Warm UpWarm Up – Discuss with a neighbor… – Discuss with a neighbor…

A 6ft tall tent standing right next to a cardboard A 6ft tall tent standing right next to a cardboard box casts a 9ft shadow. If the cardboard box casts box casts a 9ft shadow. If the cardboard box casts

a shadow that is 6ft long then how tall is it?a shadow that is 6ft long then how tall is it?How would you set up a proportion?How would you set up a proportion?

What next?What next?

Use Use pagespages 372-373372-373 in your TEXTBOOK to in your TEXTBOOK to fill in as much as you can on scale drawings fill in as much as you can on scale drawings

graphic organizer!graphic organizer!

Scale DrawingsScale Drawings

EQ: How do proportions help us to find EQ: How do proportions help us to find distances in scale drawings?distances in scale drawings?

What is scale?

• It is the ratio between 2 sets of It is the ratio between 2 sets of measurements.measurements.

– Enlargement = made Enlargement = made biggerbigger– Reduction = made Reduction = made smallersmaller

What is a Scale Drawing?

• A smaller or larger representation of A smaller or larger representation of a real life object.a real life object.

• Real life examples…Real life examples…

To scale or not to scale?To scale or not to scale?

To scale or not to scale?To scale or not to scale?

Map Scale

Solving with Proportions Solving with Proportions (for scales and lengths)(for scales and lengths)

*Remember**Remember*Compare…Compare…

ORORMap distanceMap distance

Actual distanceActual distanceScale lengthScale lengthActual lengthActual length

ExamplesExamples1. Finding the scale 1. Finding the scale (p. 372, Ex. 1A)(p. 372, Ex. 1A)

The length of an object on a scale The length of an object on a scale drawing is 5 cm, and its actual length drawing is 5 cm, and its actual length is 15m. The scale is is 15m. The scale is 1cm 1cm : : ? m ? m

2. Finding the actual length 2. Finding the actual length (p. 373, Ex. 2)(p. 373, Ex. 2)

Under a 1000mm:1mm microscope Under a 1000mm:1mm microscope view a paramecium appears to have view a paramecium appears to have length 39mm. What is its actual length 39mm. What is its actual length?length?

Mrs. Spanier’s Seating ChartMrs. Spanier’s Seating ChartMrs. Spanier wants to make a seating chart for Mrs. Spanier wants to make a seating chart for

her classroom, but her classroom is very her classroom, but her classroom is very large and her paper is not. large and her paper is not.

A.A. She knows that the without margins, the She knows that the without margins, the length of her paper is 10in., and the length length of her paper is 10in., and the length of the back of her classroom is 35ft. The of the back of her classroom is 35ft. The scale is scale is 2in 2in : : _? ft_? ft

B.B. Using your scale, find the approximate Using your scale, find the approximate scale width of the classroom if the actual scale width of the classroom if the actual width is 30 ft.width is 30 ft.

● Rome● Athens● Sparta● Carthage● Babylon

Famous Cities in Ancient History:

● Alexandria● Persepolis● Ninevah● Troy● Knossos

City Mode of Transportation

Building to Visit

Souvenir Trade Product

Famous Person to

Meet

Rome Roads Colosseum Roman Coins Scipio

Athens Trireme Parthenon Olive Oil Socrates

Sparta Barefoot (march quickly)

Military Barracks

Iron Rods King Leonidas

Carthage Ship Amphitheater Wheat Hannibal

Babylon Wheeled Cart Hanging Gardens

Sundials Hammurabi

Alexandria Ship Lighthouse Library Scrolls Alexander the Great

City Mode of Transportation

Building to Visit

Souvenir Trade

Product

Famous Person to Meet

Persepolis Camel The Hall of 100 Columns

Barley Darius

Ninevah River Boat Library Cuneiform Tablet

Ashurbanipal

Knossos Ship King Minos’ Palace

Fresco Minotaur

Troy Chariot Trojan Horse Iron Sword and Shield

Paris and Helen

Rome

Carthage

Athens

Sparta

Knossos

Alexandria

Troy

Ninevah

Babylon

Persepolis

Ur

Measure the distance from New York City to your destination. Scale is 1½ inches = 600 km.

NYC

Try this one!Oak Grove and Salem are 87 miles from

each other. How far apart would the cities be on a map that has a scale of 5in : 29mi?

**Set up a proportion****Use cross products**