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MAT 142

MAT 142. Orientation. Ms. Knop’s Website. https://faculty.scottsdalecc.edu/Knop Click on the MAT 142 main button to access the syllabus and pacing calendar Follow the drop-down menu to the Chapter P owerPoints and HW assignments. Course Objectives.

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MAT 142

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  1. MAT 142 Orientation

  2. Ms. Knop’s Website • https://faculty.scottsdalecc.edu/Knop • Click on the MAT 142 main button to access the syllabus and pacing calendar • Follow the drop-down menu to the Chapter PowerPoints and HW assignments

  3. Course Objectives • Capacity for informed problem solving and decision-making in college, career, & life • Understanding large numbers & estimating • Tools to make informed financial decisions • Analyze statistics and read graphs • Basic ideas of probability and risk

  4. Polya’s 4-Step Problem Solving • Understand the Problem • Devise a Plan • Carry Out the Plan • Looking Back

  5. Unit 2A The Problem Solving Power of Units • Units describe a quantity being measured • “Unit analysis” means using the units of a problem to figure out how to solve it. It is a problem solving technique • Remember, we cannot add or subtract numbers that have different units • However, we can multiply and divide numbers with unlike units

  6. Examples • You drive 100 miles in 2 hours. • The answer is read, “miles per hour”

  7. Examples • The area of a room is measured by multiplying length times width • If a room is 12 ft long and 10 ft wide, the area • Answer is read in square feet

  8. Identify the units • The price you paid for gas, found by dividing total cost in $ by # of gallons • The area of a circle, found by using where radius r is measured in cm. • A volume found by multiplying an area in acres by a depth measured in feet

  9. Unit Conversions • Recall: we can make equivalent fractions by multiplying by a form of one. • The last two examples represent CONVERSION FACTORS because the values of the num. & demon. Are equivalent but the units are different

  10. Conversion Factors 3 Ways • The following statements are equivalent: 12 inches = 1 foot

  11. Conversion Examples • Feet to inches • Inches to feet

  12. Using a chain of conversions • How many seconds are there in one day?

  13. Converting units with exponents • We must take special care when converting units raised to powers. • Example: convert 1 sq. yard to square feet • Since 1 yd = 3 ft, substitute

  14. Currency Conversion Tables • Given British Pound • Dollars per Foreign = 1.414 • Foreign per Dollar = 0.7072 • Note per means “per 1 of the unit” • 1 Pound = 1.414 Dollars • 1 Dollar = 0.7072 Pounds

  15. Group Tasks • A new sidewalk will be 4 ft wide, 200 ft. long, and filled to a depth of 6 inches with concrete. You need how many cubic yards of concrete? • If the Greenland Ice Sheet melted it would release 2.5 million cubic km of water over the Earth’s 340 million km ocean surface. How much would the sea level rise? • Compare filling your 6ft x 3ft x 1.25 ft bathtub with water (7.5 gal=1 cu. ft water) vs. taking a shower for 10 min with a showerhead flow rate of 1.75 gallons per minute.

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