PHILADELPHIA MATH TRAIL


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1. ESTIMATE THE RADIUS OF THE BIKE TIRE.
CHECK YOUR ESTIMATE WITH A RULER.

2. SUPPOSE THE BIKE TIRE HAS A DIAMETER OF 18".  USE PI = 3.14.  WHAT IS THE DISTANCE THAT THE TIRE WILL ROTATE ONCE?

3.  38% OF BICYCLERS UNDER 18 WEAR A HELMET.  CHANGE THIS TO A DECIMAL AND A REDUCED FRACTION.  DO YOU WEAR A HELMET TO RIDE YOUR BIKE?  WHY OR WHY NOT?

4.  IF YOU CAN RIDE 8 MPH, HOW FAR WILL YOU TRAVEL IN 1/2 HOUR?  3 HOURS?  

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1.  ABOUT HOW MANY 400 SQ. FT. OFFICES COULD FIT IN THIS BUILDING?

2.  IF OFFICE SPACE IN PHILLY AVERAGES $28 PER SQ. FT. MONTHLY, WHAT IS THE APPROXIMATE YEARLY INCOME THE OWNER COULD EXPECT?

3.  SKETCH OUT 2 OR MORE RECTANGULAR FLOOR PLANS  THAT COULD HAVE AN AREA OF 6800 SQ. FT.

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WHAT A SHOE SALE!!!  BUY ONE PAIR AT REGULAR PRICE AND GET 2ND PAIR FOR ONLY $1!!!

1.  COMPLETE THE CHART BELOW ASSUMING THAT EACH PAIR OF SHOES IS REGULARLY $25.

BUY         COST
1 PR         ____
2 PR         ____
4 PR         ____
11 PR       ____
12 PR       ____

2.  A PAIR OF HIGH HEELS IS NORMALLY $48.  IF YOU CAN GET THE SHOES FOR 20% OFF, WHAT IS THE SALE PRICE?


3.  THE SHOE STORE NEXT DOOR SELLS THE SAME $48 PAIR OF SHOES FOR $60, BUT THEIR ADVERTISED SALE IS FOR 30% OFF.  WHERE SHOULD YOU PURCHASE THE SHOES-STORE 1 OR 2?

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1.  IF MY VEHICLE IS 5' 8" TALL, CAN I SAFELY ENTER BOTH GARAGES?

2.  HOW MUCH EXTRA SPACE IS LEFT FOR CLEARANCE?

3.  A BOY WHO IS 5' 10 " JUMPS 1 FOOT IN THE AIR.  CAN HE TOUCH EITHER SIGN?  CAN YOU JUMP AND TOUCH EITHER SIGN?


4.  WHAT IS THE DIFFERENCE IN CLEARANCE ALLOWANCES FOR THE 2 GARAGES?


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NOTICE THE UNUSUAL FRONT OF THIS BUILDING.

1.  FOCUS ON THE TRIANGLE AT THE FRONT.  CLASSIFY THE TRIANGLE ACCORDING TO ITS SIDE LENGTHS AND MEASURE OF ITS ANGLES.

2.   THE OBTUSE ANGLE AT THE TOP MEASURES 120 DEGREES.
TELL HOW TO FIND THE MEASURE OF THE 2 ACUTE ANGLES AT THE BOTTOM.

3.  DO YOU SEE ANY OTHER POLYGONS OR GEOMETRY VOCABULARY?

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1.  ESTIMATE THE WEIGHT OF THE CLAY FLOWER POT.

2.  USE THE STRING AND TAPE MEASURE PROVIDED TO MEASURE THE HEIGHT AND CIRCUMFERENCE
OF THE TOP OF THE POT.
USING PI = 3, WHAT IS THE APPROXIMATE DIAMETER?  
CHECK TO SEE IF YOU ARE CLOSE.


3.  LOOK UP YOUR VOLUME FORMULAS.
CALCULATE THE APPROXIMATE VOLUME OF THIS CYLINDER.

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