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Essential Questions Go to the heart of a discipline Recur naturally throughout one’s learning and in the history of a field Raise other important questions Essential Questions Examples Must a story have a moral, heroes, and villains?

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Essential Questions

  • Go to the heart of a discipline

  • Recur naturally throughout one’s learning and in the history of a field

  • Raise other important questions


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Essential Questions Examples

  • Must a story have a moral, heroes, and villains?

  • How does an organism’s structure enable it to survive in its environment?

  • Who is a friend?

  • Do we always mean what we say and say what we mean?


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More Essential Questions

  • What makes a video game “good”?

  • Where do Waves Come From?

  • When is Fighting Good and When Is it Bad?

  • What is a Home?

  • Who Owns the Internet?


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Unit Questions

  • Provide subject- and topic- specific doorways to essential questions

  • Have no obvious “right” answer

  • Are deliberately framed to provoke and sustain student interest


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Unit Questions Examples

  • Is Huck Finn a hero?

  • Has history proven that the enemy of my enemy is my friend?

  • How do cats see in the dark?

  • Does technology always lead to progress?

  • Is the gap between rich and poor better now than 100 years ago?


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Essential Question

Are vacations worth the cost?


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Unit Questions

  • What is the greatest expense of traveling abroad?

  • Which country would be the most interesting to visit?

  • What is the best travel method for seeing a country?

  • How would you estimate the cost of traveling in Germany?


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Unit Question

Are Germany’s gas prices affordable?


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Joe’s Trip to Germany

By

Richard Holden


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Statement of Problem

  • Joe is planning a trip to Germany

  • He will rent a car to drive while there

  • He knows the places he plans to go

  • He wants to know how much he will spend on gas while there (in U.S. dollars)


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Joe Quantifies the Information

  • Know the total distance to drive

  • Know the price of gasoline in Germany

  • Know how many miles/gallon he gets

  • Know the conversions:

    • For kilometers to miles

    • For gallons to liters

    • For Deutsch Marks to dollars


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Total Distance to Drive

Joe studies a map of Germany and finds he will drive a total of 6500 kilometers.


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Price of Gas in Germany

  • Joe finds out from an Internet search that the price of gasoline in Germany is 1.6 DM per liter (they are still accepting Deutsche Marks in Germany)


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Miles Per Gallon

Joe’s car gets 32 miles per gallon


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Conversions

  • 1 Km = 0.62 miles

  • 1 gal = 3.785 liters

  • 1.99 DM = $1.00


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Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known


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The Secret!!!

  • Use ratios equal to one (identity property of multiplication)

  • Set up each ratio so units will cross cancel

  • Begin with the distance (6500 km)

  • Continue until the distance is changed to dollars


What is now known18 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km

Next: Find an equation with Km in it


What is now known19 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km X 0.62 mi

1 Km

Next: Find an equation with miles in it


What is now known20 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km X 0.62 mi X 1 gal

1 Km 22 mi

Next: Find an equation with gallons in it


What is now known21 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km X 0.62 mi X 1 gal X 3.785 liters

1 Km 22 mi 1 gal

Next: Find an equation with liters in it


What is now known22 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km X 0.62 mi X 1 gal X 3.785 liters X 1.6 DM

1 Km 22 mi 1 gal 1 liter

Next: Find an equation with DM in it


What is now known23 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution

6500 Km X 0.62 mi X 1 gal X 3.785 liters X 1.6 DM X $1.00

1 Km 22 mi 1 gal 1 liter 1.99DM

Finally, multiply by the numerators and then divide by the denominators.


What is now known24 l.jpg

Distance is 6500 Km

Gas price is 1.6 DM/liter

Car gets 22 mpg

1 Km = 0.62 miles

1 gal = 3.785 liters

1.99 DM = $1.00

What is Now Known

The Solution will be in Dollars

6500 Km X 0.62 mi X 1 gal X 3.785 liters X 1.6 DM X $1.00

1 Km 22 mi 1 gal 1 liter 1.99DM

$557.46


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