MAT 142

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# MAT 142 - PowerPoint PPT Presentation

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

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 PowerPoints and HW assignments
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
Polya’s 4-Step Problem Solving
• Understand the Problem
• Devise a Plan
• Carry Out the Plan
• Looking Back
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
Examples
• You drive 100 miles in 2 hours.
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
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
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
Conversion Factors 3 Ways
• The following statements are equivalent:

12 inches = 1 foot

Conversion Examples
• Feet to inches
• Inches to feet
Using a chain of conversions
• How many seconds are there in one day?
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
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