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Catalyst. Solve for x: 3x = y(x + 3) – 3, given y = 5. Agenda. GUESS Method: How to use it. The GUESS method will be your best friend for this entire year, especially if you have trouble with word problems! Here it is: G: given U: unknown E: equation S: substitute S: solve.
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Catalyst Solve for x: 3x = y(x + 3) – 3, given y = 5
GUESS Method: How to use it • The GUESS method will be your best friend for this entire year, especially if you have trouble with word problems! • Here it is: • G: given • U: unknown • E: equation • S: substitute • S: solve
Don’t Forget Remember the Following Directions activity from last week? Read and reread everything in the problem GUESS! – work it out! Then check if your answer makes sense
Example #1 • What is the speed of an airplane that travels 500 miles in 40 minutes? • Read and reread • GUESS! • Does the answer make sense?
GUESS G = Given = D= 500 miles T = 40 minutes U = Unknown = speed = ? E = Equation speed = D/T S = Substitute S = Solve!
Example #2 • Jerry participated in a hot dog contest and had a speed of 2 hot dogs/minute. If the competition is 12 minutes long, and S = H/T, where H = hot dogs and T = time, how many hot dogs did Jerry eat? • Read and reread • GUESS! • Does the answer make sense?
Example #3 • Calculate the centripetal acceleration for a yo-yo with a radius of 0.7 m being swung with a velocity of 3 m/s, if a = v2/r • Read and reread • GUESS! • Does the answer make sense?
Example #4- Challenge • My daughter is twice as old as my son and half as old as I am. In 22 years, my son will be half my age. How old is my daughter? • Read and reread • GUESS!(What if you don’t have an equation?) • Does the answer make sense?
Reference Sheets • Units • All physics terms have units (not all are included on the sheet) • Some have more than one (distance can be in meters or kilometers, etc.) • Everything needs a unit! • Equations • In order by unit
Practice Problems • Megan drives her scooter with an average speed of 23.0 km/h. How long will it take her to drive 9 km? (speed = distance/time) • If a force of 20 N is being applied to push a cart at an acceleration of 5 m/s2, what is the mass of the cart? (force = mass*acceleration) • A wave has a wavelength of 5 meters, a wave period of 5 seconds and a height of .67 meters. What is the velocity of the wave? (velocity = wavelength/period) • Yo-Yos cost $2.75. Toy bears cost twice as much. David bought 2 toy bears. How much did David spend? • The difference between 55 and four times a number is equal to fifteen. Find the number.