs 12 eggs 1 carton

  10. 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

  11. 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)

  12. 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!

  13. 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.

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

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