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WARM UP 1. Do ACT Prep Passage B – Stickleback Fish. Start when the bell rings. Mathematical Expressions Units • Numbers need units to be meaningful – 14 ???? • grams, pounds, kilograms, tons? Formulas • One unit is determined by a mathematical operation using two (or more) other units – area = l x w – d = m/v – e = mc2 Formulas • You can rearrange the equation to solve for an unknown unit – w = area / l – m = dv – m = e / c2 Practice Factor – Label Method • Allows you to convert from one unit to another – Miles to feet – m to km Factor – Label Method • Need a conversion factor that represents how the two units are related – 1 mile = 5,280 feet – 1 km = 1,000 m Factor – Label Method • Conversion Process 1. Write known number, with unit, as a fraction 244 rolls 1 Factor – Label Method • Conversion Process 1. …. 2. Write conversion factor as a fraction, with desired unit on top 244 rolls 1 1 dozen rolls 12 rolls Factor – Label Method • Conversion Process 1. … 2. … 3. Multiply the fractions and cancel the units 1. 244 rolls 1 dozen rolls x 1 12 rolls Practice WRAP UP • Give one reason units are important. • Use the factor-label method to convert 19 quarts into gallons.